v2 precalc review test 1

Precalculus review for test

Name___________________________________

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

Find the slope-intercept form of the equation of the line with the given properties.1) x-intercept = 5; y-intercept = 2 1)

A) y = -52

x + 5 B) y = -25

x + 5 C) y =25

x + 2 D) y = -25

x + 2

Solve the problem.2) Find the equation of a circle in standard form with center at the point (-3, 2) and tangent to the line

y = 4.2)

A) (x - 3)2 + (y + 2)2 = 4 B) (x - 3)2 + (y + 2)2 = 16C) (x + 3)2 + (y - 2)2 = 16 D) (x + 3)2 + (y - 2)2 = 4

3) Find the equation of a circle in standard form where C(6, -2) and D(-4, 4) are endpoints of adiameter.

3)

A) (x + 1)2 + (y + 1)2 = 136 B) (x - 1)2 + (y - 1)2 = 136C) (x + 1)2 + (y + 1)2 = 34 D) (x - 1)2 + (y - 1)2 = 34

1

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

4) If a circle of radius 5 is made to roll along the x-axis, what is the equation for the path ofthe center of the circle?

4)


5) If (1, 4) is the endpoint of a line segment, and (0, 7) is its midpoint, find the other endpoint. 5)A) (7, 2) B) (3, -2) C) (-1, 1) D) (-1, 10)

List the intercepts of the graph.Tell whether the graph is symmetric with respect to the x-axis, y-axis, origin, or none ofthese.

6) 6)

A) intercept: (0, 4)symmetric with respect to x-axis

B) intercept: (0, 4)no symmetry

C) intercept: (4, 0)no symmetry

D) intercept: (4, 0)symmetric with respect to y-axis

2


Graph the equation.7) (x - 2)2 + (y + 1)2 = 16 7)


List the intercepts and type(s) of symmetry, if any.8) 16x2 + 9y2 = 144 8)

A) intercepts: (4, 0), (-4, 0), (0, 3), (0, -3)symmetric with respect to the origin

B) intercepts: (3, 0), (-3, 0), (0, 4), (0, -4)symmetric with respect to x-axis, y-axis, and origin

C) intercepts: (3, 0), (-3, 0), (0, 4), (0, -4)symmetric with respect to x-axis and y-axis

D) intercepts: (4, 0), (-4, 0), (0, 3), (0, -3)symmetric with respect to x-axis and y-axis

3

Find an equation for the line with the given properties.9) Perpendicular to the line x = 8; containing the point (5, 7) 9)

A) y = 5 B) x = 7 C) y = 7 D) x = 5

10) Parallel to the line 9x + 8y = -36; containing the point (4, -15) 10)A) 8x + 9y = -15 B) 9x - 8y = -84 C) 4x + 8y = -36 D) 9x + 8y = -84


Find the center (h, k) and radius r of the circle. Graph the circle.11) x2 + y2 - 2x - 10y + 1 = 0 11)

4


Find the distance d(P1, P2) between the points P1 and P2.12) P1 = (-5, -1); P2 = (7, 3) 12)

A) 4 10 B) 128 C) 128 2 D) 8

Find the center (h, k) and radius r of the circle with the given equation.13) 4x2 + 4y2 - 12x + 16y - 5 = 0 13)

A) (h, k) = -32

, 2 ; r=3 5

2B) (h, k) =

32

, -2 ; r =3 5

2

C) (h, k) = -32

, 2 ; r =302

D) (h, k) =32

, -2 ; r =302

Write the equation in slope-intercept form.14) x = 6y + 7 14)

A) y = x -76

B) y =16

x - 7 C) y = 6x - 7 D) y =16

x -76

5

v2 precalc review test 1

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