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Full file at https://fratstock.eu

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

Find the distance between the pair of points.

1) ( 3, 7) ( -6, -3) 1) _______

A) -1 B) C) 90 D) Answer: D

2) ( 4, -7) ( 6, -1) 2) _______

A) 32 B) 4 C) 2 D) 32

Answer: C

3) ( -4, -3) ( 3, -2) 3) _______

A) 48 B) 5 C) 48 D) 6

Answer: B

4) ( 4, -3) ( 2, 3) 4) _______

A) 2 B) 32 C) 8 D) 32

Answer: A

5) ( -3 , -9 ) and ( -6 , 4 ) 5) _______

A) B) 1789 C) 163 D) Answer: D

Find the midpoint of the line segment joining the two points.

6) ( 9, 8) and ( 5, 1) 6) _______

A) B) C)

D)

Answer: D

7) ( 7, -1) and ( -2, 2) 7) _______

A)

B) C)

D)

Answer: A

8) ( -3, -8) and ( 0, 4) 8) _______

A)

B)

C) D)

Answer: B

9) ( 1, 6) and ( 6, 1) 9) _______

A) B)

C)

D)

Answer: C

10)

and

10) ______

A) B) C)

D)

Answer: C

Full file at https://fratstock.eu11) ( 9 , - ) and (- , 0) 11) ______

A)

B) ( -5, 13) C)

D)

Answer: D

12) (- , 1) and (0, ) 12) ______

A)

B) ( - , 1 + ) C)

D)

Answer: A

Decide whether or not the points are the vertices of a right triangle.

13) ( 7, -4), ( 9, -4), ( 9, -1) 13) ______

A) Yes B) No

Answer: A

14) ( -4, 12), ( -2, 16), ( 0, 15) 14) ______

A) No B) Yes

Answer: B

15) ( -10, -6), ( -4, -4), ( 0, -16) 15) ______

A) Yes B) No

Answer: A

16) ( -9, 8), ( -3, 10), ( -4, 5) 16) ______

A) Yes B) No

Answer: B

17) ( 6, 0), ( 12, 2), ( 18, -5) 17) ______

A) No B) Yes

Answer: A

18) ( -12, 10), ( -1, -1), ( 1, 1) 18) ______

A) Yes B) No

Answer: A

Determine if the points are collinear.

19) ( 8, 7), ( 4, 1), ( 12, 13) 19) ______

A) No B) Yes

Answer: B

20) ( -10, 13), ( -1, 6), ( -3, 4) 20) ______

A) Yes B) No

Answer: B

21) ( -2, -5), ( 1, 1), ( 7, 13) 21) ______

A) Yes B) No

Answer: A

22) ( 5, -1), ( -4, 7), ( 4, -2) 22) ______

A) Yes B) No

Answer: B


Solve.

23) The graph shows an idealized linear relationship for the average monthly payments to retirees

from 1995 through 1999. Use the midpoint formula to estimate the payment for 1997.

Average Monthly Payments to Retiree

1995 1997 1999

a = $452; b = $488

23) ______

A) 18 dollars B) 470 dollars C) 500 dollars D) 488 dollars

Answer: B

24) 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.

24) ______

A) $51,750 B) $20,250 C) $33,375 D) $17,625

Answer: C

25) The table lists enrollment in 2-year technical schools for 1980, 1990 and 2000. Assuming a linear

relationship, estimate the enrollment for 1995.

25) ______

A) 5.15 B) 1.75 C) 3.45 D) 2.4

Answer: C

Graph the equation by determining the missing values needed to plot the ordered pairs.

26) y + x = 4; ( 1, ), ( 4, ), ( 3, )


26) ___

___

A)

B)

C)

D)

Answer: C

27) y - x = 1; ( 3, ), ( , 8), ( 4, )


27) ___

___

A)

B)

C)

D)

Answer: C

28) x - 3y = -6; (0, ), ( , 0), ( 1, ), ( , 1)


28) ___

___

A)

B)

C)

D)

Answer: B

29) 3x - 6y = -18; (0, ), ( , 0), ( -1, ), ( , 2)


29) ___

___

A)

B)

C)

D)

Answer: C

Graph the equation.

30) y =


30) ___

___

A)

B)

C)

D)

Answer: D

31) y = - 6

31) ______

A)


B)

C)

D)

Answer: C

32) y = x2 + 1

32) ______

A)

B)

C)


D)

Answer: D

33) y =

33) ______

A)

B)

C)

D)

Answer: A


34) y = x3 + 1

34) ______

A)

B)

C)

D)

Answer: C

Find the center-radius form of the equation of a circle.

