practice---alg 2 honors second semester final. do not...
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Name: ________________________ Class: ___________________ Date: __________
practice---ALG 2 Honors second semester final. do not write on test. show any work on paper
provided. summit answer into calculator.
1. Graph the equation –3x – y = 6.
a. c.
b. d.
Find the slope of the line through the pair of points.
2.
a.14
b. −4 c. −14
d. 4
3. (−13
, 0) and (−12
, −12
)
a. −3 b.13
c. −13
d. 3
Write in standard form an equation of the line passing through the given point with the given slope.
4. slope = –8; (–2, –2)
a. 8x + y = –18 b. –8x + y = –18 c. 8x – y = –18 d. 8x + y = 18
5. slope = 8
7; (5, –3)
a. −87
x + y = −617
c. −87
x + y = 617
b. −87
x – y = −617
d.87
x + y = −617
6. Find the point-slope form of the equation of the line passing through the points (–6, –4) and (2, –5).
a. y + 4 = 18
(x – 2) c. y + 5 = −18
(x + 6)
b. y + 4 = −18
(x + 6) d. y + 4 = 18
(x + 6)
Find the slope of the line.
7. 3x + 5y = −15
a. −53
b.53
c. −35
d.35
8.
a. undefined b. 2 c. 1 d. 0
Find an equation for the line:
9. through (2, 6) and perpendicular to y = −54
x + 1.
a. y = 54
x +72
b. y = −45
x +385
c. y = 45
x +225
d. y = −54
x +172
10. through (–4, 6) and parallel to y = −3x + 4.
a. y = −3x − 6 b. y = 3x + 18 c. y = 13
x +223
d. y = −13
x +143
11. through (–7, –4) and vertical.
a. x = –4 b. y = –4 c. y = –7 d. x = –7
Graph the absolute value equation.
12. y = − 2x + 3| |
a. c.
b. d.
13. What is the vertex of the function y = − 3x + 2| | − 4?
a. (−23
, –4) b. (23
, –4) c. (23
, 4) d. (−23
, 4)
14. Write two linear equations you can use to graph y = x + 7| | .
a.y = −x + 7
y = −x − 7
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c.y = x + 7
y = −x − 7
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b.y = −x + 7
y = x − 7
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d.y = x − 7
y = −x − 7
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Write an equation for the vertical translation.
15. y = −2
9x| | − 7; 2 units down
a. y = −2
9x| | − 9 c. y = −
2
9x| | − 2
b. y = −2
9x| | − 2 d. y = −
2
9x| | + 9
16. Write an equation for the horizontal translation of y = x| | .
a. y = x + 4| | b. y = x − 4| | c. y = − x + 4| | d. y = − x − 4| |
17. Write the equation that is the translation of y = x| | left 1 unit and up 2 units.
a. y = x − 2| | − 1 c. y = x − 1| | + 2
b. y = x + 1| | + 2 d. y = x + 2| | − 1
Graph the inequality.
18. –3x + y ≤ 5
a. c.
b. d.
19. Write an inequality for the graph.
a. –6x + 5y ≥ –30 c. 5x – 6y ≤ –30
b. –6x + 5y ≤ –30 d. 5x – 6y ≥ –30
Graph the absolute value inequality.
20. y < |x + 2| – 2
a. c.
b. d.
21. y ≥ |x + 3| – 2
a. c.
b. d.
Solve the system by graphing.
22. −3x − y = −10
4x − 4y = 8
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a.
(–1, 3)
c.
(1, 3)
b.
(3, –1)
d.
(3, 1)
Solve the system by the method of substitution.
23. 5x − y = 5
5x − 3y = 15
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a. (0, –5) b. (–5, 0) c. (5, 1) d. (1, 5)
24.
−3x − 3y + 2z = −7
z = 1
−2x − 3y + z = −6
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a. (2, 1, –1) b. (2, –1, 1) c. (–2, 1, 1) d. (2, 1, 1)
Use the elimination method to solve the system.
25. 5x + 3y = −6
3x − 2y = 4
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a. (0, –2) b. (–2, 0) c. (–2, 2) d. (2, –2)
26. −x + 2y = 10
−3x + 6y = 11
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a. infinite solutions c. (5, –2)
b. (–5, 2) d. no solutions
27.
x − 3y − z = −9
−2x + y + 2z = 3
2x + y + 3z = 8
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a. (1, –3, 1) b. (1, 3, 1) c. (–1, 3, 1) d. (1, 3, –1)
Solve the system of inequalities by graphing.
