test bank for a graphical approach to college algebra 5th ... · test bank for a graphical approach...

Test Bank for A Graphical Approach to College Algebra 5th edition by John Hornsby, Margaret L. Lial,

Gary K. Rockswold Link full download test bank: http://testbankcollection.com/download/test-bank-for-a-graphical-approach-to-college-

algebra-5th-edition-by-hornsby-lial-rockswold/

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

For the set, list all elements that belong to the specified set.

1)

; Integers

A) 3 B) 0, -10, 2 C) 3, -10 D) 3,

Answer: B

2)

; Whole numbers

A) 7 B) 7, -18, 0 C) 7, -18 D) 7, 0

Answer: D

3)

; Natural numbers

A) 0, 5 B) 0 C) 5 D) -22, 0

Answer: C

1)

2)

3)

4) { 19, , -5, 0}; Real numbers 4)

A) 19, 0 B) 19, , -5, 0 C) 19 D) 19, -5, 0

Answer: B

5) { 3, , -2, 0, 0. 64}; Rational numbers 5)

A) 3, 0 B) , 0. 64 C) D) 3, -2, 0, 0. 64

Answer: D

6) { 7, , -21, 0, 0. 14}; Irrational numbers 6)

A) , 0. 14 B) , -21 C) D) , 0, 0. 14

Answer: C

For the measured quantity, state the set of numbers that is most appropriate to describe it. Choose from the natural

numbers, integers, and rational numbers.

7) Number of students in various high schools 7)

A) Rational numbers B) Natural numbers C) Integers

Answer: B

8) Hat sizes 8)

A) Natural numbers B) Rational numbers C) Integers

Answer: B

9) Temperatures given in a weather forecast for Alaska 9)

A) Integers B) Rational numbers C) Natural numbers

Answer: A

10) High temperatures during heat waves in California 10)

A) Rational numbers B) Integers C) Natural numbers

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Answer: C

11) Net annual incomes of local manufacturers, in dollars 11)







Answer: C

12) The lengths of randomly cut pieces of string (measured using a ruler) 12)

A) Integers B) Natural numbers C) Rational numbers

Answer: C

13) The populations of armies of termites living in the walls of houses 13)

A) Rational numbers B) Integers C) Natural numbers

Answer: C

14) The lengths of randomly cut pieces of string (measured to the nearest inch) 14)


Answer: B

15) The average speeds of race cars for one lap at Wilmot Speedway 15)

A) Integers B) Rational numbers C) Natural numbers

Answer: B

16) The number of cars sold in an average month at Bob's Auto Sales 16)

A) Natural numbers B) Rational numbers C) Integers

Answer: A

Graph the set of numbers on a number line.

17) { -3, -1, 1, 3} 17)

A)

B)

C)

D)

Answer: C

18) { -9, -7, -5, -3} 18)

A)

B)

C)

D)






Answer: D

19) 19)

A)

B)

C)

D)

Answer: D

20) { -1.5, 0.25, 3.5, -2.25} 20)

A) B)

C) D)

Answer: A

21) 21)

A)

B)

C)

D)

Answer: B

22)






A)

B)

C)

D)

Answer: C

Locate the point on a rectangular coordinate system. Identify the quadrant , if any, in which the point lies.

23) ( 15, 18)

A) III

B) II

C) I

D) IV

23)

Answer: C

24) ( 11, -19)

A) I

B) III

C) II

D) IV

24)

Answer: D

25) ( -18, 3)

A) II

Answer: A

B) III

C) IV

D) None

25)

26) ( -13, -2)

A) II

Answer: B

B) III

C) I

D) IV

26)

27) 27)

A) II B) III C) IV D) None

Answer: D

28) 28)

A) I B) IV C) II D) None

Answer: C

29) (0, 0) 29)

A) IV B) II C) I D) None

Answer: D

Name the possible quadrants in which the point (x, y) can lie if the condition is true.

22)






30) yx < 0 30)

A) III or IV B) I or II C) II or IV D) II or III

Answer: C

31) 0 < xy 31)

A) II or III B) II or IV C) I or III D) III or IV

Answer: C

32)

< 0

A) I or II B) II or IV C) III or IV D) II or III

Answer: B

32)

Give the values of Xmin, Xmax, Ymin, and Ymax for the screen, given the values for Xscl and Yscl.

33) 33)

Xscl = 1, Yscl = 1

A) [-10, 10] by [-10, 10] B) [5, -5] by [5, -5]

C) [-5, 5] by [-5, 5] D) [10, -10] by [10, -10]

Answer: C

34)

Xscl = 2, Yscl; = 2

34)

A) [10, -10] by [10, -10] B) [5, -5] by [5, -5]

C) [-5, 5] by [-5, 5] D) [-10, 10] by [-10, 10]

Answer: D

35)

Xscl = 1, Yscl = 1

35)

A) [-15, 5] by [-15, 5] B) [5, -15] by [5, -15]






C) [-5, 15] by [-5, 15] D) [15, -5] by [15, -5]

Answer: C

36)

Xscl = 10, Yscl = 10

36)

A) [-3, 3] by [-4, 4] B) [-40, 40] by [-30, 30]

C) [-4, 4] by [-3, 3] D) [-30, 30] by [-40, 40]

Answer: D

37)

Xscl = 5, Yscl = 5

37)

A) [-10, 80] by [-10, 60] B) [-2, 12] by [-2, 16]

C) [-2, 16] by [-2, 12] D) [-10, 60] by [-10, 80]

Answer: A

38)

Xscl = 4, Yscl = 2

38)

A) [-10, 10] by [-20, 20] B) [-5, 5] by [-5, 5]

C) [-20, 20] by [-10, 10] D) [-10, 10] by [-10, 10]

Answer: C

39)

Xscl = 15, Yscl = 10

39)






A) [-20, 20] by [-10, 50] B) [-50, 10] by [-30, 30]

C) [-2, 2] by [-5, 1] D) [-30, 30] by [-50, 10]

Answer: D

40)

Xscl = 2, Yscl = .2

40)

A) [-5, 5] by [-5, 5] B) [-10, 10] by [-10, 10]

C) [-1, 1] by [-10, 10] D) [-10, 10] by [-1, 1]

Answer: D

41)

Xscl = 7, Yscl = 8

41)

A) [-28, 35] by [-16, 24] B) [-2, 3] by [-4, 5]

C) [-4, 5] by [-2, 3] D) [-16, 24] by [-28, 35]

Answer: A

42)

Xscl = .3, Yscl = .5

42)

A) [-1.5, 1.5] by [-2, 2] B) [-5, 5] by [-4, 4]

C) [-4, 4] by [-5, 5] D) [-15, 15] by [-20, 20]

Answer: A

Find a decimal approximation of the root or power. Round the answer to the nearest thousandth.

43) 43)

A) 8.000 B) 2.833 C) 2.825 D) 2.828

Answer: D

44) 44)

A) 9.271 B) 9.279 C) 9.274 D) 86.000






Answer: C

45) 45)

A) 465.000 B) 21.561 C) 21.564 D) 21.569

Answer: C

46) 46)

A) 83.274 B) 83.277 C) 6935.000 D) 83.282

Answer: B

47) 47)

A) 12.782 B) 12.754 C) 12.767 D) 12.000

Answer: C

48) 48)

A) 3.175 B) 32,768 C) 1024 D) -32

Answer: A

49) 49)

A) 3.732 B) -13.928 C) -3.732 D) 13.928

Answer: A

50) 181/ 5 50)

A) -90.000 B) 3.6 C) 1.783 D) 90.000

Answer: C

51) 51)

A) 5.934 B) 2.634 C) 4.334 D) 3.634

Answer: D

Approximate the expression to the nearest thousandth.

52) 52)

A) 7.873 B) 11.368 C) 10.344 D) 11.331

Answer: C

53) 53)

A) 299.03 B) 297.018 C) -299.029 D) -297.018

Answer: B

54) 54)

A) -0.126 B) -0.086 C) -0.098 D) -0.091

Answer: A

55)

5( ) - 2( 8.7) + 6 55)

A) -26.6 B) 52.4 C) 40.4 D) 46.4

Answer: D

Find the length of the unknown side of the right triangle. In each case, a and b represent the lengths of the legs and c

represents the length of the hypotenuse.






56) a = 7, b = 24; find c 56)

A) 625 B) 25 C) 527 D)

Answer: B

57) a = 6, c = 10; find b 57)

A) 100 B) 8 C) D) 136

Answer: B

58) a = , b = ; find c 58)

A) 136 B) C) 4 D) 16

Answer: C

59) b = 12, c = 20; find a 59)

A) 20 B) 19 C) 16 D) 14

Answer: C

Find the distance between P and Q and the coordinates of the midpoint of the segment joining P and Q.

60) 60)

A) 4 ; B) 8; C) 8; D) ;

Answer: A

61)






A) ; B) 10; C) ; D) 10;

Answer: C

62) 62)

A) B)

; ;

C) D)

; ;

Answer: D

63) 63)

61)






A) B)

; ;

C) D)

i ; ;

Answer: A

64) P( 5, 6), Q( 2, 3) 64)

A) B)

3 ; ;

C) 6; D) 6;

Answer: B

65) P( 1, 7), Q( 9, -7) 65)

A) ; B) ; C) 6; D) 6;

Answer: A

Suppose that P is the endpoint of a segment PQ and M is the midpoint of PQ. Find the coordinates of endpoint Q.

66)

P( 3, 2), M

A) Q B)

Q

Answer: D

C) D) Q( 8, 7)

66)

67)

P( -8,

A)

Q

B) Q( -7, 9) C) D)

67)

Answer: B

Solve the problem.

