CHAPTER
Chapter Review
2 2-1 Integers Compare the integers. Use ⬍ or ⬎. 1. 4
6
2. 2
3. 14
2
9
Use a number line to find each absolute value. 4. ⏐6⏐
5. ⏐3⏐
6. ⏐9⏐
8. 13 (3)
9. 7 (4)
2-2 Adding Integers Find each sum. 7. 8 6
Evaluate a ⫹ b for the given values. 10. a 8, b 17
11. a 44, b 49
12. a 5, b 14
2-3 Subtracting Integers Find each difference. 13. 7 11
14. 9 (15)
15. 7 6
Evaluate a ⫺ b for the given values. 16. a 8, b 3
17. a 4, b 11
18. a 3, b 8
2-4 Multiplying and Dividing Integers Find each product. 19. 6
ⴢ (3)
20. 4
ⴢ8
21. 8
ⴢ (5)
Find each quotient. 22. 45 (9) Copyright © by Holt McDougal. All rights reserved.
23. 24 4
24. 39 (3) 64
Holt McDougal Mathematics
CHAPTER 2 REVIEW CONTINUED
2-5 Solving Equations Containing Integers Solve. Check your answer. 25. 8h 48
26. 15 k 35
27. 27 x 42
28. This year, 84 students performed at the Spring Choral Concert. There were 4 groups with an equal number of students that performed. How many students were in each group?
2-6 Prime Factorization Tell whether each number is prime or composite. 29. 23
30. 35
31. 46
Write the prime factorization of each number. 32. 75
33. 48
34. 63
2-7 Greatest Common Factor Find the greatest common factor (GCF). 35. 35, 49
36. 36, 48, 60
37. 54, 18, 72, 36
38. A Sports Club is preparing welcome gifts. There are 65 golf balls, 39 baseballs, and 26 tennis balls. What is the greatest number of gifts the Sports Club can prepare using all of the golf balls, baseballs, and tennis balls?
2-8 Least Common Multiple Find the least common multiple (LCM). 39. 8, 10
40. 3, 8, 9
41. 2, 3, 4, 6
42. Charlie and Heather swam laps in the pool. Charlie completed one lap in 3 minutes and Heather completed one lap in 7 minutes. If they started swimming laps at the same time, in how many minutes will they finish a lap together?
Copyright © by Holt McDougal. All rights reserved.
65
Holt McDougal Mathematics
CHAPTER 2 REVIEW CONTINUED
2-9 Equivalent Fractions and Mixed Numbers Write each fraction as an improper fraction or a mixed number. 13
17 44. 6
43. 2 14
15 45. 11
2
46. 37
Determine whether the fractions in each pair are equivalent. 3
4
9
47. 7 and 9
12
4
48. 6 and 8
12
49. 5 and 15
2-10 Equivalent Fractions and Decimals Write each fraction as a decimal. 2
7 51. 20
50. 5
37 52. 50
5 53. 8
Write each decimal as a fraction in simplest form. 55. 1.15
54. 0.075
57. 2.8
56. 0.38
2-11 Comparing and Ordering Rational Numbers Compare the fractions. Write ⬍ or ⬎. 3
58. 5
2 3
6
59. 5
5
4
6
60. 7
5
9
Compare the decimals. Write ⬍ or ⬎. 61. 0.378
0.375
Copyright © by Holt McDougal. All rights reserved.
