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1. |
Choose the graph of y < 2x. |
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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. |
State the solution of the system of equations graphed below. |
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A. |
(3, -1) |
B. |
(0, 3) |
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C. |
(3, 1) |
D. |
(-1, 3) |
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Hint |
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3. |
Simplify  |
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A. |
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B. |
0 |
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C. |
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D. |
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Hint |
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4. |
Express using exponents. |
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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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5. |
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in seconds that it takes for the ball to hit the ground can be found by solving the equation 5 + 50t - 16t2 = 0. Approximately how long does it take for the ball to hit the ground? |
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A. |
3.2 s |
B. |
-0.1 s |
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C. |
0.1 s |
D. |
4.8 s |
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Hint |
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6. |
Solve x2 + 2x - 15 > 0. |
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A. |
{x | x < -5 or x > 3} |
B. |
-3, 5 |
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C. |
{x | -5 < x < 3} |
D. |
{x | x < -3 or x > 5} |
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Hint |
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7. |
Simplify  |
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A. |
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B. |
y3 |
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C. |
y30 |
D. |
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Hint |
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8. |
Radioactivity The half-life of uranium-232 is 72 years. Find the approximate value of k in the formula y = nekt for uranium-232. Assume t is in years. |
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A. |
0.0012 |
B. |
-0.0096 |
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C. |
-0.0048 |
D. |
-0.0024 |
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Hint |
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9. |
Write an equation for the nth term of the arithmetic sequence 18, 30, 42, 54, 66, . . . . |
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A. |
an = n + 18 |
B. |
an = 12n + 6 |
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C. |
an = 18n + 12 |
D. |
an = 30n + 6 |
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Hint |
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10. |
Find the domain of the relation shown in the graph. |
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A. |
{-3, -2, -1, 0, 1, 3} |
B. |
{0, 1, 2, 3} |
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C. |
{-3, -2, -1, 0, 1, 2, 3, 5} |
D. |
{-2, -1, 1, 2, 3, 5} |
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Hint |
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11. |
What are the coordinates of the vertices of the image of rectangle HJKL with H(4, 1), J(-3, -2), K(2, -6), and L(-4, 5) after a reflection across the x-axis? |
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A. |
H'(-4, –1), J'(3, 2), K'(-2, 6), L'(4, -5) |
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B. |
H'(-4, –1), J'(-3, -2), K'(-2, -6), L'(-4, -5) |
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C. |
H'(-4, 1), J'(3, -2), K'(-2, -6), L>'(4, 5) |
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D. |
H'(4, –1), J'(-3, 2), K'(2, 6), L'(-4, -5) |
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Hint |
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12. |
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A. |
–5 |
B. |
5 |
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C. |
4 |
D. |
1 |
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Hint |
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13. |
Simplify: if  |
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A. |
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B. |
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C. |
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D. |
Cannot be simplified further. |
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Hint |
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14. |
Simplify  |
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A. |
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B. |
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C. |
t |
D. |
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Hint |
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15. |
Simplify  |
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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. |
Find two real numbers whose sum is 12 and whose product is 32. |
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A. |
7 and 5 |
B. |
2.25 and –14.25 |
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C. |
8 and 4 |
D. |
no solution |
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Hint |
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17. |
What is the major difference between circles and ellipses? |
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A. |
Ellipses may be elongated on one axis, while circles have a constant radius. |
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B. |
Equations for ellipses can always be written in the form , while circles cannot. |
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C. |
Ellipses are functions of x, while circles are not. |
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D. |
In circles, one of the squared terms has a coefficient that is = 0. |
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Hint |
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18. |
Simplify . |
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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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19. |
Which of the following is an example of an expression whose seventh term in its binomial expansion is 1716x7y6? |
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A. |
(2x + y)11 |
B. |
(x + y)14 |
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C. |
(x + 3y)12 |
D. |
(x + y)13 |
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Hint |
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20. |
Which of the following is a counterexample to the statement 8p – 3 is prime? |
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A. |
p = 4 |
B. |
p = 2 |
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C. |
p = 3 |
D. |
none of the above |
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Hint |
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