68) The graph shows the Total Gross Revenue (in millions of dollars) of Top 100 Internet Companies

in the United States between 2000 and 2004. Use the midpoint formula to estimate the revenue

for 2002.

Total Gross Revenue of Top 100 Internet Companies

a = 5000 million dollars; b = 25,800 million dollars

68)

A) 15,400 million dollars B) 20,800 million dollars

C) 38,000 million dollars D) 17,500 million dollars

2), M



Answer: A

69) The graph shows an idealized linear relationship for the average monthly payments (in dollars)

to retirees from 2000 through 2004. Use the midpoint formula to estimate the payment for 2002.

Average Monthly Payments to Retirees

a = $452; b = $544

69)

A) $ 544 B) $500 C) $ 46 D) $ 498

Answer: D

70) The table lists how financial aid income cutoffs (in dollars) for a family of four have changed

over time. Use the midpoint formula to approximate the financial aid cutoff for 1985.

A) $21,000 B) $18,000 C) $36,000 D) $57,000

Answer: C

71) An isosceles triangle has at least two sides of equal length. Determine whether the triangle with

vertices and is isosceles.

A) Yes B) No

Answer: A

72) An isosceles triangle has at least two sides of equal length. Determine whether the triangle with

vertices and is isosceles.

A) Yes B) No

Answer: B

70)

71)

72)

Provide an appropriate response.

73) Is a rational or irrational number? 73)

A) Irrational B) Rational

C) Both rational and irrational D) Neither

Answer: A

74) Are both 7 and -3 natural numbers, integers, or irrational numbers? 74)

A) Natural numbers B) Integers

C) Irrational numbers D) None of the above

Answer: B

75) Are both 8 and natural numbers, integers, or irrational numbers? 75)

A) Integers B) Natural numbers


Answer: D

76) Are both and natural numbers, integers, or irrational numbers? 76)

A) Natural numbers B) Integers


Answer: C

77) In what quadrant of the xy-plane does P( -7, 8) lie? 77)

A) I B) IV C) III D) II

Answer: D

78) In what quadrant of the coordinate system does P( 7, 4) lie? 78)

A) III B) IV C) I D) II

Answer: C

79) In what quadrant of the coordinate system will you find P( -9, -2) ? 79)

A) II B) IV C) III D) I

Answer: C

Sketch the graph of f.

80) f(x) = -5x + 3 80)

A)

B)

C) D)

Answer: A

81)

f(x) = x - 2

A)

81)

B)

C) D)

Answer: B

82) f(x) = - 5 82)

A)

B)

f(x) =

C) D)

Answer: B

83) 83)

A)

B)

f(x) = - 2

C) D)

Answer: D

84) 84)

A)

B)

f(x) =

C) D)

Answer: A

85) 85)

A)

B)

C) D)

Answer: C

Using interval notation, write the set.

86) x > 2} 86)

A) ( 2, ∞) B) [ 2, ∞] C) ( 2, ∞] D) [ 2, ∞)

Answer: A

87) 1 < x < 10} 87)

A) ( 1, 10) B) [ 1, 10) C) ( 1, 10] D) [ 1, 10]

Answer: A

88) x < -2} 88)

A) [-∞, -2] B) (-∞, -2) C) (-∞, -2] D) [-∞, -2)

Answer: B

89) x ≥ 5} 89)

A) [ 5, ∞] B) [ 5, ∞) C) ( 5, ∞) D) ( 5, ∞]

Answer: B

90) x ≤ -4} 90)

A) (-∞, -4) B) [-∞, -4] C) [-∞, -4) D) (-∞, -4]

Answer: D

91)

{ -9 ≤

x ≤ 3}

91)

A) [ -9, 3) B) ( -9, 3) C) [ -9, 3] D) ( -9, 3]

Answer: C

92) -4 < x ≤ -3} 92)

A) [ -4, -3] B) ( -4, -3) C) [ -4, -3) D) ( -4, -3]

Answer: D

Graph the set on a number line.

93) ( -1, 3] 93)

A)

B)

C)

D)

Answer: B

94) ( 4, ∞) 94)

A)

B)

C)

D)

Answer: D

95) [ -5, 0] 95)

A)

B)

C)

D)

Answer: A

96) [ 2, 7) 96)

A)

B)

C)

D)

Answer: D

97) ( -2, 3) 97)

A)

B)

C)

D)

Answer: B

98) (-∞, 1] 98)

A)

B)

C)

D)

A)

Answer: B

Using the variable x, write the interval using set-builder notation.

99) ( -6, 1] 99)

A) x ≤ 1} B) -6 ≤ x ≤

1}

C) -6 < x ≤

1}

D) -6 < x <

1}

Answer: C

100) [ -6, 7) 100)

A) -6 ≤ x <

7}

Answer: A

B) x < 7} C) -6 ≤ x ≤

7}

D) -6 < x ≤

7}

101) 101)

A) { 1 ≤ x ≤ 4} B) C) D)

Answer: D

102) 102)

B) C) D) 2 ≤ x ≤ 1}

Answer: C

103) 103)

A) { x < 6} B) { x > 6} C) x ≥ 6} D) x ≤ 6}

Answer: D

104) 104)

A) { x ≥ 7} B) { x > 7} C) x < 7} D) x ≤ 7}

Answer: B

Determine the domain and range of the relation.

105) {( 5, 1), ( 3, 4), ( 6, -3), ( 12, 2), ( 8, -8)} 105)

A) Domain: { 6, 5, 12, 8, 3}; range: { -3, 1, 2, -8, 4}

B) Domain: { 2, 8, -8, 3, 4}; range: { 6, -3, 5, 1, 12}

C) Domain: { 6, -3, 5, 1, 12}; range:{ 2, 8, -8, 3, 4}

D) Domain: { -3, 1, 2, -8, 4}; range: { 6, 5, 12, 8, 3}

Answer: A

106) {( 9, 5), ( 5, -6), ( 8, 9), ( 8, -2)} 106)

A) Domain: { 8, 5, 9, 8}; range: { 9, -6, 5, -2}

B) Domain: { 9, -6, 5, -2}; range: { 8, 5,

9}

C) Domain: { 8, 5, 9, -8}; range: { 9, -6,

5, -2}

Answer: D

D) Domain: { 8, 5, 9}; range: { 9, -6, 5,

-2}

107) {( 10, -9), ( 10, 9), ( -6, 5), ( -9, -4), ( 8, -6)} 107)

A) Domain: { 9, -4, -6, 5, -9}; range: { 10, 10, -9, 8, -6}

B) Domain: { 10, -2, -9, 8, -6}; range: { 9, -4, -6, 5, -9}

C) Domain: { 10, -9, 8, -6}; range: { 9, -4, -6, 5, -9}

D) Domain: { 10, 10, -9, 8, -6}; range: { 9, -4, -6, 5, -9}

Answer: C

108) {( 5, 5), ( 9, -2), ( 10, 7), ( 10, 9)} 108)

A) Domain: { 9, 10, 5, 10}; range: { -2,

7, 5, 9}

C) Domain: { 9, 10, 5}; range: { -2, 7, 5,

9}

Answer: C

B) Domain: { 9, 10, 5, -10}; range: { -2,

7, 5, 9}

D) Domain: { -2, 7, 5, 9}; range: { 9, 10,

5}

109) {( -9, -2), ( -6, -3), ( -3, -5), ( -2, 1 )} 109)

A) Domain: { -9, -3, -6, -2}; range: { -2, -5, -3, 1}

B) Domain: { -2, -5, -3, 1}; range: { -9, -3, -6, -2}

C) Domain: { -9, -3, -6, -2}; range: { -2, -2, -5, -3, 1}

D) Domain: { -9, -3, -6, -2}; range: { -2, 2, -5, -3, 1}

Answer: A

Tell whether the relation is a function.

110) {( -3, 7), ( 3, 3), ( 4, -8), ( 7, 1), ( 10, 3)} 110)

A) Function B) Not a function

Answer: A

111) {( -5, -8), ( -2, 5), ( 1, 8), ( 1, 8)} 111)


Answer: B

112) {( -9, -4), ( 2, 7), ( 3, -8), ( -9, 7), ( 8, -2)} 112)


Answer: B

113) {( 8, 8), ( 1, -3), ( 5, -3), ( 10, 4), ( 1, -9)} 113)


Answer: B

114) {( -4, -8), ( -3, 2), ( 2, -7), ( 8, 2)} 114)


Answer: A

115) {( 8, -6), ( -8, -8), ( 2, 6), ( 3, 7), ( -8, -6)} 115)


Answer: B

116) {( -7, 1), ( -3, -1), ( -1, -8), ( 3, 6)} 116)


Answer: A

117) {( -4, -2), ( -3, 6), ( 1, -7), ( 1, 4)} 117)


Answer: B

118) {( -4, 4), ( -2, -3), ( 4, 1), ( 7, -8)} 118)


Answer: A

119) {( -1, 9), ( 1, 3), ( 6, -1), ( 7, 9), ( 10, 6)} 119)


Answer: A

120) 120)


Answer: A

121) 121)


Answer: B

122) 122)


Answer: A

123) 123)


Answer: B

124) 124)


Answer: A

125) 125)


Answer: B

126)

_


Answer: A

127) 127)


Answer: B

128) 128)


Answer: A

129) 129)


126)

Answer: A

130) 130)


Answer: B

131) 131)


Answer: B

132) 132)


Answer: A

133)

_


Answer: A

134) 134)


Answer: A

135) 135)


Answer: B

136)

133)

136)

A) Function B) Not a Function

Answer: A

137) 137)


Answer: A

Find the function value.

