final exam - test bank (for review) name: date€¦ · page 7 final exam - test bank (for review)...

Final Exam - Test Bank (for review)

Name: Date:

1. In the figure below, a pole has two wires attachedto it, one on each side, forming two right triangles.

Based on the given information, answer thequestions below.

a) How tall is the pole?

b) How far from the base of the pole doesWire 2 attach to the ground?

c) How long is Wire 1?

page 1

2. Which graph displays the function f (x) = (2x + 3)(x − 2)?

A. B.

C. D.

page 2 Final Exam - Test Bank (for review)

3. Which equation has exactly one real solution?

A. 4x2 − 12x − 9 = 0 B. 4x2 + 12x + 9 = 0

C. 4x2 − 6x − 9 = 0 D. 4x2 + 6x + 9 = 0

4. Which transformation will carry the rectangleshown below onto itself?

A. a reflection over line m

B. a reflection over the line y = 1

C. a rotation 90◦ counterclockwise about theorigin

D. a rotation 270◦ counterclockwise about theorigin

5. What is the domain of f (x) = −2x3 + x2 + 1?

A. the set of all real numbers

B. {x | −3 < x < 2}

C. {x | −2 < x < 3}

D. the empty set


6. Which statement must be true about the trianglebelow?

A. PQ + QS = PR + RT

B. ^PQR ∼= ^PST

C. ST = 2 · QR

D. ∠S ∼= ∠T

7. Triangle EGF is graphed below.

Triangle EGF will be rotated 90◦ counterclockwisearound the origin and will then be reflected acrossthe y-axis, producing an image triangle. Whichadditional transformation will map the imagetriangle back onto the original triangle?

A. rotation 270◦ counterclockwise around theorigin

B. rotation 180◦ counterclockwise around theorigin

C. reflection across the line y = −x

D. reflection across the line y = x

8. In which direction is the graph of f (x) =5

x + btranslated when b increases?

A. left B. right C. up D. down


9. Which expression is equivalent to(3x5 + 17x3 − 1

)+(−2x5 − 6

)?

A. x5 + 17x3 − 7 B. x5 − 11x3 − 1

C. 5x5 + 17x3 + 7 D. −6x5 + 17x3 + 6

10. In which direction does the graph of y= (x+2)12 +c

shift as c decreases?

A. right B. left C. up D. down

11. The area of a rectangular window is(4x2 − 21x − 18). Both the length and the widthare polynomials with integer coefficients. Whichof the following could represent the length of thewindow?

A. 4x + 6 B. 4x + 3 C. x + 6 D. x + 3

12. Which equation represents the graph of y = x2

translated 1 unit right and 2 units down?

A. y = −(x − 1)2 − 2 B. y = (x − 1)2 − 2

C. y = −(x + 1)2 + 2 D. y = (x + 1)2 − 2

13. What are the zeros of f (x) = x2 + 7x + 5?

A.

{7 ± 2

√5

2

}B.

{−7 ± 2

√5

2

}

C.

{7 ±√

29

2

}D.

{−7 ±

√29

2

}

14. Parallelogram ABCD was translated toparallelogram A’B’C’D’.

How many units and in which direction were thex-coordinates of parallelogram ABCD moved?

A. 3 units to the right B. 3 units to the left

C. 7 units to the right D. 7 units to the left


15. The vertices of triangle FGH are F(−5, 1),G(−2, 4), and H(−1, 2). The vertices oftriangle F′G′H′ are F′(−5,−1), G′(−2,−4),H′(−1,−2).

Identify the transformation of triangle FGH totriangle F′G′H′

A. a translation across the x-axis

B. a rotation

C. a reflection across the x-axis

D. a dilation

16. Which type of transformation is represented by thefigures in the graph?

A. reflection and translation

B. reflection

C. rotation

D. dilation and rotation


17. Which of the following describes the transformationfrom figure A to figure B on the grid below?

A. reflection across the x-axis

B. reflection across the y-axis

C. rotation about point (0, 0)

D. translation 6 units right

18. Karin used a single transformation of trapezoid Pto create the image Q on the coordinate planeshown below.

Which of the following could describe thetransformation that Karin used?

A. reflection over the x-axis

B. reflection over the y-axis

C. translation down

D. translation up


19. Lainey drew Figure P on a coordinate grid. Thenshe did a one-step transformation of Figure P todraw Figure Q, as shown below.

Which of the following one-step transformationsof Figure P could Lainey have done to drawFigure Q?

