# PreAlgebra Distributed Practice Daily by z2q8RQ9

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```									                                           Prealgebra Daily Warm-Ups
Week 1 Monday

1. Evaluate             2. Evaluate             3.

3  2+9  3              5  5+6  6               64.6  0.002 =

4. Refer to Graph B.     5. Katie took 7 math
What is the              tests in one
allowance for a 12-      semester. What is
year-old?                the range of her test
scores?

90, 73, 84, 91, 86,
76, 94

Week 1 Tuesday

1. Evaluate             2. Evaluate             3.

43                      53                  369.3  0.03 =

4. Refer to Graph B.     5. The weekly
How much more            salaries of six
does a 14-year-old       employees at a
receive for an           restaurant are
allowance than an        \$240, \$120, \$180,
11-year-old?             \$180, \$150 and
\$210.
Find the mean.

Order of Operations including Integers and Algebraic Expressions
August 2007
Prealgebra Daily Warm-Ups
Week 1 Wednesday

1. Evaluate             2. Evaluate             3.

a+b                       c-b                  12.2  200 =

when a=2 and b=3.        when c=12 and b=5.

4. Refer to Graph B.     5.
How much money is
paid out by a family          52.55  100 =
with 14-year-old
twins and a 12-year-
old brother?

Week 1 Thursday

1.Evaluate              2. Evaluate             3. The weights of 9
students, measured
(4)(6)                    (8)(3)           in pounds, are
recorded below.
2                         6              Find the mean
weight.

137, 120, 115, 119,
122, 120, 135, 130,
124

4. Find the median    5. Find the mode of
of the weights in #3. the weights in #3.

Order of Operations including Integers and Algebraic Expressions
August 2007
Prealgebra Daily Warm-Ups
Week 2 Monday

1.                    2.                       3. Evaluate

1 2                  3 1                     12 – 2  6
                    
6 3                  8 4

4. Refer to Graph C.   5. The grade point
What percent of        averages of 10
Ethan’s budget is      students are listed
spent on               below. Find the
entertainment?         median grade point
average.

3.25, 3.52, 2.50,
2.82, 3.87, 1.85,
1.94, 2.53, 2.54,
2.80

Week 2 Tuesday

1.                    2.                       3. Evaluate

11   3                3   1                  7 + 3(12 - 2)
-   =                -   =
15 10                 5 10

4.                     5. Mr. West listed
10 whole numbers
3,000  0.005 =   on the blackboard.
What is the range of
these integers?

14, 12, 7, 0, 5, 8, 17,
11, 19, 18

Fractions                                           August 2007
Prealgebra Daily Warm-Ups
Week 2 Wednesday

1.                      2.                    3. Refer to
Graph C. What
1 2                     5 7             percent of Ethan’s
                                   budget is spent on
3 5                     4 6             either food or
housing?

4.                       5. Refer to Graph C.
If Ethan has a total
8,200  0.02 =      of \$2000 to spend,
how much does he
plan to spend on
food?

Week 2 Thursday

1.                      2.                    3. Evaluate

1 3                     3 2                 5–2+7  3
                       
2 5                    10 5

4. At a recent           5. Find the mean of
meeting of dieters       the weight losses in
the following total      #4.
pounds lost were
recorded by the
members:
5, 3, 4, 7, 11, 6, 10,
6, 10, 5.
Find the median for
these losses.

Fractions                                          August 2007
Prealgebra Daily Warm-Ups
Week 3 Monday

1. What is true about       2.                         3.
the product of 0.5 and a
number greater than                  0.25  0.7 =              11 1
zero, but less than one?                                          - =
A.   less than 0.25
12 3
A.   less than 0.5           B.   0.25
B.   equal to 0.5            C.   greater than 1
C.   greater than one        D.   greater than 0.25,
D.   greater than 0.5 but         but less than 1
less than one

4. Evaluate                  5. Find the mode of the
following test scores:
2
10
89, 77, 91, 81, 77, 89,
84, 95, 90, 93

Week 3 Tuesday

1. What is true about       2. What is true about      3.
the quotient of 20 and       the quotient of 5 and
1                            1                                 5       3
?                            ?
2                            4                                            =
12       5
A.    less than 20           A.    less than 5
B.    greater than 20        B.    greater than 5
C.    greater than 20, but   C.    greater than 5, but
less than zero               less than zero
1                            1
D.    greater than           D.    greater than
2                            4
but less than 20             but less than 20

4.                           5. The number of
points scored in a series
45  0.1 =           of football games is
listed below. Which
score occurred most
often?

7, 13, 18, 24, 9, 3, 18

Multiply or divide by 0<x<1 or x>1                           August 2007
Prealgebra Daily Warm-Ups
Week 3 Wednesday
1. For what values of     2. For what values of     3. Evaluate
x will 30  x give an      x will 10  x give an
answer greater than 30?    answer greater than 10?             a  b

A. any values less than    A. any values less than when a=3 and b=7.
zero                       zero
B. any values greater      B. any values greater
than one                   than one
C. values between zero     C. values between zero
and one                    and one
D. no values will give     D. no values give you
greater than 30            than 10

4. Refer to Graph C.       5.
What factional part (in
simplest terms) of               631  0.001 =
Ethan’s budget is spent
on housing?

Week 3 Thursday
1. What is true about     2.                        3.
the product of 0.25 and
a number between zero            0.25  0.9 =                3 9
and one?                                                       
A. less than 0.25                10 10
A. less than 0.25          B. 0.25
B. equal to 0.25           C. greater than 0.25
C. greater than 1

4. The Smith family        5. What is the median
drove through 7 states     of the gas prices in #4?
on their summer
vacation. What is the
range of the gasoline
prices they saw on their
trip?

\$2.19, \$2.05, \$2.23,
\$2.09, \$2.14, \$2.25,
\$2.21

Multiply or divide by 0<x<1 or x>1                        August 2007
Prealgebra Daily Warm-Ups
Week 4 Monday
1. Write the             2. Write the                3. How does
expression:               expression:                       1
12  compare to 12?
3
Seven increased by a      Six increased by a
number w.                 number x.                    A.   <12
B.   =12
C.   >12
D.   cannot be
determined

4.                        5. Ms. Johnson
assigned the following
3   1             number of problems for
+   =           homework on 10
4   6             different days. What is
the mode?

20, 35, 35, 40, 39, 25,
42, 36, 37, 30

Week 4 Tuesday

1. Write the equation:   2. Write the equation:      3. For what values of n
will 5  n give an
Nine less a number is     Twelve less a number is      answer greater than 5?
two.                      three.
A.   n<0
B.   n>1
C.   0<n<1
D.   no values of n give
greater than 5

4. Evaluate               5. A pitcher recorded
c              the following number of
strikeouts in a season:
a              9, 5, 8, 10, 11, 8, 9, 10,
when c=15 and a=3.        13, 10, 12, 8.
Find the median of
these values.

Writing expressions and equations                           August 2007
Prealgebra Daily Warm-Ups
Week 4 Wednesday

1. Write the            2. Write the           3.
expression:              expression:
5      7
Four less than a            Five less than a                -
number x.                    number y.                8     12 =

4. Refer to Venn         5.
Diagram D. How
many students have            23,568 + 2,567 =
at least one cat?

Week 4 Thursday

1. Write the            2. Write the                            1
3. How does         12
equation:                equation:                                3
1
compare to       ?
Five less than twice a   Two less than twice a                  3
number equals five.      number equals two.
1
A.   <
3
1
B.   =
3
1
C.   >
3
D. cannot be
determined

4. Evaluate              5. A marathon race
was completed by 5
4  (5 + 1)  2      runners. What is the
range of the times?

2.7 hours, 8.3 hours,
3.5 hours, 5.1 hours,
4.9 hours, 4.2 hours

Writing expressions and equations                        August 2007
Prealgebra Daily Warm-Ups
Week 5 Monday

1. Explain 2 ways to      2. Explain 2 ways to      3. Write the expression.
measure line segment       measure CD .
AB.                                                    2
of a number k
2”         4”             7cm       2cm           3
A                     B    C                      D   increased by eight.

4. For what values of n   5. Find the mean of the
will 20  n give an        following data set:
answer less than 20?
21, 34, 26, 39, 27, 27,
A.   n<1                   22, 23, 35, 33, 36
B.   n>1
C.   1<n<2
D.   no values of n give
than 20

Week 5 Tuesday

1. The price of the       2. To find the volume     3. Write the expression.
lunch items were 50¢,      of a rectangular prism
30¢ and \$1.25. Fred        multiply the length        The difference between
added 50¢ and 30¢ then     times the width times      a number m and 12.
\$1.25. Alice added 30¢     the height. The length
and \$1.25 then 50¢.        is 9 cm, the width is 3
Who is correct and         cm and the height is 5
why?                       cm. Juan did
(9  3)  5
and Sarah did
(3  5)  9
Who is correct and
why?