28. y ≤ −3x − 1
y > 3x − 2
�
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a. c.
b. d.
29. x ≥ −2
y > 3
�
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a. c.
b. d.
30. y ≥ 3x
y > x + 2| | − 3
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a. c.
b. d.
Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
31. y = (x + 1)(6x − 6) − 6x2
a. linear functionlinear term: −35x
constant term: 6
c. linear functionlinear term: 0x
constant term: –6
b. quadratic function
quadratic term: 6x2
linear term: −35x
constant term: 6
d. quadratic function
quadratic term: −6x2
linear term: 0x
constant term: –6
32. f(x) = (3x + 2)(−6x − 3)
a. linear functionlinear term: −21x
constant term: –6
c. quadratic function
quadratic term: 6x2
linear term: 24x
constant term: –6
b. quadratic function
quadratic term: −18x2
linear term: −21x
constant term: –6
d. linear function
linear term: −18x2
constant term: –6
Identify the vertex and the axis of symmetry of the parabola. Identify points corresponding to P and Q.
33.
a. (–1, –2), x = –1
P'(0, –1), Q'(–3, 2)
c. (–1, –2), x = –1
P'(–2, –1), Q'(–1, 2)
b. (–2, –1), x = –2
P'(–2, –1), Q'(–1, 2)
d. (–2, –1), x = –2
P'(0, –1), Q'(–3, 2)
34. Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
x y
–1 2
0 –2
3 10
a. y = −2x2+ 2x − 2; –58 c. y = 2x2
− 2x − 2; 58
b. y = 2x2− 2x − 2; 60 d. y = −2x2
+ 2x + 2; –58
Find a quadratic model for the set of values.
35. (–2, 8), (0, –4), (4, 68)
a. y = 4x2+ 2x − 4 c. y = 2x2
+ 4x − 4
b. y = 4x2+ 2x − 4 d. y = −4x2
− 2x + 4
36. A biologist took a count of the number of migrating waterfowl at a particular lake, and recounted the lake’s
population of waterfowl on each of the next six weeks.
Week 0 1 2 3 4 5 6
Population 585 582 629 726 873 1,070 1,317
a. Find a quadratic function that models the data as a function of x, the number of weeks.
b. Use the model to estimate the number of waterfowl at the lake on week 8.
a. P(x) = 25x2− 28x + 585; 1,614 waterfowl
b. P(x) = 30x2+ 28x + 535; 2,679 waterfowl
c. P(x) = 25x2− 28x + 585; 1,961 waterfowl
d. P(x) = 30x2+ 28x + 535; 2,201 waterfowl
37. A manufacturer determines that the number of drills it can sell is given by the formula D = −3p2+ 180p − 285,
where p is the price of the drills in dollars.
a. At what price will the manufacturer sell the maximum number of drills?
b. What is the maximum number of drills that can be sold?
a. $60; 285 drills c. $31; 2,418 drills
b. $30; 2,415 drills d. $90; 8,385 drills
38. Which is the graph of y = −2(x − 2)2− 4?
a. c.
b. d.
39. Use vertex form to write the equation of the parabola.
a. y = 3(x − 2)2+ 2 c. y = 3(x + 2)2
+ 2
b. y = 3(x − 2)2− 2 d. y = (x + 2)2
+ 2
40. Identify the vertex and the y-intercept of the graph of the function y = −3(x + 2)2+ 5.
a. vertex: (–2, 5);
y-intercept: –7
c. vertex: (2, 5);
y-intercept: –7
b. vertex: (2, –5);
y-intercept: –12
d. vertex: (–2, –5);
y-intercept: 9
41. Write y = 2x2+ 12x + 14 in vertex form.
a. y = 2(x + 12)2+ 14 c. y = (x + 3)2
+ 14
b. y = 6(x + 9)2− 4 d. y = 2(x + 3)2
− 4
Write the equation of the parabola in vertex form.
42. vertex (–4, 3), point (4, 131)
a. y = 2(x + 4)2 + 3 c. y = 4(x − 4)2 + 3
b. y = 2(x − 4)2 + 3 d. y = 131(x + 4)2 − 3
Factor the expression.