A. reflection over the x-axis

B. reflection over the y-axis

C. rotation 180◦ clockwise

D. translation to the right

20. The diagram below shows−−−XY and its image

−−−−−X′Y ′

after a single transformation.

Which of the following describes thetransformation?

A. rotation 90◦ clockwise about the origin

B. translation 4 units to the right

C. reflection over the x-axis

D. reflection over the y-axis


21. Which choice best describes the transformationshown in the drawing?

A. reflection over x-axis

B. reflection over y-axis

C. translation so (x, y) maps to (x − 8, y)

D. translation so (x, y) maps to (x, y − 8)

22. What value of h is needed to complete the squarefor the equation x2 + 10x − 8 = (x − h)2 − 33?

A. −25 B. −5 C. 5 D. 25

23. Which expression describes the translation of apoint from (−3, 4) to (4,−1)

A. 7 units left and 5 units up

B. 7 units right and 5 units up

C. 7 units left and 5 units down

D. 7 units right and 5 units down

24. Use the illustration below to answer the followingquestion.

As a result of a transformation, the image of thepoint A(2, 1) is A1(1, 2). This transformation isdescribed as a reflection across the

A. line y = x. B. line y = −x.

C. x-axis. D. y-axis.


25. Which transformation maps the solid figure A ontothe dashed figure B?

A. Rotation 180◦ about the origin

B. Translation to the right and down

C. Reflection across the x-axis

D. Reflection across the y-axis

26. The figure below shows two triangles, labeled 1and 2.

Which one of the following describes a way tomove triangle 1 so that it completely coverstriangle 2?

A. Turn (rotate) 180 degrees about point P.

B. Flip (reflect) over line l.

C. Slide (translate) 5 units to the right followedby 8 units down.

D. Flip (reflect) over line m.


27. You may want to use the following coordinateplane to help you answer the following question(s).

As the result of a transformation, the image of thepoint (−1, 3) is (−3, 1). This is an example of areflection across the

A. line y = x. B. line y = −x.

C. x-axis. D. y-axis.

28. Point P has coordinates (2, 5). After a translation,the coordinates of its image P′ are (4,−1).

Which of the following best describes thetranslation?

A. right 1 unit, down 4 units

B. right 2 units, down 4 units

C. right 2 units, down 6 units

D. right 4 units, down 1 unit

29. The coordinates of the endpoints of−−−ST and its

image−−−−S′T ′ are given below.

S(2,−4) S′(−2,−4)

T(−1, 1) T ′(1, 1)

Which of the following single transformationsmaps

−−−ST to

−−−−S′T ′?

A. translation 4 units to the left

B. rotation 180◦ clockwise about the origin

C. reflection over the x-axis

D. reflection over the y-axis

30. The coordinates of four points are given below.

A(3, 3) A′(−3, 3) B(4,−4) B′(4, 4)

Which of the following transformations maps−−−AB

to−−−−A′B′?

A. reflection across the x-axis

B. reflection across the y-axis

C. 90◦ counterclockwise rotation about the origin

D. 180◦ counterclockwise rotation about theorigin


31. Use shape J to answer the following question

A shape was moved from Position A to Position B,as shown below.

Which of the following best describes how theshape was moved from Position A to Position B ?

A. flipped over the line, then slid up

B. flipped over the line, then slid down

C. flipped over the line, then turned 90◦

clockwise

D. flipped over the line, then turned 90◦

counterclockwise

32. Which of the following describes the transformationfrom Figure 1 to Figure 2 shown on the graphbelow?

A. translation 2 units down and 5 units right

B. translation 2 units down and 2 units right

C. translation 1 unit up and 2 units right

D. translation 5 units up and 2 units left


33. ÂBC and ^DEF are shown on the grid below.

Which of the following transformations will mapÂBC onto ^DEF?

A. Reflect ÂBC over the y-axis and shift up6 spaces.

B. Reflect ÂBC over the x-axis and shift up6 spaces.

C. Reflect ÂBC over the y-axis and shift down6 spaces.

D. Reflect ÂBC over the y-axis, reflect over thex-axis, and shift down 4 spaces.

34. The figure on the grid below was translated fromposition I to position II.

Which best describes how the figure was translatedfrom position I to position II?

A. Right 2 units and down 5 units

B. Right 2 units and down 4 units

C. Down 3 units and right 2 units

D. Down 5 units and right 1 unit


35. The graph below illustrates a translation.

Which statement describes the relationship of thepre-image and image?