4.                         5. Find the range of
these quiz scores:
3 5
               93, 78, 83, 88, 90, 71,
5 6               86

Problem solving with properties and equivalent representations of numbers
August 2007
Prealgebra Daily Warm-Ups
Week 5 Wednesday

1. Frank had \$8 and       2. Maria made 3           3. What happens
Joe had \$4. Each boy       dozen cookies and          when you multiply a
was given \$5 more.         Sam made 5 dozen           number between zero
Explain two ways to        cookies. That was not      and one by a number
find the total amount      enough cookies so          greater than one?
of money of the boys       each had to make 4
together.                  dozen more cookies.         A. It has a value
Explain two ways to            less than 0.
find the combined           B. It has a value
total number of dozen          less than 1 but
cookies.                       greater than 0.
C. It has a value
greater than 1.
D. It has a value of
1.

4. Evaluate                5. Refer to Venn
Diagram D. How
14 – 6  2 + 5        many students have
at least one dog and
one cat?

Week 5 Thursday

1. I have \$20 and    2. I went to the mall          3. Write the
multiplied it by one. with \$50. I spend \$20           expression.
How much money do I for a shirt, \$25 for
now have? Write the   shoes, and \$5 at the            Six less than
3
of
problem.              food court. How                                 4
much money do I now             the number.
have? Write the
problem.

4.                         5. Evaluate

2 9                      100  5 2 + 10
 
21 10

Problem solving with properties and equivalent representations of numbers
August 2007
Prealgebra Daily Warm-Ups
Week 6 Monday

1. Identify the rule     2. Identify the rule      3. True or false.
to find the nth term in   to find the nth term in
the following             the following              Multiplying \$8 times
sequence:                 sequence:                  5 is the same as 5
times \$8.
4, 7, 10, 13, …           5, 9, 13, 17, …

4. Write the equation:    5. The mean price of
5 items is \$7.00. The
The square of a           prices of the first four
number is sixteen.        items are \$6.50,
\$8.00, \$5.50, and
\$6.00. How much
does the fifth item
cost?

Week 6 Tuesday

1. Identify the rule     2. Identify the rule      3. Betsy had \$5 and
to find the nth term in   to find the nth term in    James, \$10. They
the following             the following              were both given \$20.
sequence:                 sequence:                  Write 2 ways to find
the total amount of
1, 3, 5, 7, …             3, 7, 11, 15, …            money.

4. Evaluate               5. On a cold winter
day in January, the
(5 + 2)  4 + 3           temperature for 9
cities is recorded in
Fahrenheit. What is
the mode of the
temperatures?

-8, 0, -3, 4, 12, 0, 5,
-1, 0

Patterns                                                 August 2007
Prealgebra Daily Warm-Ups
Week 6 Wednesday

1. Write the rule for   2. Write the rule for   3. Write the equation:
the nth term:            the nth term:
The sum of two
1      1             1 1 3                   consecutive numbers
1, 1 , 2, 2 , …          1 ,1 ,1 ,…               is 37.
2      2             4 2 4

4.                       5.

5   1               1.2356 + 2.8978 =
   =
6   2

Week 6 Thursday

1. Write the rule for   2. Write the rule for   3. The lawyers: Smith,
the nth term:            the nth term:            Jones & Thomas have a
very busy practice. Mr.
13, 14, 15, 16, …        7, 8, 9, 10, …           Smith & Miss Jones
worked on a case before
Mrs. Thomas joined
them. On another, Miss
Jones & Mrs. Thomas
started the interviews
before Mr. Smith joined
them. Did all three
lawyers work on each
case? Explain your
reasoning.

4. Which statement is    5.
1                         10 6
16        =m?
4                            
21 7
A.   m<16
B.   m>16
C.   0<m<1
D.   m=16

Patterns                                              August 2007
Prealgebra Daily Warm-Ups
Week 7 Monday

1. What do you do      2. What do you do        3. Write the rule for
to both sides of the    to both sides of the      the nth term:
equation to solve       equation to solve
x + 3 = 9?             4 + m = 10?          1    1   1
1 ,3 ,5 ,7 ,…
1
Find the solution.      Find the solution.        2    2   2    2

4. Does                 5. The test scores of
7+8=8+7?          9 seventh graders are
Explain.                listed below. Find
the mode.

82, 92, 75, 91, 92, 89,
95, 100, 86

Week 7 Tuesday

1. What do you do      2. What do you do        3. Write the rule for
to both sides of the    to both sides of the      the nth term:
equation to solve       equation to solve
x – 4 = 6?              b – 8 = 6?         14, 18, 22, 26, …
Find the solution.     Find the solution.

4.                      5. The frequency table
shows the number of
movies rented by
2 3              customers at a video
              store one evening.
3 4
Number    Frequency
1          15
2          21
3           9
4           4

How many customers
rented more than one
movie?

Solve one- and two-step equations                     August 2007
Prealgebra Daily Warm-Ups
Week 7 Wednesday

1. What do you do         2. What do you do            3. Does
to both sides of the       to both sides of the
equation to solve          equation to solve               9+(3+4) = (9+3)+4?
6x=42?                    4m=24?                 Explain.
Find the solution.        Find the solution.

4. How does                5. Find the range of
1                1
 64 compare to ?
the distances run by
8                8         seven runners:

1         10 km, 14 km,
A.   less than
8         13 km, 12 km,
1     7 km, 16 km,
B.   greater than
8     9 km
1
C.   equal to
8

Week 7 Thursday

1. What do you do         2. What do you do            3. Write the rule for
to both sides of the       to both sides of the          the nth term:
equation to solve          equation to solve
x  7 = 4?                   b                     -6, -2, 2, 6, …
= 5?
Find the solution.                 3
Find the solution.

4. Tyler has two           5. How does
1
 64
times as many stamps                          8
in his collection as his                  1
compare to       ?
friend Matt has. If M                     8
is the amount of
stamps Matt has, what                      1
A. less than
is the equation that                       8
represents the                                  1
B. greater than
amount of money that                            8
Tyler has?                                1
C. equal to
8

Solve one- and two-step equations                             August 2007
Prealgebra Daily Warm-Ups
Week 8 Monday

1. Identify all real     2. Identify all real      3. Solve
number categories to      number categories to
which 10 belongs          which 11 belongs                  m
(natural number,          (natural number,                     = 10
3
whole number,             whole number,
integer, rational         integer, rational
number).                  number).

4. Write the rule for     5. What is the
the nth term:             missing value in the
data set {20, 30, ?, 50}
2.2, 3.4, 4.6, 5.8, …     if the mean is 50?

Week 8 Tuesday

1. Identify all real     2. Identify all real      3. Solve
number categories to      number categories to
which 0 belongs           which 100 belongs                m – 4 = -4
(natural number,          (natural number,
whole number,             whole number,
integer, rational         integer, rational
number).                  number).

4. What is the            5. Bridget earned the
product of
1
and a      following amounts
5            baby-sitting:
number greater than 0
but less than 1?      \$18, \$23, \$25, \$21,
\$34, \$27, \$20, \$19.
1
A.   less than     but
5        Find the median.
greater than 0
1
B.   greater than
5
C.   greater than 1
1
D. equal to
5

Real number vocabulary                                   August 2007
Prealgebra Daily Warm-Ups
Week 8 Wednesday

1. Identify all real      2. Identify all real   3. Write the rule for
number categories          number categories to    the nth term:
which –5 belongs           which –55 belongs
(natural number,           (natural number,        0, 5, 10, 15, …
whole number,              whole number,
integer, rational          integer, rational
number).                   number).

4. Evaluate                5.

x4                  0.9234 – 0.234=

when x = 2.

Week 8 Thursday

1. Identify all real      2. Identify all real   3. Solve
number categories to       number categories to
1                  which 0.5 belongs              b+7=2
which     belongs
2                  (natural number,
(natural number,           whole number,
whole number,              integer, rational
integer, rational          number).
number).

4. Does                    5. Sarah has three
times as many
5  (4+2) = 5  4+5  2?   cousins as her friend
Explain.                   Megan has. If M is
the number of cousins
Megan has, what is
the equation that
represents the
number of cousins
that Sarah has?

Real number vocabulary                                 August 2007
Prealgebra Daily Warm-Ups
Week 9 Monday

1. Determine             2. Determine             3. Identify all real
whether the triangle      whether the triangle      number categories to
is a right triangle.      is a right triangle.      which 69 belongs
(natural number,
whole number,
8cm         15 cm         6m             10m        integer, rational
number).
7 cm                      8m

4. Solve                  5. Find the range of
these race times
9+n=5              (given in seconds):

8.8s, 7.4s, 7.0s, 8.5s,
9.5s, 8.6s, 9.2s.

