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1. |
The system of equations on the graph shown is |
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A. |
consistent and dependent. |
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B. |
consistent and independent. |
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C. |
consistent. |
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D. |
inconsistent. |
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Hint |
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2. |
Find an equation of the line that passes through (0, -6) and (5, 3). |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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3. |
Find an equation for the graph below. |
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A. |
(x - 4)2 + (y + 1)2 = 2 |
B. |
(x - 4)2 + (y + 1)2 = 4 |
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C. |
(x + 4)2 + (y - 1)2 = 2 |
D. |
(x + 4)2 + (y - 1)2 = 4 |
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Hint |
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4. |
Which pair of functions are inverses? |
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A. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
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B. |
f(x) = 4x, g(x) = -4x |
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C. |
 |
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D. |
 |
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Hint |
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5. |
Simplify  |
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A. |
 |
B. |
1 |
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C. |
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D. |
 |
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Hint |
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6. |
Simplify  . |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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7. |
Solve log4 x = 3 |
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A. |
81 |
B. |
64 |
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C. |
16 |
D. |
12 |
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Hint |
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8. |
The letters a, b, c, and d will be used to form passwords for the school's computer system. How many 4-letter passwords may be formed if the letters can be used more than once in any password? |
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A. |
20 |
B. |
16 |
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C. |
300 |
D. |
256 |
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Hint |
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9. |
Solve the system 4y – 6x + 8z = 13, 10y – 15x + 20z = 6, y – 5x + 2z = 5. |
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A. |
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B. |
(-3, 1, 7) |
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C. |
no solution |
D. |
infinite solutions |
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Hint |
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10. |
Factor 4x2 – 5x – 6. |
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A. |
 |
B. |
 |
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C. |
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D. |
(4x + 3)(x – 2) |
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Hint |
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11. |
In the expression q9 = p, what is the cube root of p? |
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A. |
 |
B. |
q6 |
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C. |
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D. |
q3 |
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Hint |
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12. |
Is the following expression simplified?  |
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A. |
yes, since the power on x is < 1 in the numerator |
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B. |
Yes, since the power on x is = 1 in the denominator. |
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C. |
no, since the index of 4 could be smaller |
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D. |
no, since there is a radical in the denominator |
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Hint |
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13. |
Solve x2 - 2x + 1 = 18 by using the Square Root Property. |
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A. |
-5 and 2 |
B. |
 and |
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C. |
5 and –2 |
D. |
 and  |
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Hint |
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14. |
If the graph of y = x2 is shifted 4 units to the right, and 2 units down, what is the equation of the new graph? |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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15. |
Find the vertex of the graph of the function  . |
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A. |
(–1, 4) |
B. |
(–1, –2) |
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C. |
(1, –2) |
D. |
(1, 4) |
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Hint |
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16. |
What is the height of a computer whose base is x2 + 4x + 4 and whose volume is x3 + 3x2 – 4? |
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A. |
x – 1 |
B. |
(x – 1)( x + 2) |
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C. |
x + 1 |
D. |
x + 2 |
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Hint |
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17. |
Is the inverse of a quadratic function a square root function? |
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A. |
No. |
B. |
It is a square root function only if the range is restricted to nonnegative numbers. |
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C. |
It is a square root function only if it is a quadratic function that opens up. |
D. |
Yes. |
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Hint |
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18. |
Solve the equation 2 log 6 x – log 6 5 = log 6 125. |
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A. |
312.5 |
B. |
–25 |
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C. |
no solution |
D. |
25 |
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Hint |
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19. |
Evaluate  |
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A. |
372 |
B. |
377 |
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C. |
434 |
D. |
403 |
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Hint |
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20. |
Suppose a family has 9 children. What is the probability that they have at least 5 boys? |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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