A. The original diagram was moved 6 units tothe right and 2 units down.

B. The original diagram was moved 7 units tothe left and 4 units up.

C. The original diagram was moved up 2 unitsand 6 units to the left.

D. The original diagram was rotated 90 degreescounterclockwise.

36. Under which transformation will the image be adifferent size than the original figure?

A. reflection B. translation

C. rotation D. dilation

37. Miss Alvarado asked her students to createreflections of various shapes.

Which description explains the motion that thestudents should perform?

A. Rotate the shapes around a point

B. Slide the shapes along a straight line

C. Turn the shapes around a point

D. Flip the shapes over a line

38. Which of the following explains how to create atranslation?

A. Move the figure in a specified direction.

B. Enlarge or reduce the figure.

C. Flip the figure across a line.

D. Turn the figure about a point.


39. Trapezoid ABCD below is to be translated totrapezoid A’B’C’D’ by the following motion rule.

(x, y)→ (x + 3, y − 4)

What will be the coordinates of vertex C′?

A. (1,−3) B. (2, 1)

C. (6, 1) D. (8,−3)

40. Given the original point (x, y) choose the rule forthe translation “4 right, 3 down.”

A. (x − 3, y + 4) B. (x + 3, y + 4)

C. (x + 4, y − 3) D. (x − 4, y + 3)


41. Quadrilateral ABCD, shown in the coordinate plane below, is dilated with the center at the origin to formquadrilateral EFGH. What is the scale factor of the dilation?

A. 14 B. 1

3 C. 3 D. 4


42. Tom draws a triangle on a coordinate plane. Itsvertices are (−1, 0), (0, 1), and (1, 0). He thendilates the figure, making its new coordinates(−3, 0), (0, 3), and (3, 0).

What scale factor did Tom use?

A. 13 B. 1

2 C. 2 D. 3

43. Triangle PQR is shown.

What are the coordinates of P′ when ^PQR isdilated by a scale factor of 3 using the origin asthe center?

A. (6, 18) B.

(3,

2

3

)

C.

(2

3, 3)

D. (18, 6)


44. Given ^DEF, which figure illustrates a dilation with a scale factor of 12?

A. B.

C. D.


45. If quadrilateral ABCD is dilated with a scale factor of 3, which of the following would be the result?

A. B.

C. D.


46. Sherry drew ^PQR and line m, as shown on thegrid below.

Sherry will reflect ^PQR over line m. What willbe the coordinates of the image of point R after^PQR is reflected over line m?

A. (5, 6) B. (6, 9) C. (7, 6) D. (9, 6)

47. If WXYZ were rotated 180◦ about point Z, whatwould be the coordinates of point Y′?

A. (−5, 1) B. (5, 1)

C. (−5,−1) D. (5,−1)


48. Using the diagram below, how are these twotriangles are related?

A. similar B. congruent

C. different D. symmetric

49. Using the graph below, which figures arecongruent?

A. Figures A & B B. Figures B & C

C. Figures C & D D. Figures B & D

50. Triangle LMN and triangle EFG are similartriangles. Triangle EFG is shown on the gridbelow. If the coordinates of point L are (4, 3) andthe coordinates of point M are (4, 7), what are thecoordinates of point N?

A. (8, 3) B. (4, 6) C. (7, 3) D. (7, 2)

51. The following diagram shows a dilation.

Which proportion could be used to determine thelength of side x ?

A. 128 = x

6 B. 812 = 6

x

C. 126 = x

8 D. 612 = x

8


52. Two angles of a triangle add up to 65◦. What isthe measure of the third angle?

A. 25◦ B. 55◦ C. 115◦ D. 295◦

53.

Triangle LMN is a right triangle, and angles L andN are equal. What is the measure of angle L?

A. 25◦ B. 45◦ C. 70◦ D. 90◦

54. Nina made a triangle by cutting the corner off asheet of paper.

One angle is 45◦. What is the measure of thethird angle of Nina’s triangle?

A. 30◦ B. 45◦ C. 55◦ D. 60◦

55. Andrew constructed a triangle so that ∠1 and ∠2were the same size and ∠3 measured 80◦.

What is the measure of ∠1?

A. 50◦ B. 60◦ C. 80◦ D. 100◦


56. What is the measure of angle R?

A. 17◦ B. 29◦ C. 31◦ D. 39◦

57. In this triangle, what is the measure of ∠C?

A. 32◦ B. 42◦ C. 58◦ D. 122◦

58. What is the sum of the measures of all the interiorangles of a triangle?

A. 120◦ B. 180◦ C. 240◦ D. 360◦

59. What is the measure of ∠B in the figure below?

A. 34◦ B. 56◦ C. 62◦ D. 68◦

60. In ^PQR shown below,−−−PR ∼=

−−−PQ and

m∠P = 50◦.