35) center (0, 0), radius 10 35) ______

A) + = 20 B) + = C) + = 10 D) + =

100

Answer: D

36) center ( 1, -6), radius 4 36) ______

A) (x + 1)2 + (y - 6)2 = 16 B) (x + 6)2 + (y - 1)2 = 4

C) (x - 6)2 + (y + 1)2 = 4 D) (x - 1)2 + (y + 6)2 = 16

Answer: D

37) center ( 7, 0), radius 6 37) ______

Full file at https://fratstock.euA) (x - 7)2 + y2 = 36 B) x2 + (y + 7)2 = 6

C) x2 + (y - 7)2 = 6 D) (x + 7)2 + y2 = 36

Answer: A

38) center (0, 7), radius 3 38) ______

A) x2 + (y - 7)2 =

9

B) x2 + (y + 7)2 =

3

C) (x + 7)2 + y2 =

9

D) (x - 7)2 + y2 =

9

Answer: A

39) center ( -10, -4), radius 39) ______

A) (x - 4)2 + (y - 10)2 = 49 B) (x - 10)2 + (y - 4)2 = 7

C) (x + 4)2 + (y + 10)2 = 49 D) (x + 10)2 + (y + 4)2 = 7

Answer: D

40) center (0, -6), radius 40) ______

A) (x + 6)2 + y2 = 361 B) x2 + (y - 6)2 = 19

C) x2 + (y + 6)2 = 19 D) (x - 6)2 + y2 = 361

Answer: C

41) center ( -6, 0), radius 41) ______

A) x2 + (y - 6)2 =

9

B) x2 + (y + 6)2 =

9

C) (x + 6)2 + y2 =

3

D) (x - 6)2 + y2 =

3

Answer: C

Graph the circle.

42) x2 + y2 = 100

42) ______

A)

B)

C)


D)

Answer: B

43) (x - 5)2 + (y - 1)2 = 25

43) ______

A)

B)

C)

D)

Full file at https://fratstock.euAnswer: C

44) x2 + (y - 2)2 = 9

44) ______

A)

B)

C)

D)

Answer: A

45) + = 25

45)

Full file at https://fratstock.eu______

A)

B)

C)

D)

Answer: A

Solve.

46) Find the center-radius form of the equation of a circle with center ( 2, 8) and tangent to the

x-axis.

46) ______

A) + = 64 B) + = 4

C) + = 64 D) + = 4

Answer: C

47) Find the center-radius form of the equation of a circle with center ( 2, -6) and tangent to the

y-axis.

47) ______

A) + = 36 B) + = 36

C) + = 4 D) + = 4

Answer: D

48) Find the equation of a circle with center at ( -6, 2), passing through the point Write it in

center-radius form.

48) ______

A) + = 5 B) + = 25

C) + = 25 D) + = 5

Answer: C

Determine whether or not the equation has a circle as its graph.

49) - 8x + - 6y + 15 = 0 49) ______

A) Yes B) No

Answer: A


50) + 6x + - 8y - 4 = 0 50) ______

A) Yes B) No

Answer: A

51) + 6x + + 8y + 30 = 0 51) ______

A) Yes B) No

Answer: B

52) - 8x + + 6y - 27 = 0 52) ______

A) Yes B) No

Answer: A

53) - 6x + + 2y + 15 = 0 53) ______

A) Yes B) No

Answer: B

54) + 6x + + 2y = -12 54) ______

A) Yes B) No

Answer: B

55) + 6x + + 2y = -8 55) ______

A) Yes B) No

Answer: A

Find the center and radius of the circle.

56) x2 + y2 + 18x - 10y + 102 = 0 56) ______

A) ( -5, 9); r = 4 B) ( -9, 5); r = 2 C) ( 9, -5); r = 4 D) ( 5, -9); r = 2

Answer: B

57) x2 + y2 - 12x + 10y + 12 = 0 57) ______

A) ( 6, -5); r = 7 B) ( -5, 6); r = 7 C) ( 5, -6); r =

49

D) ( -6, 5); r =

49

Answer: A

58) x2 + y2 - 8x + 12y + 27 = 0 58) ______

A) ( -4, 6); r =

25

B) ( -6, 4); r = 5 C) ( 6, -4); r =

25

D) ( 4, -6); r = 5

Answer: D

Solve.

59) A circle has a diameter with endpoints (-2, 1) and ( 18, 13). Find the coordinates of the center. 59) ______

A) ( 38, 25) B) ( 8, 7) C) ( -12, -5) D) ( 16, 14)

Answer: B

60) A circle has a diameter with endpoints (-2, 1) and ( 22, 11). Find the radius. 60) ______

A) 26 B) 13 C) D) Answer: B

61) Find the center-radius form of the equation of the circle having a diameter with endpoints (-5, 1) and (3, 7).

Full file at https://fratstock.eu61) ______

A) + = 10 B) + = 5

C) + = 25 D) + = 100

Answer: C

62) Find the center-radius form of the equation of the circle having a diameter with endpoints (-5, 1)

and (11, 13).

62) ______

A) + = 10 B) + = 10

C) + = 100 D) + = 100

Answer: C

Given an endpoint of a line segment and its midpoint, find the other endpoint.

63) If ( 4, -3) is the endpoint of a line segment, and is its midpoint, find the other endpoint. 63) ______

A) ( 14, 3) B) ( -6, -9) C) ( 14, -6) D) ( 10, 7)

Answer: A

64) If ( -5, 5) is the endpoint of a line segment, and is its midpoint, find the other endpoint. 64) ______

A) ( -15, -1) B) ( -11, 10) C) ( -11, -5) D) ( 1, 15)

Answer: C

65) If ( -2, -5) is the endpoint of a line segment, and is its midpoint, find the other endpoint. 65) ______

A) ( 4, -3) B) ( -6, 1) C) ( -8, -1) D) ( 4, -9)

Answer: D

66) If ( 7, -1) is the endpoint of a line segment, and is its midpoint, find the other endpoint. 66) ______

A) ( 1, 9) B) ( 17, -7) C) ( 13, -11) D) ( 1, -6)

Answer: A

Solve.

