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1. |
Which inequality is graphed below? |
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A. |
x < 8 |
B. |
y < 8 |
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C. |
y > 8 |
D. |
y < 8 |
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Hint |
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2. |
Select the segment that has been bisected. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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3. |
Find (5t2 - 2w)2 |
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A. |
25t4 + 4w2 |
B. |
25t4 – 10t2w + 4w2 |
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C. |
25t4 – 20t2w + 4w2 |
D. |
25t4 – 4w2 |
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Hint |
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4. |
Find (4r + 7s)(4r - 7s) |
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A. |
16r2 - 56rs + 49s2 |
B. |
16r2 + 49s2 |
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C. |
16r2 - 49s2 |
D. |
16r2 + 56rs + 49s2 |
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Hint |
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5. |
Solve the equation x2 = 0.81. |
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A. |
none of these is correct |
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B. |
x = 0.9 only |
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C. |
x = 0.9 or x = -0.9 |
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D. |
x = -0.9 only |
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Hint |
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6. |
Find the value of c that makes x2 + 16x + c a perfect square. |
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A. |
16 |
B. |
64 |
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C. |
-64 |
D. |
8 |
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Hint |
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7. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
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B. |
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C. |
-5, 4 |
D. |
-4, 5 |
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Hint |
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8. |
Write the equation in slope-intercept form. –6x = –10 – 2y |
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A. |
y + 8 = 3(x + 1) |
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B. |
–6x + 2y + 10 = 0 |
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C. |
y = 3x – 5 |
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D. |
y = 3x + 8 |
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Hint |
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9. |
What is the lowest point on the graph of y = x2 + 2? |
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A. |
(2, 0) |
B. |
(0, –2) |
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C. |
(0, 2) |
D. |
(0, 0) |
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Hint |
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10. |
Which equation is in the same family as y = x2? |
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A. |
y = 2x – 3 |
B. |
y = 2x2 – 3 |
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C. |
y = x2 – 3 |
D. |
y = x3 – 3 |
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Hint |
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11. |
Find a solution to the equation using backtracking.
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A. |
c = 2 |
B. |
c = 8 |
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C. |
c = –1 |
D. |
c = –14 |
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Hint |
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12. |
How could you use the graph of h = 20t – 6t2 to estimate the solution(s) of 20t – 6t2 = 7, where h stands for height and t stands for time? |
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A. |
Draw a vertical line at t = 20 and find where it intersects the curve. |
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B. |
Draw a horizontal line at h = 7 and find where it intersects the curve. |
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C. |
Draw a vertical line at t = 7 and find where it intersects the curve. |
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D. |
Draw a horizontal line at h = 20 and find where it intersects the curve. |
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Hint |
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13. |
Find a rule for a translation that moves a point 3 units to the right and 10 units down. |
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A. |
rule: (x, y) (x + 10, y – 3) |
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B. |
rule: (x, y) (x – 3, y + 10) |
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C. |
rule: (x, y) (x + 3, y – 10) |
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D. |
rule: (x, y) (x – 10, y + 3) |
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Hint |
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14. |
Expand the expression.(6p – 7) 2 |
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A. |
36p2 + 49 |
B. |
36p2 – 84p + 49 |
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C. |
36p2 + 84p – 49 |
D. |
36p2 – 49 |
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Hint |
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15. |
Find the correct equation for the flowchart. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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16. |
Solve the equation by backtracking. |
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A. |
f = –21 |
B. |
f = –24 |
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C. |
f = 16 |
D. |
f = –28 |
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Hint |
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17. |
Give the approximate solutions of this equation.(2z – 3) 2 – 31 = 33 |
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A. |
z = –2.5 and z = 5.5 |
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B. |
z = 2.5 and z = 5.5 |
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C. |
z = –2.5 and z = –5.5 |
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D. |
z = 2.5 and z = –5.5 |
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Hint |
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18. |
Prospect High School decided to add a new parking lot for its increased student population. They just bought 15,000 ft2 of land next to the school. The only requirement of the new parking lot is that the length should be 100 feet more than the width. What is the quadratic equation representing the school's requirements? |
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A. |
x2 + 100x – 15,000 = 0 |
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B. |
x2 – 100x + 15,000 = 0 |
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C. |
x2 + 100x + 15,000 = 0 |
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D. |
x2 – 100x – 15,000 = 0 |
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Hint |
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19. |
Triple the number, subtract 5, and square the result.Which function describes the rule? |
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A. |
y = 3x2 – 5 |
B. |
y = (3x – 5) 2 |
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C. |
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D. |
y = 3(x – 5) 2 |
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Hint |
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20. |
Dave, Shareem, Li, and Katlin are deciding which two players will play the first game of checkers. They put their names into a hat and pull out two at random. What is the probability that the pair includes Katlin? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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