What is m∠Q ?

A. 25◦ B. 50◦ C. 65◦ D. 80◦


61. The triangle below is isosceles.

not drawn to scale

Which of the following could be the measure ofone of the other angles in this triangle?

A. 20◦ B. 40◦ C. 60◦ D. 110◦

62. The sum of the measures of the three angles in atriangle is 180◦.

What is the measure of one angle in an equilateraltriangle?

A. 30◦ B. 60◦ C. 90◦ D. 120◦

63. Triangle ABC is shown below.

What is the measure of angle C?

A. 40◦ B. 90◦ C. 100◦ D. 140◦

64. What is m∠x?

A. 35◦ B. 60◦ C. 85◦ D. 95◦

65.

In ^ABC, the measure of ∠A is

A. 25◦. B. 40◦. C. 45◦. D. 50◦.


66. Use the diagram below to answer the question.

Which statement about the value of angle x istrue?

A. The value of angle x is 68◦, because180◦ − 112◦ = 68◦.

B. The value of angle x is 114◦, because theaverage of 112◦ and 116◦ is 114◦.

C. The value of angle x is 132◦, because360◦ − (112◦ + 116◦) = 132◦.

D. The value of angle x is 223◦, because112◦ + 116◦ = 228◦.

67. Use the diagram to answer the question.

What is the measure of d?

A. 45◦ B. 90◦ C. 135◦ D. 315◦

68. The diagram below shows three intersecting lines.

Based on the measurements in the diagram, whatis x ?

A. 65◦ B. 80◦ C. 100◦ D. 115◦

69. What is the measure of ∠1 in the figure below?

(Not drawn to scale)

A. 41◦ B. 65◦ C. 102◦ D. 115◦


70. In the drawing, what is the measure of angle y ?

A. 40 B. 60 C. 80 D. 100

71. Which pair of figures appears to be similar?

A.

B.

C.

D.

72. Use the diagram below to answer the followingquestion.

Which of the following rectangles is similar torectangle DEFG?

A.

B.

C.

D.


73. If ÂBC ∼ ÊDF, which of the followingcompletes this proportion?

ABED

=AC?

A. EF B. DF C. BC D. ED

74. Donna’s beach bag is similar to her sister Sally’s.The figures below show some of the measurements.

Which proportion could be used to find the widthof Sally’s beach bag?

A.18

36=

w25

B.18

25=

w36

C.25

36=

18

wD.

36

w=

18

25

75. The triangles shown below are similar.

The scale factor from the large triangle to thesmall triangle is 3 : 1. What is the length of side xof the smaller triangle?

A. 10 B. 14 C. 72 D. 90

76. ÂBC is similar to ^DEF. What is the lengthof−−−DF ?

A. 2 meters B. 3 meters

C. 5 meters D. 10 meters


77. Pentagon ABCDE is similar to pentagon NPQLM,as shown below.

What is the measure of angle N?

A. 60◦ B. 75◦ C. 100◦ D. 120◦

78. Triangle PQR is similar to triangle JKL(^PQR ∼ ^JKL). The triangles are not drawn toscale.

What is the value of x?

A. 150 B. 100 C. 58 D. 50

79. Which theorem can be used to prove that thetriangles in the figure below are congruent?

A. side-by-side (SSS)

B. side-angle-side (SAS)

C. angle-side-angle (ASA)

D. angle-angle-side (AAS)

80. Which principle of congruence could be used toprove triangle RST is congruent to triangle XYZ?

A. Side-Side-Side (SSS)

B. Side-Angle-Side (SAS)

C. Angle-Side-Angle (ASA)

D. Side-Side-Angle (SSA)


81. Based on the diagram below, which of thesearguments is valid?

A. The triangles are congruent by side-side-side(SSS).

B. The triangles are congruent by side-angle-side(SAS).

C. The triangles are congruent by angle-side-angle(ASA).

D. The triangles are congruent by angle-angle-side(AAS).

82. Given:−−−AB and

−−−CD intersect at point E;

∠1 ∼= ∠2

Which theorem or postulate can be used to prove^AED ∼ ^BEC?

A. AA B. SSS C. ASA D. SAS

83. What is the value of x in the right triangle shownbelow?

A. 8 feet B. 12 feet

C. 18 feet D. 23 feet


84.

What is the value of x in the triangle shownabove?