67) If a vertical line is drawn through the point ( 5, -2), where will it intersect the x-axis? 67) ______

A) (0, -2) B) ( 5, 0) C) (0, 5) D) ( -2, 0)

Answer: B

68) If a horizontal line is drawn through the point ( 9, 2), where will it intersect the y-axis? 68) ______

A) (0, 2) B) ( 9, 0) C) (0, 9) D) ( 2, 0)

Answer: A

69) Find all points (x, y) with x = y that are 5 units from ( 9, 2). 69) ______

A) ( -5, -5) and ( 6, 6) B) ( 5, 5) and ( -6, -6)

C) ( -5, -5) and ( -6, -6) D) ( 5, 5) and ( 6, 6)

Answer: D

70) If the point (a, b) is in the fourth quadrant, in what quadrant is (a, -b)? 70) ______

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

Answer: A

71) If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, -b)? 71) ______


Answer: B

Full file at https://fratstock.eu72) If the point (a, b) is in the fourth quadrant, in what quadrant is (-a, b)? 72) ______


Answer: C

73) If the point (a, b) is in the fourth quadrant, in what quadrant is (b, a)? 73) ______


Answer: B

74) Find all values of y such that the distance between (2, y) and (-10, 3) is 13. 74) ______

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

Answer: B

Decide whether the relation defines a function.

75) {( -3, -6), ( 2, 1), ( 6, 6), ( 8, -8), ( 10, -3)} 75) ______

A) Function B) Not a function

Answer: A

76) {(-6, 1), (-3, -6), (3, -4), (3, 3)} 76) ______


Answer: B

77) {(-8, 2), (-8, 8), ( 1, -1), ( 5, 4), ( 10, 8)} 77) ______


Answer: B

78) {(2, -9), (2, -2), ( 6, -7), ( 7, -4), ( 10, 8)} 78) ______


Answer: B

79) {( -4, -3), ( -1, 8), ( 4, -3), ( 5, -7)} 79) ______


Answer: A

80) {(-9, 3), (-9, 5), ( 1, 9), ( 6, 6), ( 7, -7)} 80) ______


Answer: B

81) {( -8, 9), ( -5, 6), ( -2, 4), ( 3, 2)} 81) ______


Answer: A

82) {( -5, -8), ( -3, -7), (-1, -1), (-1, 7)} 82) ______


Answer: B

83) {( -3, -3), ( -2, 6), ( 4, 7), ( 6, 8)} 83) ______


Answer: A

84) {( 1, 7), ( 2, -4), ( 5, 4), ( 9, 8), ( 12, 7)} 84) ______


Answer: A


85)

85) ______


Answer: A

86)

86) ______


Answer: A

87)

87) ______


Answer: B

88)

88) ______


Answer: A

89)

89) ______


Answer: B

90)

90) ______


Answer: A

91) Student Test Score


91) ___

___


Answer: A

92) Student Test Score

92) ______


Answer: A

93) Annual New Telemarketing Companies

93) ______


Answer: A

94)

94) ______


Answer: A

95)


95) ___

___


Answer: A

96)

96) ______


Answer: B

97)

97) ______


Answer: A

98)


98) ___

___


Answer: B

99)

99) ______


Answer: B

100)

100) _____


Answer: A

101)


101) ____

_


Answer: A

102)

102) _____


Answer: A

103)

103) _____


Answer: B

104) 2x = 10 - 2y 104) _____


Answer: A

105) y = x3 105) _____

Full file at https://fratstock.euA) Function B) Not a function

Answer: A

106) y2 = 7x 106) _____


Answer: B

107) y = 107) _____


Answer: A

108) 7x + 10y > -1 108) _____


Answer: B

109) x = y6 109) _____


Answer: B

110) xy = 4 110) _____


Answer: A

111)

y =

111) _____


Answer: A

Give the domain and range of the relation.

112) {( 1, 7), ( -1, -8), ( -6, -4), ( 4, 0)} 112) _____

A) D = { -6, -1, 1, 4}; R = { -8, -4, 0,

7}

B) D = { 1, 4, 7}; R = { -8, -6, -4, -1}

C) D = { -8, -4, 0, 7}; R = { -6, -1, 1,

4}

D) D = { -8, -6, -4, -1}; R = { 1, 4, 7}

Answer: A

113) {( 3, 7), ( -3, -8), ( -7, -5), ( 5, -8)} 113) _____

A) D = { -8, -5, 7}; R = { -7, -3, 3, 5} B) D = { -8, -7, -5, -3}; R = { 3, 5, 7}

C) D = { 3, 5, 7}; R = { -8, -7, -5, -3} D) D = { -7, -3, 3, 5}; R = { -8, -5, 7}

Answer: D

114) {( 3, 3), ( -1, -1), ( -7, -7), ( 6, 6)} 114) _____

A) D = { 3, 6}; R = { -7, -1} B) D = { -7, -1, 3, 6}; R = { -7, -1, 3,

6}

C) D = { -7, -1}; R = { 3, 6} D) None of the above

Answer: B

115)

115) _____

Full file at https://fratstock.euA) D = {5, 8, 13}; Range = {4, 7, 12} B) D = {4, 7, 12}; Range = {5, 8, 13}

C) D = {4, 5, 7}; Range = {8, 12, 13} D) None of the above

Answer: B

116)

