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T-23
CHAPTER 2, FORM A BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the proper fractions. 3. ___________________
5 7 3 6 1 14
, , , , ,6 8 2 6 9 11
4. Write 3
54 as an improper fraction. 4. ___________________
5. Write 114
7 as a mixed number. 5. ___________________
6. Find all the factors of 24. 6. ___________________ Find the prime factorization of each number. Write the answer using exponents. 7. 116 7. ___________________ 8. 64 8. ___________________ 9. 400 9. ___________________ Write each fraction in lowest terms.
10. 18
27 10. __________________
11. 56
72 11. ___________________
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 4 21
7 8⋅ 12. ___________________
BASIC COLLEGE MATHEMATICS Chapter 2, Form A
T-24
13. 5 15
9 16÷ 13. ___________________
14. 34
8 14. ___________________
15. Find the reciprocal of 3
8 . 15. ___________________
16. Find the area of a rectangular picture frame measuring 16. ___________________ 9
14 meter by 23 meter.
17. 3
4 of all freshmen at Marion Community College take 17. ___________________
Fundamentals of Mathematics. If there are 2400 freshmen, how many of them take Fundamentals of Mathematics? 18. If 20 cups of syrup are poured into 4
5 -cup containers, 18. ___________________
how many containers can be filled?
For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number. 19. 1 4
6 57 1⋅ 19. ___________________
20. 2 1
3 51 5⋅ 20. ___________________
21. 3 1
4 64 1÷ 21. ___________________
22. 34
13
8
2 22. ___________________
23. Each loaf of banana bread contains 1
23 ounces of nuts. 23. ___________________
How many ounces of nuts are in 9 loaves? 24. Explain in your own words how to change an improper 24. ___________________ fraction to a mixed number. Give an example showing how this is done. 25. In your own words, explain the difference between a 25. ___________________ proper fraction and an improper fraction. Give an example of each.
T-25
CHAPTER 2, FORM B BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the improper fractions. 3. ___________________
4 9 2 5 6 12
, , , , ,5 8 3 5 5 17
4. Write 3
57 as an improper fraction. 4. ___________________
5. Write 107
8 as a mixed number. 5. ___________________
6. Find all the factors of 16. 6. ___________________ Find the prime factorization of each number. Write the answer using exponents. 7. 128 7. ___________________ 8. 90 8. ___________________ 9. 200 9. ___________________ Write each fraction in lowest terms.
10. 18
64 10. __________________
11. 39
91 11. ___________________
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 5 3
6 4⋅ 12. ___________________
BASIC COLLEGE MATHEMATICS Chapter 2, Form B
T-26
13. 8 6
9 7÷ 13. ___________________
14. 23
16 14. ___________________
15. Find the reciprocal of 9. 15. ___________________ 16. Find the area of a rectangular window measuring 16. ___________________ 1
2 meter by 34 meter.
17. 3
5 of all the students at Clover Valley Academy are 17. ___________________
male. If Clover Valley has 1600 students, how many are male? 18. If a 15-foot log is cut into pieces 3
4 foot long, how 18. ___________________
many pieces will there be altogether?
For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number. 19. 1 2
8 34 3⋅ 19. ___________________
20. 51
2 66 1⋅ 20. ___________________
21. 3 1
4 55 2÷ 21. ___________________
22. 23
45
4
3 22. ___________________
23. If it snows 3
41 inches per hour, how long will it take to 23. ___________________
accumulate 10 inches of snow? 24. In your own words, write a definition of a prime number. 24. ___________________ Give an example of two different prime numbers. 25. Explain in your own words how to multiply two fractions. 25. ___________________ Give an example showing how this is done.
T-27
CHAPTER 2, FORM C BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the proper fractions. 3. ___________________
4 7 6 13 1 14
, , , , ,3 11 6 19 12 5
4. Write 5
68 as an improper fraction. 4. ___________________
5. Write 119
6 as a mixed number. 5. ___________________
6. Find all the factors of 32. 6. ___________________ Find the prime factorization of each number. Write the answer using exponents. 7. 42 7. ___________________ 8. 108 8. ___________________ 9. 460 9. ___________________ Write each fraction in lowest terms.
10. 24
32 10. __________________
11. 54
81 11. ___________________
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 2 3
9 16⋅ 12. ___________________
13. 5
168⋅ 13. ___________________
BASIC COLLEGE MATHEMATICS Chapter 2, Form C
T-28
14. 34
16 14. ___________________
15. Find the reciprocal of 10
7 . 15. ___________________
16. Find the area of a rectangular window measuring 16. ___________________ 3
4 meter by 58 meter.