138)

f(2) if f(x) =

A) -3 B) -6 C) -5 D) -4

Answer: C

139) f

f(-6) for the function f

A) -16 B) -7 C) 15 D) -15

Answer: C

140)

f( 3) if f(x) = y

A) 5 B) -6 C) -4 D) -8

Answer: D

138)

139)

140)

Find f(x) at the indicated value of x.

141) f(x) = -2x + 2, x = 1 141)

A) 0 B) -1 C) 4 D) -2

Answer: A

142) f(x) = -5x

A) 24

Answer: B

+ 9, x = 6 B) -21

C) -39

D) 4

142)

143) f(x) = -5x

A) 7

+ 2, x = 1

B) -4

C) -8

D) -3

143)

Answer: D

144) f(x) = 16x + 7, x = 0

144)

A) 0 B) 7 C) 23 D) 16

Answer: B

145) f(x) = -3 - 5x + 5, x = 3

145)

A) -19 B) -41 C) -37 D) -47

Answer: C

146)

f(x) = -2 - 9x + 1, x = -4 146)

A) -5 B) 1 C) 45 D) 5

Answer: D

147) f(x) = , x = 225 147)

A) 15 B) 17 C) 50,625 D) 30

Answer: A

148) f(x) = 9, x = 3 148)

A) 9 B) 3 C) 12 D) 27

Answer: A

149) f(x) = , x = 5 149)

A) 5 B) 4 C) 6 D) -4

Answer: B

Use the graph of y = f(x) to find the function value.

150) f( -1) 150)

A) -3 B) 3 C) -2 D) 2

Answer: A

151) f( -2) 151)

A) -4 B) 1 C) -1 D) 4

Answer: B

Solve the problem.

152) The function f, given in the diagram below, computes the average cost of an item during year x.

Evaluate

A) 460 B) 510 C) 420 D) 570

Answer: A

153) The function given by the equation f(x) = 3.785x will convert x gallons into If a

container will hold 21 gallons, how many liters will it hold? Round your answer to the nearest

hundredth, if necessary.

A) 78.79 liters B) 79.49 liters C) 80.06 liters D) 79.63 liters

Answer: B

154) Bob finds that the cost of driving his truck is 68 cents per mile. Give a numerical representation,

in the form of a table, for a function f that computes the cost in dollars of driving x miles. Let

152)

153)

154)

.

.

C)

.

D)

.

A)

B)

Answer: C

155) The following table lists the monthly precipitation P, in inches, in Salem, Missouri, where

corresponds to January and x = 9 corresponds to September.

155)

Determine the value of P during September.

A) 1.7 inches B) 2.4 inches C) 1.2 inches D) 1.4 inches

Answer: D


156) Using set-builder notation, a set S is written as {x ∣ -10 ≤ x ≤ -1}. Which of the elements of the

following set is not an element of S: { -10, -5, -2, 0}

A) -10 B) -2 C) -5 D) 0

Answer: D

156)

157) For the function with domain of find the range. 157)

A) (-∞, 1] B) (-∞, -3] C) [ -3, ∞) D) [ -9, -3]

Answer: B

158)

Use the graph of the function above to find the element of the domain that corresponds to the

element of the range that equals 4.

A) -1 B) -7 C) 3 D) 1

Answer: A

158)

159) Use

the

ent of

the

grap range

h of

the

that

corres

funct ponds

ion to the

abov eleme

e to

find

the

nt of

the

domai

elem n that

equals

-5.

159)

_

A) 4 B) -1 C) 5 D) -4

Answer: A

160)

Use the graph of the function above to find the element of the range that corresponds to the

element of the domain that equals 2.

A) 1

B) -3

C) -1

D) None of the above, since 2 is not in the domain of the function.

Answer: C

160)

161)

Use the graph of the function above to find the element of the range that corresponds to the

element of the domain that equals 4.

A) 3

B) 0

C) 2

D) None of the above, since 4 is not in the domain of the function.

Answer: D

161)

Graph the line. Also, give the x-intercept (if any), y-intercept (if any), and slope of the line (if defined).

162)

f(x) = x + 3

_

163)

A) x-intercept: 6; y-intercept: -3;

slope:

C) x-intercept: 6; y-intercept: 3;

slope: -

Answer: D

f(x) = - x + 2

B) x-intercept: -6; y-intercept: -3;

slope: -

D) x-intercept: -6; y-intercept: 3;

slope:

162)

163)

_

A) x-intercept: 8; y-intercept: -2;

slope:

C) x-intercept: -8; y-intercept: -2;

slope: -

Answer: D

164) f(x) = -6

B) x-intercept: -8; y-intercept: 2;

slope:

D) x-intercept: 8; y-intercept: 2;

slope: -

_

A) x-intercept: none; y-intercept: -6;

slope: 0

C) x-intercept: none; y-intercept: -6;

slope: undefined

Answer: A

B) x-intercept: -6; y-intercept: none;

slope: undefined

D) x-intercept: -6; y-intercept: none;

slope: 0

165) x = -5 165)

164)

A) x-intercept: none; y-intercept: -5;

slope: 0

C) x-intercept: -5; y-intercept: none;

slope: undefined

Answer: C

B) x-intercept: 0; y-intercept: 0;

slope: -5

D) x-intercept: 5; y-intercept: none;

slope: undefined

Graph the linear function. Give the domain and range.

166) f(x) = 2x - 5 166)

A) Domain: (-∞, ∞); range: (-∞, 6)

B) D

o

m

ai

n:

(-

∞,

∞)

;

ra

ng

e:

(-

∞,

∞)

C) Domain: (-∞, ∞); range: (-∞, ∞) D) Domain: (-6, 6); range: (6, 6)

Answer: B

167) f(x) = x + 5

167)

_

A) Domain: (-∞, ∞); range: (-6, 6) B) Domain: (-∞, ∞); range: (-∞, ∞)

C) Domain: (-∞, ∞); range: (-∞, ∞) D) Domain: (-6, ∞); range: (-∞, 6)

Answer: B

168) f(x) = -2x

168)

_

A) Domain: (-∞, ∞); range: (-∞, ∞) B) Domain: (-∞, ∞); range: (-∞, ∞)

C) Domain: (-∞, 0); range: (0, ∞) D) Domain: (-∞, ∞); range: (-∞, 0)

Answer: B

169)

f(x) = x - 2

169)

_

A) Domain: (-∞, ∞); range: (-∞, ∞) B) Domain: (-∞, 0); range: (0, ∞)

C) Domain: (-6, 6); range: (-6, 6) D) Domain: (-∞, ∞); range: (-∞, ∞)

Answer: D

170)

f(x) = x

170)

_

A) Domain: (-∞, ∞); range: (0, ∞) B) Domain: (-∞, ∞); range: (-∞, ∞)

C) Domain: (-∞, ∞); range: (0, ∞) D) Domain: (-∞, ∞); range: (-∞, ∞)

Answer: B

171) f(x) = -1

_

A) Domain: (-∞, ∞); range:{-1} B) Domain: {-1}; range: (-∞, ∞)

C) Domain: {-1}; range: (-∞, ∞) D) Domain: (-∞, ∞); range:{-1}

Answer: A

Evaluate the function.

172) Find f( -11) when f(x) = 8x - 18. 172)

A) 70 B) -70 C) -106 D) -89.8

Answer: C

173) Find f( -8.7) when f(x) = -2x + 0.98. 173)

A) 18.38 B) 16.42 C) 27.2 D) -16.42

Answer: A

174) Find f( -3.9) when f(x) = -7.3x - 5. 174)

171)

A) 27.97 B) -33.47 C) 33.47 D) 23.47

Answer: D

175)

Find f( -3) when f(x) = x + .

175)

A) B)

- -

C) D)

-

Answer: B

176) Find f( 0.9) when f(x) = -3x - 3.1. 176)

A) -3.01 B) 0.4 C) -5.8 D) -0.4

Answer: C

177)

Find f( -2) when f(x) = .

A) B) C)

D) 1 Answer: C

177)

Find the zero of f.

178) f(x) = 3x + 6 178)

A) -2 B) 6 C) 2 D) -6

Answer: A

179)

f(x) = x +

A) B)

- -

Answer: A

C) D)

179)

180)

f(x) = x

A) 0 B) -3 C) 3 D) Does not exist

Answer: A

180)

181) f(x) = 3x 181)

A) 3 B) 0 C) -3 D) Does not exist

Answer: B

Give the equation of the line illustrated.

182)

_

A) y = 4 B) y = -4 C) x = 4 D) x = -4

Answer: B

183) 183)

A) x = 2 B) x = -2 C) y = -2 D) y = 2

Answer: B

Graph the linear function on a graphing calculator, using the window given. State whether the window shows a

comprehensive graph.

184) f(x) = -5x + 6; window: [ -7, 14] by [ -7, 10] 184)

A) Yes B) No

Answer: A

Find the slope (if defined) of the line that passes through the given points.

185) ( -5, -1) and ( 4, -3) 185)

A) 4 B) C) D)

- -

Answer: D

186) ( 6, 7) and ( 6, 2) 186)

A) Undefined B) 0 C) D)

Answer: A

187) ( 2, 4) and ( 6, 4) 187)

A) Undefined B) 1 C) 0 D) 2

182)

A) B)

Answer: C

188) (0. 5, 0. 4) and (0. 2, 0. 3) 188)

A) 3 B) C) 1 D)

-

Answer: B

189) ( 5, -4) and ( 14, 10) 189)

A) B) C) D)

-

Answer: B

The graph of a linear function f is shown. Identify the slope.

190) 190)

Answer: A

C) -4 D)

191) 191)

-

Answer: B

C) D)

-

192)

A) B) 4

_

A) 1 B) -1 C) 0 D) Undefined

Answer: C

193) 193)

C) 0 D) Undefined

Answer: D

The graph of a linear function f is shown. Identify the y-intercept and x-intercept.

