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Test bank and solution of algebra math (2)

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Chapter 2

Test Form A

Name:

Write the following fractions in lowest terms.
1.

35
80

1.

375
2. 1000

3.

2.

32
64

3.

Convert the following improper fractions to mixed numbers, and write using lowest terms.
4. 19
7

4.



5.

38
24

5.

6.

50
16

6.

Convert the following mixed numbers to improper fractions.
5
7. 3 11

7.

8. 21 78

8.

9. 32 13

9.

Find the LCD of each of the following groups of denominators.

10. 8, 12

10.

11. 5, 10, 16

11.

12. 6, 15, 24, 32

12.

Solve the following problems.
13.

+

1
5
3
10
1
4

14.

7
47 12

−13


13.

1
6

14.

Copyright © 2015 Pearson Education, Inc.

63


64

Fractions – Test Form A

15.

3
8
13
− 48 16

15.

59

16. 12 12 ×1 23


16.

27
17. 3 34 ÷ 16

17.

Solve the following application problems.
18. Spence Ferris, a sales representative, drove 4 12 hours on the
first day of his business trip, 8 34 hours on the second day,

18.

6 23 hours on the third day, and 5 16 hours on the fourth day.
If he must drive a total of 30 hours in five days, how many
hours must Spence drive on the fifth day?
19. Rod Shuffield owns 63 34 acres of land. He sells one-third

of the land,

1
5

19.

of the remaining land will lie unplanted. How

many acres will Rod plant this year?
20. Anna Granger bought 29 shares of one stock for $8 34 per
share and 15 shares of another stock for $6 14 per share.


20.

How much did she pay altogether?
21. Find the number of decorative bows that can be made from
24 34 yards of ribbon if each bow requires 1 18 yards of

21.

ribbon.
Convert the following decimals to fractions.
22. .725

22.

23. .84

23.

Convert the following fractions to decimals. Round answer to the nearest thousandth.
24. 17
18

24.

25. 19
24

25.
Copyright © 2015 Pearson Education, Inc.



Chapter 2

Test Form B

Name:

Write the following fractions in lowest terms.
1.

28
70

1.

36
2. 100

2.

24
3. 1236

3.

Convert the following improper fractions to mixed numbers, and write using lowest terms.
4.

55

7

4.

5.

21
6

5.

6.

80
21

6.

Convert the following mixed numbers to improper fractions.
7. 4 56

7.

8. 32 18

8.

9. 10 94

9.


Find the LCD of each of the following groups of denominators.
10. 6, 27

10.

11. 5, 12, 21

11.

12. 2, 6, 15, 32

12.

Solve the following problems.
13.

+

5
8
7
12
2
3

14.

27 89


13.

−14 13

14.

Copyright © 2015 Pearson Education, Inc.

65


66

Fractions – Test Form B

15.

4
7
11
− 29 14

15.

73

16. 6 13 × 52

16.


17. 2 12 ÷ 3 43

17.

Solve the following application problems.
18. Desiree Ramirez is a scuba diver and plans to spend 5 hours
underwater during her five day vacation. She makes two
dives each day. On the first day, the duration of her dives
was 12 hour and 23 hour; the second day, 34 and 13 hour;

the third day,

5
6

and

1
2

hour; the fourth day,

2
3

and

1
4


18.

hour.

How long must she spend on the fifth day to achieve her goal?
19. Sam Becker owns 147 14 acres of land in Maine. He sells

19.

one-fifth of his land and deeds 12 of the remaining land to
his grandchildren. How much land does Sam still own?
20. Sally McLouth bought 7 pounds of rib eye steak for $7.75
per pound and 4 12 pounds of lamb chops for $9.25 per

20.

pound. Find the total cost. Round your answer to the
nearest cent.
21. A party favor requires 3 78 inches of ribbon. How many
party favors can be made with 62 inches of ribbon?

21.

Convert the following decimals to fractions.
22. .3

22.

23. .85


23.

Convert the following fractions to decimals. Round answer to the nearest thousandth.
24. 19
22

24.

11
25. 12

25.

Copyright © 2015 Pearson Education, Inc.


Chapter 2

Test Form C

Name:

Write the following fractions in lowest terms.
1.