17. 3
4 of all freshmen at Coastline Community College 17. ___________________
take history. If there are 1200 freshmen, how many of them take history? 18. If 24 cups of honey are poured into 2
3 -cup containers, 18. ___________________
how many containers can be filled?
For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number. 19. 1 4
3 55 1⋅ 19. ___________________
20. 3 7
4 88 2⋅ 20. ___________________
21. 5 1
8 75 2÷ 21. ___________________
22. 13
56
6
2 22. ___________________
23. Each serving of meat loaf contains 1
24 ounces of meat. 23. ___________________
How many ounces of meat are in 7 servings? 24. Explain in your own words how to change an improper 24. ___________________ fraction to a mixed number. Give an example how this is done. 25. In your own words, write a definition of a fraction in 25. ___________________ lowest terms. Give two examples of fractions expressed in lowest terms.
T-29
CHAPTER 2, FORM D BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the improper fractions. 3. ___________________
7 3 9 12 4 5
, , , , ,5 4 10 12 7 2
4. Write 2
711 as an improper fraction. 4. ___________________
5. Write 119
8 as a mixed number. 5. ___________________
6. Find all the factors of 20. 6. ___________________ Find the prime factorization of each number. Write the answer using exponents. 7. 56 7. ___________________ 8. 88 8. ___________________ 9. 600 9. ___________________ Write each fraction in lowest terms.
10. 6
21 10. __________________
11. 56
64 11. ___________________
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 7 4
8 5⋅ 12. ___________________
BASIC COLLEGE MATHEMATICS Chapter 2, Form D
T-30
13. 9 3
25 15÷ 13. ___________________
14. 45
16 14. ___________________
15. Find the reciprocal of 11
3 . 15. ___________________
16. Find the area of a rectangular flagstone that measures 16. ___________________ 7
12 meter by 45 meter.
17. 1
3 of all apartments are single bedroom units. If 825 17. ___________________
apartments are rented, how many are single bedroom units? 18. If a 21-foot log is cut into pieces 7
8 foot long, how many 18. ___________________
pieces will there be altogether?
For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number. 19. 3 2
8 37 2⋅ 19. ___________________
20. 3 2
4 34 6⋅ 20. ___________________
21. 3 2
8 35 2÷ 21. ___________________
22. 13
47
6
1 22. ___________________
23. If elephant grass grows 1
22 inches a day, how long will 23. ___________________
it grow in 7 days? 24. In your own words, write a definition of a prime number. 24. ___________________ Give an example of two different prime numbers. 25. Explain in your own words how to divide two fractions. 25. ___________________ Give an example showing how this is done.
T-31
CHAPTER 2, FORM E BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the proper fractions. 3. ___________________
2 8 7 4 2
, , , ,9 5 6 11 2
4. Write 4
96 as an improper fraction. 4. ___________________
5. Write 124
9 as a mixed number. 5. ___________________
6. Find all the factors of 30. 6. ___________________ Find the prime factorization of each number. Write the answer using exponents. 7. 20 7. ___________________ 8. 600 8. ___________________ 9. 1000 9. ___________________ Write each fraction in lowest terms.
10. 45
60 10. __________________
11. 18
99 11. ___________________
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 4 3
9 8⋅ 12. ___________________
BASIC COLLEGE MATHEMATICS Chapter 2, Form E
T-32
13. 5
147⋅ 13. ___________________
14. 3 9
10 14÷ 14. ___________________
15. Find the reciprocal of 7
10 . 15. ___________________
16. Find the area of a rectangular window measuring 16. ___________________ 4
5 meter by 23 meter.
17. 5
7 of all the trees in Beachwood Park are hardwoods. 17. ___________________
If there are 2100 trees, how many of them are hardwoods? 18. If 15 cups of syrup are poured into 3
4 -cup containers, 18. ___________________
how many containers can be filled?
For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number. 19. 3 2
4 52 2⋅ 19. ___________________
20. 31
2 44 5⋅ 20. ___________________
21. 7 1
8 43 2÷ 21. ___________________
22. 23
16
5
2 22. ___________________
23. If a river is rising by 1
22 inches a day, how much will it 23. ___________________
rise in 7 days? 24. In your own words, write a definition of a proper fraction. 24. ___________________ Give two examples of proper fractions. 25. Explain in your own words how to write a fraction in 25. ___________________ lowest terms. Give an example showing how this is done.