A. 11 B. 13 C. 17 D. 169

85. The escalator shown below is 109 feet long andmakes an angle of 10◦ with the floor.

Note: The figure is not drawn to scale.

Which trigonometric ratio should be used to findthe height (h) of the escalator?

A. sin 10◦ =h

109B. cos 10◦ =

h109

C. sin 10◦ =109

hD. cos 10◦ =

109

h

86. An object dropped from the top of the LeaningTower of Pisa lands 17 feet from the base.


Which of these equations should be used todetermine the angle (x) that the Leaning Tower ofPisa makes with the ground?

A. cos x =17

179B. cos x =

179

17

C. sin x =17

179D. sin x =

179

17


87. The angle of elevation from point G on the groundto the top of a flagpole is 20◦. The height of theflagpole is 60 feet.

Which equation could find the distance frompoint G to the base of the flagpole?

A. sin 20◦ =x60

B. sin 20◦ =60

x

C. tan 20◦ =60

xD. tan 20◦ =

x60

88. Tawana is flying her kite, which is at the end of a100-ft string. The angle the string makes with theground is 50◦.

Which equation below can be used to find theheight, x, of the kite above the ground?

A. cos 50◦ =x

100B. sin 50◦ =

x100

C. sin 50◦ =100

xD. tan 50◦ =

x100

89. A ladder leaning against a house is shown below.


What is the distance (x) from the base of theladder to the house? Round the answer to thenearest foot.



90. Right triangle JKL is shown below.


What is the measure of ∠J? Round the answer tothe nearest degree.

A. 34◦ B. 42◦ C. 48◦ D. 56◦


91. From a point 125 feet from the base of a building,the angle of elevation from the ground to the topof the building is 50◦.


What is the height (h) of the building? Round theanswer to the nearest foot.



92. Triangle ABC is shown below.

What is the cosine of angle B?

A. 35 B. 4

5 C. 54 D. 5

3

93. Study the triangle below.

What is the cosine of ∠X?

A.5

6B.

√11

6C.

√11

5D.

6

5

94. A 13-foot ladder is leaning against a brick wall.The top of the ladder touches the wall 12 feet (ft)above the ground. The bottom of the ladder is 5 ftfrom the bottom of the wall. What is the sine ofthe angle formed by the ground and the base ofthe ladder?

A. 512 B. 5

13 C. 1213 D. 13

5


95. Which graph represents the equation below?

y = −2x + 1

A.

B.

C.

D.


96. In which graph do all of the plotted points lie on the line y = x + 2?

A. B.

C. D.


97. Which graph represents the equation y = x − 2.

A.

B.

C.

D.


98. Which graph below represents a function?

A. B.

C. D.


99. Which graph does not represent a function?

A.

B.

C.

D.

100. Which graph shows a function?

A.

B.

C.

D.


101. Which graph represents a function of x?

A.

B.

C.

D.

102. Which graph represents a function?

A.

B.

C.

D.


103. Which of the following best represents the graph of y = |x − 1| + 2 ?

A. B.

C. D.


104. Which graph represents the function y = |x| + 2

A. B.

C. D.


105. Which of the following represents the graph of the equation below?

y = x2 − 4

A. B.

C. D.


106. Which of the following represents the graph of the equation below?

y = −x2 + 2

A. B.

C. D.


107. Which of the following is the graph of y = 14x

2?

A. B.

C. D.


108. Which graph best represents y = (x + 2)2 − 3?

A. B.

C. D.


109. Which graph represents the function y = −(x − 2)2 + 3?

A. B.

C. D.


110. What is the graph of the equation?

y = x2 − 4x + 4

A. B.

C. D.


111. Which graph could represent the solution set of y =√x − 4?

A. B.

C. D.


112. What are the real roots of the function in thegraph?

A. 3 B. −6

C. −1 and 3 D. −6, −1, and 3

113. Look at the function that is graphed below.

What are the maximum and minimum values ofthis function?

A. maximum 15, minimum −5

B. maximum 25, minimum −15

C. maximum 25, minimum −10

D. maximum 30, minimum −10


114. Look at the graph below.

Which of these terms describes the y-coordinate ofthe point (2, 6)?

A. zero B. intercept

C. minimum D. maximum

115. Sam graphs the function f (x) = (x − 6)2 + 5.

The graph of the function is shown.

What is the vertex of Sam’s graph?

A. (−6, 5) B. (5, 6) C. (6, 5)


116. For which equation graphed below are all they-values negative?

A.

B.

C.

D.


What is the range of this function?

