College algebra 2nd edition kirk trigsted test bank

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies... Sketch the graph for the equation by plotting points... D D Determine whether the

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

Plot the ordered pair in the Cartesian plane, and state in which quadrant or on which axis it lies

D) Quadrant I

2) (-5, 2)

2) _

A) Quadrant IV

B) Quadrant I

C) Quadrant II

D) Quadrant III

uadran

t

II

uadran

t III

D) Quadrant II

Sketch the graph for the equation by plotting points

D)

8) y = 2x - 4

8) _

A)

B)

C)

D)

D)

D)

Determine whether the indicated ordered pair lies on the graph of the given equation

Determine whether the points A, B, C and D form a parallelogram

Find the center and radius of the circle with the given equation

D)

D)

46) x2 + (y - 2)2 = 25

D)

47) + = 4

47)

A)

B)

C)

D)

Find the intercepts of the circle Round to the nearest hundredth, when necessary

A) The two x-intercepts are x = 3 and x = - 3, and the two y-intercepts are y = 3 and y = - 3

B) The x-intercept is x = 9, and the y-intercept is y = 9

C) The two x-intercepts are x = 9 and x = - 9, and the two y-intercepts are y = 9 and y = - 9

D) The x-intercept is x = 3, and the y-intercept is y = 3

A) The two x-intercepts are x = 4 and x = - 4, and the two y-intercepts are y = 2 and y = - 2

B) The two x-intercepts are x = 6 and x = - 6, and the two y-intercepts are y = 2 and y = - 2

C) There are no intercepts

D) The x-intercept is x = 4, and the y-intercept is y = - 4

A) The two x-intercepts are x ≈ 2.29 and x ≈ -8.29, and the two y-intercepts are y ≈ 7.74 and y ≈

-3.74

B) There are no intercepts

C) The two x-intercepts are x ≈ 7.47 and x ≈ -1.47, and the two y-intercepts are y ≈ 1.87 and y ≈

B) The x-intercept is x ≈ 40.32, and the y-intercept is y ≈ 39.7

C) There are no intercepts

D) The two x-intercepts are x ≈ 2.13 and x ≈ -1.59, and the two y-intercepts are y ≈ 2.35 and y ≈

D) Center (-2, -1), r = 5

53) x2 + y2 + 10x + 6y + 30 = 0

D) Center (5, 3), r = 2

Find the center and radius of the circle with the given equation

C)

-

D)

-

A)

B)

C)

-

D)

-

A)

-

B)

C)

D)

-

Sketch the line with the given slope that passes through the indicated point

67) Slope = - 2; line passes through the point (-5, 3)

67)

A)

B)

C)

D)

D)

69) Slope = - 1; line passes through the point (-2, -2)

D)

pe

D)

71) Slope = - 1; line passes through the point (0, 4)

D)

72) Slope = 1; line passes through the point (- 2, 0)

72)

A)

B)

C)

D)

D)

74) Slope = 0; line passes through the point (-5, -10)

D)

75) Slope is undefined; line passes through the point (1, 2)

D)

Find the point-slope equation for the line with the given properties

y - 2 = (x - 4)

D)

y - 2 = - (x - 4)

Find the equation of the line passing through the indicated two points Write the equation in point-slope form

78) (-4, -1) and (2, 11) 78) A) y - 1 = 2(x - 4) or y + 11 = 2(x + 2) B) y + 1 = 2(x + 4) or y - 11 = 2(x - 2)

y - 8 = - (x + 6) or y - 6 = - (x + 9)

D)

y - 8 = (x + 6) or y - 6 = (x + 9)

y + = (x + 1) or y + = (x + 5)

D)

y + = 5(x + 1) or y + = 5(x + 5)

Find the slope-intercept form of the equation of the line with the given properties

Find the equation of the line passing through the indicated two points Write the equation in slope-intercept form

A) slope = 0; y-intercept = -10 B) slope = 1; y-intercept = -10

C) slope = -1; y-intercept = 10 D) slope = -1; y-intercept = -10

A)

slope = - ; y-intercept =

B) slope = ; y-intercept = -

slope = ; y-intercept =

slope = ; y-intercept = C)

slope = ; y-intercept =

D) slope = ; y-intercept = -

slope = ; y-intercept = -7 C)

slope = ; y-intercept = 5

D) slope = - ; y-intercept = 7

A)

slope = ; y-intercept =

B) slope = - ; y-intercept = C) slope = 1; y-intercept = 1 D) slope = -4; y-intercept = 4

Find the slope of the line determined by the given equation and then sketch the line

109) 3x + 5y = 24

C)

slope =

D) slope =

110) 4x - 5y = -12

110) _

A)

slope = -

B) slope =

C)

slope = -

D) slope =

Graph the equation by plotting intercepts

111) 2x - y = -6

111) _

A)

B)

C)

D)

D)

Find the slope-intercept form of the equation of the line with the given properties

113) Find the equation of the horizontal line passing through the point (-6, 5) 113) _

A) always intersect at (0, 0)

B) have slopes that are negative reciprocals of each other

C) have the same slope

D) have opposite slopes

A) have slopes that are negative reciprocals of each other

B) have the same slope

C) have opposite slopes

D) always intersect at a 45° angle

Find the equation of the line described, and express your answer in the specified form

124) Parallel to the line y = 2x; passes through the point (5, 7); slope-intercept form 124) _ A) y - 7 = 2x - 5 B) y = 2x + 3 C) y = 2x - 3 D) y = 2x

126) Parallel to the line 2x - y = 2; passes through the point (0, 0); slope-intercept form 126) _ A)

134) Perpendicular to the line ; passes through the point (3, 5); slope-intercept form 134) _ A) y = - 7x + 26 B) y = 7x - 26 C)

Use slope to determine whether the quadrilateral with the given vertices forms a parallelogram If it is a

parallelogram, determine whether it is also a rhombus

A) No, it is not a parallelogram (nor is it a rhombus)

B) Yes, it is a parallelogram and it is also a rhombus

C) Yes, it is a parallelogram but it is not also a rhombus

A) Yes, it is a parallelogram but it is not also a rhombus

B) No, it is not a parallelogram (nor is it a rhombus)

C) Yes, it is a parallelogram and it is also a rhombus

1) D 2) C 3) B 4) D 5) C 6) B 7) D 8) D 9) A 10) C 11) A 12) B 13) A 14) B 15) A 16) B 17) B 18) B 19) A 20) D 21) D 22) A 23) B 24) A 25) B 26) C 27) C 28) D 29) A 30) A 31) A 32) A 33) B 34) B 35) A 36) A 37) B 38) C 39) C 40) C 41) C 42) C 43) B 44) C 45) D 46) C 47) D 48) A 49) C 50) D 51) D

52) A 53) A 54) D 55) C 56) C 57) B 58) C 59) A 60) A 61) C 62) D 63) C 64) B 65) D 66) B 67) B 68) B 69) C 70) C 71) A 72) C 73) D 74) A 75) B 76) A 77) D 78) B 79) A 80) D 81) C 82) B 83) B 84) B 85) D 86) D 87) C 88) C 89) A 90) B 91) B 92) D 93) A 94) C 95) A 96) A 97) B 98) B 99) D 100) C 101) D 102) B 103) D

104) A 105) D 106) B 107) B 108) C 109) A 110) D 111) C 112) D 113) B 114) A 115) D 116) C 117) C 118) A 119) B 120) B 121) A 122) C 123) B 124) C 125) C 126) D 127) A 128) B 129) D 130) B 131) C 132) D 133) A 134) A 135) B 136) A 137) B 138) A 139) B 140) C 141) B