# Homework by liaoqinmei

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```									      Homework 1A1a
Finish on worksheet 1-1,
Expressions and Formulas
p. 1 problems 3, 9, 12, 18 & 24
p. 2 problem 3
Finish on worksheet 1-2,
Properties of Real Numbers
p. 7 problems 4, 11, 14, & 20
p. 8 problems 3, 9 & 18
Find the Perimeter and
Area of the Rectangle

2x
4x +5
Find the Perimeter and
Area of the Rectangle

3x
7x -25
Vocabulary Builder
Use the textbook to find and
define the vocabulary for

Unit 1: Solving Equations and
Inequalities
Lesson A2U1L1 a:
Order of Operations
Motivation:
Order, Order, Order!
What do the words
ace, lost, bent, and below
have in common?
The letters of each word
Hint : Look at the order of
are in alphabetical order.
the letters
Order of Operations
Objective: The student will:
• use the order of operations and
properties of real numbers to
evaluate expressions;
Order of Operations
Going on a Trip
Arrange the five sentence
strips in the proper order.
Close the car door.
Unlock the car door.
Buckle the seat belt.
Drive the car.
Open the car door.
Order of Operations
Going on a Trip
This is the proper order.

Unlock the car door.
Open the car door.
Close the car door.
Buckle the seat belt.
Drive the car.
Order of Operations
Arrange the four sentence
strips in the proper order.
Do all multiplications and/or
divisions from left to right.
Exponents. Evaluate all powers.
subtractions from left to right.
Parentheses - Evaluate expressions
inside grouping symbols.
Order of Operations
This is the proper order.
Parentheses - Evaluate expressions
inside grouping symbols.
Exponents. Evaluate all powers.
Do all multiplications and/or
divisions from left to right.
subtractions from left to right.
Order of Operations
Evaluate the expression.

54  3  9  6 
The correct answer is 6, because
3
Second        First
33 = 27   (9 – 6) = 3
Our new expression is
54 / 27 * 3
Third            Fourth
54 / 27 = 2      2*3=6
Kobe and Kameron are
evaluating . Their work is shown
below. Who is correct? Use
what you know about order of
operations to explain your

3  8  5
3

20  2  2
3
3  8  5
3

20  2  2
3
Kobe                            Kameron
33   8  5     27  3   3  8  5
3
27  3
                       
20  2  2 20  8  2
3
20  2  2 20  8  2
3

24                        24
                       
12  2                  20  16
24                      24
                       
24                       4
1                      6
Work on the worksheet 1-1
Expressions & Formulas
p. 1 problems 1-15

Only after you finish the
first 10 problems, may you
put one on the board for
extra credit!!
Evaluating Expressions
Determine which keystroke
combination is correct to evaluate
the expression           b+cd
when a=1 b=4 c=2 & d=3 a+c2

4  23
1 2 2
Work on the worksheet
Expressions & Formulas
p. 1 problems 16-27
p. 2 problems 1, 2, & 4
Only after you finish the
first 10 problems, may you
put one on the board for
extra credit!!
Closer 1A1 #1

Evaluate:

60  48  2  43
Closer 1A1 #2
Evaluate the expression if
x = 3, y = 5, and z = 8.
2
x y
z
Closer 1A1 #2

Evaluate the expression if
x = 3, y = 5, and z = 8.

4 x( z  y )  6 x
Lesson A2U1L1 b:
Properties of Real Numbers
Motivation:
Write 5 different types of numbers
Properties of Real Numbers
Type of Number         Points
Whole Number            1
Negative Number          1
Zero                2
Rational Number        2
Irrational Number       5
Trancendental Number 10
Use the chart on 1-2 p. 7 to score
Properties of Real Numbers
Objective: The student will:
• classify real numbers;
• use the properties of real numbers to
evaluate expressions;
Classifications of Real Numbers
RE Real Numbers        All Rational and Irrational Numbers

IR Irrational       Numbers that cannot be expressed
Numbers          as a fraction. {all non-terminating,
non-repeating decimals.
RA Rational Numbers Numbers that can be expressed as
a fraction. {a/b when b≠0}