Week 9 Tuesday

1. The                   2. The                   3. Identify all real
measurements of           measurements of           number categories to
three sides of a          three sides of a          which 0 belongs
triangle are given.       triangle are given.       (natural number,
Determine whether         Determine whether         whole number,
the triangle is a right   the triangle is a right   integer, rational
triangle.                 triangle.                 number).

2ft, 3ft, 4ft             7in., 24in., 25in.

4. The perimeter of a     5. The mean of 30
triangle is 18. One       test scores is 77.8.
side is twice the         What is the sum of
shorter side and the      these scores?
third side is 3 times
the shorter side.
Write the equation.

Pythagorean Theorem                                     August 2007
Prealgebra Daily Warm-Ups
Week 9 Wednesday

1. Determine whether       2. Determine whether       3. Solve
the triangle is a right     the triangle is a right
triangle.                   triangle.                          12x = 36

5in.         13in.
3in.        5in.

4 in.                     12 in.

4.                          5. Twenty-five students
were asked how many
3 1            hours they do
            homework each night.
8 4            How many spend at
least two hours per
night on homework?

Number       Frequency
of hours
1             11
2              6
3              6
4              1
More than 4         1

Week 9 Thursday

1. Find the missing        2. Find the missing        3. Identify all real
measure of the right        measure of the right        number categories to
triangle.                   triangle.                   which –1 belongs
(natural number, whole
9 in.           ?           8 ft           ?            number, integer,
rational number).

40 in.                    15 ft
4. Write the rule for the   5. Does
nth term:
8 + 0 = 8?
7, 11, 15, 19, …            Explain.

Pythagorean Theorem                                         August 2007
Prealgebra Daily Warm-Ups
Week 10 Monday

1. If a CD was on         2. If a DVD was on     3. Is this a right
sale for
1
off and its   sale for
1
off the    triangle?
3                          4
original price was 24 original price, what         6in.             14in.
dollars, what is the  is the sale price of
sale price?           the \$16.00 DVD?                       8 in.
4. Identify all real       5. Evaluate
number categories
to which -
2
belongs           4m + x
3             when m=5 and x=2
(natural number,
whole number,
integer, rational
number).

Week 10 Tuesday

1. At the equator,        2. The diameter of     3. Are these the
the Earth has a            a parachute is 10       measurements of a
diameter of                feet. What is the       right triangle?
approximately              distance around the
3,960 miles. What is       rim of the              12ft, 35ft, 37ft
the circumference of       parachute? Use 3.14
the Earth at the           for .
equator? Use 3.14
for .

4. Does                    5. Find the median
of the following data
1  18 = 18           set:
Explain.
21, 34, 26, 39, 27,
27, 22, 23, 35, 33,
36

Problem Solving with rational numbers and pi             August 2007
Prealgebra Daily Warm-Ups
Week 10 Wednesday

1. You have a large      2. You want to make     3. Identify all real
sheet of paper that is    bookmarks from a 13      number categories to
1                    by 6 inch sheet of       which 0.215 belongs
21     inches by 36       paper. If the            (natural number,
2
bookmark is to be 6      whole number,
inches for covering
3    integer, rational
your books. If your       inches long and 2        number).
book covers need to                           8
1   inches wide, what is
be 8 inches by 9          the largest number of
2
inches, what is the       bookmarks you can
maximum number of         cut out?
covers you can cut
out of the sheet of
paper?
4. What is the        5.
product of 12 and a
number greater than 0           34 – 1.5 =
but less than 1?

A. less than 12 but
greater than 0
B. greater than 12
C. equal to 12
D. less than 0

Week 10 Thursday

1. A dinner plate        2. The wheel of a       3. Find the missing
has a diameter of 10      toy truck has a radius   measure of this right
inches. What is the       of 2 cm. What is the     triangle.
area of the plate? Use    area of the wheel?
3.14 for                 Use 3.14 for            20 in.            ?

48 in.

4. Solve                  5. Write the rule for
the nth term:
-6 = b  -2
9, 12, 15, 18, …

Problem Solving with rational numbers and pi           August 2007
Prealgebra Daily Warm-Ups
Week 11 Monday

1. Find the missing                2. Find the missing          3. Ray is painting a
angle measurement:                  angle measurement:            perfect circle on his
bedroom wall. If its
55o                     area is about 20
60o
square inches, what is
the diameter of his
x
x            6
30 o
x
90o      x
circle to the nearest
tenth? Use 3.14 for 
0
4. Is this a right                  5
triangle?
2  1
3      + =
5  5
12 in.                     20 in.
x
16 in.

Week 11 Tuesday

1. Find the                        2. Find the missing          3. A silver frame is
missing angle                       angle measurement:            made for an 8  10
measurement:                                                      photo. If the silver
for the frame is 1.5
120o          120o
.                                          inches wide, what is
x       x
the perimeter of the
frame?
xx     6        x
60o                 60o

4.
0
Write the rule for               5. Employees at a
the nth term:                       retail store are paid
the hourly wages
0, 3, 8, 15, …                      listed below. What is
the range of these
hourly wages?
x
\$7.45, \$8.25, \$8.50,
\$9.50, \$7.55, \$8.25

Angle and side properties of triangles and quadrilaterals                 August 2007
Prealgebra Daily Warm-Ups
Week 11 Wednesday

1. Which are             2. Which are             3. Are these the
parallelograms:           parallelograms?           measurements of a
a.          b.            a.         b.             right triangle?
24 in., 32 in., 40 in.
__

c.           d.           c.          d.

4. The length of a        5. Evaluate
rectangle is 10 more
than its width w. Its                200
area is 45. Write the              50  10
equation.

Week 11 Thursday

1. Which are             2. Which are             3. At the local health
rectangles?               rectangles?               club, 2 of the lockers
3
a                         a.            b.          are rented at \$6.00
per month. Forty-
eight lockers are
c.                        available for rent.
b.         c.                                       How much money will
the club make on
renting lockers each
month?

4. Identify all real      5. Solve
number categories to
which 3 2 belongs                -4 = x + 5
(natural number,
whole number,
integer, rational
number).

Angle and side properties of triangles and quadrilaterals       August 2007
Prealgebra Daily Warm-Ups
Week 12 Monday
1. Refer to Graph H.      2. Refer to Graph H.           3. Which are rhombi?
Name the coordinates       Name the coordinates
of point A.                of point B.                     a.           b.

c.

4. The area of a           5. What is the quotient
circular fountain on The   of
1
and a number
Plaza is about 180              2
square feet. What is       between 0 and 1?
the distance across the
fountain? (Round your      A.    it is greater than 1
answer to the nearest                                  2
foot.) Use 3.14 for .     B.    it is less than   1
2
C.    it is greater than 0
but less than 1
D.    it is less than 0

Week 12 Tuesday

1. Refer to graph I. Is 2. Refer to Graph I.             3. Which are
(6,-2) an ordered pair on Is (-1,5) an ordered pair        rectangles?
the line?                 on the line?
a.           b.

c.

4. Solve                   5. The typing speeds of
12 secretaries are
35 = 7x         recorded below (in
words per minute).
Find the mode.

55, 44, 59, 66, 60, 57,
58, 61, 53, 58, 60, 65

Coordinate graphs and equations of lines                             August 2007
Prealgebra Daily Warm-Ups
Week 12 Wednesday

1. Refer to Graph J.    2. Refer to Graph J.      3. A water sprinkler
How many spaces          How many places            waters a circular area
going up is it from A    going to the right is it   of approximately
to B?                    from A to B?               6,400 square feet.
What is the radius of
the region to the
nearest tenth of a
foot? Use 3.14 for .

4. Does                 5.

9-7=7-9                       5     1
Explain.                       4     -1    =
6    12

Week 12 Thursday

1. Refer to Graph J.    2. Refer to Graph J.      3. Which are squares?
Find the slope of line   Find the slope of line
AB.                      CD.                        a.        b.

rise                     rise
=                        =               c.
run                      run

4. Find the missing      5. Identify all real
measure of this right    number categories to
triangle.                which –6 belongs
(natural number,
whole number,
27m            ?         integer, rational
number).

36m

Coordinate graphs and equations of lines                August 2007
Prealgebra Daily Warm-Ups
Week 13 Monday

1. Refer to Graph H.    2. Refer to Graph H.     3. Refer to Graph H.
Name the coordinates     Name the coordinates      Which point is at
of point F.              of point D.               (9, -3)?