43. −15x2− 21x
a. x(−15x − 21) c. −3x(5x + 7)
b. −15x(x + 7) d. 5x(x − 3 + 7)
44. 8x2+ 12x − 16
a. −2(−4x2+ 12x − 16) c. 8x(−2x − 3)
b. 8x2+ 12x − 16 d. −4(−2x2
− 3x + 4)
45. x2− 6x + 8
a. (x + 4)(x + 2) c. (x − 4)(x + 2)
b. (x − 2)(x − 4) d. (x − 2)(x + 4)
46. 5x2− 22x − 15
a. (5x + 3)(x + 5) c. (5x + 3)(x − 5)
b. (x + 3)(5x − 5) d. (5x − 5)(x − 3)
47. 16x2+ 40x + 25
a. (4x − 5)2 c. (4x + 5)2
b. (4x + 5)(−4x − 5) d. (−4x + 5)2
48. 9x2− 16
a. (3x + 4)(−3x − 4) c. (−3x + 4)(3x − 4)
b. (3x + 4)(3x − 4) d. (3x − 4)2
49. x3 + 216
a. (x − 6)(x2 + 6x + 36) c. (x − 6)(x2 − 6x + 36)
b. (x + 6)(x2 − 6x + 36) d. (x + 6)(x2 + 6x + 72)
50. x4 − 20x2 + 64
a. (x − 2)(x − 2)(x + 4)(x + 4) c. (x − 2)(x + 2)(x − 4)(x + 4)
b. (x − 2)(x − 4)(x2) d. no solution
51. Solve by factoring.
4x2+ 28x − 32 = 0
a. 8, −12
b. –8, 4 c. –8, 1 d. 1, −12
Solve the equation by finding square roots.
52. 3x2= 21
a. 7 c.− 21
3,
21
3
b. 7 , – 7 d. − 7 , 21
53. 108x2= 147
a. −4936
, 4936
b. −76
, 76
c. −67
, 67
d. −3649
, 3649
54. The function y = −16t2+ 486 models the height y in feet of a stone t seconds after it is dropped from the edge of
a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.
a. 7.79 seconds c. 0.25 seconds
b. 11.02 seconds d. 5.51 seconds
55. Use a graphing calculator to solve the equation 8x2− 5x − 10 = 0. If necessary, round to the nearest hundredth.
a. 1.16, –1.16 c. 2.95, –1.7
b. 1.47, –0.85 d. 0.85, –1.47
56. Simplify −175 using the imaginary number i.
a. i 175 b. 5i 7 c. 5 −7 d. −5 7
Write the number in the form a + bi.
57. −4 + 10
a. 4 + 10i c. 10 + 2i
b. 10 + i 4 d. 2 + 10i
58. –6 – −48
a. 6 + i 48 c. 6 − 4i 3
b. −6 − 4i 3 d. −6 + 4i 3
Simplify the expression.
59. (−1 + 6i) + (−4 + 2i)
a. 5 − 8i c. −5 + 8i
b. 5 − 2i d. 3i
60. (2 − 5i) − (3 + 4i)
a. 1 + 9i c. −1 − 9i
b. 5 − i d. −10i
61. (−6i)(−6i)
a. 36 b. –36 c. –36i d. 36i
62. (2 + 5i)(−1 + 5i)
a. −27 + 5i c. −2 + 25i
b. 23 + 5i d. −2 + 5i
Solve the equation.
63. x2+ 18x + 81 = 25
a. 14, 4 c. 14, –14
b. –4, –14 d. –4, 4
Solve the quadratic equation by completing the square.
64. x2+ 10x + 14 = 0
a. −10 ± 6 c. 5 ± 6
b. 100 ± 11 d. −5 ± 11
65. x2+ 10x + 35 = 0
a. −10 ± 15 c. 100 ± i 10
b. 5 ± i 15 d. −5 ± i 10
66. 3x2+ 7x = −9
a.76
±20
6i c. −
76
±59
6i
b. −73
±101
3i d.
73
±59
3i
Use the Quadratic Formula to solve the equation.
67. 5x2+ 9x − 2 = 0
a.25
, −4 b.15
, −2 c.565
, −13 d. 2, −15
68. −2x2+ x + 8 = 0
a.14
±65
4c.