A. −4 ≤ y ≤ 5 B. −3 ≤ y ≤ 3

C. −2 ≤ y ≤ 3 D. −4 ≤ y ≤ −1

118.

What is the domain of this function?

A. 0 ≤ x ≤ 5 B. 0 ≤ x ≤ 8

C. 0 ≤ y ≤ 1 D. 0 ≤ y ≤ 6



Which of these describes the range of thisfunction?

A. y ≥ 0 B. 0 ≤ y ≤ 5

C. all real numbers D. all whole numbers

120. Look at this graph of a function.

What is the domain of the function?

A. all real numbers

B. all real numbers greater than or equal to 0

C. all real numbers between 0 and 4

D. all real numbers between −2 and 2

121. Given y = x2, how would the graph of y = x2 − 2differ?

A. It shifts 2 units up.

B. It shifts 2 units down.

C. It shifts 2 units left.

D. It shifts 2 units right.

122. The coordinate plane below shows the graphs ofFunction A and Function B.

Which of these translations maps Function A ontoFunction B?

A. Function A is translated 1 unit left and2 units up.

B. Function A is translated 2 units right and1 unit up.

C. Function A is translated 2 units left and1 unit down.

D. Function A is translated 1 unit right and2 units down.


123. In which direction must the graph of y =1

xbe

shifted to produce the graph of y =1

x + 2?

A. up B. down C. right D. left

124. What translations should be applied to the graph

of y =4

xto produce the graph of y =

4

x − 5+ 3?

A. a shift 5 units to the right, and then a shift3 units down

B. a shift 5 units to the right, and then a shift3 units up

C. a shift 5 units to the left, and then a shift3 units up

D. a shift 5 units to the left, and then a shift3 units down

125. How does the graph of f (x) = 2x + 10 change ifthe function is changed to f (x) = −2x + 10?

A. The graph does not change at all.

B. The y-intercept would be different, but theslope would remain the same.

C. The slope would be different, but they-intercept would remain the same.

D. Both the y-intercept and the slope of thegraph would change.

126. If the equation y = x + 3 is changed to y = x + 6,how will the graph of the line change?

A. It will shift 3 units to the right of the graphof y = x + 3.

B. It will shift 6 units to the right of the graphof y = x + 3.

C. It will shift 3 units up from the graph ofy = x + 3.

D. It will shift 6 units up from the graph ofy = x + 3.

127. Study the graph of y = x2, shown below.

If the graph is moved up 3 units, what equationwill it represent?

A. y = x2 + 3 B. y = (x + 3)2

C. y = (x − 3)2 D. y = x2 − 3


128. The graph of the line y = 2x is shown below.

If the line is translated 2 units up, which of thesewill be its new equation?

A. y =1

2(x + 2) B. y =

1

2x + 2

C. y = 2x + 2 D. y = 2x − 2

129. The graph of y = ax2 is shifted up 3 units andright 5 units. Which equation represents theresulting graph?

A. y = a(x − 5)2 + 3 B. y = a(x + 5)2 + 3

C. y = a(x − 3)2 + 5 D. y = a(x + 3)2 + 5

130. The graph of a quadratic function is shown below.

Which appears to be the solution set for thisfunction?

A. {2, 4} B. {−2, 4}

C. {−4, 2} D. {−4,−2}


131. The graph of y = x2 − 9 is shown.

For what values of x does x2 − 9 = 0?

A. x = 2 and x = −2 B. x = 3 and x = −3

C. x = 4.5 and x = 0 D. x = −9 and x = 0

132. Simplify.

(x2 − 3x + 1) − (x2 + 2x + 7)

A. x − 6 B. −x + 8

C. −5x − 6 D. 2x2 − x + 8

133. Which of the following expressions is equivalentto the one shown below?

(b3 + 5b2 − 2b) − (b3 + b − 1)

A. 5b2 − b B. 5b2 − 3b + 1

C. 4b2 − b D. 5b2 − 3b − 1

134. Which of the following is equivalent to theexpression below?

(3x + 6y) + (2x − y)

A. 5x − y B. 5x + 7y

C. 6x − 6y D. 5x + 5y


2a(3a − 4)

A. 6a − 4 B. 6a − 8

C. 6a2 − 4a D. 6a2 − 8a

136. Multiply:

2x(3x + 1)

A. 6x + 1 B. 6x + 6

C. 6x2 + 2 D. 6x2 + 2x



−2a(3 − a)