76
90

1.


2.

28
490

2.

3.

426
840

3.

Convert the following improper fractions to mixed numbers, and write using lowest terms.
4.

39
5

4.

5.

63
14

5.

6. 116

28

6.

Convert the following mixed numbers to improper fractions.
7. 6 85

7.

8. 17 53

8.

1
9. 12 11

9.

Find the LCD of each of the following groups of denominators.
10. 6, 21

10.

11. 4, 10, 18

11.

12. 8, 14, 16, 21

12.


Solve the following problems.
13.

+

3
4
2
3
5
6

15
14. 16 16

13.

−4 18

14.

Copyright © 2015 Pearson Education, Inc.

67


68

Fractions – Test Form C


15.

2
5
13
− 9 15

12

15.

16. 2 23 × 4 12

16.

17. 12 12 ÷ 3

17.

Solve the following application problems.
18. A concession stand stocks 18 cases of soda for the weekend
6 13 cases of soda were sold on Friday, 5 34 on Saturday, and

18.

4 12 on Sunday. How many cases remain?
19. Jill Owen owns 271 14 acres of land in Alaska. She sells
one-fourth of the land and sets aside 53 of the reminder as


19.

wilderness area. How much remains that is not designated
as wilderness?
20. Brad Harrington bought 31 shares of one stock for $9 34
per share and 26 shares of another stock for $11 85 per

20.

share. How much did he pay altogether?
21. Find the number of cakes that can be made from 25 lb. of
flour if each cake requires 56 of a pound.

21.

Convert the following decimals to fractions.
22. .22

22.

23. .1125

23.

Convert the following fractions to decimals. Round answer to the nearest thousandth.
5
24. 13

24.


59
25. 120

25.

Copyright © 2015 Pearson Education, Inc.


Chapter 2

Test Form D

Name:

Write the following fractions in lowest terms.
1.

56
60

1.

48
2. 100

2.

281
562


3.

3.

Convert the following improper fractions to mixed numbers, and write using lowest terms.
4.

35
8

4.

5.

70
30

5.

6. 124
24

6.

Convert the following mixed numbers to improper fractions.
7. 7 74

7.

3

8. 12 16

8.

9. 34 23

9.

Find the LCD of each of the following groups of denominators.
10. 14, 20

10.

11. 10, 15, 20

11.

12. 8, 9, 15, 16

12.

Solve the following problems.
13.

3
5
7
4 10
8
+ 1 15


18

14.

7
6 12

−2

13.

1
3

14.

Copyright © 2015 Pearson Education, Inc.

69


70

Fractions – Test Form D

15.

92 14
−11 56


15.

4
16. 5 19 × 23

16.

8
17. 3 52 ÷ 4 15

17.

Solve the following application problems.
18. Mari Seni works exactly 40 hours in a 5-day work week.
She worked 6 12 hours of Monday, 8 34 hours on Tuesday,

18.

6 56 hours on Wednesday, and 10 14 hours on Thursday.
How many hours must Mari work on Friday?
19. Barry Owen owns 146 12 acres of land in Nebraska. He

sells one-third of the land and donates

1
10

19.


of the remainder

for charity. How many acres of land does he have left?
20. Kirk Spencer bought 23 shares of one stock for $6 85 per
share and 45 shares of another stock for $16 34 per share.

20.

How much did he pay altogether? Round your answer to
the nearest cent.
21. Brookhaven College recently carpeted its new offices with
210 square yards of carpet. The total cost of the carpet was
$6825. What was the cost of the carpet per square yard?

21.

Convert the following decimals to fractions.
22. .075

22.

23. .42

23.

Convert the following fractions to decimals. Round to the nearest thousandth.
3
24. 28

24.


41
25. 84

25.

Copyright © 2015 Pearson Education, Inc.


Chapter 2

Test Form E

Name:

For each question, select the letter that corresponds to the correct answer.
80 in lowest terms.
1. Write 112

(a)

6
7

(b)

40
56

1.


(c)

5
7

(d)

10
14

325 in lowest terms.
2. Write 1000

(a)

28
250

(b)

13
40

2.