194) 194)

A) y-intercept: -3; x-intercept: 3 B) y-intercept: 3; x-intercept: 3

C) y-intercept: -3; x-intercept: -3 D) y-intercept: 3; x-intercept: -3

Answer: A

192)

A) B) -1

195) 195)

A) y-intercept: 2; x-intercept: - 1 B) y-intercept: -2; x-intercept: - 1

C) y-intercept: 2; x-intercept: 1 D) y-intercept: -2; x-intercept: 1

Answer: B

Graph the line passing through the given point and having the given slope.

196)

Through (0, 5), m =

A) B)

C)

196)

D)

Answer: A

197) Through ( -3, 0), m = 2 197)

A) B)

C) D)

Answer: A

198) Through (0, 5), m = -6 198)

A) B)

C) D)

Answer: B

199)

Through (0, 6), m = -

199)

A) B)

C) D)

Answer: A

200)

Through ( 6, 0), m = -

200)

A) B)

C)

D)

Answer: D

201)

Through (0, 6), m = -

201)

A) B)

C) D)

Answer: B

202) Through ( -2, -5), m = 0 202)

A) B)

C) D)

Answer: D

203) Through ( -3, -3), undefined slope 203)

A) B)

C) D)

Answer: C

Solve the problem.

204) Suppose the annual sales of a particular brand of appliance are given by the linear function

where f(x) represents the number of sales in year x, with x = 0 corresponding

to 1982. Find the number of sales in 19 89.

A) 6430 B) 6540 C) 3270 D) 3160

Answer: C

205) Assume that the annual sales of a small manufacturer can be modeled by a linear function and

that sales were $ 5000 in 1982 and $ in 1987. Let x = 0 represent 1982 and f(x) represent

annual sales, and write a formula for f(x).

A) f(x) = 16,200x + 86,000 B) f(x) = 81,000x + 5000

C) f(x) = 16,200x + 5000 D) f(x) = 81,000x + 86,000

Answer: C

206) A moving firm charges a flat fee of $ 45 plus $ 40 per hour. Let f(x) represent the cost, in dollars,

of using the moving firm for x hours. Write a formula for f(x).

204)

205)

206)

A) f(x) = 40x -

45

Answer: B

B) f(x) = 40x +

45

C) f(x) = 45x -

40

D) f(x) = 45x +

40

207) An electrician charges a fee of $ 40 plus $ 25 per hour. Let f(x) be the cost, in dollars, of using the

electrician for x hours. Find a formula for f(x).

207)

A) f(x) = 25x -

40

Answer: C

B) f(x) = 40x -

25

C) f(x) = 25x +

40

D) f(x) = 40x +

25

208) Ace Cable charges $ 24 for the basic service plus $ 5 for each movie channel. Let f(x) be the total

cost, in dollars, of subscribing to Ace Cable and including x movie channels. Write a formula for

f(x).

208)

A) f(x) = 24x - 5 B) f(x) = 5x - 24 C) f(x) = 5x +

24

D) f(x) = 24x +

5

Answer: C


209) In the linear function, y = mx + b, b is the ? of the function. 209)

A) y-intercept B) domain C) slope D) x-intercept

Answer: A

210) In the linear function, y = mx + b, m is the ? of the function. 210)

A) range B) x-intercept C) slope D) y-intercept

Answer: C

211) In the linear function, y = -2 - 15x, -2 is the ? of the function. 211)

A) slope B) x-intercept C) domain D) y-intercept

Answer: D

212) If the y-intercept of the linear function y = 5x + b lies below the x-axis, then what can you say

about b?

A) b > 0 B) b < 0 C) b ≥ 0 D) b = 0

Answer: B

212)

213) If m < 0, the graph of y = mx + b ? . 213)

A) slopes upward to the right B) slopes downward to the right

C) has no intercept D) is a horizontal line

Answer: B

214) For the equation y = mx + b, find a formula for the value of x given any value of y. 214)

A) B)

x = x =

C) x = y - mx - b D)

x =

Answer: D

Write the slope-intercept form of the line that passes through the given point with slope m.

215)

Through ( 3, 4), m = -

215)

A)

y = - x +

B)

y = x +

C)

y = x -

D)

y = - x +

Answer: A

216)

Through ( 2, 5), m = -

A)

y = - x +

Answer: D

B)

y = x +

C)

y = x -

D)

y = - x +

216)

217) Through ( 2, 1), m = 0 217)

A) y = 1 B) y = 2 C) x = 1 D) x = 2

Answer: A

218) Through ( 5, 0), m = -1 218)

A) y = x - 5 B) y = -5x C) y = -x + 5 D) y = 5x

Answer: C

219) Through ( -4, 5), m = -2 219)

A) y = -2x + 13 B) y = 2x - 3 C) y = -2x - 3 D) y = 2x + 13

Answer: C

220) Through ( 1, 6), m = -2.5 220)

A) y = 2.5x +

3.5

Answer: B

B) y = -2.5x +

8.5

C) y = 2.5x +

8.5

D) y = -2.5x +

3.5

Find the slope-intercept form of the line satisfying the given conditions.

221) Through ( -5, -3) and ( 0, -7) 221)

A)

y = - x - 7

B)

y = x - 7

C)

y = - x - 7

D)

y = x - 7

Answer: A

222) Through ( 4, 0) and ( -7, -2) 222)

A)

y = - x -

B)

y = - x -

C)

y = x -

D)

y = x -

Answer: D

223) Through ( 3, 0) and ( -5, -3) 223)

A)

y = - x -

B)

y = x -

C)

y = x -

D)

y = - x -

Answer: C

224) Through ( 10, 1) and ( 7, 3) 224)

A)

y = x -

B)

y = - x -

C)

y = x +

D)

y = - x +

Answer: D

225) Through (0, 1) and ( 5, 0) 225)

A)

y = - x + 1

B) y = 5x + 5 C) y = - 5x + 5 D) y = x + 1

Answer: A

226) Through ( 10, 4.5) and ( 12, 8.5) 226)

A) y = -2x - 15.5 B) y = -0.5x - 15.5 C) y = 0.5x -

15.5

D) y = 2x - 15.5

Answer: D

A)

227) 227)

A) y = -8x + 24 B) y = 8x + 24 C) y = -4x + 8 D) y = 4x + 8

Answer: D

228) 228)

A) y = -8x - 10 B) y = -4x + 6 C) y = 4x + 6 D) y = 8x - 10

Answer: B

Graph the line, finding intercepts to determine two points on the line.

229) 10y - 2x = -8 229)

x: - ; y: -4

B)

x: 4; y: -

C)

x: - ; y: 4

D)

Answer: B

230) 3x - 12y = 12 230)

A) ( -1, 0), (0, 4)

x: -1; y: 4

C) x: 4; y: - 1

B) x: -4; y: 1

x: -4; y: -

Answer: C

D) x:

1;

y:

-4

231) 2x - 12y = 0 231)

A) x: 0; y: 0 B) x: 0; y: 0

C) x: 0; y: 0

A)

Answer: A

D) x:

0;

y:

0

232) 8x - y = -3 232)

x: ; y: 3

B)

x: 3; y:

C)

x: - ; y: 3

D) x:

-

;

y:

8

Answer: C

233) 7x - 7y = 4.9 233)

A) x: 0.7; y: -0.7 B) x: -0.7; y: 0.7

C) ( 0.7, 0), (0, 0.7)

Answer: A

D) x:

7;

y:

0.

7

Write the equation in the form y = mx + b.

234) 4x + 3y = 8 234)

A)

y = - x +

B) y = 4x - 8 C) y = x +

D)

y = x -

Answer: A

235) -3x + 2y = 1 235)

A)

y = x +

B)

y = x -

C)

y = - x +

D)

y = x +

Answer: A

236) 0. 8x - 0. 4y = 0. 8 236)

A) y = 2x - 2 B) y = 2x + 2 C) y = 8x - 8 D)

Answer: A

y = x + 1

237) 7y - 6x = 19 237)

A)

y = x +

B)

y = x -

C)

y = - x +

D)

y = x +

Answer: D

Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible.

238) Through ( -7, 1), perpendicular to -5x - 8y = 27 238)

A)

y = x +

B)

y = - x -

C)

y = x + 61

D)

y = x

Answer: A

239) Through ( -1, 4), parallel to 7x - 2y = -5 239)

A)

y = x +

B)

y = x + C)

y = - x -

D)

y = - x +

Answer: A

240) Through ( -5, -2), parallel to 8x - 3y = -31 240)

A)

y = - x +

B)

y = x +

C)

y = - x - D)

y = x -

Answer: B

241) Through ( 1, -7), perpendicular to 8x + 5y = 43 241)

A)

y = x -

B)

y = - x - C)

y = x -

D)

y = x +

Answer: C

242) Through ( 5, 3), perpendicular to -7x - 6y = -53 242)

A)

y = x

B)

y = - x +

C)

y = x - 9

D)

y = x -

Answer: D

243) Through ( -8, 3), perpendicular to x = -1 243)

A) x = -1 B) y = -1 C) y = -3 D) y = 3

Answer: D

Solve the problem.

244) If an object is dropped from a tower of unknown height, the velocity of the object after t seconds

can be obtained by multiplying t by 32 and adding 10 to the result. Therefore, you can express V

as a linear function of t. Find the domain of this function.

A) [0, ∞) B) (-∞, ∞) C) (-1, ∞) D) [1, 4]

Answer: A

245) In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.60 as

soon as you get in the taxi, to which a charge of $1.90 per mile is added. Find an equation that

can be used to determine the cost, C(x), of an x-mile taxi ride.