T-33
CHAPTER 2, FORM F BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Use a fraction to represent the shaded portions. 1. 1. ___________________ 2. 2. ___________________ 3. Name all the improper fractions. 3. ___________________
2 4 5 13 6
, , , ,9 3 11 13 17
4. Write 1
89 as an improper fraction. 4. ___________________
5. Write 115
9 as a mixed number. 5. ___________________
6. Find all the factors of 56. 6. ___________________ Find the prime factorization of each number. Write the answer using exponents. 7. 48 7. ___________________ 8. 110 8. ___________________ 9. 650 9. ___________________ Write each fraction in lowest terms.
10. 28
35 10. __________________
11. 72
96 11. ___________________
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 5
147⋅ 12. ___________________
BASIC COLLEGE MATHEMATICS Chapter 2, Form F
T-34
13. 3 9
8 10÷ 13. ___________________
14. 9
10
15 14. ___________________
15. Find the reciprocal of 12. 15. ___________________ 16. Find the area of a rectangular window measuring 16. ___________________ 3
4 meter by 23 meter.
17. 3
5 of all apartments are single bedroom units. If 800 17. ___________________
apartments are rented, how many are single bedroom units? 18. If a 16-foot pipe is cut into pieces 4
7 foot long, how many 18. ___________________
pieces will there be altogether?
For Problems 19−23, first estimate the answer. Then either multiply or divide to find the exact answer. Write the answer as a mixed number, as needed. 19. 1 2
2 52 3⋅ 19. ___________________
20. 2 1
3 43 5⋅ 20. ___________________
21. 31
3 51 5÷ 21. ___________________
22. 78
16
5
2 22. ___________________
23. Each serving of meat loaf contains 1
25 ounces of meat. How 23. ___________________
many ounces of meat are in 9 servings? 24. In your own words, write a definition of a proper fraction. 24. ___________________ Give two examples of proper fractions. 25. Explain in your own words how to determine if two fractions 25. ___________________ are equivalent. Give an example showing how this is done.
T-35
CHAPTER 2, FORM G BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Choose the best answer. For problems 1–2, determine which fraction represents the shaded portion.
1. A. 1
4 B.
1
12 C.
5
12 D.
4
1 1. __________
2. A. 4
5 B.
5
9 C.
5
4 D.
4
9 2. __________
3. Name all the proper fractions. 3. __________
4 9 2 7 12 3
, , , , ,7 9 3 5 11 4
A. 4 9 2 3
, , ,7 9 3 4
B. 9 7 12
, ,9 5 11
C. 4 2 3
, ,7 3 4
D. 7 12
,5 11
4. Write 2
57 as an improper fraction. 4. __________
A. 37
5 B.
19
5 C.
19
2 D.
17
5
5. Write 104
7 as a mixed number. 5. __________
A. 7146 B. 7
614 C. 6714 D. 14
6. Find all the factors of 12. 6. __________ A. 2, 3, 4, 6 B. 1, 2, 3, 4, 6, 12 C. 1, 12 D. 1, 2, 3 Find the prime factorization of each number. Write the answer using exponents. 7. 72 7. __________ A. 32 3⋅ B. 3 8⋅ C. 3 22 3⋅ D. 31 2 3⋅ ⋅ 8. 102 8. __________ A. 1 102⋅ B. 2 51⋅ C. 1 2 51⋅ ⋅ D. 2 3 17⋅ ⋅ 9. 300 9. __________ A. 1 300⋅ B. 2 22 3 5⋅ ⋅ C. 3 100⋅ D. 22 75⋅
BASIC COLLEGE MATHEMATICS Chapter 2, Form G
T-36
Write each fraction in lowest terms.
10. 21
28 10. _________
A. 3
4 B.
18
24 C.
9
12 D.
2
3
11. 72
84 11. _________
A. 8
9 B.
36
42 C.
18
21 D.
6
7
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 2 3
3 4⋅ 12. _________
A. 6
12 B.
1
2 C.
8
9 D. 1
81
13. 3
244
÷ 13. _________
A. 32 B. 18 C. 9 D. 2
14. 7 5
8 6÷ 14. _________
A. 21
20 B. 1
201 C. 35
48 D.
20
21
15. Find the reciprocal of 2
5 . 15. _________
A. 152 B.
2
5 C. 1
25 D. 5
2
16. Find the area of a rectangular piece of land measuring 1
2 by 56 mile. 16. _________
A. 6
8 square mile B.