(c)

65
200


(d)

11
100

36 in lowest terms.
3. Write 1260

(a)

1
35

(b)

18
630

3.

(c)

3
105

(d)

6
210


4. Convert 39
to a mixed number. Write in lowest terms.
5

(a) 5 74

(b) 4 75

(c) 7 54

4.

(d) 7 54

5. Convert 116
to a mixed number. Write in lowest terms.
28
4
(a) 4 28

(b) 7 14

(c) 1 74

5.

(d) 4 17

57 to a mixed number. Write in lowest terms.

6. Convert 18

(a) 3 13

3
(b) 3 18

(c) 3 16

6.

(d) 3

7. Convert 7 95 to an improper fraction.

(a)

68
9

(b)

60
9

7.

(c)

63

9

(d)

71
9

8. Convert 14 56 to an improper fraction.

(a)

89
6

(b)

84
5

8.

(c)

70
6

Copyright © 2015 Pearson Education, Inc.

(d)


76
5

71


72

Fractions – Test Form E

9. Convert 20 34 to an improper fraction.

(a)

64
4

(b)

83
3

9.

(c)

80
3

(d)


83
4

10. Find the LCD for 34 and 17
.
50

(a) 120

(b) 2

10.

(c) 100

(d) 200

3 , 7 , and 21 .
11. Find the LCD for 10
18
25

(a) 500

(b) 630

11.

(c) 900


(d) 450

12. Find the LCD for 34 , 18 , and 16
.
21

(a) 336

(b) 168

12.

(c) 2016

(d) 4032

Solve the following problems.
1
13. Add: 34 + 85 + 12

(a) 2 12

13.

(b) 1 11
24

9
(c) 1 20


7
(d) 1 12

14. Subtract: 6 89 − 2 13

(a) 4 95

14.

(b) 4 94

(c) 4 23

(d) 4 12

1 − 28 1
15. Subtract: 57 12
6

(a) 28 34

15.

(b) 29 23

(c) 28 56

11
(d) 28 12


16. Multiply: 7 83 × 89

(a) 6 92
34
17. Divide: 2 56 ÷ 12
(a) 1

16.

(b) 6 17
18

(c) 7 13

(d) 6 95
17.

(b) 1 13

(c) 1 12

(d) 1 16

Copyright © 2015 Pearson Education, Inc.


Fractions – Test Form E

Solve the following application problems.

1
18. Jack Ennings is a freelancer who works 35 hours a week. He worked 6 12
hours on Monday, 7 13 hours on Tuesday, 9 14 hours on Wednesday, and

18.

4 12 hours on Thursday. How many hours should Jack work on Friday?
1
(a) 9 12

(b) 7 56

(c) 10 16

(d) 8 23

19. Julie Fleming owns 90 34 acres of land in Arizona. She sells one-third
of the land and deeds 14 of the reminder to her son. How many acres of

19.

land does she have left?
(a) 15 18

(b) 45 83

(c) 60 12

9
(d) 7 16


20. Don Baker bought 36 shares of one stock for $6 34 per share and 45
shares of another stock for $7 14 per share. How much did he pay

20.

altogether?
(a) $303.75

(b) $504.00

(c) $569.25

(d) $630.00

21. A certain fabric costs $5 14 per yard. How many yards can you buy for
$194.25?

(a) 199

(b) 37

(c) 39

(d) 189

22. Convert .06 to a fraction.

(a)


3
5

(b)

4
50

22.

(c)

3
50

(d)

3
500

23. Convert .615 to a fraction.

(a)

123
500

(b)

615

10

23.

(c)

121
200

(d)

123
200

24. Convert 76 to a decimal. Round to the nearest thousandth.

(a) 1.167

(b) 1.1667

(c) .8571

24.

(d) .857

25. Convert 11
to a decimal. Round to the nearest thousandth.
24


(a) .4583

(b) 2.182

21.

(c) .458

(d) 2.1818

Copyright © 2015 Pearson Education, Inc.

25.

73



Chapter 2

Test Form F

Name:

For each question, select the letter that corresponds to the correct answer.
1. Write 177
in lowest terms.
354

(a)


59
118

(b)

1
2

1.