12
±65
2
b. 4 ±130
4d.
14
±32
2
69. Use a graphing calculator to determine which type of model best fits the values in the table.
x –6 –2 0 2 6
y –6 –2 0 2 6
a. quadratic model c. linear model
b. cubic model d. none of these
70. Write 4x3 + 8x2 – 96x in factored form.
a. 6x(x + 4)(x – 4) c. 4x(x + 6)(x + 4)
b. 4x(x – 4)(x + 6) d. –4x(x + 6)(x + 4)
71. Write a polynomial function in standard form with zeros at 5, –4, and 1.
a. f(x) = x3 − 2x2 − 19x − 9 c. f(x) = x3 − 21x2 + 60x − 9
b. f(x) = x3 − 2x2 − 19x + 20 d. f(x) = x3 + 20x2 − 2x − 19
72. Find the zeros of f(x) = (x + 3)2(x − 5)6 and state the multiplicity.
a. 2, multiplicity –3; 5, multiplicity 6
b. –3, multiplicity 2; 6, multiplicity 5
c. –3, multiplicity 2; 5, multiplicity 6
d. 2, multiplicity –3; 6, multiplicity 5
73. Divide 3x3 − 3x2 − 4x + 3 by x + 3.
a. 3x2 − 12x + 32 c. 3x2 + 6x − 40
b. 3x2 − 12x + 32, R –93 d. 3x2 + 6x − 40, R 99
74. Determine which binomial is a factor of −2x3 + 14x2 − 24x + 20.
a. x + 5 b. x + 20 c. x – 24 d. x – 5
Divide using synthetic division.
75. (x4 + 15x3 − 77x2 + 13x − 36) ÷ (x − 4)
a. x3 − 23x2 − 75x − 5 c. x3 − x2 + 9x + 19
b. x3 + 15x2 − 23x − 5 d. x3 + 19x2 − x + 9
76. Use synthetic division to find P(2) for P(x) = x4 + 3x3 − 6x2 − 10x + 8 .
a. 2 b. 28 c. 4 d. –16
Solve the equation by graphing.
77. x2 + 7x + 19 = 0
a. x = 49 b. no solution c. x = 19 d. x = 12
78. Over two summers, Ray saved $1000 and $600. The polynomial 1000x2 + 600x represents her savings after three
years, where x is the growth factor. (The interest rate r is x – 1.) What is the interest rate she needs to save $1850
after three years?a. 9.3% b. 1.1% c. –269.3% d. 0.1%
79. Solve 125x3 + 343 = 0. Find all complex roots.
a. −75
, 35 ± 35i 3
50c.
75
,35 ± 35 3
50
b. no solution d. −75
, 75
80. Solve x4 − 34x2 = −225.
a. no solution c. 3, –3, 5, –5
b. 3, –5 d. 3, –3
81. Find a third-degree polynomial equation with rational coefficients that has roots –5 and 6 + i.
a. x3 − 7x2 − 23x + 185 = 0 c. x3 − 7x2 − 23x = 0
b. x3 − 7x2 − 12x + 37 = 0 d. x3 − 12x2 + 37x = 0
Graph the function.
82. y = x + 3
a. c.
b. d.
83. y = −0.5 x − 2 + 2
a. c.
b. d.
84. y = − x − 33
+ 4
a. c.
b. d.
85. Rewrite y = 9x − 36 − 4 to make it easy to graph using a translation. Describe the graph.
a. y = 3 x − 4 − 4.
It is the graph of y = 3 x translated 4 units left and 4 units down.
b. y = x − 4 − 4. It is the graph of y = x translated 4 units left and 4 units down.
c. y = x + 4 − 4.
It is the graph of y = x translated 4 units right and 4 units down.
d. y = 3 x − 4 − 4.
It is the graph of y = 3 x translated 4 units right and 4 units down.
Graph the exponential function.
86. y = 4x
a. c.
b. d.
87. An initial population of 505 quail increases at an annual rate of 23%. Write an exponential function to model the
quail population.a. f(x) = 505(0.23)x c. f(x) = 505(23)x
b. f(x) = 505 ⋅ 0.23� �x
d. f(x) = 505(1.23)x
88. Write an exponential function y = abx for a graph that includes (1, 15) and (0, 6).
a. y = 6(2.5)x c. y = 2.5(6)x
b. y = 3(5)x d. y = 5(3)x
Graph the function. Identify the horizontal asymptote.