4. Which are squares? 5. Two numbers have
a sum of 80. One
a.          b.        number is 2 more
than five times the
other. Write the
equation.
c.

x           x

Week 13 Tuesday

1. Refer to Graph J.    2. Refer to Graph J.     3. Refer to Graph J.
Is (-1,5) an ordered     Is (4,-3) an ordered      Name an ordered pair
pair on line AB?         pair on line CD?          that is on line AB.

4. Identify all real     5. Find the median
number categories to     for the following data
which
3
belongs       set:
5
(natural number,         10.1, 10.2, 10.2, 10.3,
whole number,            10.4, 10.5, 10.6, 10.7,
integer, rational        10.8, 10.9, 11.0
number).

Coordinate graphs and equations of lines               August 2007
Prealgebra Daily Warm-Ups
Week 13 Wednesday

1. Refer to Graph L.    2. Refer to Graph L.      3. Which are
How many spaces          How many spaces            trapezoids?
going up is it from C    going to the right is it
to D?                    from C to D?               a.          b.

c.

4. Write the rule for    5. What is the
the nth term:            quotient of 44 and a
number between 0
-1, 0, 3, 8, 15, …       and 1?

A. it is greater than
44
B. it is less than 44
C. it is less than 1
but greater than 0
D. it is equal to 44

Week 13 Thursday

1. Refer to Graph L.    2. Refer to Graph L.      3. Refer to Graph L.
Find the slope of line   Find the slope of line     Is (5,0) an ordered
AB.                      CD.                        pair on line CD?

4. The circular floor    5. Is this a right
of the Pantheon in       triangle?
Italy has an area of
meters. What is the      8 yds         23 yds
diameter of the floor
to the nearest meter?
Use 3.14 for .                  15 yds

Coordinate graphs and equations of lines                August 2007
Prealgebra Daily Warm-Ups
Week 14 Monday

1. A sound studio         2. At a fair, Kay buys   3. Refer to Graph H.
charges a \$52              game tickets for \$0.50    Name the coordinates
reservation fee and \$26    each. She spends          of point E.
per hour. Felipe paid a    \$12.50 for food and \$17
total of \$130 to use the   in all. Which equation
sound studio. Which        can you use to model
equation can be used to    this situation?
find the total number of
hours (h) that Felipe      A.   0.50n + 12.50 = 17
used the studio?           B.   50n + 12.50 = 17
C.   12.50n + 50 = 17
A.   26 + 52h = 130        D.   n + 12.50 = 17
B.   52 + 26h = 130
C.   52(26 + h) = 130
D.   26(h + 52) = 130

4. Refer to Graph H.       5. Does
Which point is located
at (-4,1)?                      4  8 = 8  4?
Explain.

Week 14 Tuesday

1. Which equation can 2. Which equation            3. Refer to Graph I.
be used to find the      can be used to find         Name an ordered pair
perimeter of a garden    the perimeter of a 10-      on the line in the
that is 12 feet wide and foot by 11-foot room?       graph.
8.5 feet long where
P=2l + 2w?                A.   2(10  11) = P
B.   10  11 = P
A.   P   =   12 + 8.5
B.   P   =   12  8.5      C.   2(10 + 11) = P
C.   P   =   2(12  8.5)   D.   10 + 11 = P
D.   P   =   2(12 + 8.5)

4. Are these the           5. Evaluate
measurements of a
right triangle?                      7  19
3
20 mi, 21 mi, 29 mi.

Linear Relationships                                     August 2007
Prealgebra Daily Warm-Ups
Week 14 Wednesday
1. Given a length in       2. Given a number of       3. Refer to Graph I.
inches (i), multiply the    hours (h), multiply by      Find the slope of the
given value by 2.54 to      60 to find the number       line.
find the length in          of minutes (m). Which
centimeters (c). Which      equation models this
equation models this        situation?
situation?
A.   m = 60 + h
A.        c = 2.54i         B.   h = 60 + m
B.        i = 2.54c         C.   h = 60m
C.        c = 2.54 + i      D.   m = 60h
D.        i = 2.54 + c

4. Solve                    5. Ken has \$8.45 more
than 1 the amount
2x + 4 = 36          2
Brandon has. If K =
Ken’s money and B =
Brandon’s, write the
equation.

Week 14 Thursday

1. A bus leaves a          2. Posters cost p          3. Refer to Graph L.
station that is 357 miles   dollars and each and        Name a point on line
from Chicago and            CDs cost c dollars each.    AB.
travels toward Chicago      Eric bought 2 CDs and 1
at a rate of 50 miles per   poster and his brother
hour. Write an              bought 1 CD and 3
expression to represent     posters. Write an
the distance of the bus     expression to represent
from Chicago after n        the total cost of the
hours.                      items.

4. Which are                5. An air traffic control
trapezoids?                 screen has a circular
area of 24 square
a.                b.       inches. What is the
radius of the screen?
Use 3.14 for . Round
to the nearest tenth.
c.

Linear Relationships                                         August 2007
Prealgebra Daily Warm-Ups
Week 15 Monday

1. The letters of the     2. The letters of the   3. The owner of a
word “Mathematics” are     word ‘Prealgebra” are    clothing store is
placed in a bag. What is   placed in a bag. What is shipping an order of
the probability that a T   the probability that a   shirts and pants to a
will be picked from the    vowel will be picked     customer. The shirts
bag?                       from the bag?            weigh x ounces each
and the pants weigh
x + 7 ounces each.
Which expression
represents the total
weight of the shipment
if it contains 4 shirts
and 2 pairs of pants?

A.   6x + 7
B.   6x + 14
C.   13x
D.   13x + 7

4. Refer to Graph H.       5. Write the rule for the
Name the coordinates       nth term:
of point F.
2, 5, 10, 17, …

Week 15 Tuesday

1. A die is rolled.       2. A die is rolled.        3. Apples cost \$0.88
Find the probability       Find the probability        per pound. Is
that it is an even         that it is a number               c = p + 0.88
number.                    greater than 4.             an accurate model for
the total cost c of p
pounds of apples?
4. Doug Bower made         5.
a crop circle in a
cornfield that covered             3 
1
=
an area of 300 square                    4
feet. What is the
radius of his circle?
Use 3.14 for .

Probability                                                 August 2007
Prealgebra Daily Warm-Ups
Week 15 Wednesday

1. Find the number      2. Find the number          3. Refer to Graph I.
of outcomes for two      of outcomes for three        Is (6,-3) an ordered
coins that are tossed.   coins that are tossed.       pair on the line?

4. Identify all real     5. Does
number categories to
which –1.7 belongs       9  (3  5) = (9  3)  5?
(natural number,         Explain.
whole number,
integer, rational
number).

Week 15 Thursday

1. What is the          2. What is the              3. Jessica spent a total
probability of 2 heads   probability of a head        of \$20 on grape juice
when tossing a nickel    and a tail (in either        and apple juice for the
and a dime?              order) when tossing a        school picnic. If x
nickel and a dime?           represents the amount
spent on grape juice,
which equation can be
used to find the amount
(y) she spent on apple
juice?

A.   y = -x + 20
B.   y = x + 20
C.   y = 20x
1
D.   y=      x
20

4. Refer to Graph J.     5. Find the measure
Name the coordinates     of x.
of point D.
x - 10

x        x+1

Probability                                                August 2007
Prealgebra Daily Warm-Ups
Week 16 Monday

1. What is 30% of         2. Find 16% of 200.      3. A coin is tossed 5
30?                                                  times. What is the
probability of getting

4. Jim works at a          5. Solve
computer store. He is
paid a salary of \$350             4x + 7 = 43
per week, plus \$15 for
each computer system
he sells. Write a
function rule (equation)
to show the total
amount Jim is paid (p)
in a week when he sells
c computer systems.

Week 16 Tuesday

1. Linda purchases        2. Joel bought a new     3. What is the
a computer for             backpack of \$35.00.       probability that your
\$450.00. The sales         The sales tax was 5%      locker combination is
tax was 8% of the          of the purchase price.    14-20-24 if there are
purchase price. How        How much sales tax        40 numbers on the
much sales tax did         did Joel pay for the      lock dial?
Linda pay for the          backpack?
computer?

4. Find the value of x. 5. How does       3    1
4     2
compare to    3?
x -70                      4

A.    <3
4
B.    = 3
4
x              C.    > 3
4
D. cannot be
determined

Percents                                                 August 2007
Prealgebra Daily Warm-Ups
Week 16 Wednesday

1. Johnny bought a        2. Mercedes             3. Jorge took his
shirt on sale at a         purchased a dress at a   computer to the
discount of 25             30% discount. The        repair shop. He was
percent. It had a          original cost of the     charged \$55 to
regular price of           dress was \$125.00.       diagnose the problem
\$80.00. What was the       What was the amount      plus \$15 per hour to
amount of the              of the discount?         repair it. If his bill
discount?                                           was \$100, does
100 = 55 + 15h
accurately represent
the situation?