A) C(x) = 4.50x B) C(x) = 2.60 + 1.90x

C) C(x) = 1.90 + 2.60x D) C(x) = 3.00x

Answer: B

246) Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with an embroidery of a

Great Pyrenees dog on the front. There are fixed costs of $630 to set up for production, and

variable costs of $36 per jacket. Write an equation that can be used to determine the total cost,

244)

245)

C(x), ed by

enco Marty'

unters

Compan

y in

producin

g x

jackets.

246)

_

A) C(x) = 630x + 36 B) C(x) = ( 630 + 36) x

C) C(x) = 630 + 36x D) C(x) = 630 - 36x

Answer: C

247) Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with a embroidery of a

Great Pyrenees dog on the front. There are fixed costs of $690 to set up for production, and

variable costs of $41 per jacket. Write an equation that can be used to determine the total cost,

C(x), encountered by Marty's Company in producing x jackets, and use the equation to find the

total cost of producing 131 jackets.

A) $6061 B) $6053 C) $6041 D) $6073

Answer: A

248) Ten students in a graduate program were randomly selected. Their grade point averages (GPAs)

when they entered the program were between 3.5 and 4.0. The following data were obtained

regarding their GPAs on entering the program versus their current GPAs. Find the equation of

the least-squares regression line that models the data.

Entering GPA Current GPA

3.5 3.6

3.8 3.7

3.6 3.9

3.6 3.6

3.5 3.9

3.9 3.8

4.0 3.7

3.9 3.9

3.5 3.8

3.7 4.0

A) y ≈ 2.51 + 0.329x B) y ≈ 5.81 + 0.497x

C) y ≈ 3.67 + 0.0313x D) y ≈ 4.91 + 0.0212x

Answer: C

249) The paired data below consist of the test scores of 6 randomly selected students and the number

of hours they studied for the test. Find the equation of the least-squares regression line that

models the data.

A) y ≈ 67.3 + 1.07x B) y ≈ 33.7 - 2.14x

C) y ≈ 33.7 +2.14x D) y ≈ -67.3 + 1.07x

Answer: A

250) The paired data below consist of the costs of advertising (in thousands of dollars) and the

number of products sold (in thousands). Find the equation of the least-squares regression line

that models the data

247)

248)

249)

250)

A) y ≈ 26.4 + 1.42x B) y ≈ -26.4 - 1.42x

C) y ≈ 55.8 - 2.79x D) y ≈ 55.8 + 2.79x

Answer: D

251) The paired data below consist of the temperatures on randomly chosen days and the amount a

certain kind of plant grew (in millimeters). Find the equation of the least-squares regression line

that models the data.

A) y ≈ 7.30 + 0.122x B) y ≈ -14.6 - 0.211x

C) y ≈ 7.30 - 0.112x D) y ≈ 14.6 + 0.211x

Answer: D

252) A study was conducted to compare the average time spent in the lab each week versus course

grade for computer students. The results are recorded in the table below. Find the equation of

the least-squares regression line that models the data.

Number of hours spent in lab Grade (percent)

10 96

11 51

16 62

9 58

7 89

15 81

16 46

10 51

A) y ≈ 88.6 - 1.86x B) y ≈ 0.930 + 44.3x

C) y ≈ 1.86 + 88.6x D) y ≈ 44.3 + 0.930x

Answer: A

253) Two separate tests are designed to measure a student's ability to solve problems. Several

students are randomly selected to take both tests and the results are shown below. Find the

equation of the least-squares regression line that models the data.

A) y ≈ -19.4 - 0.930x B) y ≈ 0.930 - 19.4x

C) y ≈ -0.930 + 19.4x D) y ≈ 19.4 + 0.930x

Answer: D


254) A line passes through the points ( 6, 6) and ( 6, 8). The equation of this line is ? . The slope of

the line is ? .

A) y = 6; 0 B) y = 6; undefined

C) x = 6; undefined D) x = 6; 0

Answer: C

251)

252)

253)

254)

255) A line passes through the points ( 4, 5) and ( 3, 5). The equation of this line is ? . The slope of the line is

? . 255)

_

A) y = 5; undefined B) x = 5; undefined

C) y = 5; 0 D) x = 5; 0

Answer: C

256) What is the general equation of all lines of slope 1? 256)

A) y = x + b B) y = mx + b C) y = 1 D) x = 1

Answer: A

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

257) Explain why the rule that the product of the slopes of perpendicular lines equals -1 does

not apply when one of the lines is horizontal.

Answer: A horizontal line has slope 0. The line perpendicular to this is vertical with

undefined slope.

257)


258) Write the general equation of any line that passes through the origin. 258)

A) y = mx B) y = mx + b C) x = 0 D) y = 0

Answer: A


259) Show that the points P1(2, 4), P2(5, 2), and P3(7, 5) are the vertices of a right triangle. 259)

Answer: Answers will vary. One possibility: The slope of the line through P1 and P2 is -2/3.

The slope of the line through P2 and P3 is 3/2. Therefore, since the product of

these slopes is the lines are perpendicular and constitute a right angle in the

triangle, making the triangle formed by these points a right triangle.


Find the zero of the function f.

260) f(x) = x +

A)

-

Answer: A

B) C)

-

260)

D)

261) f(x) = 4x + 8 261)

A) 8 B) -2 C) -8 D) 2

Answer: B

262)

f(x) = x

A) 0 B) -2 C) 2 D) Does not exist

Answer: A

262)

263) f(x) = 17x 263)

A) 0 B) 17 C) -17 D) Does not exist

Answer: A

264) f(x) = 10x - 4 264)

A) -4 B)

Answer: B

C) - D) 4

265) f(x) = -3( -6x + 5) + 5( -7x + 4) 265)

A) B)

- - C) D)

-

Answer: C

Two linear functions, and , are graphed with their point of intersection indicated. Give the solution set of

266) 266)

A) {-2} B) {-1} C) {3} D) {-4}

Answer: B

267) 267)

C) D)

Answer: A

268) 268)

C) {2} D) {-3}

Answer: A

269)

A) B)

A) {3} B)

_

A) {1} B) {-2} C) {4} D) {2}

Answer: A

270) 270)

A) {1} B) {-2} C) {-1} D)

Answer: C

271) 271)

A) {4} B) {2} C) {8} D)

Answer: B

272) 272)

A) {8} B) {5.6} C) {6} D) {-3.2}

Answer: D

273)

269)

_

A) {8} B) C) {6} D)

Answer: B

274) 274)

A) {-1.6} B) {-3.6} C) D) {-16}

Answer: A

275) 275)

A) {10} B) {-4} C) {3} D) {-7}

Answer: C

Use the graph of y = to solve the equation where and represent linear functions.

276) 276)

A) {-4} B) {0} C) {-3} D) {-5}

Answer: A

273)

277) 277)

A) {-4} B) {0} C) {-6} D) {-5}

Answer: D

278) 278)

A) {2.5} B) {5} C) {0} D) {3}

Answer: A

279) 279)

A) {4} B) {2} C) {0} D) {5}

Answer: A

280) 280)

A) {-2} B) {0} C) {-1} D)

Answer: A

281)

_

A) {0} B) {-5} C) {5} D) {4}

Answer: C

282) 282)

A) {0} B) {13} C) {-7} D) {-6.5}

Answer: D

283) 283)

A) {6} B) {5} C) {5.5} D) {0}

Answer: C

284) 284)

A) {0} B) {-15} C) {16} D) {15}

Answer: D

285)

281)

_

A) {0} B) {-12} C) {-11} D) {12}

Answer: D

Solve the equation analytically.

286) 4x + 20 =

A) { 16}

3x + 4 B) { -16}

C) { 24}

D) { -24}

286)

Answer: B

287) 16x + 3 =

A)

4x + 13

B)

287)

C)

D)

Answer: A

288) 26(x - 104) = 52 288)

A) { 102} B) { 104} C) { 52} D) { 106}

Answer: D

289) 6x - ( 4x - 1) = 2 289)

A) B) C) D)

Answer: D

290) (x - 9) - (x + 6) = 6x 290)

A) B) C) D)

Answer: D

291) 3( 8x - 1) = 12 291)

A) B) C) D)

Answer: C

292) 4x - ( 5 - x) = 3[ 4 - ( 4 + 7x - 8)] 292)

A) B) C) D)

Answer: C

293) -[x - ( -5x + 4)] = 1 - ( 7x + 3) 293)

A) B) C) D)

Answer: D

285)

294) -6.9x = -25.5 - 1.8x 294)

A) { 4.0} B) { 5} C) { -31} D) { 3.7}

Answer: B

295) -8.5x + 1.1 = -40.3 - 1.6x 295)

A) { 6} B) { 4.9} C) { -48} D) { 5.1}

Answer: A

296)

297)

298)

299)

300)

301)

x - x = 4

A) { 60} B) { 120} C) { -120} D) { -60}

Answer: A

x - x = 4

A) { 28} B) { 32} C) { -28} D) { -32}

Answer: D

=

A) B) C) D) {1}

Answer: D

( 6x - 15) = ( 20x - 8)

A) { - 10} B) {1} C) {-1} D)

Answer: C

=

A) B) C)

D) Answer: C

+ = -

A) B) C) D)

Answer: C

296)

297)

298)

299)

300)

301)

Use the intersection-of-graphs method to approximate the solution to the nearest hundredth.