116) _____

A) D = {5, 13}; Range = {4, 7, 12} B) D = {4, 7, 12}; Range = {5, 13}

C) D = {4, 5, 7}; Range = {12, 13} D) None of the above

Answer: B

117)

117) _____

A) D = {5, 8, 13}; Range = {4, 7, 12} B) D = {4, 12}; Range = {5, 13}

C) D = {4, 7, 12}; Range = {5, 8, 13} D) None of the above

Answer: C

118)

118) _____

A) D = {4, 8, 12}, R = {5, 7, 13} B) D = {5, 8, 13}, R = {4, 7, 12}

C) D = {4, 7, 12}, R = {5, 8, 13} D) None of the above

Answer: C

119)

119) _____

A) D = {4, 8, 12}, R = {5, 7, 13} B) D = {4, 7, 12}, R = {5, 8, 13}

C) D = {5, 8, 13}, R = {4, 7, 12} D) None of the above

Answer: C

120)

120) _____

A) D = {4, 12}, R = {7, 13} B) D = {4, 7, 12}, R = {13}

C) D = {13}, R = {4, 7, 12} D) None of the above

Answer: B



121) ____

_

A) D = {1995, 1996, 1997, 1998, 1999}; R = {56, 112, 178, 187, 318}

B) D = {Year}; R = {Number}

C) D = {56, 112, 178, 187, 318}; R = {1995, 1996, 1997, 1998, 1999}

D) None of the above

Answer: A


122) _____

A) D = {Year}; R = {Number}

B) D = {52, 102, 170, 187, 218}; R = {1993, 1994, 1995, 1996, 1997}

C) D = {1993, 1994, 1995, 1996, 1997}; R = {52, 102, 170, 187, 218}


Answer: C

123)

123) _____

A) D = (-∞, 0] ∪ [0, ∞); R = (-∞, 8] ∪ [ 8, ∞) B) D = (-∞, ∞); R = (-∞, ∞)

C) D = (-∞, 8) ∪ ( 8, ∞); R = (-∞, 0) ∪ (0, ∞) D) D = (-∞, 0) ∪ (0, ∞); R = (-∞, 8) ∪ ( 8, ∞)

Answer: B

124)

Full file at https://fratstock.eu124) _____

A) D = (-∞, ∞); R = (-∞, ∞) B) D = (-∞, ∞); R = { -8}

C) D = (-∞, ∞); R = (-∞, -8) ∪ ( -8, ∞) D) D = { -8}; R = (-∞, ∞)

Answer: B

125)

125) _____

A) D = (-∞, ∞); R = { -3} B) D = (-∞, ∞); R = (-∞, ∞)

C) D = (-∞, -3) ∪ ( -3, ∞); R = (-∞, ∞) D) D = { -3}; R = (-∞, ∞)

Answer: D

126)

126) _____

A) D = [ -5, ∞); R = (-∞, ∞) B) D = (-∞, ∞); R = [ -5, ∞)

C) D = (-∞, ∞); R = (-∞, ∞) D) D = ( -5, ∞); R = ( 4, ∞)

Answer: A

127)

127) _____

A) R = (-3, 3); D = (-10, 10)

B) R = (-∞, -3) ∪ (-3, 0) ∪ (0, 3) ∪ (3, ∞); D = (-∞, -10) ∪ (-10, 0) ∪ (0, 10) ∪ (10, ∞)

C) R = (-∞, ∞); D = (-∞, ∞)

Full file at https://fratstock.euD) R = (-3, 0) ∪ (0, 3); D = (-10, 0) ∪ (0, 10)

Answer: C

128)

128) _____

A) R = (-∞, ∞); D = (-∞, ∞)

B) R = (-∞, 0) ∪ (0, 4) ∪ (4, ∞); D = (-∞, -5) ∪ (-5, 0) ∪ (0, ∞)

C) R = (-∞, 4) ∪ (4, ∞); D = (-∞, -5) ∪ (-5, ∞)


Answer: A

129)

129) _____

A) D = (-∞, ∞); R = (-∞, ∞) B) D = (0, ∞); R = (0, ∞)

C) D = (-∞, 0]; R = (-∞, 0] D) D = [0, ∞); R = [0, ∞)

Answer: A

130)

130) _____

A) D = (-∞, 0); R = (-∞, 0) B) D = (-∞, ∞); R = [ -10, ∞)

Full file at https://fratstock.euC) D = (0, ∞); R = [ 35, ∞) D) D = (-∞, 0) ∪ (0, ∞); R = (-∞, 0) ∪ (0, ∞)

Answer: B

131) y = (x + 1)2 - 1 131) _____

A) D = ( 1,∞); R = (-∞,∞) B) D = (-∞,∞); R = [ -1,∞)

C) D = (-∞,∞); R = (-∞, -1) D) D = (-∞, -1); R = (-∞,∞)

Answer: B

132) y = x2 + 6 132) _____

A) D = ( -6,∞); R = (-∞,∞) B) D = ( 6,∞); R = (-∞,∞)

C) D = (-∞,∞); R = ( -6,∞) D) D = (-∞,∞); R = [ 6,∞)

Answer: D

133) y = (x + 1)2 + 4 133) _____

A) D = ( -4,∞); R = (-∞,∞) B) D = ( 4,∞); R = (-∞,∞)

