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1. |
Find the x- and y-intercepts for 3x + 4y - 12 = 0. |
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A. |
(0, 3) and (4, 0) |
B. |
(-4, 0) and (0, -3) |
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C. |
(-3, 0) and (0, -4) |
D. |
(0, 4) and (3, 0) |
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Hint |
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2. |
Which is the best prediction equation for the data? |
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A. |
y = 10x - 19,950 |
B. |
y = 25x - 19,950 |
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C. |
y = 20x - 19,950 |
D. |
y = 5x - 19,950 |
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Hint |
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3. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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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. |
Which of the following shows the system of equations using a matrix equation? |
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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. |
The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. |
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A. |
P(x, y) = 60x - 40y |
B. |
P(x, y) = 40x + 60y |
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C. |
P(x, y) = 60x + 40y |
D. |
P(x, y) = 40x - 60y |
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Hint |
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6. |
Determine whether the function f(x) = is continuous at x = 1. |
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A. |
No, because substituting x = 1 results in a denominator of 0. |
B. |
None is correct. |
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C. |
Yes, the inability to divide by 0 has no bearing on this problem. |
D. |
Yes, it is continuous at x = 1, but not at x = -1. |
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Hint |
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7. |
If y varies directly as the cube of x and y = 30 when x = 2, find x when y = 468.75. |
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A. |
9 |
B. |
3 |
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C. |
7 |
D. |
5 |
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Hint |
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8. |
Determine the asymptotes for the graph of f(x) = . |
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A. |
a vertical asymptote at x = 3 and a horizontal asymptote at y = 2 |
B. |
none of these |
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C. |
a horizontal asymptote at x = 3 and a vertical asymptote at y = 2 |
D. |
a vertical asymptote at x = -3 and a horizontal asymptote at y = 1 |
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Hint |
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9. |
If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____. |
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A. |
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B. |
1 |
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C. |
2 |
D. |
8 |
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Hint |
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10. |
Use a graphing calculator to write a polynomial function to model the set of data. |
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A. |
1.3x + 0.9 |
B. |
0.9x + 1.3 |
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C. |
0.9x - 1.3 |
D. |
1.3x - 0.9 |
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Hint |
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11. |
Use the unit circle to find sec (-180°). |
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A. |
-1 |
B. |
0 |
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C. |
undefined |
D. |
1 |
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Hint |
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12. |
Suppose is an angle in standard position whose terminal side lies in Quadrant II. If , 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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13. |
Find Cos-1 . |
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A. |
-1 |
B. |
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C. |
0 |
D. |
1 |
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Hint |
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14. |
Find the domain of f(g(x)) given f(x) = , and g(x) = x-1 |
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A. |
all real numbers |
B. |
x 1,-1 |
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C. |
x 0, 1, -1 |
D. |
x 1 |
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Hint |
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15. |
Find the x- and y-intercepts of the equation:  |
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A. |
x-intercept 2; y-intercept 5 |
B. |
x-intercept 5; y-intercept -2 |
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C. |
x-intercept –2; y intercept 5 |
D. |
x-intercept –5; y-intercept 2 |
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Hint |
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16. |
What is the value of y when x = 2? |
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A. |
1 |
B. |
2 |
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C. |
undefined |
D. |
0 |
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Hint |
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17. |
Which is the graph of the inequality y > |2x + 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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18. |
Solve this problem using matrix equations.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. |
6.66 L of the 0.25 solution and 3.33 L of the 0.40 solution. |
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B. |
2.5 L of the 0.25 solution and 7.5 L of the 0.40 solution. |
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C. |
4.5 L of the 0.25 solution and 5.5 L of the 0.40 solution. |
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D. |
3.33 L of the 0.25 solution and 6.66 L of the 0.40 solution. |
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Hint |
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19. |
If you use y = x3 as a reference graph, describe how you would graph y = (x + 3)3 - 4. |
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A. |
Move 3 units down, then move 4 units to the right. |
B. |
Move 3 units up, then move 4 units to the left. |
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C. |
Move 3 units to the left, then 4 units down. |
D. |
Move 3 units to the right, then 4 units down. |
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Hint |
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20. |
Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? |
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A. |
No, fails the vertical line test. |
B. |
Yes, passes the vertical line test. |
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C. |
Yes, fails the horizontal line test. |
D. |
No, fails the horizontal line test. |
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Hint |
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