302) 2( 0.36x + ) = x - 9 302)

A) { 188.85} B) { 8.58} C) { -8.58} D) ∅

Answer: B

303) -8πx - = 0.16πx + 303)

A) { -6.58} B) { -0.30} C) { 0.30} D) ∅

Answer: B

304) 10( 0.45x + ) = x - 7 304)

A) { -530.48} B) { -24.11} C) { 24.11} D) ∅

Answer: B

305) 4πx - = 0.72πx + 305)

A) { 14.23} B) { 0.65} C) { -0.65} D) ∅

Answer: B

306) - 3x) + 0.61(πx + 5.0) = -11 306)

A) { -1.20} B) { 2.39} C) { -2.39} D) ∅

Answer: C

307) + 9x) - 0.88(πx - 0.8) = -2 307)

A) { 0.17} B) { 0.09} C) { -0.09} D) { -0.17}

Answer: A

308) -8.0( 8 + x) + 1.8( 19πx - 4.5) = -20 308)

A) { -1.51} B) { -0.66} C) { 1.51} D) { 0.66}

Answer: D

309) 4.8( 15 + x) - 2.1( 4πx - 3.9) = 19 309)

A) { 10.16} B) { -0.10} C) { 0.10} D) { -10.16}

Answer: A

310) -7.79( 2 + x) - 4(π2x + ) = 4x - 2 310)

A) { -0.71} B) { 0.34} C) { -0.34} D) { 0.71}

Answer: C

311) -8.69( 4 + x) - 8(π2x + ) = -5x - 9 311)

A) { -0.89} B) { -0.43} C) { 0.43} D) { 0.89}

Answer: B

Classify the equation as a contradiction, an identity, or a conditional equation.

312) 5( 4x - 16) = 20x - 80 312)

A) Conditional B) Identity C) Contradiction

Answer: B

313) 4( 4x + 14) - 16x - 56 = 0 313)

A) Conditional B) Contradiction C) Identity

Answer: C

314) 25x + 34 = 5( 5x + 6) 314)

A) Identity B) Conditional C) Contradiction

Answer: C

315) -15x + 49 + 3( 5x - 15) = 0 315)


Answer: B

316) 5(x + 9) - 2(x + 9) = 3x + 27 316)


Answer: C

317) 5x - ( 9 - x) = 3[ 4 - ( 7 + 8x - 9)] 317)

A) Contradiction B) Identity C) Conditional

Answer: C

318) 3(x + 8) - 7(x + 8) = -4x + 80 318)

A) Contradiction B) Conditional C) Identity

Answer: A

319) -[x - ( -2x + 8)] = 3 - ( -9x + 6) 319)

A) Identity B) Contradiction C) Conditional

Answer: C

320) 6[ 5 - ( 7 + 9x)] - 6x = -30 + 2( 7 - 30x) 320)


Answer: B

Refer to the graph of the linear function defined by or the graph of the linear functions defined by

and to solve the equation or inequality.

321)

y1 = y2

A) {5} B) {-3} C) {2} D) {-4}

Answer: B

321)

322) 322)

A) [-3, ∞) B) (-∞, -3] C) (-3, ∞) D) (-∞, -3)

Answer: B

323)

≤

_

y1 > y2 A) (-∞, ∞) B) (5, ∞) C) ∅ D) (-2, ∞)

Answer: A

324)

f(x) ≤ 0

A) [-6, ∞) B) [3, ∞) C) (-∞, 3] D) (-∞, -6]

Answer: C

324)

325)

g(x) ≤ f(x)

A) [2, ∞) B) [10, ∞) C) (-∞, 2] D) (-∞, 10]

Answer: C

325)

326)

y2 - y1 = 0

A) {5} B) {4} C) {9} D) {2}

Answer: D

326)

323)

327)

y1 - y2 > 0

A) (10, ∞) B) (-∞, 2) C) (2, ∞) D) (-∞, 10)

Answer: B

327)

328)

y1 ≥ y2

A) (-5, ∞) B) (6, ∞) C) (-∞, ∞) D) ∅

Answer: C

328)

329)

y1 ≤ y2

A) ∅ B) (3, ∞) C) (-∞, -3) D) (-∞, ∞)

Answer: A

329)

330)

f(x) < 0

A) (-4, ∞) B) (-∞, -4) C) (-∞, -5) D) (-5, ∞)

330)

Answer: D

Solve the inequality analytically, writing the solution set in interval notation.

331) x - 8 < -7 331)

A) (-∞, 1] B) [ 1, ∞) C) (-∞, 1) D) ( 1, ∞)

Answer: C

332) -5 a - 10 > -6 a - 22 332)

A) (-∞, -32) B) ( -12, ∞) C) (-∞, -12) D) ( -32, ∞)

Answer: B

333) 12x + 9 ≤ 11x + 17 333)

A) (-∞, 8] B) ( 12, ∞) C) [ 8, ∞) D) (-∞, 12)

Answer: A

334) 5x - 3 ≥ 4x + 1 334)

A) ( 5, ∞) B) (-∞, 4] C) (-∞, 5) D) [ 4, ∞)

Answer: D

335) -5x - 11 ≥ -4x - 7 335)

A) (-∞, -5] B) ( -5, ∞) C) [ 4, ∞) D) (-∞, -4]

Answer: D

336) 5 - 5 x + 6 ≥ -6 x + 16 336)

A) ( -5, ∞) B) (-∞, 5] C) (-∞, -5) D) [ 5, ∞)

Answer: D

337) 18 a - 30 > 6( 2 a - 3)

A) (-∞, 18)

B) ( 18, ∞)

C) ( 2, ∞)

D) (-∞, 2)

337)

Answer: C

338) -2( 4x + 12) < -10x - 18

A) ( -10, ∞)

B) (-∞, -10)

C) (-∞,

3) D) ( 3, ∞)

338)

Answer: C

339)

340)

<

A) B) C) D)

Answer: B

< -

A) B) C) D)

Answer: B

339)

340)

Solve the problem.

341)

less than $3.15 and (ii) an annual interest of $3.15 or more. 341)

The

function

f

compute

s the

annual

interest

paid on

savings

of x

dollars

with an

interest

rate of

9%. The

graph of

f and the

horizont

al line

are

shown in

the

figure.

Determi

ne the

savings

amounts

that

result in

(i) an

annual

interest

A) Between $0 and $35; $35 or more B) $35 or more; $35

C) Between $5 and $35; $35 or more D) $35 or less; between $35 and $40

Answer: A

342) A retailer knows that n games can be sold in a month if the price is dollars per game. If

he buys each game for $ 12, and if he wishes to make a profit of at least per month on sales

of this game, how many games must he sell each month?

A) 20 ≤ n ≤ 20 B) 20 ≤ n ≤ 30 C) 20 ≤ n ≤ 60 D) 20 ≤ n ≤ 40

Answer: D

343) A salesperson has two job offers. Company A offers a weekly salary of $ 270 plus commission of

18% of sales. Company B offers a weekly salary of $ 540 plus commission of 9% of sales. What

is the amount of sales above which Company A's offer is the better of the two?

A) $ 6000 B) $ 1500 C) $ 3100 D) $ 3000

Answer: D

344) A car rental company has two rental rates. Rate 1 is per day plus per mile. Rate 2 is

per day plus per mile. If you plan to rent for one day, how many miles would you

need to drive to pay less by taking Rate 2?

A) More than 1200 miles B) More than 700 miles

C) More than 300 miles D) More than 600 miles

Answer: D

342)

343)

344)

Solve the inequality analytically, writing the solution set in interval notation.

345) -18 < -3x ≤ -6 345)

A) ( -6, -2] B) [ 2, 6] C) [ 2, 6) D) ( 2, 6)

Answer: C

346) 10 < 4x + 2 ≤ 26 346)

A) [ 2, 6] B) ( 2, 6) C) ( 2, 6] D) [ 2, 6)

Answer: C

347) 9 < -2x + 3 ≤ 17 347)

A) [ -7, -3) B) ( 3, 7] C) [ 3, 7) D) ( -7, -3]

Answer: A

348)

3 < < 4

A) B)

348)

C) D)

∪

Answer: A

349)

-9 < ≤ 7

A) ∪ B)

C) D)

Answer: B

349)

350) -6 < 2x + 2 ≤ 2 350)

A) [ -4, 0] B) ( -4, 0] C) [ -4, 0) D) ( -4, 0)

Answer: B



351) Explain how the equality is supported by the graphs

and in a standard viewing window

Answer: The graphs would appear to coincide.

352) When using the intersection-of-graphs method of graphical solution, explain the

significance of the at the bottom of the graphing calculator display.

Answer: It is the x value at the point of intersection of the two lines, which is the solution to

the linear equation.

351)

352)

353) When using the intersection-of-graphs method of graphical solution, explain the 353)

significance of the at the bottom of the graphing calculator display.

Answer: It is the value of each side of a linear equation at the solution value.

354) When using the intersection-of-graphs method of graphical solution, explain the

significance of obtaining two parallel lines in an appropriate viewing window.

354)

Answer: It means the linear equation has no solutions.

355) When using the x-intercept method of graphical solution for a linear equation that has

no solutions, what would be the appearance of the graphical display?

Answer: There would be a horizontal line above or below the x-axis.

356) When using the x-intercept method of graphical solution for a linear equation that has

infinitely many solutions, what would be the appearance of the graphical display?

Answer: There would be a horizontal line that coincides with the x-axis.

355)

356)


357) The functions f(x) and g(x) are linear, and the solution set for is Furthermore,

What can you say about f(x) and g(x) for

357)

A) f(x) > g(x)

B) f(x) ≥ g(x)

C) f(x) ≤ g(x)

D) Nothing about the relationship between f(x) and g(x) can be determined.

Answer: C

358) Consider two linear functions and One student claims that on

the interval Another student claims that on the interval (-∞, 3). What can you

say is true for the two functions at

A) f(x) < g(x)

B) f(x) = g(x)

C) f(x) > g(x)

D) Nothing about the relationship between f(x) and g(x) can be determined.

