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Note: Answers to the Cumulative Review can be found in the Supplemental Resources. Please visit http://openstaxcollege.org to view an updated list of the Learning Resources for this title and how to access them.

Chapter 1 whole numbers

No exercises.

Chapter 2 the language of algebra

Simplify:

1. 5 ( 3 + 2 · 6 ) 8 2

Solve:

2. 17 = y 13

3. p + 14 = 23

Translate into an algebraic expression.

4. 11 less than the product of 7 and x .

Translate into an algebraic equation and solve.

5. Twice the difference of y and 7 gives 84 .

6. Find all the factors of 72 .

7. Find the prime factorization of 132 .

8. Find the least common multiple of 12 and 20 .

Chapter 3 integers

Simplify:

9. | 8 9 | | 3 8 |

10. −2 + 4 ( −3 + 7 )

11. 27 ( −4 7 )

12. 28 ÷ ( −4 ) 7

Translate into an algebraic expression or equation.

13. The sum of −5 and 13 , increased by 11 .

14. The product of −11 and 8 .

15. The quotient of 7 and the sum of −4 and m .

16. The product of −3 and is −51 .

Solve:

17. −6 r = 24

Chapter 4 fractions

18. Locate the numbers on a number line. 7 8 , 5 3 , 3 1 4 , 5 .

Simplify:

19. 21 p 57 q

20. 3 7 · ( 28 45 )

21. −6 3 4 ÷ 9 2

22. −3 3 5 ÷ 6

23. −4 2 3 ( 6 7 )

24. −2 1 4 3 8

25. 7 · 8 + 4 ( 7 12 ) 9 · 6 2 · 9

26. 23 36 + 17 20

27. 1 2 + 1 3 3 4 1 3

28. 3 5 8 2 1 2

29. 2 3 r = 24

Chapter 5 decimals

Simplify:

30. 24.76 7.28

31. 12.9 + 15.633

32. ( −5.6 ) ( 0.25 )

33. $6.29 ÷ 12

34. 3 4 ( 13.44 9.6 )

35. 64 + 225

36. 121 x 2 y 2

37. Write in order from smallest to largest: 5 8 , 0.75 , 8 15

Solve :

38. −8.6 x = 34.4

39. Using 3.14 as the estimate for pi, approximate the (a) circumference and (b) area of a circle whose radius is 8 inches.

40. Find the mean of the numbers, 18 , 16 , 20 , 12

41. Find the median of the numbers, 24 , 29 , 27 , 28 , 30

42. Identify the mode of the numbers, 6 , 4 , 4 , 5 , 6 , 6 , 4 , 4 , 4 , 3 , 5

43. Find the unit price of one t-shirt if they are sold at 3 for $28.97 .

Chapter 6 percents

44. Convert 14.7% to (a) a fraction and (b) a decimal.

Translate and solve.

45. 63 is 35 % of what number?

46. The nutrition label on a package of granola bars says that each granola bar has 180 calories, and 81 calories are from fat. What percent of the total calories is from fat?

47. Elliot received $510 commission when he sold a $3,400 painting at the art gallery where he works. What was the rate of commission?

48. Nandita bought a set of towels on sale for $67.50 . The original price of the towels was $90 . What was the discount rate?

49. Alan invested $23,000 in a friend’s business. In 5 years the friend paid him the $23,000 plus $9,200 interest. What was the rate of interest?

Solve:

50. 9 p = −6 14

Chapter 7 the properties of real numbers

51. List the (a) whole numbers, (b) integers, (c) rational numbers, (d) irrational numbers,

(e) real numbers −5 , −2 1 4 , 4 , 0. 25 ¯ , 13 5 , 4

Simplify:

52. ( 8 15 + 4 7 ) + 3 7

53. 3 ( y + 3 ) 8 ( y 4 )

54. 8 17 · 49 · 17 8

55. A playground is 55 feet wide. Convert the width to yards.

56. Every day last week Amit recorded the number of minutes he spent reading. The recorded number of minutes he read each day was 48 , 26 , 81 , 54 , 43 , 62 , 106 . How many hours did Amit spend reading last week?

57. June walked 2.8 kilometers. Convert this length to miles knowing 1 mile is 1.61 kilometer.

Chapter 8 solve linear equations

Solve:

58. y + 13 = −8

59. p + 2 5 = 8 5

60. 48 = 2 3 x

61. 4 ( a 3 ) 6 a = −18

62. 7 q + 14 = −35

63. 4 v 27 = 7 v

64. 7 8 y 6 = 3 8 y 8

65. 26 4 ( z 2 ) = 6

66. 3 4 x 2 3 = 1 2 x 5 6

67. 0.7 y + 4.8 = 0.84 y 5.3

Translate and solve.

68. Four less than n is 13 .

Chapter 9 math models and geometry

69. One number is 8 less than another. Their sum is negative twenty-two. Find the numbers.

70. The sum of two consecutive integers is −95 . Find the numbers.

71. Wilma has $3.65 in dimes and quarters. The number of dimes is 2 less than the number of quarters. How many of each coin does she have?

72. Two angles are supplementary. The larger angle is 24 ° more than the smaller angle. Find the measurements of both angles.

73. One angle of a triangle is 20 ° more than the smallest angle. The largest angle is the sum of the other angles. Find the measurements of all three angles.

74. Erik needs to attach a wire to hold the antenna to the roof of his house, as shown in the figure. The antenna is 12 feet tall and Erik has 15 feet of wire. How far from the base of the antenna can he attach the wire?

No Alt Text

75. The width of a rectangle is 4 less than the length. The perimeter is 96 inches. Find the length and the width.

76. Find the (a) volume and (b) surface area of a rectangular carton with length 24 inches, width 18 inches, and height 6 inches.

Chapter 10 polynomials

Simplify:

77. ( 8 m 2 + 12 m 5 ) ( 2 m 2 7 m 1 )

78. p 3 · p 10

79. ( y 4 ) 3

80. ( 3 a 5 ) 3

81. ( x 3 ) 5 ( x 2 ) 3

82. ( 2 3 m 3 n 6 ) ( 1 6 m 4 n 4 )

83. ( y 4 ) ( y + 12 )

84. ( 3 c + 1 ) ( 9 c 4 )

85. ( x 1 ) ( x 2 3 x 2 )

86. ( 8 x ) 0

87. ( x 3 ) 5 ( x 2 ) 4

88. 32 a 7 b 2 12 a 3 b 6

89. ( a b −3 ) ( a −3 b 6 )

90. Write in scientific notation: (a) 4,800,000 (b) 0.00637

Factor the greatest common factor from the polynomial.

91. 3 x 4 6 x 3 18 x 2

Chapter 11 graphs

Graph:

92. y = 4 x 3

93. y = −3 x

94. y = 1 2 x + 3

95. x y = 6

96. y = −2

97. Find the intercepts. 2 x + 3 y = 12

Graph using the intercepts.

98. 2 x 4 y = 8

99. Find slope.

No Alt Text

100. Use the slope formula to find the slope of the line between the points ( −5 , −2 ) , ( 3 , 2 ) .

101. Graph the line passing through the point ( −3 , 4 ) and with slope m = 1 3 .

Questions & Answers

what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
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Damian Reply
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Daniel
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Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
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Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
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Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
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SUYASH Reply
for screen printed electrodes ?
SUYASH
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s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
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Cied
types of nano material
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I start with an easy one. carbon nanotubes woven into a long filament like a string
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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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