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1. |
The equations y = -0.38x + 56.6 and y = 0.38x + 43.4 represent the percent of men and women, respectively, receiving bachelor's degrees, where x is the number of years since 1968. In approximately what year did the same percent of men and women receive bachelor's degrees? |
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A. |
1990 |
B. |
1980 |
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C. |
1985 |
D. |
1995 |
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Hint |
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2. |
Solve the system of inequalities by graphing. 
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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. |
Solve the system of equations. 
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A. |
(1, 1, 2) |
B. |
no solution |
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C. |
(0, -2, 7) |
D. |
infinite number of solutions |
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Hint |
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4. |
Use synthetic division to find
(4x3 + 13x2 - 2x -15) ÷ (x + 3). |
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A. |
4x2 + x - 5 |
B. |
4x - 5 |
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C. |
x2 + x - 5 |
D. |
4x2 + x + 5 |
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Hint |
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5. |
Find the coordinates of the midpoint of the segment whose endpoints have coordinates (-2, 4) and (3, -1). |
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A. |
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B. |
(-5, 5) |
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C. |
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D. |
(1, 3) |
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Hint |
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6. |
Solve the system of equations.
x + y = 5
(x - 1)2 + y2 = 8 |
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A. |
no solution |
B. |
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C. |
(3, -2) |
D. |
(3, 2) |
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Hint |
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7. |
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. |
4.8 s |
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C. |
-0.1 s |
D. |
0.1 s |
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Hint |
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8. |
Solve 2m2 - 3m -2  0. |
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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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9. |
Find all of the rational zeros of the function p(x) = 2x3 + 3x2 - 11x - 6. |
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A. |
-3, 1 |
B. |
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C. |
-6 |
D. |
-3, 2 |
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Hint |
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10. |
Which equation is in quadratic form? |
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A. |
x4 - x2 + x - 1 = 0 |
B. |
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C. |
3x3 + 3x + 3 = 0 |
D. |
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Hint |
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11. |
Which pair of functions are inverses? |
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A. |
f(x) = 4x, g(x) = -4x |
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B. |
f(x) = 2x + 1,
g(x) = 2x - 1 |
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C. |
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D. |
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Hint |
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12. |
Solve  |
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A. |
-4 |
B. |
-4. 3 |
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C. |
4 |
D. |
-3, 4 |
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Hint |
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13. |
Find  to three decimal places. |
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A. |
1.6113 |
B. |
1.3617 |
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C. |
2.3225 |
D. |
3.1355 |
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Hint |
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14. |
Suppose  has vertices A(3, 4), B(-2, 1) and C(2, –3). Dilate so that its perimeter is one-fourth the original perimeter. What are the coordinates of the vertices of  |
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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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15. |
Which of the following is a matrix equation for the system 5x – 3y =11, –3x + 2y = 7? |
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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. |
Express the result in scientific notation. (3 × 10-3)(2 × 109) |
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A. |
6 × 106 |
B. |
3 × 1012 |
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C. |
3 × 106 |
D. |
6 × 1012 |
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Hint |
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17. |
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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18. |
Which point is the farthest from (2, –3)? |
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A. |
(-1, -2) |
B. |
(1, -1) |
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C. |
(-1, -4) |
D. |
(4, 0) |
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Hint |
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19. |
What is the equation of a parabola that is translated 3 units left and 2 units up from the parabola  ? |
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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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20. |
What is an equivalent logarithmic equation to ex = 7? |
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A. |
7 = ln e |
B. |
x = ln 7 |
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C. |
ln x = 7 |
D. |
ex = ln 7 |
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Hint |
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