Answer: B

358)

359) Given two horizontal lines and with what is the solution set for 359)

A) [b, a] B) (-∞, ∞)

C) (-∞, b] D) Cannot be determined

Answer: B


360) Given the linear functions Y1 = x and Y2 = 2x, name the regions where Y1 > Y2, Y1 = Y2,

and Y1 < Y2.

Answer: > on = at < on

361) Given the linear functions and with give the

relationship between the functions at and

Answer: On , at on

360)

361)


Solve the problem.

362) Find the length of a rectangular lot with a perimeter of 138 meters if the length is 5 meters

more than the width.

A) 37 m B) 74 m C) 32 m D) 69 m

Answer: A

363) The length of a rectangle is 5 inches more than the width. The perimeter of the rectangle is 146

inches. Find the width of the rectangle.

A) 36 in. B) 39 in. C) 5 in. D) 34 in.

Answer: D

364) A square plywood platform has a perimeter which is 8 times the length of a side, decreased by

28. Find the length of a side.

A) 1 unit B) 7 units C) 4 units D) 11 units

Answer: B

365) A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 30 in.

more than the width. What are the dimensions of the carpet?

A) Width: 77 in.; length: 107 in. B) Width: 61 in.; length: 91 in.

C) Width: 31 in.; length: 61 in. D) Width: 62 in.; length: 92 in.

Answer: C

366) The length of a rectangular billboard is 9 inches more than the width. The perimeter of the

billboard is 94 inches. Find the width of the billboard.

A) 28 in. B) 19 in. C) 9 in. D) 23 in.

Answer: B

367) The perimeter of a rectangle is 60 cm. One side is 12 cm longer than the other side. Find the

lengths of the sides.

A) Width: 9 cm; length: 12 cm B) Width: 11 cm; length: 23 cm

C) Width: 9 cm; length: 21 cm D) Width: 18 cm; length: 30 cm

Answer: C

368) The perimeter of a rectangle is 52 m. If the width were doubled and the length were increased

by 22 m, the perimeter would be 108 m. What are the length and width of the original

rectangle?

A) Width: 13 m; length: 13 m B) Width: 20 m; length: 6 m

C) Width: 8 m; length: 13 m D) Width: 6 m; length: 20 m

362)

363)

364)

365)

366)

367)

368)

Answer: D

369) The front face of a rectangular aquarium has length to width ratio of 3 to 2. The perimeter of

the rectangle is 25 inches. Find the length of the rectangle.

A) 10 in. B) 53 in. C) 15 in. D) 7.5 in.

Answer: D

370) The width of a rectangular stamp is 1.10 cm greater than the length. If the width and length are

both increased by 1.0 cm, the stamp would have a perimeter equal to 18.20 cm. What are the

actual dimensions of the stamp?

A) 3.00 cm × 4.10 cm B) 7.00 cm × 8.10 cm

C) 3.50 cm × 4.05 cm D) 3.00 cm × 8.20 cm

Answer: A

371) The aspect ratio (length to width) of an LCD computer monitor is 5 : 4. The LCD monitor of a

Toshiba laptop computer has a perimeter of 32.4 inches. What is the diagonal measure of the

screen. Round your answer to the nearest tenth of an inch?

A) 16.2 in. B) 4.0 in. C) 11.5 in. D) 132.8 in.

Answer: C

372) How many liters of a solution that is 20% alcohol must be mixed with 60 liters of a solution

that is 80% alcohol to get a solution that is 40% alcohol?

A) 180 L B) 120 L C) 12 L D) 18 L

Answer: B

373) In a chemistry class, 7 liters of a 4% silver iodide solution must be mixed with a 10% solution to

get a 6% solution. How many liters of the 10% solution are needed?

A) 7.0 L B) 3.5 L C) 2.5 L D) 4.5 L

Answer: B

374) For small jobs, a contractor mixes concrete from bags of pre-mix. How many bags with 9%

cement should he mix with 5 bags of 18% cement to produce a mix containing 12% cement?

A) 20 bags B) 12 bags C) 10 bags D) 15 bags

Answer: C

375) Anne and Nancy use a metal alloy that is 17.7% copper to make jewelry. How many ounces of

an alloy that is 12% copper must be mixed with an alloy that is 25% copper to make 130

ounces of the desired alloy?

A) 57 ounces B) 73 ounces C) 62 ounces D) 75 ounces

Answer: B

376) The annual sales of a company's best-selling appliance can be modeled by the linear function

where S(x) represents the number of appliances sold in year x, with corresponding to 1982.

Find the number of appliances sold in 19 92.

A) 6320 appliances B) 13,000 appliances

C) 12,820 appliances D) 6500 appliances

Answer: D

377) The annual sales of a company's best-selling appliance can be modeled by a linear function.

Suppose that the sales, in dollars, were 9000 in 1997 and 73,000 in 2002. Find a linear function

for annual sales, S(x), letting represent 1997.

369)

370)

371)

372)

373)

374)

375)

376)

377)

A) S(x) = 64,000x + 73,000 B) S(x) = 64,000x + 9000

C) S(x) =

Answer: D

12,800x + 73,000 D) S(x) = 12,800x + 9000

378) In his first year at a publishing company Stephen received a salary of $ 25,000 and was given no

bonus. At the start of his second year with the company, he was given a salary increase of 3%.

At the end of the year he received a bonus of $ 1100. What was Stephen's total compensation in

the second year?

A) $ 23,204 B) $ 26,850 C) $ 33,600 D) $ 26,100

Answer: B

379) The function given by the equation y = 3.785x will convert x gallons into approximately y liters.

If a container can hold 34 gallons, how many liters can it hold? Round your answer to two

decimal places.

A) 127.99 L B) 129.26 L C) 128.69 L D) 128.83 L

Answer: C

380) An average score of 90 for 5 exams is needed for a final grade of A. John's first 4 exam grades are

79, 89, 97, and 95. Determine the minimum grade John needs on the fifth exam to get an A in the

course.

A) 90 B) 85 C) 95 D) 100

Answer: A

381) An average score of 70 for 6 exams is needed for a final grade of C. Jane's first 5 exam scores are

65, 70, 55, 82 and 87. Determine the minimum score Jane needs on the sixth exam to get a C in

the course.

A) 85 B) 72 C) 60 D) 61

Answer: D

382) A student earned scores of 85, 83, 90, 94, 88, and 84 on the first six tests in a biology class. What

score is needed on the seventh test to result in an average score of 86?

A) 81 B) 78 C) 79 D) 80

Answer: B

383) Jim has gotten scores of 69 and 65 on his first two tests. What score must he get on his third

test to keep an average of 75 or greater?

A) At least 69.7 B) At least 91 C) At least 90 D) At least 67

Answer: B

384) Mary, the owner of Vitallo's Pizza Parlor, had start-up costs of $6000. The ingredients for each

pizza cost $5.00, and she sells each pizza for $9. She has no other expenses. Express the cost C

as a function of x, where x represents the number of pizzas sold.

A) C(x) = 5.00x + 6009 B) C(x) = 5.00x + 9

C) C(x) = 6000x + 5.00 D) C(x) = 5.00x + 6000

Answer: D

385) Georgianna, the owner of Petrillo's Pizza, had start-up costs of $5600. The ingredients for each

pizza cost $3.50, and she sells each pizza for $11. Georgianna has no other expenses. Express

the revenue R as a function of x, where x represents the number of pizzas sold.

A) R(x) = 5600x B) R(x) = 11x C) R(x) = 3.50x D) R(x) = 14.5x

Answer: B

378)

379)

380)

381)

382)

383)

384)

385)

386) Regrind, Inc. regrinds used typewriter platens. The cost to buy back each used platen is $ 2.20.

The fixed cost to run the grinding machine is $ 232 per day. If the company sells the reground

platens for $ 6.20, how many must be reground daily to break even? (Assume that there are no

unsold platens at the end of the day.)

A) 105 platens B) 38 platens C) 58 platens D) 27 platens

Answer: C

387) George Higgendorf sells used books. He had start-up costs of $4700 and pays $3.00 for each

book. He sells each book for $5.25. Express the revenue R as a function of x, where x represents

the number of books sold.

A) R(x) = 5.25x B) R(x) = 4700x C) R(x) = 3.00x D) R(x) = 8.25x

Answer: A

388) Northwest Molded molds plastic handles which cost $ 0.80 per handle to mold. The fixed cost to

run the molding machine is $ 2370 per week. If the company sells the handles for $ 2.80 each,

how many handles must be molded weekly to break even? (Assume that there are no unsold

handles at the end of the week.)

A) 658 handles B) 790 handles C) 2962 handles D) 1185 handles

Answer: D

389) Bill Monotone sells CDs for $7.50 each. His initial cost to set up the business was $5700, and

each CD costs him $4.00. Express the cost C as a function of x, where x represents the number

of CDs sold.

A) C(x) = 4.00x + 5700 B) C(x) = 5700x + 4.00

C) C(x) = 7.50x + 5700 D) C(x) = 5700x + 7.50

Answer: A

390) Jane Hightone sells CDs for $8.50 each. Her initial cost to set up the business was $7700, and

each CD costs her $4.25. Express the revenue R as a function of x, where x represents the

number of CDs sold.

A) R(x) = 4.25x + 7700 B) R(x) = 4.25x

C) R(x) = 12.75x D) R(x) = 8.50x

Answer: D

391) Midtown Delivery Service delivers packages which cost $ 1.30 per package to deliver. The fixed

cost to run the delivery truck is $ 56 per day. If the company charges $ 5.30 per package, how

many packages must be delivered daily to break even?