C) D = (-∞,∞); R = [ 4,∞) D) D = (-∞,∞); R = ( -4,∞)

Answer: C

134) y = (x + 9)2 - 5 134) _____

A) D = ( -9,∞); R = (-∞,∞) B) D = ( -5,∞); R = (-∞,∞)

C) D = (-∞,∞); R = ( -9,∞) D) D = (-∞,∞); R = [ -5,∞)

Answer: D

135) y = x2 + 6 135) _____

A) D = (0,∞); R = (-∞,∞) B) D = (-∞,∞); R = [ 6,∞)

C) D = ( 6,∞); R = (-∞,∞) D) D = (-∞,∞); R = (0,∞)

Answer: B

136) y = 6x - 9 136) _____

A) D = (-∞, ∞); R = [ -9, ∞) B) D = (-∞, ∞); R = [0, ∞)

C) D = [0, ∞); R = (-∞, ∞) D) D = (-∞, ∞); R = (-∞, ∞)

Answer: D

137) y = 3x8 137) _____

A) D = (-∞, ∞); R = [0, ∞) B) D = (-∞, ∞); R = [ 3, ∞)

C) D = [0, ∞); R = [ -3, ∞) D) D = (-∞, ∞); R = (-∞, ∞)

Answer: A

138) y = 138) _____

A) D = (-∞, ∞); R = [ -6, ∞) B) D = [0, ∞); R = (-∞, ∞)

C) D = (-∞, ∞); R = (-∞, ∞) D) D = [ -6, ∞); R = [0, ∞)

Answer: D

139)

y =

139) _____

A) D = (-∞, 9) ∪ ( 9, ∞); R = (-∞, ∞) B) D = (-∞, 9) ∪ ( 9, ∞); R = (-∞, 0) ∪ (0,

∞)

C) D = (-∞, ∞); R = (-∞, 0) ∪ (0, ∞) D) D = (-∞, ∞); R = (-∞, ∞)

Answer: B

140) y =


140) ____

_

A) D = (-∞, ∞); R = (-∞, 0) ∪ (0, ∞)

B) D = (-∞, -6) ∪ ( -6, 6) ∪ ( 6, ∞); R = (-∞, 0) ∪ (0, ∞)

C) D = (-∞, -6) ∪ ( 6, ∞); R = (-∞, 0) ∪ (0, ∞)

D) D = (-∞, -6) ∪ ( -6, 6) ∪ ( 6, ∞); R = (-∞, ∞)

Answer: B

Solve the problem.

141) Find f( -3) when f(x) = x2 - 4x - 2 141) _____

A) -1 B) -5 C) 19 D) 23

Answer: C

142) Find f( 0) when f(x) = x2 + 2x + 3 142) _____

A) 3 B) 0 C) 9 D) -3

Answer: A

143) Find f( -3) when f(x) = 5x2 + 4x + 7 143) _____

A) 4 B) 26 C) 64 D) 40

Answer: D

144) Find f(k - 1) when f(x) = 2x2 - 5x - 6 144) _____

A) -9k2 + 2k + 1 B) 2k2 - 9k - 9 C) 2k2 - 9k + 1 D) 2k2 - 17k - 9

Answer: C

145) Find f(k) when f(x) = 3x2 + 4x + 5 145) _____

A) 3k2 + 4k + 25 B) 3k2 + 16k + 5 C) 9k2 + 16k + 25 D) 3k2 + 4k + 5

Answer: D

146)

Find g(a + 1) when g(x) = x + 4.

146) _____

A)

a + 4

B)

C)

a - 2

D)

Answer: B

147) Find g(a + 1) when g(x) = 3x - 2. 147) _____

A) 3a + 1 B)

a - 2

C) 3a - 1 D) 3a - 2

Answer: A

Evaluate the function.

148) f = {(-2, 3), (3, 0), (0, 5), (5, -2)}, find f( 3). 148) _____

A) ( 0, -2) B) -2

C) 0 D) None of the above

Answer: C

149) Find f( 12)

f

149)

Full file at https://fratstock.eu_____

A) 4 B) 7

C) ( 7, 4) D) None of the above

Answer: B

150)

f(-4) = ?

150) _____

A) -4 B) 1

C) 1.8 D) None of the above

Answer: C

151)

f(4) = ?

151) _____

A) -1 B) 15

C) 4 D) None of the above

Answer: B

152)

f(-3) = ?

152) _____

A) -3 B) 2

C) -5 D) None of the above

Answer: C

An equation that defines y as a function of x is given. Solve for y in terms of x, and replace y with the function

notation f(x).

153) 5x - 6y = 5 153) _____

A) f(x ) =


B) f(x

) =

-5

x -

C) f(x

) =

5 -

D) f(x

) =

5 -

5x

Answer: A

154) 9x2 + 7y = 6 154) _____

A) f(x) = 6 - 9x2 B)

f(x) =

C)

f(x) =

D)

f(x) = -9x2 +

Answer: B

Determine the intervals over which the function is decreasing, increasing, and constant.