4. Find the missing        5. Write the rule for
measure of this right      the nth term:
triangle.
3, 6, 11, 18, …

10 ft               ?

24 ft

Week 16 Thursday

1. Cameron                2. A skateboard that    3. What is the
purchased a new            regularly sells for      probability that you
binder with a price        \$200 is on sale for      get a 6 when you roll
tag of \$30, but it is on   25% off its regular      a die?
sale for 20% off its       price. What is the
regular price. What is     sale price of the
the sale price of the      skateboard?
binder?

4. Refer to Graph M.       5. Refer to Graph M.
What is the slope of       Is (-4, 4) a point on
line AB?                   line AB?

Percents                                                August 2007
Prealgebra Daily Warm-Ups
Week 17 Monday

1. Solve the          2. Solve the              3. 80% of 75 is what
proportion.            proportion.                number?

6   d                   3   y
=                       =
8 12                    9 21`
4. Given a bag of 5    5. Identify all real
red marbles, 3 green   number categories to
marbles and 2 blue     which 152 belongs
marbles, what is the   (natural number,
probability of         whole number,
selecting a green      integer, rational
marble?                number).

Week 17 Tuesday

1. Solve the           2. Solve the               3. What is 100% of
proportion.            proportion.                16.8?

1   3                  3   4
=                      =
c   6                  h   6

4. Refer to Graph M.   5. Jordan has four
Give the coordinates   times as many stamps
of point B.            in his collection as his
friend Sally has. If S
is the number of
stamps Sally has,
what is the equation
that represents the
number of stamps
that Jordan has?

Proportions                                           August 2007
Prealgebra Daily Warm-Ups
Week 17 Wednesday

1. Solve the             2. Solve the            3. What is the
proportion.               proportion.              probability of the
spinner stopping at 2?
2   6                    5       10
=                          =
7   m                   16        k                  6   1
5           2
4   3

4. The area of a          5. Solve
sundial is 33.18
inches squared. Use            3m – 8 = 16
3.14 for . What is the
length of the rotating
dial (hint: radius) to
the nearest inch?

Week 17 Thursday

1. Solve the             2. Solve the            3. Find 16.8% of 100.
proportion.               proportion.

n     22                 p      5
=                        =
4     8                 7 .2   12

4. A technician         5. Refer to Graph M.
charges a \$50           Name an ordered pair
estimation fee and      that is on line AB.
\$25 per hour to repair
washing machines.
Write an equation for
the total cost of the
technician’s service,
c, if he works h hours.

Proportions                                            August 2007
Prealgebra Daily Warm-Ups
Week 18 Monday

1. Sarah made a           2. Josh made a scale 3. Solve the
scale drawing of her       drawing of his        proportion.
mother’s garden. One       father’s workshop.
inch on her drawing        One inch on his              12     r
represented 10 feet.       drawing represented 3            =
The garden was 100         feet. The workshop            4    12
feet long and 30 feet      was 21 feet long and
wide. How long and         15 feet wide. How
wide did Sarah make        long and wide did
her drawing?               Josh make his
drawing?

4. 70% of 80 is what       5. Is this a right
number?                    triangle?

16 in.
12 in.

14 in.

Week 18 Tuesday

1. Find the missing       2. Find the missing       3. What is 5% of 80?
length:                    length:

10 ft                  x    3            x

8 ft                    4            2
12 ft

4. Refer to Graph M.       5. Does
Is the slope of line AB
positive or negative?      (6+5)  8 = 6  8+6  5?

Scale drawings and similar/congruent figures              August 2007
Prealgebra Daily Warm-Ups
Week 18 Wednesday

1. The scale on map is    2. The scale on a map      3. Solve the proportion.
1 inch: 60 miles. Find     is 1 inch: 60 miles.
the actual distance if     Find the actual distance            2 10
the distance on a map is   if the distance on a map             
2 inches.                  is 5.25 inches.                     k 25

4. Which are               5. Identify all real
parallelograms?            number categories to
which -23 belongs
a.               b.       (natural number, whole
number, integer,
rational number).

c.

Week 18 Thursday
1. Mary is 5 feet tall    2. Colleen is 6 feet       3. Solve the proportion.
and casts a shadow of 8    tall and casts a shadow
feet. Beside her is a      of 9 feet. Beside him is            3       12
flagpole casting a 48-     a fence post that is 3                  =
foot shadow. How tall      feet tall. How long                 n       76
is the flagpole?           would the post’s
4. What is the             5. Anna and Sarah are
probability of the         collecting wildflowers.
spinner stopping at 3      So far, Sarah has
the first time, then 1     collected 14 flowers,
the second time?           which is three less than
Anna. Which equation
can be solved to find the
8   1            number of wild flowers
(n) that Anna has
7           2
collected?
6           3
4            A.   n – 3 = 14
5
B.   n + 3 = 14
C.   3n = 14
n
D.     = 14
3

Scale drawings and similar/congruent figures               August 2007
Prealgebra Daily Warm-Ups
Week 19 Monday
1. Refer to Graph S.         2. Refer to Graph S.      3. Amber is 4 1 feet tall
This data represents          How many players                           2
how many players?             scored at least 20         and casts a shadow of 7
points?                    feet. Beside her is a
flagpole casting a 35-
foot shadow. How tall
is the flagpole?

4. Solve the proportion. 5. A scientific
centrifuge is used to
4      r         separate substances.
=             The centrifuge makes a
9     27         complete circle while it
spins. If it covers an
area of about 10 square
inches, what is the
diameter across the
centrifuge? Use 3.14 for
.

Week 19 Tuesday
1. Refer to Graph T.         2. Refer to Graph T.      3. Find the missing
How many students             How many students          length:
preferred strawberry if       preferred vanilla if 150
150 students were             students were                       13.5
surveyed?                     surveyed?                  6         cm
cm
x              15.75cm

4. A basketball team          5. Write the rule for
ordered 12 jerseys. The       the nth term:
total cost of the order was
\$99, which included a \$3
shipping charge. Which        3, 5, 7, 9, …
equation can be used to
find p, the price of each
jersey?

A.   3   + 12 = 99
p
B.   3p + 12 = 100
12
C.      + 3 = 99
p
D. 12p + 3 = 99
Stem & Leaf Plots, box & Whisker Plots, Circle Graphs, Scatterplots
August 2007
Prealgebra Daily Warm-Ups
Week 19 Wednesday

1. Refer to Graph       2. Refer to Graph       3. Solve the
U. What is the           U. What are the          proportion.
median score?            upper and lower
quartile scores?                 2 4

h 26

4. Refer to Graph H. 5. Are these the
Name the             measurements of a
coordinates of point right triangle?
G.
8 in., 15 in., 17 in.

Week 19 Thursday

1. Refer to Graph       2. Refer to Graph       3. The scale on a
V. If a student          V. If student studies    map is 1 inch:100
studies for 30           60 minutes,              miles. Find the
minutes,                 approximately what       actual distance if
approximately what       grade does she earn      the distance on a
grade does he earn       on the test?             map is 3 3 inches.
on the test?                                                4

4. Is 50% of a           5. My sock drawer
number larger or         has 8 pairs of white
smaller than the         socks, 2 pairs of
number?                  black socks, and 3
pairs of navy socks.
What is the
probability of
selecting a pair of
navy socks?

Stem & Leaf Plots, box & Whisker Plots, Circle Graphs, Scatterplots
August 2007
Prealgebra Daily Warm-Ups
Week 20 Monday

1. Refer to Graph W.    2. Refer to Graph W. 3. The sections of a
Which magazine           Which magazine         circle graph must add
appears to have about    appears to have about up to __________.
twice the circulation    three times the
of ABC Today?            circulation of America
Today?

4. Mike made a scale     5. Which are
drawing of his           rectangles?
bedroom. One inch on
his drawing represented
3 feet. The drawing     a.              b.
was 3 1 inches by
2
2 3 inches. How big is
4
his bedroom?                 c.

Week 20 Tuesday

1. Refer to Graph X.    2. Refer to Graph X.    3. Sam wants to show
Explain why the          Explain how to redraw    how the number of
intervals on the         the graph to make        students at his school
horizontal axis could    sure it is not           has changed over time.
make the graph           misleading.              Which type of display
would be most
appropriate?

A.   Circle Graph
B.   Line Graph
C.   Box and Whisker
Plot
D.   Stem and Leaf Plot
4. What is the        5. Solve
probability of a
spinner with the           5m – 12 = 18
spaces numbered 1
through 6 stopping on
2 and a die showing
2?

