# Review for Chapter 5 Test 7th grade math - Kyrene School District.ppt

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```					Review for Chapter 5 Test

Insert Lesson Title Here
5-1
A coin bank contains 16 quarters, 12 dimes,
and 8 nickels. Write the given ratio in all
three forms.
1. nickels to quarters
8 , 8 to 16, 8:16 or 1 , 1 to 2, 1:2
16                    2

2. dimes to nickels
12 , 12 to 8, 12:8 or 3 , 3 to 2, 3:2
8                    2

3. nickels and dimes to quarters
20 , 20 to 16, 20:16 or 5 , 5 to 4, 5:4
16                      4
Insert Lesson Title Here
5-2

1. Find the unit rate and write it in both
fraction and word form.
There are 220 calories in 5 crackers.

44 calories , 44 calories per cracker
1 cracker
2. Kim and Ted work out on treadmills together
at the gym. Kim walked 3.0 miles in 21
minutes, while Ted walked 4.5 miles in 42
minutes. Who walked at the faster rate?
Kim
Insert Lesson Title Here
More 5-2
Determine whether the rates are proportional
by writing them in simplest form and
comparing them.

1. 9 , 12                       2. 12 , 10
30 40                            21 15
3 , 3 ; proportional         4 , 2 ; not proportional
10 10                         7 3
Determine if the ratios are proportional
by finding a common denominator.

3. 3 , 2                        4. 3 , 9
8 5                             7 21
15 , 16 ; not proportional       9 , 9 ; proportional
40 40                           21 21
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More 5-2

5. In a local pre-school, there are 5 children for every
teacher. Write an equivalent ratio to show how
many children there would be if there were 4
teachers.
5 , 20
1 4
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5-3

Use cross products to solve the proportion.

1. 25 = 45   t = 36
20    t
x
2. = 19      x=3
9 57

3. 2 = r     r = 24
3 36
4. n = 28    n = 35
10    8
Insert Lesson Title Here
5-3

5. Carmen bought 3 pounds of bananas for \$1.08.
June paid \$ 1.80 for her purchase of bananas.
If they paid the same price per pound, how
5 pounds
Insert Lesson Title Here
5-4 Dimensional Analysis
Use a unit conversion factor to convert the units.
1. Football fields are 100 yards long. How many feet
is that? 300 feet
2. In biology lab you measure a grasshopper’s wing
span to be 3 inches long. How many centimeters is
this? 7.62 cm
Use a unit conversion factor to convert the units
within a rate.
3. On a freeway a car’s speed is 62 miles per hour.
What speed is that in feet per hour? 327,360 ft/h
4. If you are paid \$7.50 per hour to watch your
neighbor’s children, how much are you paid per
minute? 12.5 cents per minute
Insert Lesson Title Here

5-5

1. Identify the corresponding
sides in the pair of triangles,
and use ratios to determine
whether the triangles are
similar.

NO corresponds to QR;
PO corresponds to SR;
PN corresponds to SQ; similar
Insert Lesson Title Here

5-5

2. Use properties of similarity
to determine whether the
figures are similar.
not similar
Insert Lesson Title Here
5-6
Find the unknown length in each pair of
similar figures.
J
A                            144 cm             3. These two rectangular
1.        96 cm
cakes are similar in
80 cm             C           x                            shape. How long is the
56 cm                            K           larger cake?
B                         L   84 cm
10 in.
x = 120 cm
6 in.                    x
2.
9 in.
160 cm        120 cm      t

72 cm                   90 cm
x = 15 inches
t = 150 cm
Insert Lesson Title Here

5-7
Identify the scale factor.
1.                  Statue of Liberty   Model
Height (in.)        1,824           8
1
228
2. On a scale drawing, a kitchen wall is 6 inches long.
1
The scale factor is    . What is the length of the
24
actual wall?
144 inches, or 12 feet
Insert Lesson Title Here

5-7

3. On a road map, the distance from Green Bay to
Chicago is 11 cm. What is the actual distance
between the cities if the map scale is 3 cm = 90 km?
330 km
SKILLS               SKILLS
Prime Factorization
Reducing fractions

Greatest Common Factor       Sci. Notation

Least Common Multiple

Decimals to fractions

Equivalent Fractions
Sub dec

Comparing Fractions
Mult Dec

Mixed Number to Improper
Div Dec

Improper to Mixed
Simplifying fractions

Sub Fractions

Multiply Fractions

Divide Fractions

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