89. y = 71
4
�
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�
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x
a.
asymptote: x = 0
c.
asymptote: x = 7
b.
asymptote: x = –4
d.
asymptote: x = 0
90. Find the annual percent increase or decrease that y = 0.35(2.3)x models.
a. 230% increase c. 30% decrease
b. 130% increase d. 65% decrease
91. Graph y = − 51
7
�
�
�
������
x
.
a. c.
b. d.
92. Graph y = 7 6� �x + 2
+ 1.
a. c.
b. d.
93. Graph y = 21
5
�
�
�
������
x − 1
+ 1.
a. c.
b. d.
94. The half-life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801 kg.
Write an exponential function that models the decay of this material. Find how much radioactive material remains
after 10 days. Round your answer to the nearest thousandth.
a. y =1
2
1
801
�
�
�
������
1
85x
; 0.228 kg c. y = 8011
2
�
�
�
������
1
85x
; 738.273 kg
b. y = 8011
2
�
�
�
������
85 x
; 0 kg d. y = 21
801
�
�
�
������
1
85x
; 0.911 kg
95. Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have
in the account after 4 years?
a. $800.26 b. $6,701.28 c. $10,138.07 d. $1,923.23
Write the equation in logarithmic form.
96. 64 = 1, 296
a. log61, 296 = 4 c. log 1, 296 = 4 ⋅ 6
b. log 1, 296 = 4 d. log41, 296 = 6
Evaluate the logarithm.
97. log51
625
a. –3 b. 5 c. –4 d. 4
98. log3243
a. 5 b. –5 c. 4 d. 3
Graph the logarithmic equation.
99. y = log5x
a. c.
b. d.
100. y = log(x + 1) − 7
a. c.
b. d.
State the property or properties of logarithms used to rewrite the expression.
101. log5 6 − log5 2 = log5 3
a. Quotient Property c. Difference Property
b. Product Property d. Power Property
102. log4 7 + log4 2 = log4 14
a. Quotient Property c. Addition Property
b. Power Property d. Product Property
Write the expression as a single logarithm.
103. 5 logbq + 2 logby
a. logb(q5y2) c. logb q5+ y2�
�
�����
b. 5 + 2� � logb q + y��
��� d. logb qy5 + 2�
�
�����
104. log3 4 − log3 2
a. log3 2 b. log3 2 c. log 2 d. log 2
Expand the logarithmic expression.
105. log311p3
a. log3 11 ⋅ 3 log3 p c. log3 11 + 3 log3 p
b. log 311 − 3 log 3p d. 11 log 3 p3
106. Solve 152x = 36. Round to the nearest ten-thousandth.a. 0.6616 b. 2.6466 c. 1.7509 d. 1.9091
107. Use the Change of Base Formula to solve 22x = 90. Round to the nearest ten-thousandth.a. 7.6133 b. 9.3658 c. 3.2459 d. 12.9837
108. Use a graphing calculator. Solve 54x = 2115 by graphing. Round to the nearest hundredth.a. 1.19 b. 0.83 c. 4.76 d. 3.33
109. Solve log(4x + 10) = 3.
a. −74
b.495
2c. 250 d. 990
110. Solve log 3x + log 9 = 0. Round to the nearest hundredth if necessary.
a. 0.33 b. 0.04 c. 3 d. 27
Sketch the asymptotes and graph the function.
111. y =2
x + 2− 3
a. c.
b. d.
112. y =−3x + 5
−5x + 2
a. c.
b. d.
113. y =x2
− 7x + 12
x2− 1
a. c.
b. d.
114. Write an equation for the translation of y =4
x that has the asymptotes x = 7 and y = 6.
a. y =4
x − 6+ 7 c. y =
4
x − 7+ 6
b. y =4
x + 7+ 6 d. y =
4
x + 6+ 7
Find any points of discontinuity for the rational function.