Misleading Data and Graphs                             August 2007
Prealgebra Daily Warm-Ups
Week 20 Wednesday

1. Refer to Graph Y.    2. Refer to Graph Y.    3. Chris is 5 feet tall
What makes the graph     How could you redraw     and casts a shadow 10
misleading?              the graph to make it     feet tall. Beside him
less misleading?         is a pole that is 4 feet
tall. How long would
the pole’s shadow be?

4. Refer to Graph N.     5. Betsy is making 3
Find the slope of line   batches of cookies.
AB.                      For each batch she
needs 1 3 cups of
4
flour. How much
flour does she need
all together?

Week 20 Thursday

1. Refer to Graph Z.    2. Refer to Graph Z.    3. Refer to Graph Z.
How much does it         How much did sales       Complete the
appear that sales        actually increase from   percents of the total
increased from 1996      1996 to 1999?            sales that would be
to 1999?                                          needed to make a
circle graph of the
data.

1996:____%, 1997:____%
1998:____%, 1999:____%

4. Solve the             5. Bobby gets a 20%
proportion.              discount on items he
buys from the store
25   5           where he works. How
=             much does Bobby pay
a    3
for a \$45 item?

Misleading Data and Graphs                            August 2007
Prealgebra Daily Warm-Ups
Week 21 Monday

1. A wheel has a          2. A CD has a           3. Refer to Graph S.
radius of six inches.      diameter of five         What was the fewest
What is the                inches. What is the      number of points
circumference? (Use        circumference? (Use      scored?
3.14 for .) What is       3.14 for .) What is
the area?                  the area?

4. Explain why an          5. Refer to Graph N.
advertiser might want      Name the ordered
to use a misleading        pairs of two points on
graph?                     line AB.

Week 21 Tuesday

1. A square has an   2. The area of a             3. Refer to Graph W.
area of 121 cm . What square is 9 inches.
2
Which magazine has
is the perimeter?     What is the                   twice the circulation
perimeter?                    of ABC Today?

4. If sales tax is 6.8%,   5. Identify all real
how much tax will          number categories to
Renee pay for a \$78        which  7 belongs
pair of shoes?                    10
(natural number,
whole number,
integer, rational
number).

Perimeter/Circumference and Area                        August 2007
Prealgebra Daily Warm-Ups
Week 21 Wednesday

1. A triangle has an         2. A triangle has an    3. Refer to Graph U.
area of 12 square             area of 30 cm2. If the   50% of the scores
inches. If the base is        height is six cm, what   were between _____
6 inches, what is the         is the base?             and _____.
height?

4. Lou scored 18 points 5. Evaluate
in the first basketball
game of the season and                2a + 3b
p points in the second
game. He scored a total       when a=2 and b=-3.
of 32 points in the two
games. Write an
equation to determine
how many points Lou
scored in the second
game.

Week 21 Thursday
1. Students are              2. Find the area of     3. Refer to Graph Z.
building fronts of            the following shape.     Why is the graph
houses for a school                                    misleading?
play. The front of a
house is a rectangle 6                           2
feet high and 8 feet                         3
wide. Above the                         2
rectangle is a triangle
3
that is 3 feet high.
What is the area of the
house?

4. Find the missing           5. Solve the
length:                       proportion.

44 24
x                    30 in.             
77 n
9 in.
12 in.

Perimeter/Circumference and Area                           August 2007
Prealgebra Daily Warm-Ups
Week 22 Monday

1.Find the volume:     2. Find the volume:       3. Find the area and
perimeter:
5
m
2m                               8
3 yd
3
m
8

4. Refer to Graph Y.    5. Refer to Graph N.
If you were the owner   Is the slope of line AB
of this company,        positive or negative?
would this graph
make you happy or
concerned?

Week 22 Tuesday

1. Find the surface    2. Find the surface       3. Find the area and
area:                   area:                      perimeter:

8m
2m                      5in.
4in.             6m
3m
5m                      7in.                        10m

4. Solve the           5. Find the missing
proportion:             measure of the right
triangle.
15 n

18 12           6in.            ?

8in.

Surface Area and Volume                                 August 2007
Prealgebra Daily Warm-Ups
Week 22 Wednesday

1. A cereal box is 11   2. A package is in a   3. Refer to Graph W.
inches tall, 9 inches    15 cm by 10 cm by 4     How would you
wide, and 2 inches       cm box. How much        redraw this graph so
deep. What is the        wrapping paper would    it is not misleading?
surface area of the      be required to cover
box?                     the box?

4. If the probability    5.
for rain in April is
30%, how many days                6
in April would you                  14 
predict rain? (Hint:              7
there are 30 days in
April.)

Week 22 Thursday

1. Find the surface     2. Find the surface    3. A gardener is
area:                    area:                   putting fencing
around the triangular
and rectangular
3 ft               flowerbeds shown.
2m                                              How many total feet
of fencing will be
needed?

5ft      13ft          7ft

12ft      14ft

4. Refer to Graph V.     5. The scale on a map
What study time and      is 1 inch:50 miles.
test score does point    Find the actual
A represent?             distance if the
distance on the map
is 5 1 inches.
4

Surface Area and Volume                                August 2007
Prealgebra Daily Warm-Ups
Week 23 Monday

1. Give an example     2. Give an example       3. Find the surface
of the commutative      of the commutative        area:
property of addition.   property of
multiplication.
15cm

3cm
4cm
4. Find the             5. A coach spent
circumference (use      \$975.80 on new
3.14 for ).            uniforms for his team.
He bought 16
uniforms for c dollars
2.4cm     each. Does
16
975.80 =
c
accurately represent
the situation?

Week 23 Tuesday

1. Give an example     2. Give an example       3. Find the volume:
of the distributive     of the distributive                10m
property over           property over
5m
2m

4. Mindy made a         5. It is reported that
scale drawing of her    on January 22, 1943,
room. One inch on       in Spearfish, SD, the
her drawing             temperature rose
represented 10 feet.    from –4oF to 45oF in
The room was 15 feet    two minutes. What
by 12 feet. What were   was the rise in
the dimensions of the   temperature?
drawing?

Properties                                             August 2007
Prealgebra Daily Warm-Ups
Week 23 Wednesday

1. Give an example        2. Give an example     3. Pizza Town is
of the identity            of the identity         running a special.
property of                property of addition.   Two medium pizzas
multiplication.                                    (12 inch diameter) or
one large (20 inch
diameter) for the
same price. Which is
the better buy? (Hint:
circumference or
area?)

4. If sales tax is 6.8%,   5. How does   3    1
what does Jose pay,                      4     2
including tax, for a       compare to   3?
4
\$15.99 CD?
A.   <3
4
B.   =3
4
C.   >3
4
D. cannot be
determined

Week 23 Thursday

1. Give an example        2. Give an example     3. Find the surface
of the inverse             of the inverse          area of a book that is
property of addition.      property of             10 inches by 7 inches
multiplication.         by 1 inch.

4. Refer to Graph W.       5. True or false:
If this graph were         A box and whisker
made with vertical         plot is based on a
bars instead of            number line.
horizontal, would it
be more or less

Properties                                             August 2007
Prealgebra Daily Warm-Ups
Week 24 Monday

1. What number is         2. Find 6.7% of         3. Give an example of
1.5% of 15?                1500.                    the commutative
property of
multiplication.

4. Find the volume:        5. If the probability
of going on to college
20 ft          is 70 , how many
100
students from a
3 ft
school of 1000 would
1 ft   go to college?

Week 24 Tuesday

1. Find 125% of 125. 2. What is 176% of           3. Give an example of
47?                           the identity property

4. Refer to Graph T.  5. Which are rhombi?
50% of the students
surveyed prefer which
two flavors?          a.        b.

c.

Percents                                                August 2007
Prealgebra Daily Warm-Ups
Week 24 Wednesday

1. What is               2. Find                 3. Does surface area
tell you how much of
1                         1                 something it would
4 % of 100?              17 % of 10.         take to cover the
2                         4
shape or to fill it up?

4. Solve the              5. Jessica has twice
proportion.               as many cousins as
her friend Adam has.
6 12              If A is the number of
                cousins Adam has,
4 x               what is the equation
that represents the
number of cousins
that Jessica has?

Week 24 Thursday

1. Your bill at a        2. Irina’s bill at a    3. Give an example of
restaurant is \$9.42. If   restaurant is \$12.74.    the substitution
you pay 7.1% sales        If she pays 6.9% sales   property.
tax, then tip the         tax and tips her
waiter 20%, how much      waitress 15%, how
do you spend in all?      much does she spend
total for the meal?

4. What is the area of    5. Which two types of
the complete region       graphs are easiest to
inside this track? Use    make misleading?
3.14 for .               Why?