5
12 square mile
C. 252 square miles D.
3
4 square mile
17. 2
3 of all students at Coe Community College receive financial aid. 17. _________
If there are 2400 students total, how many receive financial aid? A. 1600 students B. 800 students C. 3600 students D. 1200 students 18. If 108 pounds of peas are packed in 3
4 -pound bags, how many bags 18. _________
will there be altogether? A. 81 bags B. 27 bags C. 144 bags D. 54 bags
Chapter 2, Form G BASIC COLLEGE MATHEMATICS
T-37
Multiply or divide. 19. 3 1
5 36 2÷ 19. _________
A. 1212 B. 2
515 C. 29352 D. 5
912
20. 4 1
5 81 7⋅ 20. _________
A. 1107 B. 5
138 C. 24
95 D. 33
4012
21. 7 2
8 35 3÷ 21. _________
A. 53881 B. 13
2421 C. 1223 D.
88
141
22. 56
13
3
1 22. _________
A. 195 B.
8
23 C. 7
82 D. 126
23. If it rains 1
43 inches per week, how much rain will fall over 125 weeks? 23. _________
A. 1815 inches B. 7
817 inches C. 15 inches D. 348 inches
24. Which of the following are equivalent fractions? 24. _________
A. 7 14
and 8 18
B. 2 4
and 3 9
C. 5 10
and 6 11
D. 3 9
and 4 12
25. Which one of the following fractions is in lowest terms? 25. _________
A. 8
12 B.
7
11 C.
8
8 D.
2
14
T-39
CHAPTER 2, FORM H BASIC COLLEGE MATHEMATICS NAME: ____________________ SECTION: __________
Choose the best answer. For problems 1–2, determine which fraction represents the shaded portion. 1. 1. __________
A. 7
5 B.
5
7 C.
5
12 D.
7
12
2. 2. __________
A. 4
9 B.
5
9 C.
5
4 D.
4
5
3. Name all the improper fractions. 3. __________
7 9 2 4 9 12
, , , , ,6 10 2 3 8 19
A. 9 12
,10 19
B. 9 2 12
, ,10 2 19
C. 7 4 9
, ,6 3 8
D. 7 2 4 9
, , ,6 2 3 8
4. Write 5
68 as an improper fraction. 4. __________
A. 46
6 B.
48
6 C.
53
6 D.
46
5
5. Write 133
9 as a mixed number. 5. __________
A. 7914 B. 9
714 C. 129 D. 9
147
6. Find all the factors of 18. 6. __________ A. 1, 18 B. 2, 3, 6, 9 C. 1, 2, 3 D. 1, 2, 3, 6, 9, 18 Find the prime factorization of each number. Write the answer using exponents. 7. 36 7. __________ A. 1 36⋅ B. 4 9⋅ C. 2 22 3⋅ D. 2 18⋅ 8. 54 8. __________ A. 1 54⋅ B. 6 9⋅ C. 32 3⋅ D. 2 3 9⋅ ⋅ 9. 440 9. __________ A. 32 5 11⋅ ⋅ B. 8 55⋅ C. 1 440⋅ D. 44 10⋅
BASIC COLLEGE MATHEMATICS Chapter 2, Form H
T-40
Write each fraction in lowest terms.
10. 32
40 10. _________
A. 16
20 B.
3
4 C.
32
40 D.
4
5
11. 96
108 11. _________
A. 96
108 B.
16
18 C.
8
9 D.
2
3
Multiply or divide. Write the answer in lowest terms and as a mixed number or a whole number where possible.
12. 5 3
6 4⋅ 12. _________
A. 10
9 B.
15
24 C.
9
10 D.
5
8
13. 5 3
8 10÷ 13. _________
A. 3
16 B. 1
35 C. 1122 D.
12
25
14. 6
11
24 14. _________
A. 1913 B. 4 C.
4
11 D. 44
15. Find the reciprocal of 9
8 . 15. _________
A. 8
9 B. 1
81 C. 9 D. 9
8
16. Find the area of a rectangular piece of land measuring 3
4 by 78 mile. 16. _________
A. 161 square mile B. 21
32 square mile
C. 732 square mile D. 6
7 square mile
17. 5
7 of all students at Judson Tech Community College receive 17. _________
financial aid. If there are 2100 students total, how many receive financial aid? A. 2940 students B. 300 students C. 420 students D. 1500 students 18. If 18 pounds of peas are packed in 2
3 -pound bags, how many bags 18. _________
will there be altogether? A. 12 bags B. 9 bags C. 27 bags D. 36 bags
Chapter 2, Form H BASIC COLLEGE MATHEMATICS
T-41
Multiply or divide. 19. 2 1
3 45 3⋅ 19. _________
A. 51218 B. 1
615 C. 29391 D. 7
1215
20. 3 5
5 81 4⋅ 20. _________
A. 384 B. 64
185 C. 1407 D. 2
57
21. 32
3 85 4÷ 21. _________
A. 311051 B. 7
937 C. 105
136 D. 7
1628
22. 25
13
3
1 22. _________
A. 8154 B. 11
202 C. 17
20 D. 1
54
23. If a highway department can resurface 1
43 miles of state highway 23. _________
per day, how many miles can they resurface in 125 days?