115. y =(x + 6)(x + 2)(x + 8)
(x + 9)(x + 7)
a. x = 6, x = 2, x = 8 c. x = –9, x = –7
b. x = 9, x = 7 d. x = –6, x = –2, x = –8
116. y =x − 8
x2+ 6x − 7
a. x = 1, x = 7 c. x = 1, x = –7
b. x = 8 d. x = –1, x = 7
117. Describe the vertical asymptote(s) and hole(s) for the graph of y =(x − 5)(x − 2)
(x − 2)(x + 4).
a. asymptote: x = –4 and hole: x = 2
b. asymptotes: x = –4 and x = 2
c. asymptote: x = –5 and hole: x = –4
d. asymptote: x = 4 and hole: x = –2
118. Find the horizontal asymptote of the graph of y =6x2
+ 5x + 9
7x2− x + 9
.
a. y = 67
c. y = 1
b. y = 0 d. no horizontal asymptote
ID: A
practice---ALG 2 Honors second semester final. do not write on test. show any work on paper
provided. summit answer into calculator.
Answer Section
1. ANS: C REF: 2-2 Linear Equations
2. ANS: D REF: 2-2 Linear Equations
3. ANS: D REF: 2-2 Linear Equations
4. ANS: A REF: 2-2 Linear Equations
5. ANS: A REF: 2-2 Linear Equations
6. ANS: B REF: 2-2 Linear Equations
7. ANS: C REF: 2-2 Linear Equations
8. ANS: D REF: 2-2 Linear Equations
9. ANS: C REF: 2-2 Linear Equations
10. ANS: A REF: 2-2 Linear Equations
11. ANS: D REF: 2-2 Linear Equations
12. ANS: D REF: 2-5 Absolute Value Functions and Graphs
13. ANS: B REF: 2-5 Absolute Value Functions and Graphs
14. ANS: C REF: 2-5 Absolute Value Functions and Graphs
15. ANS: A REF: 2-6 Vertical and Horizontal Translations
16. ANS: B REF: 2-6 Vertical and Horizontal Translations
17. ANS: B REF: 2-6 Vertical and Horizontal Translations
18. ANS: B REF: 2-7 Two-Variable Inequalities
19. ANS: D REF: 2-7 Two-Variable Inequalities
20. ANS: A REF: 2-7 Two-Variable Inequalities
21. ANS: D REF: 2-7 Two-Variable Inequalities
22. ANS: D REF: 3-1 Graphing Systems of Equations
23. ANS: A REF: 3-2 Solving Systems Algebraically
24. ANS: D REF: 3-6 Systems With Three Variables
25. ANS: A REF: 3-2 Solving Systems Algebraically
26. ANS: D REF: 3-2 Solving Systems Algebraically
27. ANS: B REF: 3-6 Systems With Three Variables
28. ANS: D REF: 3-3 Systems of Inequalities
29. ANS: D REF: 3-3 Systems of Inequalities
30. ANS: B REF: 3-3 Systems of Inequalities
31. ANS: C REF: 5-1 Modeling Data With Quadratic Functions
32. ANS: B REF: 5-1 Modeling Data With Quadratic Functions
33. ANS: A REF: 5-1 Modeling Data With Quadratic Functions
34. ANS: C REF: 5-1 Modeling Data With Quadratic Functions
35. ANS: A REF: 5-1 Modeling Data With Quadratic Functions
36. ANS: C REF: 5-1 Modeling Data With Quadratic Functions
37. ANS: B REF: 5-2 Properties of Parabolas
38. ANS: A REF: 5-3 Translating Parabolas
39. ANS: C REF: 5-3 Translating Parabolas
40. ANS: A REF: 5-3 Translating Parabolas
41. ANS: D REF: 5-3 Translating Parabolas
ID: A
42. ANS: A REF: 5-3 Translating Parabolas
43. ANS: C REF: 5-4 Factoring Quadratic Expressions
44. ANS: D REF: 5-4 Factoring Quadratic Expressions
45. ANS: B REF: 5-4 Factoring Quadratic Expressions
46. ANS: C REF: 5-4 Factoring Quadratic Expressions
47. ANS: C REF: 5-4 Factoring Quadratic Expressions
48. ANS: B REF: 5-4 Factoring Quadratic Expressions
49. ANS: B REF: 6-4 Solving Polynomial Equations
50. ANS: C REF: 6-4 Solving Polynomial Equations
51. ANS: C REF: 5-5 Quadratic Equations
52. ANS: B REF: 5-5 Quadratic Equations