60 m

105.8 m

Percents                                               August 2007
Prealgebra Daily Warm-Ups
Week 25 Monday

1.How does             2. How does             3. How much does
1                 1   1           1       Sydney save on a \$75
15      compare to           compare to ?
5                 5   4           5       dress if it is on sale
15?                                              for 20% off?
1
A.   <
A.    <15                      5
B.    =15                      1
B.   =
C.    >15                      5
D.    cannot be                1
C.   >
determined               5
D. cannot be
determined

4. Give an example of   5. What is 120% of
the distributive        200?
property over
subtraction.

Week 25 Tuesday

1. How does            2. How does             3. What is the total
1                 1   1           1       cost for a round of
15      compare to           compare to ?
5                 2   4           2       golf if it costs \$33
15?                                              plus 6.75% tax?
1
A.   <
A.      <15                    2
B.      =15                    1
B.   =
C.      >15                    2
D.      cannot be              1
C.   >
determined               2
D. cannot be
determined

4. Refer to Graph Z.    5. Refer to Graph N.
Would this graph        Find the slope of line
make you want to buy    CD.
XYZ stock?

Multiply and divide by 0<x<1 or x>1                  August 2007
Prealgebra Daily Warm-Ups
Week 25 Wednesday

1. How does 1  15              2. How does 2  10         3. Does
3                             3
compare to 1 ?                   compare to 2 ?               25  5 = 5  25
3                                  3
A. < 1                           A.   <2
3                                 3                     Explain.
B. = 1                           B.   =2
3                                 3
1                           C.   >2
C. >                                      3
3
D.   cannot be
D.     cannot be
determined
determined
4. Tyler is 5 feet tall          5. Give an example of
and casts a shadow of 8          the inverse property of
feet. Beside him is a            multiplication.
building casting a 108-
foot shadow. How tall
is the building?

Week 25 Thursday

1. How does 1  15              2. How does
1
 25   3. 60% of 52.8 is what
3                             5        number?
compare to 1 ?                   compare to
1
?
3
5
A.     <1                               1
3                       A.   <
1                              5
B.     =                                1
3                       B.   =
1                              5
C.     >                                1
3                       C.   >
D.     cannot be                        5
determined                D.   cannot be
determined
4. Find the volume:              5. Each side of a square
is 5 inches long. The
diameter of a circle is 5
2 ft                        inches long. Which is
longer – the perimeter
1 ft   of the square or the
3.5 ft              circumference of the
circle?

Multiply and divide by 0<x<1 or x>1                              August 2007
Prealgebra Daily Warm-Ups
Week 26 Monday

1. Translate into an        2. Translate into an                       1
3. How does 15 
algebraic expression:        algebraic expression:                       3
compare to 15?
5 times the sum of a         9 times the difference
number and 8                 of a number and 2

4. Find 50% of 18.8.         5. Solve the
proportion.

n 14

27 63

Week 26 Tuesday

1. Translate into an        2. Translate into an    3. What is true about
algebraic expression:        algebraic expression:    the product of 0.25
and a number
9 centimeters less           5 years older than       between zero and
than three-fourths of        twice age a.             one?
length w.

4. Find the area and         5. Refer to Graph N.
perimeter.                   Is (-4,0) a point on
13 in.           line CD?
6 in.       7 in.

Write expressions and equations                           August 2007
Prealgebra Daily Warm-Ups
Week 26 Wednesday

1. Translate into an    2. Translate into an                4
3. 50% of     is what
equation (do not         equation (do not                     5
solve):                  solve):                  number?
The \$60 that Emil put    The visitor attendance
into his savings         at the zoo on Tuesday
account was \$5 more      was 1,065, which was
than one-fourth of his   47 less than half of
weekly salary. Use w     the attendance on
for his weekly salary.   Sunday. Use s for
Sunday’s attendance.

4. Refer to Graph U. If 5. Write the rule for
32 points were          the nth term:
needed to get an A on
the quiz, what percent 4, 6, 8, 10, …
of students earned an
A?

Week 26 Thursday

1. Translate into an    2. Translate into an    3. What is true about
equation (do not         equation (do not         the quotient of 40 and
solve):                  solve):                  1
?
2
The 104 tickets sold     If Lupe triples her
for Friday’s movie are   daughter’s age and
8 more than twice the    adds 10, the total is
number sold for          her own age, which is
Thursday’s movie.        28. Use a for the
Use t for tickets sold   daughter’s age.
on Thursday.

4. Give an example of    5. Find the surface
the associative          area of a box that is
property of addition.    12 inches on each
side.

Write expressions and equations                        August 2007
Prealgebra Daily Warm-Ups
Week 27 Monday

1. D.J. made a scale      2. D.J. made a              3. Translate into an
drawing of his             drawing of the gym           expression:
school’s football field.   using the same scale
One inch on his            as in problem #1. His        6 times the sum of a
drawing represented        drawing was 3.5              number and 8.
30 feet. The drawing       inches by 1.5 inches.
was 12 inches by 2         How big is the gym?
inches. How big was
the football field?

4. What is true about      5. Find the missing
the product of 22 and      length.
a number between
zero and one?                         x
30 ft

100 ft         50 ft

Week 27 Tuesday

1. Find x in the          2. Find y in the            3. Translate into an
drawing below.             drawing in problem           equation (do not
x                   #1.                          solve):
3
4                                                The \$265 that Omar
18                                      has saved is \$37 more
9                                                 than one-fourth of the
y                                           amount he needs.
Use m for the money
he needs.

4. Find the volume of      5. Annie worked 3
a cube that is 9 cm on     more than 5 times the
each side.                 number of hours that
Sam worked. Does
5x + 3x accurately
represent this situation
if x is the number of
hours Sam worked?

Similar/congruent figures                                   August 2007
Prealgebra Daily Warm-Ups
Week 27 Wednesday

1. The scale on a        2. Using the map in      3. What is true about
map is 1 inch:40          problem #1, Abe saw       the quotient of
1
and
miles. Find the actual    that two cities were 5                      2
distance if the           inches apart. What is     a number between 0
distance on a map is 2    the actual distance       and 1?
inches.                   between the cities?

4. Refer to Graph Y.      5. Solve
If the boxes were the
same size, what is a            19 – m = 3
different way to make

Week 27 Thursday

1. Mary is 5 feet tall   2. Sean is 6 feet tall   3. Translate into an
and casts a shadow of     and casts a shadow 8      equation (do not
6 feet. Beside her is a   feet long. Beside him     solve):
flagpole casting a 48-    is a mailbox 3 feet
foot shadow. How tall     tall. How long would      If Pam takes the
is the flagpole?          the mailbox’s shadow      number of pages she
be?                       has read of a certain
book, subtracts 16
and doubles the
difference, the total is
164 (which is the
number of pages she
has not read). Use p
for pages she has

4. Which is larger,       5. Give an example of
40% of a number or
1   the identity property
2   of multiplication.
of a number?

Similar/congruent figures                               August 2007
Prealgebra Daily Warm-Ups
Week 28 Monday

1. A company             2. If a child grows     3. Find the missing
makes the same            at a constant rate, will length.
amount more profit        the slope of the line                    x
10m
each year than the        representing his
previous year. Would      height be positive or    8m        56m
the slope of the line     negative?
representing their
profit be positive or
negative?

4. Translate into an      5. Refer to Graph V.
equation (do not          Is there a positive
solve):                   correlation between
study time and test
Mary Anne cooked 2        scores? How do you
pieces of chicken for     know?
each member of her
family, plus 8 extra
pieces, making a total
of 30 pieces. Use m
for family members.

Week 28 Tuesday

1. A new car             2. Joe is drinking a    3. The scale on a map
depreciates in a value    can of pop at a          is 1 inch:50 miles.
at a constant rate over   constant rate. If he     Find the actual
time. Would the line      were to graph the        distance if the map
representing the car’s    amount of pop left in    distance is 6 inches.
value be positive or      the can over time,
negative?                 would the line have a
positive or negative
slope?

4. Give an example of     5. In a deck of cards,
the distributive          what is the
property over             probability that the
addition.                 top card is a 10?

Linear relationships                                   August 2007
Prealgebra Daily Warm-Ups
Week 28 Wednesday

1. Give an example      2. Give an example     3. Translate into an
of a situation that      of a situation that     expression:
would have a positive    would have a positive
slope if graphed.        slope if graphed.       2 more than five-
eighths of a number.

4. A builder is          5. Identify all real
installing two           number categories to
windows. The             which 2.4 belongs
rectangular window is    (natural number,
2 feet by 3 feet. The    whole number,
triangular window is 2   integer, rational
feet wide and 1 foot     number).
high. How much total
glass will be needed?