IN Integers            {…,-5,-4,-3,-2,-1,0,1,2,3,4,5,…}

W Whole Numbers        {0,1,2,3,4,5,…}
N   Natural Numbers    {1,2,3,4,5,…}
Rules for Sets of Real Numbers
All Natural Numbers are:
• Whole Numbers, Integers, Rational Numbers,
and Real Numbers.
All Whole Numbers are:
• Integers, Rational Numbers, and Real Numbers
All Integers are:
• Rational Numbers, and Real Numbers
All Rational Numbers are Real Numbers
All Irrational Numbers are Real Numbers
No Rational Numbers are Irrational Numbers
No Irrational Numbers are Rational Numbers
Sets of Real Numbers
Use the chart to place these numbers in the
appropriate classification.
7
Natural Numbers, Whole Numbers, Integers,
Rational Numbers, and Real Numbers
-6.3
Rational Numbers and Real Numbers
π
Irrational Numbers
Sets of Real Numbers
Use the chart to place these numbers in the
appropriate sets.
17
Irrational Numbers

2/3
Rational Numbers and Real Numbers

-3
Integers, Rational Numbers, and Real Numbers
Properties of Real Numbers
Use your skills and notes to determine
the type of number for p. 7
1-2 Study Guide and Intervention
Properties of Real Numbers
problems # 1 - 20
Properties of Real Numbers
Commutative       x+y=y+x              x*y=y*x

Associative    x+(y+z)=(x+y)+z      x*(y*z)=(x*y)*z

Identity     x+0=x=0+x            x*1=x=1*x

Inverse      x+ (-x)=0= (-x) +x   x*1=1=1*x
x   x
Distributive   x (y+z) = xy + xz    (y+z) x = yx + zx

called it’s opposite number.
A number’s multiplicative inverse is
called it’s reciprocal.
Properties of Real Numbers
Read the chart at the top of p. 8
1-2 Study Guide. Use the chart
to simplify each expression on
p. 8 1-2 Study Guide problems
# 1-18
Lesson A2U1L1 c
Solving Equations

Objective: The student will:
• solve equations using the properties
of equality
Solving Any Equation
Isolate the variable
Step 1: Combine Like Terms

Step 2: Add the Opposite Term.

Step 3: Multiply by the Reciprocal of
the Coefficient of the Variable.
Solving Equations by using
Multiplication and Division.
Isolate the variable
Step 1: Combine Like Terms

Step 2: Add the Opposite Term.

Step 3: Multiply by the Reciprocal of
the Coefficient of the Variable.
Solving Equations by Using
Multiplication and Division.
Isolate the variable
Step Multiply by the Reciprocal
Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
There are no Like Terms to Combine.
the Coefficient of the Variable.
1         1
  8x  56  
8      56 8
x
8
x7
The reciprocal of 8 is 1 / 8.
Solving Equations by Using
Multiplication and Division.
Isolate the variable
Step Multiply by the Reciprocal
Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
There are no Like Terms to Combine.
the Coefficient of the Variable.
 43        4
 4  x  21  
3      84  3
x
3
x  28
The reciprocal of 3/4 is 4 / 3.
Solving Equations by using
Isolate the variable
Step 1: Combine Like Terms

Step 2: Add the Opposite Term.

Step 3: Multiply by the Reciprocal of
the Coefficient of the Variable.
Solving Equations by Using
Isolate the variable
Step Multiply by the Reciprocal
Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
the Coefficient of the Variable.
There are no Like Terms to Combine.

x  8  11
8  8
x 3
The opposite of +8 is – 8.
Solving Equations by Using
Isolate the variable
Step Multiply by the Reciprocal
Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
the Coefficient of the Variable.
There are no Like Terms to Combine.
y  5  19
5  5
x  24
The opposite of – 5 is + 5.
Solving Equations with the
Variable on Each Side .
Isolate the variable
Step Multiply by the Reciprocal
Step 3: 2: Add the Opposite Term. of
Step 1: Combine Like Terms
the Coefficient of the Variable.
3x  9  65  5x
5 x  9  9  5 x
8x  56 
1          1
               