62. 0.19
0.919
66
63. 5.9
5.09
Holt McDougal Mathematics
CHAPTER
Chapter Review
2 2-1 Integers Compare the integers. Use ⬍ or ⬎. ⬎
6
1. 4
2. 2
⬍
2
3. 14
9
⬍
Use a number line to find each absolute value. 4. ⏐6⏐
6
5. ⏐3⏐
3
9
6. ⏐9⏐
2-2 Adding Integers Find each sum. 7. 8 6
⫺2
10
8. 13 (3)
⫺11
9. 7 (4)
Evaluate a ⫹ b for the given values. 10. a 8, b 17 ⫺9
11. a 44, b 49
12. a 5, b 14 ⫺19
5
2-3 Subtracting Integers Find each difference. 13. 7 11
⫺4
6
14. 9 (15)
15. 7 6
⫺13
Evaluate a ⫺ b for the given values. 16. a 8, b 3
17. a 4, b 11 ⫺15
11
18. a 3, b 8 ⫺5
2-4 Multiplying and Dividing Integers Find each product. 19. 6
ⴢ (3)
⫺18
20. 4
ⴢ8
⫺32
21. 8
ⴢ (5)
40
Find each quotient. 22. 45 (9) Copyright © by Holt McDougal. All rights reserved.
⫺5
23. 24 4
⫺6 64
24. 39 (3)
13
Holt McDougal Mathematics
CHAPTER 2 REVIEW CONTINUED
2-5 Solving Equations Containing Integers Solve. Check your answer. 25. 8h 48
26. 15 k 35
27. 27 x 42
k ⫽ 50
x ⫽ 69
h ⫽ ⫺6
28. This year, 84 students performed at the Spring Choral Concert. There were 4 groups with an equal number of students that performed. How many students were in each group? 21 students
2-6 Prime Factorization Tell whether each number is prime or composite. 29. 23
prime
30. 35
composite
31. 46
composite
34. 63
32
Write the prime factorization of each number. 32. 75
52
ⴢ3
33. 48
24
ⴢ3
ⴢ7
2-7 Greatest Common Factor Find the greatest common factor (GCF). 35. 35, 49
7
12
36. 36, 48, 60
37. 54, 18, 72, 36
18
38. A Sports Club is preparing welcome gifts. There are 65 golf balls, 39 baseballs, and 26 tennis balls. What is the greatest number of gifts the Sports Club can prepare using all of the golf balls, baseballs, and tennis balls? 13
2-8 Least Common Multiple Find the least common multiple (LCM). 39. 8, 10
40
40. 3, 8, 9
72
41. 2, 3, 4, 6
12
42. Charlie and Heather swam laps in the pool. Charlie completed one lap in 3 minutes and Heather completed one lap in 7 minutes. If they started swimming laps at the same time, in how many minutes will they finish a lap together? 21 minutes
Copyright © by Holt McDougal. All rights reserved.
65
Holt McDougal Mathematics
CHAPTER 2 REVIEW CONTINUED
2-9 Equivalent Fractions and Mixed Numbers Write each fraction as an improper fraction or a mixed number. 41 ᎏᎏ 14
13
43. 2 14
2ᎏ5 ᎏ 6
17 44. 6
15 45. 11
4 1ᎏ ᎏ 11
2
46. 37
23 ᎏᎏ 7
Determine whether the fractions in each pair are equivalent. 3
4
47. 7 and 9
no
9
12
4
yes
48. 6 and 8
12
yes
49. 5 and 15
2-10 Equivalent Fractions and Decimals Write each fraction as a decimal. 2
7 51. 20
50. 5 0.4
37 52. 50
0.35
5 53. 8
0.74
0.625
Write each decimal as a fraction in simplest form. 54. 0.075 3 ᎏᎏ 40
55. 1.15
56. 0.38
23 ⫺ᎏ ᎏ 20
19 ᎏᎏ 50
57. 2.8 14 ⫺ᎏ ᎏ 5
2-11 Comparing and Ordering Rational Numbers Compare the fractions. Write ⬍ or ⬎. 3
2 3
58. 5
6
59. 5
⬍
5
4
6
60. 7
⬍
5
9
⬍
Compare the decimals. Write ⬍ or ⬎. 61. 0.378
0.375
⬎
Copyright © by Holt McDougal. All rights reserved.
62. 0.19
0.919
⬎
63. 5.9
5.09
⬍
66
Holt McDougal Mathematics