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Name:Date:

Unit Nine Study Guide

1. Gloria made 2 out of 8 shots in the school basketball free-throw contest.

a.What fraction of the shots did she make?

b.What percent of the shots did she make?

c.At this rate, how many shots would she make if she took 100 shots?

2. Peter set a goal of jogging a total of 100 miles over the summer. He filled in the following square to keeptrack of the miles he ran. During the first two weeks of July, he jogged 25 miles.

a. What fraction of 100 miles did he jog in 2 weeks?b. What percent of 100 miles did he jog?c. At this rate, how many weeks would it take him to jog 100 miles?

3. Fill in the table of equivalent fractions, decimals, and percents.

Fraction Decimal Percent

1

4

0 75

60

010

90

66

.

%

.

%

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4. Use a calculator to rename each fraction as a decimal.

a.3

16

b.6

24

c.9

48

5. Use a calculator to rename each fraction as a percent.

a.7

8

b.14

32

c.2

32

6. Shade 30% of the given square.

a.What fraction of the square did you shade?

b. Write this fraction as a decimal.c. What percent of the square is notshaded?

7. Find the area and the perimeter of the rectangle. Write number models to show what you did to get theanswers. Width

3 cm

2 cm

Perimeter cm=

Number model:

Area cm2=

Number model:

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8. Find the area and the perimeter of the parallelogram. Write number models to show what you did to get theanswers.

2 cm

3 cm

3 cm

Perimeter cm=

Number model:

Area cm2=

Number model:

9. Find the area and the perimeter of the triangle. Write number models to show what you did to get the answer

2 cm

3 cm

3 cm

Perimeter cm=

Number model:

Area cm

2=

Number model:

Make a true sentence by inserting parentheses.

10. 5 4 36 200 + =

11. 30 18 8 20+ =

12. 63 9 22 15/ =

13. 3 5 18 13 46 + + =

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14. John bought a jacket that sold for $220. He had a coupon for a10% discount.a. How much money did he save with the discount?

b. How much money did he pay for the jacket?

15. Anita is buying a washing machine. The washing machine she wants costs $400 at bothNxs Department Store and Als Department Store. After New Years Day, Nxs Department Store put it on

sale at a savings of1

10

off the regular price. Als Department Store offered a 40% discount on all items. At

which store should Anita buy the washing machine? Why?

16. Estimate to locate the position of the decimal point in the product. Write a number model to show how you

estimated the answer.

0 03 41 123. =

Number model:

17. Estimate to locate the position of the decimal point in the quotient. Write a number model to show how youestimated the answer.

225 24 6 3754. =

Number model:

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[1]

a. __________

b. __________

c. __________

[2]

a. __________

b. __________

c. __________

[3]

Fraction Decimal Percent

1

4

0 75

60

010

90

6

6

.

%

.

%

[4]

a. __________

b. __________

c. __________

[5]

a. __________

b. __________

c. __________

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[6]

a.

b.

c.

[7]

Perimeter cm=

Number model:

Area cm2=

Number model:

[8]

Perimeter cm=

Number model:

Area cm2=

Number model:

[9]

Perimeter cm=

Number model:

Area cm2=

Number model:

[10]

[11]

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[12]

[13]

[14]

a. __________

b. __________

[15]

[16]

[17]

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[1]

a.2

8

1

4or

b. 25%

c. 25 shots

[2]

a.25

100

5

20

1

4, , or

b. 25%

c. 8 weeks

[3]

Fraction Decimal Percent

1

40 25 25

3

40 75 75

35

0 60 60

1

10010 10

9

100 90 90

6

6100 100

. %

. %

. %

. %

. %

. %

[4]

a. 0.1875b. 0.25c. 0.1875

[5]

a. 875. %

b. 4375. %

c. 625. %

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[6]

a.30

100or

3

10b. 0.30c. 70%

[7]

Perimeter = 10

Number model: 2 3 2 10+ =b g

Area = 6 cm2

Number model: 3 2 6 =b g

[8]

Perimeter = 12 cm

Number model : 2 3 + 3 12b g =

Area = 6 cm2

Number model : 3 2 6 =

[9]

Perimeter = 9 cm

Number model : 3 3 3+ + = 9

Area = 3 cm2

Number model :1

2 3 2 = 3

[10] 5 4 36 200 + =b g

[11] 30 18 8 20b g + =

[12] 63 9 22 15/ b g =

[13] 3 5 18 13 46 + + =b g

[14]

a. $22

b. $198

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[15]

Als Department Store; Sample Answer: Nxs:1

1010= %. A 10% discount on $400 is $40. Als : A

40% discount on $400 is $160.

[16]

1.23

Number model:3

10041

123

100123 = = .

[17]

37.54

Number model:22524

100

1

6

3754

1003754 = = .