(c)

177
354

(d) 2

2. Write 345
in lowest terms.
600

(a)

6
50

(b)

1

2

2.

(c)

69
120

(d)

23
40

72 in lowest terms.
3. Write 192

(a)

1
2

(b)

3
8

3.

(c)


9
24

(d)

7
19

4. Convert 33
to a mixed number. Write in lowest terms.
5

(a) 6 53

5
(b) 6 15

(c) 6 53

4.

(d) 6 13

to mixed number. Write in lowest terms.
5. Convert 258
36
6
(a) 7 36


(b) 7 16

(c) 6 17

5.

(d) 1 76

6. Convert 54
to mixed number. Write in lowest terms.
24

(a) 2 14

(b) 2 12

3
(c) 2 12

6.

(d) 2

7. Convert 6 17 to an improper fraction.

(a) 6

(b)

39

7

7.

(c)

40
7

(d)

43
7

8. Convert 34 34 to an improper fraction.

(a)

136
4

(b)

139
4

8.

(c)


106
3

Copyright © 2015 Pearson Education, Inc.

(d)

106
4

75


76

Fractions – Test Form F

9. Convert 14 78 to an improper fraction.

(a)

112
8

(b)

121
8

9.


(c)

115
8

(d)

119
8

3 and 25 .
10. Find the LCD for 14
26

(a) 2

(b) 364

10.

(c) 182

(d) 7

11. Find the LCD for 56 , 13
, and 24
.
28
25


(a) 420

(b) 2100

11.

(c) 210

(d) 820

9 , and 5 .
12. Find the LCD for 13 , 10
12

(a) 60

(b) 150

12.

(c) 30

(d) 300

Solve the following problems.
11
13. Add: 1 56 + 23 + 12
5
(a) 2 12


13.

(b) 3 12

7
(c) 3 12

5
(d) 3 12

14. Subtract: 17 16 − 4 32

(a) 13 12

14.

(b) 13 13

(c) 12 12

(d) 13

13 − 4 5
15. Subtract: 12 15
6
1
(a) 8 30

15.

3
(b) 8 10

1
(c) 7 30

(d) 8

16. Multiply: 2 17 × 14
5

(a)

209
35

16.

(b) 20

(c) 6

(d)

75
98

17. Divide: 11 14 ÷ 3

(a) 14 23


17.

(b)

4
135

(c) 3 34

(d)

Copyright © 2015 Pearson Education, Inc.

4
15


Fractions – Test Form F

Solve the following application problems.
18. Lisa Evans has a 30-page term paper due on Monday. She wrote 5 16
pages on Thursday, 7 13 pages on Friday, and 9 34 pages on Saturday.

18.

How many pages must she write on Sunday to complete the assignment?
(a) 7 34

(b) 8 23


5
(c) 7 12

(d) 8 34

19. Charles Franke is building a bookshelf. He has a piece of wood 18 34 feet

19.

long. He uses four pieces, each 2 18 feet long, for the shelves, and two
pieces, each 3 feet long, for the side supports. How much wood is left over?
(a) 14 12 feet

(b) 13 85 feet

(c) 7 14 feet

(d) 4 14 feet

20. Elza Wilding bought 48 shares of one stock for $15 34 per share and
42 shares of another stock for $11 18 per share. How much did she

20.

pay altogether?
(a) $1001.25

(b) $1223.25


(c) $1128.75

(d) $1417.50

21. A logger is clearing land and cuts down a tree that is 140 feet long.
He cuts the tree into logs of length 1 14 feet. How many logs can he cut?

(a) 175

(b) 35

(c) 112

(d) 560

22. Convert .125 to a fraction.

(a)

125
1000

(b)

7
8

22.

(c)


1
8

(d) 1 14

23. Convert .36 to a fraction.

(a)

9
25

(b)

23.
3
5

(c)

2
5

(d)

8
25

7 to a decimal. Round to the nearest thousandth.

24. Convert 17

(a) .4118

(b) .412

(c) 2.429

(b) 5.333

(c) .188

24.

(d) 2.4286

3 to a decimal. Round to the nearest thousandth.
25. Convert 16

(a) 5.33

21.

(d) .1875

Copyright © 2015 Pearson Education, Inc.

25.

77





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