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Week 19: Homework QUARTERLY EXAM 2 Review

Applying the Order of Operations

1. -12 2 + 33

2. 5(17 4) + 3((20 + 3) -4)

3. 5 1

3

+ ||

4. -3(| |+ 5)

Evaluating Expressions

Evaluate these expressions for x =3, y = -7, and z = 2.

5. 6x + 2z + 9y 6.

7. 3z 5(y + 4x) 8.

Translating Verbal Statements to Algebraic Sentences

Translate the following into algebraic expressions or equations into algebra.

9. The quotient of seven and a number is two.

10. Five less than a number is ten.

11. Six less than the product of a number and three is two.

12. Four times the difference of a number and five is equal to seven.

Prime Factorization

Find the prime factorization of each number.

13. 84

14. 250

15. 288

16. What is a prime number?

Greatest Common Factor

17. Find the Greatest Common Factor of 24 and 40.

18. Find the GCF of 55, 132, and 220.

19. Simplify this fraction:

20. Factor this expression: 84x 42

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Least Common Multiple

21. Find the Least Common Multiple of 12 and 20.

22. Find the LCM of 15 and 65.

23. What is the LCM of 9, 12, and 27?

24.Tim has soccer practice every fourth day, basketball practice every second day, and baseball practice every tenthday. If he attends all three today, how many days will it be until he has all three on the same day again?Real Numbers

For the questions 25 27 refer to this list for your answer choices:

I Whole Numbers II Irrational Numbers III Rational Numbers IV Integers V Natural Numbers

25. This following set contains which type of numbers? (3, 9, 11, -21, 29, 20, -16)

26. This following set contains which type of numbers? (-35, -17, -9, 2, 11, 2.5, 0, 20)

27. This following set contains which type of numbers? (-5, 1.75, 0, 0.2,

, ,

, |-5|, 999)

28. Which of the following numbers are irrational? (3.1, 3.14,

, , 3.1 , 3.14159)

Adding and Subtracting Integers

29. If the temperature in Alaska was -31 Celsius but increased by 22 Celsius, what is the new temperature?

30. In Buffalo, the temperature was ___F. The next morning, the temperature dropped 14 degrees to -11F. What was

the temperature?

31. What is the additive inverse property?

32. Evaluate: -14 14

Multiplying and Dividing Integers

Find the product.

33. 6 8

34. 17 4

Find the quotient.

35. 240 5

36. 800

40

Central TendencyThe following temperatures were recorded in Canada: -2, -7, -1, -4, 0, 2, 1, 1, 5, 13, -2, -1

37. Find the mean.38. Find the median.39. Find the range.40. Which measure is the most representative of this set of data?

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Simplifying Expressions

Simplify these expressions.

41. 11x + 4 6x 3

42. 5x 4 8x + 4

43. 9x + 6 4x 15 + 2x

44. -3(5x 12 9x + 7)

Number Properties

Which properties are represented by each of the following equations?

45. 21 + (1 + 19) = (21 + 1) + 19 46. 14 + (-14) = (-14) + 14

47. 4,334 + 0 = 4,334 48. 6(3n 8) = 18n 48

Square Roots

Find the square roots.

49. 50.

Which two consecutive whole numbers are the following square roots between?

51. 52.

Fractions, Decimals, and Percents

Find the equivalent decimal and percent.

53.

54.

55. Drea surveyed 60 students in her school about their favorite sports. The fraction of students who preferred baseball

was 40/60. What percent of students did not prefer baseball?

56. Places the following set of numbers in order from least to greatest.

-

, -

,

, 0.6,

,

,

, -0.666

Placing Rational Numbers on a Number Line

57. For the above number line, what value does point w represent?

58. For the above number line, what value does point x represent?

59. For the above number line, what value does point y represent?

60. For the above number line, what value does point z represent?

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Adding/Subtracting Fractions

Find the sum or difference.

61.3

2

8

5 62. 3

2

1

5

22

63.

7

3

10

3 64. 3

4

3

3

15

Multiplying/Dividing Fractions

65.3

2

8

3 66. 4

2

1

5

34

67.4

3

3

2 68. 4

2

1

4

31

Adding/Subtracting Decimals

69. Add: 12.98 + 66.37 + 25.344 70. Add: 13.029 + 37.038

71. Subtract: 39.72 27.795 72. Subtract: 3.381 4.392

Multiplying/Dividing Decimals

73. Find the product: 0.057 0.06

74. Nina is buying a fruit basket that weighs 1.63 pounds. If the price of a fruit basket is about $1.87 per pound, what

should Nina pay?

75. Divide: 3.728 1.3

76. A package of paper is 1.14 inches thick. If each sheet is 0.002 inch thick, how many sheets are in the package?

Polynomials

77. What is a polynomial? What is not a polynomial?

78. How many terms are in the following expression? x2

+ 4x 9

79. How many terms are in the following expression? -2yz3

+ 7yz 2z + 9

80. In the following expression, which number is a coefficient? 3x2 9

Simplifying Polynomials

Simplify the following expressions.

81. -4x + 7 4x 9 + 9x 82. 5 4(7x 16)

83. x21(5

2)11

84. x

3

2x

5

3

Adding Polynomials

Simplify the following expressions.

85. (-5x + 7) (2x 7) 86. (-12x2

+ 4x - 5) + (13x2

- 8x - 3)

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87. (6x2

+ 2x + 10) (-4x2 3x + 17)

88. ( x5

2

5

1 ) + ( x

4

1

8

3 )

Monomials

89. Factor: 60X2Y

390. Find the GCF of 75a

3b

2and 125a

5bc

91. Simplify: (3x2)3

92. Simplify: (-7x)(5x3)

Solving Equations

Solve these equations.

93. x 19 = -37 94. 2k 14 = -38

95. 6(n 6) = -6 96. -4n 4 = -4

Solving Equations with decimals and or fractions

Solve.

97. 0.4a 60 = -50 98. 0.125x 10 = 15

99.5

42

3

2 x 100.

5

2

4

1

3

2y

Solving Multi-Step Equations

101. If the perimeter of the rectangle is 118 cm, find the area.

102. 3a + 6(3a 4) 2(5a + 3) = 10

Multi-Step Fraction Problems

103.3

2

8

3

5

1

104. (8

5

3

1 ) + (

8

11 2 )

105. (4

3

3

2 ) - (

5

32 ) 106. (

8

7

4

3 ) +

4

1(

2

13

8

1 )

Inequalities

107. Which inequality does this graph refer to?

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108. Graph x 3 > -4 109. Graph X 2 < -5?

110. Solve this inequality: -2x 14 < -6

Proportions

111. What is a direct proportion?

112. Solve the proportion:

=

113. Solve the proportion:

=

114. How do you find the value of a missing side for two similar shapes?

Percents

115. 24 is what percentage of 80?

116. Kerry ate at a diner. The bill was for $13.99. She wanted to leave a 20% tip. About how much should she leave?

117. What is 9% of 225? 118. 54 is 15% of what number?

Unit Rate

119. If you can buy 10 postcards for $2.50, how many can you buy $9?

120. If Ibrahim fills 112 glasses with 14 liters of rainwater, how many glasses can be filled with 20 liters?

121. If an old lady can run 48 feet in 8 seconds, how far could she run in 15 seconds?

122. What is the average speed of a vehicle that has traveled 225 miles in 2.5 hours?

Conversion

123. Tim buys 3.75 liters of soda for a party. How many milliliters is this?

124. How many cups are in 7 gallons?

125. 14 pints is how many gallons?

126. I need 5.5 gallons of gas. I currently have 50 cups of gas. How many more cups do I need?