155)

155) _____

A) Increasing (-∞, 1]; Decreasing [1, ∞) B) Increasing [1, ∞); Decreasing (-∞, 1]

C) Increasing (-∞, -1]; Decreasing [-1, ∞) D) Increasing [-1, ∞); Decreasing (-∞, -1]

Answer: D

156)

156) _____

A) Increasing [0, ∞); Decreasing (-∞, 0] B) Increasing (-∞, 0]; Decreasing [0, -∞)

C) Increasing (-∞, 0]; Decreasing (-∞, 0] D) Increasing (-∞, 0]; Decreasing [0, ∞)

Answer: A

157)


157) ____

_

A) Increasing [0, ∞); Decreasing (-∞, 0] B) Increasing (-∞, 0]; Decreasing [0, ∞)

C) Increasing (-∞, 0]; Decreasing (-∞, 0] D) Increasing (-∞, 0]; Decreasing [0, -∞)

Answer: B

158)

158) _____

A) Increasing [0, ∞); Decreasing (-∞, 0] B) Increasing (-∞, 0]; Decreasing [0, ∞)

C) Increasing ∅; Decreasing for all reals D) Increasing for all reals; Decreasing ∅

Answer: D

159)

159) _____

A) Increasing (-∞, 3]; Decreasing [-3, ∞); Constant [-3, 3]

B) Increasing [3, ∞); Decreasing (-∞, -3]; Constant [-3, 3]

C) Increasing [3, ∞); Decreasing [-3, ∞); Constant (-3, 3)

D) Increasing (-∞, 3]; Decreasing(-∞, -3]; Constant (-3, 3)

Answer: B

160)


160) ____

_

A) Increasing [ -4, ∞); Decreasing [ -4 ∞) B) Increasing [ -4, ∞); Decreasing (-∞, -4]

C) Increasing (-∞, -4]; Decreasing [ -4, ∞) D) Increasing (-∞, -4]; Decreasing (-∞, -4]

Answer: C

161)

161) _____

A) Increasing ∅; Decreasing (-∞, -2) ∪ (2, ∞)

B) Increasing (-2, 2); Decreasing (-∞, -2) ∪ (2, ∞)

C) Increasing (2, ∞); Decreasing (-∞, -2)

D) Increasing (-∞, -2) ∪ (2, ∞); Decreasing ∅

Answer: D

Solve the problem.

162) A ball is shot up in the air and its height, h, above the ground in feet is given by the function

where x is the number of seconds the ball has been in flight. Graph this

function and find the x-value for which the maximum height of the ball is attained. Round your

answer to the hundredths place.

162) _____

A) 1.41 B) 1.68 C) 1.30 D) 1.53

Answer: A

163) A ball is shot up in the air and its height, h, above the ground in feet is given by the function

, where x is the number of seconds the ball has been in flight. Graph this

function and find the maximum height that the ball attains. Round your answer to the

hundredths place.

163) _____

A) 26.27 B) 27.61 C) 27.21 D) 23.70

Answer: A

164) The height h in feet of a projectile thrown upward from the roof of a building after time t

seconds is shown in the graph below. How high will the projectile be after 1.2 s?


164) ____

_

A) 400 ft B) 350 ft C) 325 ft D) 375 ft

Answer: B

165) The surface area a of a cylinder is shown in the graph below. What is the radius r if the surface

area is 15 m2?

165) _____

A) 0.8 m B) 1.0 m C) 0.4 m D) 0.6 m

Answer: A

166) The graph shows the relationship between current I and resistance R if the voltage is fixed. Find

the current if the resistance is 2.4Ω.

166) _____

A) 0.6 A B) 0.8 A C) 1.0 A D) 0.4 A

Answer: B

167) Regrind, Inc. regrinds used typewriter platens. The cost to buy back each used platen is $ 2.50.

The fixed cost to run the grinding machine is $ 225 per day. If the company sells the reground

platens for $ 7.50, how many must be reground daily to break even?

167) _____

A) 45 platens B) 90 platens C) 30 platens D) 22 platens

Answer: A

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

run the molding machine is $ 9952 per week. If the company sells the handles for $ 4.80 each,

how many handles must be molded weekly to break even?

168) _____

A) 12,440 handles B) 2488 handles C) 1777 handles D) 1658 handles

Full file at https://fratstock.euAnswer: B

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

cost to run the delivery truck is $ 114 per day. If the company charges $ 7.30 per package, how

many packages must be delivered daily to break even?

169) _____

A) 13 packages B) 87 packages C) 19 packages D) 12 packages

Answer: C

Match the description with correct symbolic expression.

170) A linear function whose graph has a slope 2 170) _____

A) f(x) = -11x +

2

B) x = 2 C) 2x - 4y = 8 D) y = 2x + 8

Answer: D

171) A linear function whose graph has a y-intercept -2 171) _____

A) y = -2x + 18 B) x = -2 C) -2x + 14y =

18

D) f(x) = -8x -

2

Answer: D

172) A vertical line 172) _____

A) y = 9x + 7 B) x = 9 C) f(x) = -8x +

9

D) 9x - 5y = 7

Answer: B

173) A constant function 173) _____

A) f(x) = -8 B) x = -4 C) -4x + 9y = 6 D) y = -4x + 6

Answer: A

174) A linear equation whose graph has x-intercept -8 and y-intercept 9 174) _____

A) -9x + 8y = 72 B) y = 9x + 72 C) f(x) = -8 D) x = 9

Answer: A

175) A linear function whose graph passes through the origin 175) _____

A) x = 3 B) f(x) = 3 C) 7x - 8y = 7 D) y = -3x

Answer: D

176) A line with a negative slope 176) _____

A) f(x) = 5x -3 B) y = -9 C) 5x + 8y = -9 D) x = -3

Answer: C

177) A function that is not linear 177) _____

A) f(x) = 3x + 2 B) f(x) = -6x + 3 C) f(x) = -1 D) f(x) = - 6

Answer: D

178) A line with a positive slope 178) _____

A) x = -1 B) y = C) y = -1x + 5 D) -8x + 5y = 5

Answer: D

179) A horizontal line 179) _____

A) f(x) = 10 B) y = -7x + 10 C) 10x + 10y =

-2

D) x = -7

Answer: A


Graph and give the domain and the range. If it is a constant function, identify it as such.

