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1. |
Simplify  Assume the denominator is not equal to zero. |
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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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2. |
Find (4y - 5)(3y - 7). |
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A. |
12y2 – 13y + 35 |
B. |
12y2 + 35 |
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C. |
12y2 – 43y + 35 |
D. |
12y2 – 43y - 35 |
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Hint |
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3. |
Find (x - 4)2. |
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A. |
x2 - 4x + 16 |
B. |
x2 + 16 |
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C. |
x2 - 8x + 16 |
D. |
x2 - 16 |
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Hint |
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4. |
A rotation of 180° counterclockwise or 180° clockwise would be ______. |
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A. |
impossible |
B. |
None of these is correct. |
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C. |
the same |
D. |
different |
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Hint |
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5. |
State the excluded values of x in the expression  . |
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A. |
 or 3 |
B. |
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C. |
, 3, or 4 |
D. |
 or - 3 |
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Hint |
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6. |
Find  . |
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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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7. |
Find  . |
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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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8. |
Find  . |
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A. |
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B. |
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C. |
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D. |
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9. |
Solve  . |
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A. |
4 |
B. |
1 or 4 |
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C. |
-2 |
D. |
0 |
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Hint |
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10. |
Solve  . |
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A. |
-2 or  |
B. |
-2 |
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C. |
5 |
D. |
-2 or 7 |
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Hint |
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11. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
-4, 5 |
B. |
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C. |
-5, 4 |
D. |
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Hint |
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12. |
Find the equation of the following graph. |
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A. |
y = x3 |
B. |
y =  |
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C. |
y =  |
D. |
y = x2 |
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Hint |
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13. |
In the relationship  , why is y inversely proportional to x? |
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A. |
the relationship is undefined at x = 0 |
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B. |
8 is divided into x |
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C. |
the product of xy is a constant, 8 |
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D. |
8 is divided into y |
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Hint |
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14. |
Find the values for m and n which the conjecture (m – n)2 = m2 – n2 is false. |
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A. |
m = –2, n = 0 |
B. |
m = 1, n = 2 |
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C. |
m = 1, n = 1 |
D. |
m = 1, n = 0 |
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Hint |
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15. |
Which equation represents exponential decay? |
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A. |
y = 63 × 4.4x |
B. |
y = 63 × 0.4x |
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C. |
y =  · 63x |
D. |
y = 63 × 4x |
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Hint |
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16. |
Find a solution to the equation using backtracking.
 |
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A. |
c = –1 |
B. |
c = –14 |
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C. |
c = 2 |
D. |
c = 8 |
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Hint |
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17. |
Find a solution to the equation by doing the same thing to both sides.
8p + 14 = 2p – 22 |
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A. |
p = –6 |
B. |
p = –1 |
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C. |
p = 1 |
D. |
p = 6 |
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Hint |
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18. |
If you want to scale a segment by a factor of 8, how long will the new segment be? |
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A. |
8 times its original size |
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B. |
 of its original size |
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C. |
80% of its original size |
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D. |
64 times its original size |
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Hint |
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19. |
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. Approximately what is the length and width of the parking lot? |
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A. |
length: 180.56 ftwidth: 80.56 ft |
B. |
length: 182.29 ftwidth: 82.29 ft |
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C. |
length: 184.17 ftwidth: 84.17 ft |
D. |
length: 300.03 ftwidth: 50.03 ft |
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Hint |
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20. |
In the quadratic formula, what does b2 – 4ac tell you. |
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A. |
the solution(s) in a quadratic equation |
B. |
the places where a quadratic equation crosses the x-axis |
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C. |
the number of solutions in a quadratic equation |
D. |
the vertex of a quadratic equation |
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Hint |
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