Revision Chapter 10

7/31/2019 Revision Chapter 10

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Revision chapter 10,11,12

Multiple ChoiceIdentify the choice that best completes the statement or answers the question.

1. Which of the quadratic functions has the narrowest graph?a.b.c.d.

2. Which of the quadratic functions has the widest graph?

a.b.c.d.

Solve the equation by factoring.

3. The expression ________ has the solutionx = 0.

a.alwaysb.sometimesc.never

4. Graph the set of points. Which model is most appropriate for the set?

(2, 10), (1,1), (1, 1), (2, 10)

a.

quadratic

c.

linear

b.d.

4 848 x

4

4

8

y

4 848 x

4

8

4

y

4 848 x

4

8

4

y

4 848 x

4

4

8

y


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quadraticexponential

Short Answer

5. Identify the vertex of the graph. Tell whether it is a minimum or maximum.

6. Order the group of quadratic functions from widest to narrowest graph.

, ,

7. Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function

.

8. Graph . Label the axis of symmetry and vertex.

9. Graph .

1 2 3 41234 x

1

2

3

4

1

2

3

4

y


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10. Graph .

11. Graph .

12. Solve by graphing the related function.

Solve the equation using square roots.

13. 7 + 6 = 13

14.

Solve the equation using the zero-product property.

15.

16.

17. Find the value ofx. If necessary, round to the nearest tenth.


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Solve the equation by factoring.

18.

19.

20.

21.

22.

23. The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length

and width of the playground.

x

x

= 53 sq. in.A


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24. Solve the cubic equation by factoring.

25. Find the value ofn such that is a perfect square trinomial.

Solve the equation by completing the square. Round to the nearest hundredth if necessary.

26.

27.

28.

29. 3

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

30.

31.

Use any method to solve the equation. If necessary, round to the nearest hundredth.


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32.

33.

34.

35.

Find the number of real number solutions for the equation.

36.

37.

38.

Simplify the radical expression.

39.

40.


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41.

42.

43.

44.

45.

Simplify the radical expression by rationalizing the denominator.

46.

47.

48. A square garden plot has an area of 24 ft2.


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a. Find the length of each side in simplest radical form.

b. Calculate the length of each side to the nearest tenth of a foot.

Simplify the expression.

49.

50.

51. (6 )(6 + )

52.

53.

54.

55.

56.

11 11


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57.

58. Find an exact solution for . Then find the approximate solution to the nearest tenth.

59. Determine whether is sometimes, always, or nevertrue.

Solve the equation. Check your solution.

60.

61.

62.

63.

64.


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65.

66.

67.

68.

69.

70. The velocity of sound in air is given by the equation where v is the velocity in meters per

second and tis the temperature in degrees Celsius. Find the temperature when the velocity of sound in air is369 meters per second. Round to the nearest degree.

Solve the equation. Identify any extraneous solutions.

71.

72. Find the domain of .


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Find the value ofx to the nearest tenth.

73.

74. a. Find the value of each variable to the nearest tenth.

b. Find the perimeter of the triangle to the nearest tenth.

75. Use to find the value of cosA.

x

6

57

55

21

a

c


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Simplify the rational expression.

76.

77.

78.

79.

80.

7

24

25

A

B

C


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81.

Multiply.

82.

83.

84.

85.

86.

87. Find the reciprocal of the expression.

Divide.

88.


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89.

90.

91.

92.

93.

94.

95.

96.

97.


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98.

99. A rectangle has an area ofx3 +x27x + 2 square meters and a width ofx2 meters. Find its length.

Add or subtract.

100.

101.

102.

103.

104.

105. Find the LCD of the pair of expressions.


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106.

107. Make a table of values and graph the quadratic function .

x(x,y)

108. Solve by graphing the related function.

x

y


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109. Simplify by rationalizing the denominator. Show your work.

