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1. |
Rewrite the equation 3x + y = 7 in slope-intercept form. |
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A. |
y = 3x - 7 |
B. |
y = 7x + 3 |
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C. |
y = -3x + 7 |
D. |
y = -3x - 7 |
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Hint |
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2. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
B. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
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C. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
D. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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Hint |
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3. |
Which is the graph of y x3 + 1? |
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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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4. |
A family has a monthly net pay N which is 70% of their gross monthly pay G. They decided to subtract their monthly food allowance of $350 from their monthly net pay and invest 5% of the remainder. Write an equation for the investment each month I, given the above restrictions. |
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A. |
I = 0.95(0.3G - 350) |
B. |
I = 0.05(0.3G - 350) |
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C. |
I = 0.95(0.7G - 350) |
D. |
I = 0.05(0.7G - 350) |
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Hint |
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5. |
Use the parent graph f(x) = to graph the function g(x) = ; identify the new location of each asymptote. |
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A. |
The vertical asymptote is at x = 0, and the horizontal asymptote is at y = -3. |
B. |
none of these |
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C. |
The vertical asymptote is at x = 3 and the horizontal asymptote is at y = 1. |
D. |
The vertical asymptote is at x = -3, and the horizontal asymptote is at y = 0. |
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Hint |
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6. |
Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation. |
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A. |
k = and y = 13 · 7x |
B. |
k = and y = 13 · 7x |
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C. |
k = and y = x |
D. |
k = and y = x |
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Hint |
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7. |
Determine the zeros of the function y = x3 + 2x2 - 5x - 6. |
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A. |
-1, 2, 3 |
B. |
-3, -1, 4 |
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C. |
-3, -1, 2 |
D. |
-3, 2, 0 |
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Hint |
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8. |
Determine the number of complex zeros of the function f(x) = x5 - 4x2 + 2x - 1. |
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A. |
5 |
B. |
4 |
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C. |
3 |
D. |
2 |
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Hint |
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9. |
Use the unit circle to find sec (-180°). |
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A. |
-1 |
B. |
1 |
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C. |
undefined |
D. |
0 |
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Hint |
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10. |
Suppose is an angle in standard position whose terminal side lies in Quadrant II. If , find  |
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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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11. |
Which is not a property of the graph of y = tan x? |
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A. |
The period is 2 . |
B. |
The y-intercept is 0. |
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C. |
The range is the set of real numbers. |
D. |
The x-intercepts are located at n, where n is an integer. |
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Hint |
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12. |
If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x - y)? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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13. |
Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis. |
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A. |
; 63° |
B. |
; 243° |
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C. |
; 297° |
D. |
; 117° |
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Hint |
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14. |
Find an equation of the line that bisects the acute angles formed by the lines with equations 3x + 4y = 8 and 5x + 12y = 16. |
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A. |
8x + 14y - 23 = 0 |
B. |
14x + 8y - 23 = 0 |
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C. |
14x + 8y + 23 = 0 |
D. |
8x + 14y + 23 = 0 |
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Hint |
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15. |
Set up a matrix equation for this chemistry problem. How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
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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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16. |
Solve |4 - x| < 0. |
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A. |
all real numbers |
B. |
{x|x > 4} |
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C. |
no solution |
D. |
{x|x < 4} |
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Hint |
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17. |
Given the function f(x) = , find the inverse. |
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A. |
f -1(x) = x - 4 |
B. |
f -1(x) = 1  |
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C. |
f -1(x) =  |
D. |
f -1(x) = 4  |
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Hint |
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18. |
A vector that is represented by an ordered pair can ________ be written as the sum of unit vectors. |
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A. |
sometimes |
B. |
never |
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C. |
usually |
D. |
always |
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Hint |
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19. |
Find the magnitude of the vector from the origin to point P(7, -5, 23). |
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A. |
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B. |
5 |
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C. |
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D. |
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Hint |
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20. |
Write the parametric equations for the line passing through P(3, -4) and parallel to . |
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A. |
x = 1 + 3t and y = 9 – 4t |
B. |
x = t + 3 and y = 9t - 4 |
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C. |
x = 3 + t and y = 4 – 9t |
D. |
x = 3t + 1 and y = 4t - 9 |
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Hint |
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