A. 7817 miles B. 15 miles C. 1
815 miles D. 3416 miles
24. Which of the following are equivalent fractions? 24. _________
A. 3 9
and 4 16
B. 7 2
and 8 16
C. 2 8
and 3 12
D. 1 6
and 2 16
25. Which one of the following fractions is in lowest terms? 25. _________
A. 8
9 B.
6
9 C.
7
7 D.
5
10
BASIC COLLEGE MATHEMATICS Answers to Chapter Test Forms
A-10
Chapter 2, Form A 1. 5
8
2. 7
10
3. 5 7 1
6 8 9, ,
4. 23
5
5. 2
716
6. 1, 2, 3, 4, 6, 8, 12, 24 7. 22 29⋅ 8. 62 9. 4 22 5⋅ 10. 2
3
11. 7
9
12. 1
21
13. 16
27
14. 2
310
15. 8
3
16. 3
7 square meter
17. 1800 freshmen 18. 25 containers 19. Estimate: 7 2 14⋅ =
Exact: 91012
20. Estimate: 2 5 10⋅ =
Exact: 238
21. Estimate: 5 1 5÷ =
Exact: 1144
22. Estimate: 1
29 2 4÷ =
Exact: 343
23. Estimate: 4 9 36⋅ = Exact: 1
231 ounces
24. Divide the numerator by the denominator. The
quotient is the whole number part of the mixed number, and the remainder is the numerator of the fraction part. The denominator is
unchanged. For example, 1
5 8 R3 , so 8 35 51= .
25. A proper fraction has a value that is less than 1.
An improper fraction has a value that is greater than or equal to 1. For example, 2
3 and 15 are
proper fractions, but 73 and 9
9 are improper
fractions.
Answers to Chapter Test Forms BASIC COLLEGE MATHEMATICS
A-11
Chapter 2, Form B 1. 3
8
2. 13
16
3. 9 5 6
8 5 5, ,
4. 38
5
5. 3
813
6. 1, 2, 4, 8, 16 7. 72 8. 22 3 5⋅ ⋅ 9. 3 22 5⋅ 10. 9
32
11. 3
7
12. 5
8
13. 1
271
14. 24 15. 1
9
16. 3
8 square meter
17. 960 male students 18. 20 pieces 19. Estimate: 4 4 16⋅ =
Exact: 1815
20. Estimate: 7 2 14⋅ =
Exact: 111211
21. Estimate: 6 2 3÷ =
Exact: 27442
22. Estimate: 1
45 4 1÷ =
Exact: 13571
23. Estimate: 10 2 5÷ =
Exact: 575 hours
24. A prime number has exactly two divisors, 1 and
itself. For example, 7 and 11 are prime numbers.
25. Multiply the numerators, then multiply the
denominators. For example, 3 7 3 7 214 8 4 8 32
⋅⋅⋅ = = .
BASIC COLLEGE MATHEMATICS Answers to Chapter Test Forms
A-12
Chapter 2, Form C 1. 7
8
2. 3
10
3. 7 13 1
11 19 12, ,
4. 53
6
5. 5
619
6. 1, 2, 4, 8, 16, 32 7. 2 3 7⋅ ⋅ 8. 2 32 3⋅ 9. 22 5 23⋅ ⋅ 10. 3
4
11. 2
3
12. 1
24
13. 10 14. 1
321
15. 7
10
16. 15
32 square meter
17. 900 freshmen 18. 36 containers 19. Estimate: 5 2 10⋅ =
Exact: 359
20. Estimate: 9 3 27⋅ =
Exact: 53225
21. Estimate: 6 2 3÷ =
Exact: 582
22. Estimate: 6 3 2÷ = Exact: 4
172
23. Estimate: 5 7 35⋅ = Exact: 1
231 ounces
24. Divide the numerator by the denominator. The
quotient is the whole number part of the mixed number, and the remainder is the numerator of the fraction part. The denominator is
unchanged. For example, 9
3 29 R2 , so
29 23 39= .