A) 9 packages B) 14 packages C) 8 packages D) 43 packages

Answer: B

392) A lumber yard has fixed costs of $ 5014.80 a day and marginal costs of $ 0.34 per board-foot

produced. The company gets per sold. How many board-feet must be

produced (and sold) daily to break even?

A) 14,749 board-feet B) 2786 board-feet

C) 1857 board-feet D) 2022 board-feet

Answer: B

393) How long is the shadow cast by a person 5 feet tall when a flagpole 20 feet tall casts a shadow

40 feet long?

A) 10 ft B) 8 ft C) 100 ft D) 4 ft

Answer: A

386)

387)

388)

389)

390)

391)

392)

393)

394) A tree casts a shadow 30 m long. At the same time, the shadow cast by a 64-cm tall statue is

97 cm long. Find the height of the tree. Round your answer to the nearest meter, if necessary.

A) 45 m B) 20 m C) 44 m D) 18 m

Answer: B

395) A church steeple casts a shadow 113 ft long, and at the same time a 9-ft post casts a shadow

8 ft long. How high is the steeple? Round your answer to the nearest foot, if necessary.

A) 114 ft B) 8 ft C) 100 ft D) 127 ft

Answer: D

396) Maria and Charlie can deliver 80 papers in 4 hours. How long would it take them to deliver

40 papers?

A) 2.5 hr B) 2 hr C) 8 hr D) 160 hr

Answer: B

397) Last season, a basketball player attempted 123 free-throws and made 105. This season his free-

throw percentage is identical to last year's. If he has attempted 56 free throws this season, how

many has he made? Round your answer to the nearest whole number.

A) 45 free-throws B) 48 free-throws C) 66 free-throws D) 41 free-throws

Answer: B

398) The time T necessary to make an enlargement of a photo negative varies directly as the area A of

the enlargement. If 168 seconds are required to make a 3-by -7 enlargement, find the time

required for a enlargement.

A) 504 sec B) 560 sec C) 392 sec D) 448 sec

Answer: D

399) Hooke's Law for an elastic spring states that the distance a spring stretches varies

directly as the force applied. If a force of 25 pounds stretches a certain spring then

how much will a force of stretch the spring?

A) 3 in. B) 2 in. C) 150 in. D) 24 in.

Answer: D

400) Hooke's Law for an elastic spring states that the distance a spring stretches varies

directly as the force applied. If a spring stretches 0.9 m when a 6-kg weight is attached to it,

how much will it stretch when a 8-kg weight is attached to it?

A) 0.2 m B) 1.2 m C) 4.2 m D) 3.2 m

Answer: B

394)

395)

396)

397)

398)

399)

400)

401) Find the constant of variation k. Assume that y is directly proportional to x. 401)

A) -3.2 B) -0.625 C) 0.625 D) 3.2

Answer: D

Solve the formula for the specified variable.

402)

A = bh for h

402)

A) B)

h = h =

C) D)

h = h =

Answer: C

403) S = 2πrh + 2πr2 for h 403)

A) h = 2π(S - r) B) h = S - r C)

Answer: D

D)

h = - 1 h =

404)

V = Bh for B

A) B)

B = B =

Answer: A

C) D)

B = B =

404)

405)

I = for n

A) B)

n = n =

Answer: B

C) n = IR(Ir - E) D)

n =

405)

406) P = s1 + s2 + s3 for s3 406)

A) s3 = P - s1 - s2 B) s3 = s1 + P - s2 C) s3 = P + s1 + s2 D) s3 = s1 + s2 - P

Answer: A

407)

408)

F = C + 32 for C

A)

C =

Answer: D

A = h(b1 + b2) for b1

A)

B) C)

C = (F - 32) C =

B) C)

D)

C = (F - 32)

D)

407)

408)

b1 = - 1 b1 = b2 -

Answer: C

b1 = - b2 b1 =

409) a + b = s + r for s

A) B) s = a + b

- r

C) D) s = r(a + b)

409)

s = + b s =

Answer: B

410) A = P(1 + nr) for r

410)

A) B) C) D)

r = r = r = r =

Answer: B

Solve the problem.

411) Mardi received an inheritance of $ 70,000. She invested part at 9% and deposited the remainder

in tax-free bonds at 11%. Her total annual income from the investments was $7100. Find the

amount invested at 9%.

411)

A) $ 29,000 B) $ 15,000 C) $ 62,900 D) $ 30,000

Answer: D

412) Walt made an extra $ 5000 last year from a part-time job. He invested part of the money at 10%

and the rest at 8%. He made a total of $420 in interest. How much was invested at 8%?

A) $ 4000 B) $ 1000 C) $ 3000 D) $ 2500

Answer: A

413) Roberto invested some money at 8%, and then invested $5000 more than twice this amount at

11%. His total annual income from the two investments was $4450. How much was invested at

11%?

A) $ 15,000 B) $ 26,000 C) $ 3100 D) $ 31,000

Answer: D

412)

413)

1) B

2) D

3) C

4) B

5) D

6) C

7) B

8) B

9) A

10) C

11) C

12) C

13) C

14) B

15) B

16) A

17) C

18) D

19) D

20) A

21) B

22) C

23) C

24) D

25) A

26) B

27) D

28) C

29) D

30) C

31) C

32) B

33) C

34) D

35) C

36) D

37) A

38) C

39) D

40) D

41) A

42) A

43) D

44) C

45) C

46) B

47) C

48) A

49) A

50) C

51) D

52) C

53) B

54) A

55) D

56) B

57) B

58) C

59) C

60) A

61) C

62) D

63) A

64) B

65) A

66) D

67) B

68) A

69) D

70) C

71) A

72) B

73) A

74) B

75) D

76) C

77) D

78) C

79) C

80) A

81) B

82) B

83) D

84) A

85) C

86) A

87) A

88) B

89) B

90) D

91) C

92) D

93) B

94) D

95) A

96) D

97) B

98) B

99) C

100) A

101) D

102) C

103) D

104) B

105) A

106) D

107) C

108) C

109) A

110) A

111) B

112) B

113) B

114) A

115) B

116) A

117) B

118) A

119) A

120) A

121) B

122) A

123) B

124) A

125) B

126) A

127) B

128) A

129) A

130) B

131) B

132) A

133) A

134) A

135) B

136) A

137) A

138) C

139) C

140) D

141) A

142) B

143) D

144) B

145) C

146) D

147) A

148) A

149) B

150) A

151) B

152) A

153) B

154) C

155) D

156) D

157) B

158) A

159) A

160) C

161) D

162) D

163) D

164) A

165) C

166) B

167) B

168) B

169) D

170) B

171) A

172) C

173) A

174) D

175) B

176) C

177) C

178) A

179) A

180) A

181) B

182) B

183) B

184) A

185) D

186) A

187) C

188) B

189) B

190) A

191) B

192) C

193) D

194) A

195) B

196) A

197) A

198) B

199) A

200) D

201) B

202) D

203) C

204) C

205) C

206) B

207) C

208) C

209) A

210) C

211) D

212) B

213) B

214) D

215) A

216) D

217) A

218) C

219) C

220) B

221) A

222) D

223) C

224) D

225) A

226) D

227) D

228) B

229) B

230) C

231) A

232) C

233) A

234) A

235) A

236) A

237) D

238) A

239) A

240) B

241) C

242) D

243) D

244) A

245) B

246) C

247) A

248) C

249) A

250) D

251) D

252) A

253) D

254) C

255) C

256) A

257) A horizontal line has slope 0. The line perpendicular to this is vertical with undefined slope.

258) A

259) Answers will vary. One possibility: The slope of the line through P1 and P2 is -2/3. The slope of the line through P2

and

P3 is

3/2.

Therefore, since the product of these slopes is the lines are perpendicular and constitute a right angle in the

triangle, making the triangle formed by these points a right triangle.

260) A

261) B

262) A

263) A

264) B

265) C

266) B

267) A

268) A

269) A

270) C

271) B

272) D

273) B

274) A

275) C

276) A

277) D

278) A

279) A

280) A

281) C

282) D

283) C

284) D

285) D

286) B

287) A

288) D

289) D

290) D

291) C

292) C

293) D

294) B

295) A

296) A

297) D

298) D

299) C

300) C

301) C

302) B

303) B

304) B

305) B

306) C

307) A

308) D

309) A

310) C

311) B

312) B

313) C

314) C

315) B

316) C

317) C

318) A

319) C

320) B

321) B

322) B

323) A

324) C

325) C

326) D

327) B

328) C

329) A

330) D

331) C

332) B

333) A

334) D

335) D

336) D

337) C

338) C

339) B

340) B

341) A

342) D

343) D

344) D

345) C

346) C

347) A

348) A

349) B

350) B

351) The graphs would appear to coincide.

352) It is the x value at the point of intersection of the two lines, which is the solution to the linear equation.

353) It is the value of each side of a linear equation at the solution value.

354) It means the linear equation has no solutions.

355) There would be a horizontal line above or below the x-axis.

356) There would be a horizontal line that coincides with the x-axis.

357) C

358) B

359) B

360) > on = at < on

361) On , at on

362) A

363) D

364) B

365) C

366) B

367) C

368) D

369) D

370) A

371) C

372) B

373) B

374) C

375) B

376) D

377) D

378) B

379) C

380) A

381) D

382) B

383) B

384) D

385) B

386) C

387) A

388) D

389) A

390) D

391) B

392) B

393) A

394) B

395) D

396) B

397) B

398) D

399) D

400) B

401) D

402) C

403) D

404) A

405) B

406) A

407) D

408) C

409) B

410) B

411) D

412) A

413) D

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