In Exercises 30 33, Find the Sum

Name______Date______

Part A

In Exercises 24–29, evaluate the function for the given value of x.

24.

25.

26.

27.

28.

29.

In Exercises 30–33, find the sum.

30.

31.

32.

33.

In Exercises 34–37, find the difference.

34.

35.

36.

37.

In Exercises 38–43, find the product.

38. 39.

40. 41.

42. 43.

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In Exercises 44–49, find the product of the binomials.

44. 45.

46. 47.

48. 49.

In Exercises 50–55, find the product of the binomials.

50. 51.

52. 53.

54. 55.

In Exercises 56–61, divide the polynomials.

56. 57.

58. 59.

60. 61.

In Exercises 80–85, solve the equation.

80. 81. 82.

83. 84. 85.

In Exercises 86–91, find the zeros of the function.

86. 87.

88. 89.

90. 91.

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Part B

51. The length (in feet) of a fence around a rectangular garden is and the width (in feet) is

a.Write an equation for the perimeter p of the fence.

b.Write an equation for the area a of the fence.

c.The perimeter of the fence is 76 feet. Find the dimensions of the length
and the width.

d.What is the area of the fence?

In Exercises 52–61, solve the quadratic equation by factoring.

52. 53.

54. 55.

56. 57.

58. 59.

60. 61.

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In Exercises 62–69, use the Quadratic Formula or completing the square to solve the equation.

62. 63.

64. 65.

66. 67.

68. 69.

In Exercises 70–77, find all the zeros of the function.

70. 71.

72. 73.

74. 75.

76. 77.

94. You are playing baseball. The ball follows a parabolic path modeled by the equation where x represents the time (in seconds) after the ball is hit
and y represents the height of the ball (in feet) from the ground.

a.How high is the ball after 3 seconds?

b.After how many seconds does the ball hit the ground?

c.What was the original starting height of the ball? What does this mean,
according to the situation described?

d.What is the maximum height that the ball reaches?

Part C

In Exercises 92–106, solve the equation. Check your solutions.

92. 93. 94.

95. 96. 97.

98. 99. 100.

101. 102. 103.

104. 105. 106.

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In Exercises 107–116, add or subtract. Write the answer in standard form.

107. 108.

109. 110.

111. 112.

113. 114.

115. 116.

In Exercises 117–126, multiply. Write the answer in standard form.

117. 118.

119. 120.

121. 122.

123. 124.

125. 126.

Part D

In Exercises 64–75, find the discriminant of the quadratic equation and describe the number and type of solutions of the equation.

64. 65. 66.

67. 68. 69.

70. 71. 72.

73. 74. 75.