A. −5a B. −7a

C. −6a − 2a2 D. −6a + 2a2

138. Simplify: (x + 7)(x − 4)

A. 2x + 3 B. x2 − 28

C. x2 − 3x − 28 D. x2 + 3x − 28

139. What is the missing term in the quadraticexpression below?

(2x − 3)(x + 4) = 2x2 + − 12


(m + 1)(m + 5)

A. 2m + 6 B. m2 + 5

C. m2 + 5m + 6 D. m2 + 6m + 5

141. Which polynomial is equivalent to (2y − 3)2 ?

A. 4y2 + 6y − 9 B. 4y2 − 12y + 9

C. 4y2 + 9 D. 4y2 − 9

142. Which of the following expressions is equivalentto the one shown below?

(x − 3)(2x + 5)

A. 2x2 − x − 15 B. 2x2 − 15

C. 2x2 + 11x − 15 D. 2x2 + 2

143. Which of the following is one of the factors ofthe expression below?

4x2 − 25

A. (4x − 5) B. (2x + 1)

C. (4x − 1) D. (2x − 5)

144. What is the factored form of the expression below?

x2 − 16

A. (x − 4)(x + 4) B. (x − 8)(x + 8)

C. (x − 4)(x − 4) D. (x − 8)(x − 8)


145. Which of the following shows the expressionbelow in factored form?

x2 + 2x − 8

A. (x − 2)(x + 4) B. (x + 2)(x + 4)

C. (x − 1)(x + 8) D. (x + 1)(x − 8)


x2 + 3x − 28

A. (x − 4)(x + 7) B. (x + 4)(x − 7)

C. (x − 14)(x + 2) D. (x + 14)(x − 2)

147. Which of the following shows the expressionbelow in factored form?

x2 − 2x − 48

A. (x − 8)(x + 6) B. (x − 8)(x − 6)

C. (x − 2)(x + 24) D. (x − 2)(x − 24)

148. Which of these shows the following expressionfactored completely?

6x2 + 15x − 36

A. (2x − 3)(x + 4) B. (6x + 9)(x − 4)

C. 3(2x − 3)(x + 4) D. 3(2x + 3)(x − 4)

149. If x > 0, which of the following is closest to thevalue of x that makes the equation below true?

2x2 = 40

A. 3.2 B. 4.5 C. 6.3 D. 8.9

150. If 3x2 = 48 , what is the value of x?

A. ± 4 B. ± 8

C. ± 16 D. 0 or 4

151. Solve by factoring:

x2 + 8x + 15 = 0

152. x2 + x − 6 = 0


153. x2 + 10x + 25 = 0

154. What quantity should be added to both sides ofthis equation to complete the square?

x2 − 8x = 5

A. 4 B. −4 C. 16 D. −16

155. Leanne correctly solved the equation x2 + 4x = 6by completing the square. Which equation is partof her solution?

A. (x + 2)2 = 8 B. (x + 2)2 = 10

C. (x + 4)2 = 10 D. (x + 4)2 = 22

156. Katie performed the steps shown below to solve aquadratic equation using the method of completingthe square.

Step 1: x2 + 4x − 6 = 0

Step 2: x2 + 4x = 6

Which represents the next correct step Katieshould perform?

A. x2 + 4x + 2 = 6 − 2 B. x2 + 4x + 4 = 6 − 4

C. x2 + 4x + 2 = 6 + 2 D. x2 + 4x + 4 = 6 + 4

157. Solve by completing the square.

x2 + 10x + 24 = 0

158. x2 − 4x + 2 = 0

159. Use the quadratic equation to solve the following:

3x2 + 8x + 4 = 0

160. Solve using the quadratic formula:

x2 + 12x + 36 = 0

161. What are the solutions for the quadratic equationx2 + 6x = 16?

A. −2, −8 B. −2, 8

C. 2, −8 D. 2, 8


162. What is the solution set for (x − 2)2 = 64?

A. {−6} B. {10}

C. {−6, 10} D. {6, −10}

163. Solve the equation below.

x(x + 4) = 0

A. x = 0; x = −4 B. x = 0; x = 4

C. x = −4 D. x = 4

164. Which of the following is a solution of theequation below?

(k − 4)(k + 5) = 0

A. −9 B. −1 C. 4 D. 5

165. What is the solution set of the quadratic equation8x2 + 2x + 1 = 0?

A.

{−

1

2,

1

4

}B.

{−1 +

√2,−1 −

√2}

C.

{−1 +

√7

8,−1 −

√7

8

}D. no real solution

166. Which of these is the smaller solution to thequadratic equation, x2 − 5x + 3 = 0 ?

A.5√

13

2B. −

5√

13

2

C.5 −√

13

2D.