180) f(x) = -3x - 1

180) _____

A) D = {-∞, ∞}, R = {-∞, ∞}

B) D = {-∞, ∞}, R = {-∞, ∞}

C) D = {-∞, ∞}, R = {-∞, ∞}

D) D = {-∞, ∞}, R = {-∞, ∞}

Answer: C

181) g(x) = x - 4

181) _____

Full file at https://fratstock.euA) D = {-∞, ∞}, R = {-∞, ∞}

B) D = {-∞, ∞}, R = {-∞, ∞}

C) D = {-∞, ∞}, R = {-∞, ∞}

D) D = {-∞, ∞}, R = {-∞, ∞}

Answer: B

182) h(x) = 3x

182) _____

A) D = {-∞, ∞}, R = {-∞, ∞}

B) D = {-∞, ∞}, R = {-∞, ∞}

C) D = {-∞, ∞}, R = {-∞, ∞}


D) D =

{-

∞,

∞}

,

R =

{-

∞,

∞}

Answer: B

183)

f(x) = x - 3

183) _____

A) D = {-∞, ∞}, R = {-∞, ∞}

B) D = {-∞, ∞}, R = {-∞, ∞}

C) D = {-∞, ∞}, R = {-∞, ∞}


D) D =

{-

∞,

∞}

,

R =

{-

∞,

∞}

Answer: B

184)

f(x) = x

184) _____

A) D = {-∞, ∞}, R = {-∞, ∞}

B) D = {-∞, ∞}, R = {-∞, ∞}

C) D = {-∞, ∞}, R = {-∞, ∞}


D) D =

{-

∞,

∞}

,

R =

{-

∞,

∞}

Answer: D

185) h(x) = 4

185) _____

A) D = { 4}, R = {-∞, ∞}

constant function

B) D = {-∞, ∞}, R = { 4}

constant function

C) D = {-∞, ∞}, R = { 4}

constant function


D) D

= {

4},

R =

{-

∞,

∞}

co

ns

ta

nt

fu

nc

tio

n

Answer: B

Graph and give the domain and the range.

186) y = -1

186) _____

A) D = {-∞, ∞}, R = { -1}

Full file at https://fratstock.euB) D = { -1}, R = {-∞, ∞}

C) D = {-∞, ∞}, R = { -1}

D) D = { -1}, R = {-∞, ∞}

Answer: A

187) x = 1

187) _____

A) D = {-∞, ∞}, R = { 1}

B) D = {-∞, ∞}, R = { 1}

C) D = { 1}, R = {-∞, ∞}


D) D

= {

1},

R =

{-

∞,

∞}

Answer: C

Find the slope of the line satisfying the given conditions.

188) ( 4, -3) and ( 1, -2) 188) _____

A)

-

B) 3 C)

D) - 3

Answer: A

189) ( 6, -4) and ( -5, 2) 189) _____

A)

B)

-

C)

D)

-

Answer: D

190) ( 3, -6) and ( -1, 1) 190) _____

A)

-

B)

-

C)

D)

Answer: B

191) ( 4, -4) and ( -1, -2) 191) _____

A)

B)

C)

-

D)

-

Answer: C

192) ( -4, -2) and ( -4, 9) 192) _____

A) 11 B) -11 C) Undefined D) 0

Answer: C

193) ( -9, -5) and ( 8, -5) 193) _____

A) 0 B) -17 C) Undefined D) 17

Answer: A

194) Vertical, through ( -9, 4) 194) _____

Full file at https://fratstock.euA) Undefined B) -1 C) 0 D) 1

Answer: A

195) Horizontal, through ( -9, -7) 195) _____

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

Answer: A

Find the slope of the line and sketch the graph.

196) 4x + 5y = 23

196) _____

A)

Slope:

B)

Slope: -

C)

Slope: -

D)

Slope:

Answer: C


197) 4x - 5y = -2

197) _____

A)

Slope: -

B)

Slope:

C)

Slope:

D)

Slope: -

Answer: B

198) y - 5 = 0


198) ____

_

A)

Slope:

B) Slope: 0

C) Slope: 5

D) Slope: Undefined

Answer: B

199) y = 5x


199) ____

_

A) Slope: 5

B)

Slope:

C) Slope: 0

D) Slope: -5

Answer: A

200) 2x - 5y = -26


200) ____

_

A)

Slope:

B)

Slope: -

C)

Slope:

D)

Slope: -

Answer: A

201) -5y = -4x - 12


201) ____

_

A)

Slope:

B)

Slope: -

C)

Slope:

D)

Slope: -

Answer: C

202) -5y = -4x - 3


202) ____

_

A)

Slope: -

B)

Slope:

C)

Slope: -

D)

Slope:

Answer: B

Graph the line described.