8       56 8
x
The opposite of 98is – 9; The
The reciprocal5x is 1 / 8.
There are no Like Terms.
opposite of –of7 5x.
x 8
Solving Equations with the
Variable on Each Side.
Isolate the variable
Step Multiply by the Reciprocal
Step 1: Combine Like Terms
Step 3: 2: Add the Opposite Term. of
the Coefficient of the Variable.
21  9x  11x 13
13  9 x  9 x  13
1           1
  8  2x  
 2 8        2
There are  x  4 13. 2.
of 13 is –
The oppositeno Like Terms.   The
opposite of of 2 – 1 /
The reciprocal 9x is is 9x.
2
Think-Pair-Share
With a partner, solve Problems # 1, 2, & 3
on page 14 of worksheet 1-3
Study Guide and Intervention
Solving Equations.
One partner will write the problem and its
solution on the board.
The other partner will explain how the
solution was found.
Work on the worksheet 1-3
Solving Equations
p. 13 problems 1-11
p. 14 problems 1-25
Only after you finish the
first 8 problems, may you
put one on the board for
extra credit!!
Solving for One Variable Using
the TI-83 Calculator
b + 9 = 17
Enter the leftthe letter graph
Enter the ZOOM 6 of view any
Substitute side to x for
Press the right sideto the a
Press      ZOOM 3 of the
the equation of the equation.
equation in Y2:
larger graph
other in Y1:
equationletter.
x + 9 = 17
Solving for One Variable Using
the TI-83 Calculator
b + 9 = 17
b = 8. Press

x + 9 = 17
x = 8.
The value of value
Therefore, the x is 8. of b
is 8.
Setting up and solving a
problem involving a
formula
letter x for the
Substitute the numbers for
the variables (letters).
unknown variable (letters).
A = lw, when A= 48 & w=8
48 = l 8
48 = x 8,
Solve for x.
Solving for One Variable Using
the TI-83 Calculator
48 = x 8
Enter thetheZOOM 6 to graph
the the left ENTER the
PressPressZOOM 3side of the
PressEnter right side of to
the
the equationY1:
view equation in
ZOOMa3larger graph of the
equation in Y2:
ENTER to
equation.
view a
larger
graph of
the
equation.
Solving for One Variable Using
the TI-83 Calculator
48 = l 8
l = 6. Press

48 = x 8
6 = x.
The value of value
Therefore, the x is 6. of l
is 6.
Check worksheet 1-3
Solving Equations
p. 13 problems 1-11
p. 14 problems 1-25
using the TI-83 Calculator.
Only after you finish the
first 8 problems, may you
put one on the board for
extra credit!!
Setting Up Word Problems

Step 1: Highlight math numbers/words
Step 2: Create a number sentence.
Step 3: Use the steps from Solving for One
Variable Using the TI-83 Calculator.

• Copy today’s notes into
Setting Up Word Problems
Step 1: Highlight math numbers/words

Randy Anderson got a raise of 73¢ per hour.
He now earns \$8.45 per hour. What was his
hourly rate before his raise ?
Step 2: Create a number sentence.

\$8.45 =    x      + .73
Step 3: Use the steps from Solving for
One Variable Using the TI-83
Calculator.
Press
8.45 = x + .73

x = \$7.72
The value of x is 7.72.
Work worksheet 1-3
Solving Equations
p. 16 problems 25-26
Check p. 16 problems 25-26
using the TI-83 Calculator.

Only after you finish the first
8 problems, may you put one
on the board for extra credit!!
Closer A2U1L1 #1
Evaluate the expression
-2b + a2c

when a=4 b= -3 & c = 1/2
Closer A2U1L1 #2
Admission to Six Flags is \$42. A chicken
box costs \$5.50. If you have only \$70 total
to spend for admission and pizza. How
many chicken boxes can you buy?
Closer A2U1L1 #3
The elements of set A consists of factors of
15. The elements of set B consists of
factors of 21. What is A U B?
a. { }
b. { 1 }
c . { 1, 3}
d . { 1, 3, 5, 7 }
e . { 3, 6, 9, 12, 15, 18, 21 }

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