110. Use a trigonometric ratio to show that c = 2a in the triangle below.

x

y

a

c

30


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Essay

111. Simplify . Show your work. Justify each step

112. Solve . Check your solution. If there is no solution, write no solution. Show your work.

113. Write and simplify the rational expression that represents the probability of randomly hitting the unshaded

region of the rectangle. Show all of your work.

114. Simplify the following expression. Show your work.

115. Simplify the following expression. Show your work.


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Revision chapter 10,11,12Answer Section MULTIPLE CHOICE

1. ANS: C

2. ANS: C

3. ANS: A

4. ANS: B

SHORT ANSWER5. ANS:

(0, 1); maximum

6. ANS: , ,

7. ANS: ; vertex:

8. ANS:

Axis of symmetry:

Vertex:

9. ANS:

2 4 6246 x

2

4

6

2

4

6

y

2 4 6246 x

2

4

6

2

4

6

y


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10. ANS:

11. ANS:

12. ANS:

There are two solutions: 2 and 2.

2 4 6246 x

2

4

6

2

4

6

y

2 4 6246 x

2

4

6

2

4

6

y

2 4 6246 x

2

4

6

8

10

12

2

4

6

8

10

y


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13. ANS:

14. ANS:no real number solutions

15.ANS: x = 4 orx =

16. ANS:n = 0 or n =

17. ANS:10.3 in.

18. ANS:z = 3 orz = 9

19. ANS: z = orz = 2

20. ANS:c = 0 or c = 4

21. ANS:

22. ANS:

23. ANS: length = 16 yd, width = 21 yd

24. ANS:

25. ANS:

26. ANS:5, 1

27. ANS:3.62, 6.62

28. ANS:1.19, 4.19

29. ANS 4, 2

30. ANS:9, 14

31. ANS:

1.82, 0.22

32. ANS:3.45, 1.16

33. ANS:2.71, 0.42

34. ANS:0.85, 0.85

35. ANS:

0.87, 0.87

36. ANS:

2

37. ANS:

2

38. ANS:0

39. ANS:

40. ANS:

41. ANS:

42. ANS:

43.ANS:

44. ANS:

45. ANS:

46. ANS:

47. ANS:

5

7

1

10

1

361

4

4 5


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48. ANS:

; 4.9 ft

49. ANS:

50. ANS:

51. ANS:25

52. ANS:

53. ANS:

54.ANS:

55. ANS:1,814,400

56. ANS:12

57. ANS:24

58. ANS:

59. ANS:sometimes

60. ANS:144

61. ANS:

116

62. ANS:5

63. ANS:x = 6 or 1

64. ANS:

x =

65. ANS:

x =

66. ANS:

x = 8

67. ANS:x = 2

68. ANS:

x =

69. ANS:

x = 2

70. ANS:

67C

71. ANS:

0 and 7 are solutions of the original equation.

72. ANS:

x

73. ANS:9.2

74. ANS:a = 30, c = 36.6, perimeter = 87.6

75. ANS:

76. ANS:

2 6

2

3

10

1

2

24

25


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77. ANS:

78. ANS:

79. ANS:x5

80. ANS:

81. ANS:

82. ANS:

83. ANS:

84. ANS:

85. ANS:

86. ANS:

87. ANS:

88. ANS:

89. ANS:

90. ANS:

91. ANS:

92. ANS:

93. ANS:

94. ANS:

95. ANS:

96. ANS:

97. ANS:

98. ANS:

99. ANS:x2 + 3x1 meters

100. ANS:

101. ANS:

102. ANS:

103. ANS:

104. ANS:


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105. ANS:6x7y4

106. ANS:35

107. ANS:

x(x,y)

00(0, 0)

23(2, 3)

3

108. ANS:

The equation has no real number solutions.

109. ANS:

110. ANS:

ESSAY

111. ANS:

112. ANS:

1 2 3 41234

x

1

2

3

4

5

6

7

1

y

2 4 6246

x

2

4

6

8

10

12

2

4

6

8

10

y


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Check

113. ANS:

P =

=

=

=

114. ANS:[

=

=

=

=

115. ANS:

= = =

Revision Chapter 10

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