203)

Through (0, 2); m =


203) ____

_

A)

B)

C)

D)

Answer: B

204) Through ( -3, -2); m = 2

204) _____

A)


B)

C)

D)

Answer: A

205) Through (0, 6); m = - 2

205) _____

A)

B)

C)


D)

Answer: B

206)

Through (0, 4); m = -

206) _____

A)

B)

C)

D)

Full file at https://fratstock.euAnswer: D

207)

Through ( 9, 0); m = -

207) _____

A)

B)

C)

D)

Answer: D

208)

Through (0, 6); m = -


A)

B)

C)

D)

Answer: A

209) Through ( 9, 8); m = 0

209) _____

A)

B)

C)


D)

Answer: B

210) m = 0; through (5, -2)

210) _____

A)

B)

C)

D)

Answer: A


211) Undefined slope; through ( 3, 9)

211) _____

A)

B)

C)

D)

Answer: A

Find the slope of the line.

212)


A)

B)

-

C)

D)

-

Answer: B

213)

213) _____

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

Answer: A

214)

214) _____

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

Answer: D

215)

215) _____

A) -


B) 3 C)

D) -

3

Answer: B

216)

216) _____

A)

B) 0 C) 2 D) Undefined

Answer: D

217)

217) _____

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

Answer: B

Find the average rate of change illustrated in the graph.

218)

Time (in hours) 218)

Full file at https://fratstock.eu_____

A) 2.5 miles per hour B) 25 miles per hour

C) 5 miles per hour D) .2 miles per hour

Answer: C

219)

Year

219) _____

A) $ 5000.00 per year B) -$ 6000.00 per year

C) -$ 5000.00 per year D) $ 6000.00 per year

Answer: C

220)

Usage (in minutes)

220) _____

A) $4.00 per minute B) $.25 per minute

C) $2.00 per minute D) $.50 per minute

Answer: B

221)


221) ____

_

A) 1.3 mm per second B) 1 mm per second

C) .75 mm per second D) .85 mm per second

Answer: C

Solve the problem. Round your answer, as needed.

222) The rate of return of certain investments increases as the risk factor of the investment increases.

An investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk

factor of 21 has a rate of return of 14.0%. What is the average rate of return per unit of risk?

222) _____

A) 0.75% per unit risk B) 2.11% per unit risk

C) 0.47% per unit risk D) 1.33% per unit risk

Answer: C

223) A deep sea diving bell is being lowered at a constant rate. After 11 minutes, the bell is at a

depth of 300 ft. After 35 minutes the bell is at a depth of 1600 ft. What is the average rate of

lowering per minute?

223) _____

A) 54.2 ft per minute B) 45.7 ft per minute

C) 37.1 ft per minute D) 0.02 ft per minute

Answer: A

224) The table below shows the weight for a calf raised by a local rancher. Use the information to

determine the average rate of change in the calf's weight per day.

Calf's Weight

224) _____

A)

lb per day

B) 50 lbs per day C) 5 lbs per day D) 500 lbs per day

Answer: C


1) D

2) C

3) B

4) A

5) D

6) D

7) A

8) B

9) C

10) C

11) D

12) A

13) A

14) B

15) A

16) B

17) A

18) A

19) B

20) B

21) A

22) B

23) B

24) C

25) C

26) C

27) C

28) B

29) C

30) D

31) C

32) D

33) A

34) C

35) D

36) D

37) A

38) A

39) D

40) C

41) C

42) B

43) C

44) A

45) A

46) C

47) D

48) C

49) A

50) A

51) B

Full file at https://fratstock.eu52) A

53) B

54) B

55) A

56) B

57) A

58) D

59) B

60) B

61) C

62) C

63) A

64) C

65) D

66) A

67) B

68) A

69) D

70) A

71) B

72) C

73) B

74) B

75) A

76) B

77) B

78) B

79) A

80) B

81) A

82) B

83) A

84) A

85) A

86) A

87) B

88) A

89) B

90) A

91) A

92) A

93) A

94) A

95) A

96) B

97) A

98) B

99) B

100) A

101) A

102) A

103) B


105) A

106) B

107) A

108) B

109) B

110) A

111) A

112) A

113) D

114) B

115) B

116) B

117) C

118) C

119) C

120) B

121) A

122) C

123) B

124) B

125) D

126) A

127) C

128) A

129) A

130) B

131) B

132) D

133) C

134) D

135) B

136) D

137) A

138) D

139) B

140) B

141) C

142) A

143) D

144) C

145) D

146) B

147) A

148) C

149) B

150) C

151) B

152) C

153) A

154) B

155) D


157) B

158) D

159) B

160) C

161) D

162) A

163) A

164) B

165) A

166) B

167) A

168) B

169) C

170) D

171) D

172) B

173) A

174) A

175) D

176) C

177) D

178) D

179) A

180) C

181) B

182) B

183) B

184) D

185) B

186) A

187) C

188) A

189) D

190) B

191) C

192) C

193) A

194) A

195) A

196) C

197) B

198) B

199) A

200) A

201) C

202) B

203) B

204) A

205) B

206) D

207) D


209) B

210) A

211) A

212) B

213) A

214) D

215) B

216) D

217) B

218) C

219) C

220) B

221) C

222) C

223) A

224) C

full file at ://fratstock.eu/sample/test-bank-college-algebra...full file at solve. 23) the graph...

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