53. ANS: B REF: 5-5 Quadratic Equations
54. ANS: D REF: 5-5 Quadratic Equations
55. ANS: B REF: 5-5 Quadratic Equations
56. ANS: B REF: 5-6 Complex Numbers
57. ANS: C REF: 5-6 Complex Numbers
58. ANS: B REF: 5-6 Complex Numbers
59. ANS: C REF: 5-6 Complex Numbers
60. ANS: C REF: 5-6 Complex Numbers
61. ANS: B REF: 5-6 Complex Numbers
62. ANS: A REF: 5-6 Complex Numbers
63. ANS: B REF: 5-7 Completing the Square
64. ANS: D REF: 5-7 Completing the Square
65. ANS: D REF: 5-7 Completing the Square
66. ANS: C REF: 5-7 Completing the Square
67. ANS: B REF: 5-8 The Quadratic Formula
68. ANS: A REF: 5-8 The Quadratic Formula
69. ANS: C REF: 6-1 Polynomial Functions
70. ANS: B REF: 6-2 Polynomials and Linear Factors
71. ANS: B REF: 6-2 Polynomials and Linear Factors
72. ANS: C REF: 6-2 Polynomials and Linear Factors
73. ANS: B REF: 6-3 Dividing Polynomials
74. ANS: D REF: 6-3 Dividing Polynomials
75. ANS: D REF: 6-3 Dividing Polynomials
76. ANS: C REF: 6-3 Dividing Polynomials
77. ANS: B REF: 6-4 Solving Polynomial Equations
78. ANS: A REF: 6-4 Solving Polynomial Equations
79. ANS: A REF: 6-4 Solving Polynomial Equations
80. ANS: C REF: 6-4 Solving Polynomial Equations
81. ANS: A REF: 6-5 Theorems About Roots of Polynomial Equations
82. ANS: C REF: 7-8 Graphing Radical Functions
83. ANS: C REF: 7-8 Graphing Radical Functions
84. ANS: C REF: 7-8 Graphing Radical Functions
85. ANS: D REF: 7-8 Graphing Radical Functions
86. ANS: D REF: 8-1 Exploring Exponential Models
ID: A
87. ANS: D REF: 8-1 Exploring Exponential Models
88. ANS: A REF: 8-1 Exploring Exponential Models
89. ANS: D REF: 8-1 Exploring Exponential Models
90. ANS: B REF: 8-1 Exploring Exponential Models
91. ANS: D REF: 8-2 Properties of Exponential Functions
92. ANS: A REF: 8-2 Properties of Exponential Functions
93. ANS: C REF: 8-2 Properties of Exponential Functions
94. ANS: C REF: 8-2 Properties of Exponential Functions
95. ANS: D REF: 8-2 Properties of Exponential Functions
96. ANS: A REF: 8-3 Logarithmic Functions as Inverses
97. ANS: C REF: 8-3 Logarithmic Functions as Inverses
98. ANS: A REF: 8-3 Logarithmic Functions as Inverses
99. ANS: C REF: 8-3 Logarithmic Functions as Inverses
100. ANS: A REF: 8-3 Logarithmic Functions as Inverses
101. ANS: A REF: 8-4 Properties of Logarithms
102. ANS: D REF: 8-4 Properties of Logarithms
103. ANS: A REF: 8-4 Properties of Logarithms
104. ANS: A REF: 8-4 Properties of Logarithms
105. ANS: C REF: 8-4 Properties of Logarithms
106. ANS: A REF: 8-5 Exponential and Logarithmic Equations
107. ANS: C REF: 8-5 Exponential and Logarithmic Equations
108. ANS: A REF: 8-5 Exponential and Logarithmic Equations
109. ANS: B REF: 8-5 Exponential and Logarithmic Equations
110. ANS: B REF: 8-5 Exponential and Logarithmic Equations
111. ANS: C REF: 9-2 Graphing Inverse Variations
112. ANS: A REF: 9-3 Rational Functions and Their Graphs
113. ANS: B REF: 9-3 Rational Functions and Their Graphs
114. ANS: C REF: 9-2 Graphing Inverse Variations
115. ANS: C REF: 9-3 Rational Functions and Their Graphs
116. ANS: C REF: 9-3 Rational Functions and Their Graphs
117. ANS: A REF: 9-3 Rational Functions and Their Graphs
118. ANS: A REF: 9-3 Rational Functions and Their Graphs