25. A fraction in lowest terms has no common factors in its numerator and denominator. For example, 7
8 and 1013 are in lowest terms.
Answers to Chapter Test Forms BASIC COLLEGE MATHEMATICS
A-13
Chapter 2, Form D 1. 7
8
2. 5
12
3. 7 512
5 12 2, ,
4. 79
7
5. 7
814
6. 1, 2, 4, 5, 10, 20 7. 32 7⋅ 8. 32 11⋅ 9. 3 22 3 5⋅ ⋅ 10. 2
7
11. 7
8
12. 7
10
13. 4
51
14. 20 15. 3
11
16. 7
15 square meter
17. 275 apartments 18. 24 pieces 19. Estimate: 7 3 21⋅ =
Exact: 2319
20. Estimate: 5 7 35⋅ =
Exact: 2331
21. Estimate: 2
35 3 1÷ =
Exact: 1642
22. Estimate: 6 2 3÷ = Exact: 1
334
23. Estimate: 3 7 21⋅ = Exact: 1
217 inches
24. A prime number has exactly two different
factors, only itself and 1. For example, 7 and 17 are prime numbers since each is only divisible by itself and 1.
25. Invert the second fraction which is the divisor
and multiply. For example, 3 7 3 9 274 9 4 7 28÷ = ⋅ = .
BASIC COLLEGE MATHEMATICS Answers to Chapter Test Forms
A-14
Chapter 2, Form E 1. 7
12
2. 5
7
3. 2 4
9 11,
4. 58
9
5. 7
913
6. 1, 2, 3, 5, 6, 10, 15, 30 7. 22 5⋅ 8. 3 22 3 5⋅ ⋅ 9. 3 32 5⋅ 10. 3
4
11. 2
11
12. 1
6
13. 10 14. 7
15
15. 10
7
16. 8
15 square meter
17. 1500 hardwoods 18. 20 containers 19. Estimate: 3 2 6⋅ =
Exact: 356
20. Estimate: 5 6 30⋅ =
Exact: 7825
21. Estimate: 4 2 2÷ = Exact: 13
181
22. Estimate: 6 2 3÷ =
Exact: 8132
23. Estimate: 3 7 21⋅ = Exact: 1
217 inches
24. A proper fraction has a numerator less than the
denominator. For example, 34 and 9
11 are
proper fractions. 25. Divide the numerator and denominator by the
same number until there are no common factors in the numerator and denominator. For example, 12 612 2
18 18 6 3÷÷= = .
Answers to Chapter Test Forms BASIC COLLEGE MATHEMATICS
A-15
Chapter 2, Form F 1. 11
12
2. 7
10
3. 134
3 13,
4. 73
8
5. 7
912
6. 1, 2, 4, 7, 8, 14, 28, 56 7. 42 3⋅ 8. 2 5 11⋅ ⋅ 9. 22 5 13⋅ ⋅ 10. 4
5
11. 3
4
12. 10 13. 5
12
14. 2
316
15. 1
12
16. 1
2 square meter
17. 480 apartments 18. 28 pieces 19. Estimate: 3 3 9⋅ =
Exact: 128
20. Estimate: 4 5 20⋅ =
Exact: 1419
21. Estimate: 1
61 6÷ =
Exact: 521
22. Estimate: 6 2 3÷ = Exact: 37
522
23. Estimate: 6 9 54⋅ = Exact: 1
249 ounces
24. A proper fraction has a numerator that is less
than the denominator. For example, 35 and 1
11
are proper fractions. 25. Find the cross products by multiplying the
numerator of each fraction by the denominator of the other fraction. If the cross products are equal, the fractions are equivalent. For example, 8
12 and 23 are equivalent because
8 3 24⋅ = and 2 12 24⋅ = .
BASIC COLLEGE MATHEMATICS Answers to Chapter Test Forms
A-16
Chapter 2, Form G Chapter 2, Form H 1. B
2. D
3. C 4. A 5. C
6. B
7. C 8. D 9. B 10. A 11. D 12. B
13. A
14. B
15. D 16. B 17. A 18. C 19. C
20. D 21. A 22. C 23. B 24. D 25. B
1. C
2. A 3. D 4. C 5. A 6. D 7. C 8. C 9. A 10. D 11. C 12. D 13. C 14. D 15. A 16. B 17. D 18. C 19. A 20. D 21. A 22. B 23. A 24. C 25. A