5 +√

13

2

167. What are the approximate solutions of the equationx2 + 4x = −2?

A. {−4.45, 0.45} B. {−3.41, 0.45}

C. {−3.41, −0.45} D. {−3.41, −0.45}


168. Use the graph of the function below to answer thequestion.

Which description of the function is true?

A. The function is linear and always increasing.

B. The function is nonlinear and alwaysincreasing.

C. The function is decreasing from negativeinfinity to −1 and increasing from −1 toinfinity.

D. The function is decreasing from negativeinfinity to −2 and increasing from −2 toinfinity.

169. A relationship is shown.

As the value of y decreases, what happens to thevalue of x?

A. The value of x decreases.

B. The value of x increases.

C. The value of x stays the same.

D. The value of x increases and decreases.


Problem-Attic format version 4.4.311c_ 2011–2017 EducAide Software

Licensed for use by [email protected] of Use at www.problem-attic.com

Final Exam - Test Bank (for review) 1/9/2018

1.Answer: 29.55574909 ft; 23.09148194 ft;

45.05044177 ft;

2.Answer: B

3.Answer: B

4.Answer: B

5.Answer: A

6.Answer: C

7.Answer: D

8.Answer: A

9.Answer: A

10.Answer: D

11.Answer: B

12.Answer: B

13.Answer: D

14.Answer: D

15.Answer: C

16.Answer: C

17.Answer: D

18.Answer: C

19.Answer: B

20.Answer: D

21.Answer:

22.Answer: B

23.Answer: D

24.Answer: A

25.Answer: A

26.Answer: A

27.Answer: B

28.Answer: C

29.Answer: D

30.Answer: C

31.Answer: A

32.Answer: A

33.Answer: A

34.Answer: A

35.Answer: A

36.Answer: D

37.Answer: D

38.Answer: A

39.Answer: D

40.Answer: C

Teacher’s Key Page 2

41.Answer: C

42.Answer: D

43.Answer: D

44.Answer: A

45.Answer: D

46.Answer: D

47.Answer: A

48.Answer: B

49.Answer: D

50.Answer: C

51.Answer: D

52.Answer: C

53.Answer: B

54.Answer: B

55.Answer: A

56.Answer: B

57.Answer: A

58.Answer: B

59.Answer: D

60.Answer: C

61.Answer: B

62.Answer: B

63.Answer: C

64.Answer: C

65.Answer: A

66.Answer: C

67.Answer: C

68.Answer: A

69.Answer: D

70.Answer: D

71.Answer: D

72.Answer: D

73.Answer: A

74.Answer: D

75.Answer: A

76.Answer: B

77.Answer: D

78.Answer: D

79.Answer: B

80.Answer: C

81.Answer: B

82.Answer: A

83.Answer: B

84.Answer: B

85.Answer:


86.Answer:

87.Answer: C

88.Answer: B

89.Answer:

90.Answer:

91.Answer:

92.Answer: A

93.Answer: A

94.Answer: C

95.Answer: D

96.Answer: B

97.Answer: A

98.Answer: A

99.Answer: D

100.Answer: B

101.Answer: D

102.Answer: B

103.Answer: D

104.Answer: B

105.Answer: A

106.Answer: B

107.Answer: A

108.Answer: A

109.Answer: D

110.Answer: B

111.Answer: B

112.Answer: C

113.Answer: B

114.Answer: D

115.Answer:

116.Answer: A

117.Answer: B

118.Answer: B

119.Answer: A

120.Answer: A

121.Answer: B

122.Answer: B

123.Answer: D

124.Answer: B

125.Answer: C

126.Answer:

127.Answer: A

128.Answer: C

129.Answer: A

130.Answer: B


131.Answer: B

132.Answer: C

133.Answer: B

134.Answer: D

135.Answer: D

136.Answer: D

137.Answer: D

138.Answer: D

139.Answer: 5x

140.Answer: D

141.Answer: B

142.Answer: A

143.Answer: D

144.Answer:

145.Answer: A

146.Answer: A

147.Answer: A

148.Answer: C

149.Answer: B

150.Answer: A

151.Answer: 3, −5

152.Answer: 2, −3

153.Answer: 5, −5

154.Answer: C

155.Answer: B

156.Answer: D

157.Answer: 4, −6

158.Answer: 2 ±

√2

159.Answer: 2, 2

3

160.Answer: 6

161.Answer: C

162.Answer: C

163.Answer: A

164.Answer: C

165.Answer: D

166.Answer: C

167.Answer: D

168.Answer: B

169.Answer: A

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