1.
What is the midpoint of the segment joining (3, 5) and (-6, 11)?
a. (-3, 16)
b. (4.5, -3)
c. (-1.5, 8)
d. (7, -.5)
2. What is the distance between the points (-7, 7) and (-4, 11)?
a. 25 units
b. 5 units
c. 7 units
d.
3. What is the distance between the points (, 10) and (, 8)?
a. 256 units
b.
c.
d. 16 units
4. What is the vertex of the parabola with the equation (y - 1)2 = 4x?
a. (0, 1)
b. (-1, 4)
c. (4, -1)
d. (-1, 0)
5. What is the focus of the parabola with the equation (x - 1)2 + 32= 8y?
a. (1, 4)
b. (1, 2)
c. (-1, 6)
d. (1, 6)
6. What is the directrix of the parabola with the equation ?
a. x = -2
b. x = -3
c. y = -5.5
d. y = -.5
7. What is the axis of symmetry of the parabola with the equation ?
a. x = 3
b. x = 4
c. y = 1
d. y = -1
Figure 1
8. Which equation is shown by the graph in Figure 1?
a. y = 2x2
b. y = -2x2
c. x = 2y2
d. x = -2y2
9. Find the center of a circle with the equation x2 + y2 + 2x + 4y - 9 = 0.
a. (-1, -2)
b. (1, -2)
c. (-1, 2)
d. (1, 2)
10. Find the radius of a circle with the equation x2 + y2 - 6x - 12y + 36 = 0.
a. 9
b. 6
c. 3
d. 1
Figure 2
11. Which equation is shown by the graph in Figure 2?
a. 2x2 + 2y2 = 2
b. (x - 2)2 + (y - 2)2 = 4
c. x2 + y2 = 2
d. 3x2 + 3y2 = 12
12. Find the center of an ellipse with the equation 9x2 + 16y2 - 18x + 64y = 71.
a. (-1, 2)
b. (1, -2)
c. (-2, 1)
d. (2, -1)
13. Find the foci of an ellipse with the equation 7(x - 2)2 + 3(y - 2)2 = 21.
a. (-4, -2) and (0, -2)
b. (-2, -4) and (-2, 0)
c. (4, 2) and (0, 2)
d. (2, 4) and (2, 0)
14. Find the length of the major and minor axes of an ellipse with the equation 16x2 + 25y2 + 32x - 150y = 159.
a. 5 and 4 units
b. 25 and 16 units
c. 10 and 8 units
d. 50 and 32 units
Figure 3
15.
Which equation is shown by the graph in Figure 3?
a.
b.
c.
d.
16.
Find the vertices of a hyperbola with the equation (x + 3)2 - 4(y - 2)2 = 4.
a. (-4, 2) and (-2, 2)
b. (-5, 2) and (-1, 2)
c. (4, -3) and (0, -3)
d. (3, -3) and (1, -3)
17.
Find the foci of a hyperbola with the equation 9y2 - 72y - 16x2 - 64x - 64 = 0.
a. (3, 4) and (-7, 4)
b. (-3, -4) and (7, -4)
c. (2, 1) and (2, -9)
d. (-2, -1) and (-2, 9)
18.
Find the slopes of the asymptotes of a hyperbola with the equation y2 = 36 + 4x2.
a. 2, -2
b. 1/2, -1/2
c. 4, -4
d. 1/4, -1/4
Figure 4
19.
Which equation is shown by the graph in Figure 4?
a.
b.
c.
d.
20. What is the graph of the equation 6x2 - 24x - 5y2 - 10y - 11 = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
21.
What is the graph of the equation 5x2 + 2y2 + 30x - 16y + 67 = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
22. What is the graph of the equation x2 + y2 - 8x + 6y + 24 = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
23. What is the graph of the equation x2 + 2x + 7 - y = 0?
a. parabola
b. circle
c. ellipse
d. hyperbola
24. Identify the solutions to the system of equations:
x2 + y2 = 25
16x2 + 25y2 = 400
a. no solutions
b. (5, 0)
c. (-5, 0)
d. (5, 0) and (-5, 0)
25. Identify the solutions to the system of equations:
y2 - x2 = 16
x2 - y2 = 16
a. no solutions
b. (4, 0)
c. (-4, 0)
d. (4, 0) and (-4, 0)
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