Week 28 Thursday

1. Give an example      2. Give an example     3. Doug put together
of a situation that      of a situation that     a model airplane with
would have a negative    would have a negative   a scale 1 cm:6 ft. The
slope if graphed.        slope if graphed.       model’s wing is 5 cm
long. How long is the
wing of the actual
plane?

4. How does 30 
1    5. How much tax
6    does Sam pay for a
compare to 30?           \$20 video game if tax
is 7.2%?

Linear relationships                                 August 2007
Prealgebra Daily Warm-Ups
Week 29 Monday

1. Refer to Graph O.       2. Refer to Graph O.    3. Give the
Name the coordinates       Name the coordinates    coordinates of 3
of point A.                of point C.             points on the line
x + y = 9.

4. Bill is 6 feet tall     5. How can color be
and casts a shadow 9       used to make a graph
feet long. His son is      misleading?
standing next to him
and casts a 6-foot
shadow. How tall is
Bill’s son?

Week 29 Tuesday

1. Refer to Graph O.      2. Refer to Graph O.   3. What does it mean
Is (2,2) a point on line   is (2,-2) a point on    for a line to have a
AB?                        line CD?                slope of –2?

4. Find 50% of 9.2.        5. Find 250% of 400.

Coordinate graphs and equations of lines               August 2007
Prealgebra Daily Warm-Ups
Week 29 Wednesday

1. Refer to Graph O.     2. Refer to Graph O. 3. Find the missing
What is the slope of      What is the slope of  length:
line CD?                  line AB?                      10 mm
8 mm

x
2 mm

4. True or false.        5. Find the missing
The volume of a solid measure of this
is the number of         triangle.
cubic units that it will
5 in.
hold.                       ?

4 in.

Week 29 Thursday

1. Refer to Graph O.     2. Refer to Graph O.       3. What is the slope
Name an ordered pair      Name an ordered pair        of any horizontal
that is on line AB.       that is on line CD.         line?

4. Translate into an      5. How does
2
 30
equation (do not                            3
solve):                                    2
compare to         ?
3
3
By Thursday,     of Mr.
5                 2
A.   <
Hudson’s class had               3
turned in their book             2
B.   =
reports. Friday, 4               3
more students turned             2
C.   >
in reports, making a             3
total of 25. Use n for    D. cannot be
number of students.          determined

Coordinate graphs and equations of lines                     August 2007
Prealgebra Daily Warm-Ups
Week 30 Monday

1. Find two            2. Find two             3. The slope of a
consecutive integers    consecutive integers     horizontal line is
whose sum is 373.       whose sum is 187.        _____________.

4. Write a rule to      5. A builder is
describe the function   installing two
represented by the      windows. The
table below:            rectangular window is
3 feet wide and 4 feet
x 1 2   3 4        high. The triangular
y 5 6   7 8        window has sides 3
feet, 4 feet, and 5
feet. How much total
trim molding is
needed to outline the
windows?

Week 30 Tuesday

1. The sum of three    2. The sum of three     3. The slope of a
consecutive integers    consecutive integers     vertical line is
is 201. Find the        is –147. Find the        ________________.
numbers.                numbers.

4. How does
1

1     5. Solve the
2   4     proportion.
1
compare to     ?
2                  3   9
=
1                       8 m
A.    <
2
1
B.    =
2
1
C.    >
2
D. cannot be
determined

Problem solving with rational numbers and pi         August 2007
Prealgebra Daily Warm-Ups
Week 30 Wednesday

1. One number is        2. One number is 5      3. Give the
three times another      less than another        coordinates of three
number and their sum     number and their sum     points not on the line
is –20. Find the         is -3. Find the          3x - 4y = 12.
numbers.                 numbers.

4. Give an example of    5. A pop can is 2.5
the inverse property     inches in diameter.
of addition.             Find the
circumference of the
can. Use 3.14 for .

Week 30 Thursday

1. In an isosceles      2. Mrs. Montolvol       3. Refer to Graph H.
triangle whose           has practiced law        Name the coordinates
perimeter is 40          three years longer       of point H.
centimeters, each of     than her sister, who
the congruent sides is   has practiced y years.
5 centimeters longer     Between them they
than the third side,     have a total of 21
which is x centimeters   years in practice.
long. Find x.            Find y.

4. The scale on a map 5. Translate into an
is 1 inch:100 miles.  equation (do not
Find the actual       solve):
distance if the map
7       The Stamp Club has
distance is 5 inches. 63 members this year,
8
which is 5 less than
twice the number of
members last year.
Use m for the number
of members last year.

Problem solving with rational numbers and pi          August 2007
Prealgebra Daily Warm-Ups
Week 31 Monday

1. Solve                 2. Solve                3. The measures in
7x = 9 + 6x              6b = 1 + 5b         sides of a rectangle
are consecutive odd
integers. The
perimeter is 96
meters. What are the
dimensions of the
rectangle?

4. Refer to Graph M.      5. How much will a
Give the coordinates      crate hold that is 1
of an ordered pair        foot by 1 foot by 2
that is on line AB.       feet?

Week 31 Tuesday

1. Solve                 2. Solve                3. A 60-foot cable is
cut into two pieces so
3v = 4v - 8               4x = 5x - 6        that one piece is 18
feet shorter than the
other. The long piece
is h feet long. Find h.

4. Translate into an      5. The scale on a map
equation (do not          is 1 inch:25 miles.
solve):                   Find the actual
distance if the
Alana earned \$3 an        distance on the map
hour for painting a       is 4 inches.
fence, plus a bonus of
\$5, for a total of \$20.
Use h for the hours
she worked.

Multistep equations                                    August 2007
Prealgebra Daily Warm-Ups
Week 31 Wednesday

1. Solve:               2. Solve                3. Refer to Graph O.
Name three ordered
4(x - 2) = -3(x + 5)     2(y + 3) = -1(1 – y)   pairs that are not on
either line.

4. Jack’s bill at a     5. Which are squares?
restaurant was           a.        b.
\$12.76. If he pays
6.8% sales tax and tips
his waiter 18%, how
much does he spend          c.
in all for the meal?

Week 31 Thursday

1. Solve                2. Solve                3. The perimeter of a
rectangle is 100
8r+(9r-4)=9r+(6r+6)      6t+(4t-12)=3t+(2t+3)    meters, and its length
is 8 meters greater
than its width of w
meters. Find w.

4. Write a rule for      5. Mindy uses a 1
the function in the      inch:1 foot scale to
table:                   draw a picture of her
kitchen. The stove on
x     y                           1
the picture is 3
3    9                            4
5    15          inches wide, how wide
7    21          is the actual stove?
9    27

Multistep equations                                   August 2007
Prealgebra Daily Warm-Ups
Week 32 Monday

1. When dealing           2. When dealing           3. Solve
from a deck of cards,      from a deck of cards,
what is the                what is the                 5p + 11 – p = 6p - 1
probability that the       probability that the
first card dealt is a”10   first card dealt is a “2
of hearts” and the         of spades” and the
second is a “10 of         second is a “6 of
clubs”?                    diamonds”?

4. The area of a           5. Give an example of
triangle whose base is     the associative
9 inches is 18 square      property of
inches. Find the           multiplication.
height of the triangle.

Week 32 Tuesday

1. In a deck of           2. In a deck of           3. Solve
cards, what is the         cards, what is the
probability that the       probability that the       -3t + 2(2t +1) = 9 + 2t
top card is a spade?       top card is a King?

4. Pete is 6 feet tall     5. Give the
and casts a shadow of      coordinates of 2
10 feet. How long is       points that are not
the shadow of the 12-      solutions to
foot basketball goal       2y – x = 3.
Pete is standing next
to?

Probability                                               August 2007
Prealgebra Daily Warm-Ups
Week 32 Wednesday

1. If there are 20      2. In the lottery in     3. The Mathematics
numbered balls in the    problem 1, what is the    Club has \$2.61 in its
lottery, what is the     probability that the      treasury, which is
probability that your    winning numbers are       three times as much
3 favorite numbers       11, 17 and 19?            as the Poetry Club has
are the numbers                                    in its treasury. Find
chosen to win                                      d, the amount in the
(assume that the                                   Poetry Club treasury.
numbers are put back
after they are drawn)?

4.                     5. Refer to Graph L.
36  6           Name three points
has an answer greater that are not on either
than or less than 36?  line.

Week 32 Thursday

1. A die is rolled,     2. A die is rolled,      3. Solve
find P (prime).          find P(7).
38 – 8h = 17 - h

4. Refer to Graph N.     5. Write a rule for the
Name three ordered       function in the table.
pairs that are not on
either line.                     x    y
0    3
1    0
2   -3
3   -6

Probability                                            August 2007

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