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1. |
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0. |
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A. |
3x - 2y + 14 = 0 |
B. |
2x> + 3y - 14 = 0 |
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C. |
2x + 3y + 14 = 0 |
D. |
3x - 2y - 14 = 0 |
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Hint |
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2. |
The cost of producing an item is $5 per item plus an initial cost of $2000. The selling price is $10 per item. Find the break-even point. |
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A. |
4000 items |
B. |
450 items |
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C. |
400 items |
D. |
4500 items |
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Hint |
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3. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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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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4. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
B. |
A'(-2, -1), B'(-3, -5), C'(-6, -2) |
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C. |
A'(1, -2), B'(5, -3), C'(2, -6) |
D. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
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Hint |
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5. |
Determine the symmetry of g(x) = . |
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A. |
symmetric with respect to the origin |
B. |
not symmetric |
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C. |
symmetric with respect to only the x-axis |
D. |
symmetric with respect to only the y-axis |
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Hint |
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6. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
both the x-axis and the y-axis |
B. |
the x-axis |
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C. |
neither the x-axis nor the y-axis |
D. |
the y-axis |
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Hint |
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7. |
The graph of y = -x2 + 1 is symmetric about __________. |
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A. |
neither the x-axis nor the y-axis |
B. |
both the x-axis and the y-axis |
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C. |
the y-axis |
D. |
the x-axis |
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Hint |
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8. |
Which is an even function? |
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A. |
y = 2x - 1 |
B. |
y = x |
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C. |
y = x2 |
D. |
y = -x |
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Hint |
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9. |
Which point is one of an infinite number of solutions for the inequality y > (x + 2)2 - 4? |
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A. |
(1, 5) |
B. |
(2, 12) |
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C. |
(3, 4) |
D. |
(-1, 5) |
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Hint |
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10. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | -8 < x < 10} |
B. |
{x | 5 < x < 10} |
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C. |
{x | -10 < x < 12} |
D. |
{x | -4 < x < 3} |
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Hint |
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11. |
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 = 0.05(0.3G - 350) |
B. |
I = 0.95(0.7G - 350) |
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C. |
I = 0.05(0.7G - 350) |
D. |
I = 0.95(0.3G - 350) |
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Hint |
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12. |
Determine the slant asymptote for f(x) = . |
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A. |
y = 2x + 3 |
B. |
y = -2x +3 |
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C. |
y = 3x - 2 |
D. |
y = 3x + 2 |
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Hint |
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13. |
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A. |
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B. |
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C. |
impossible |
D. |
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Hint |
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14. |
A quadrilateral with vertices A(-2,-3), B(-4,2), C(-2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? |
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A. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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B. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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C. |
A(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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D. |
A(3,-6), B(1,-1), C(3,7), D(5,5) |
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Hint |
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15. |
Solve the system of inequalities by graphing. 2x + y 3 2x + y -2 y 4 x < 1 |
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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. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
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A. |
x 3000 y 5000 x + y 10,000 |
B. |
x 5000 y 3000 x + y 10,000 |
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C. |
x 3000 y 5000 x + y 10,000 |
D. |
x 3000 y 5000 x + y 10,000 |
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Hint |
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17. |
Which is an odd function? |
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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. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(1,5) |
B. |
(0,7) |
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C. |
(0,0) |
D. |
(3,7) |
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Hint |
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19. |
Solve |4 - x| < 0. |
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A. |
no solution |
B. |
all real numbers |
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C. |
{x|x > 4} |
D. |
{x|x < 4} |
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Hint |
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20. |
Determine the equation of the vertical asymptote for the function: f(x) = + 2. |
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A. |
x = 0 |
B. |
y = 0 |
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C. |
x = -2 |
D. |
x = 2 |
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Hint |
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