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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 - 5 |
B. |
12x2 + 36x + 28 |
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C. |
6x2 + 5 |
D. |
12x2 - 36x + 28 |
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Hint |
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2. |
Using the equation y = 50x + 50, predict y when x = 6. |
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A. |
350 |
B. |
400 |
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C. |
300 |
D. |
250 |
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Hint |
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3. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = x - 576 |
B. |
y = 23x - 21,000 |
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C. |
y = 12x - 23,947 |
D. |
y = 2x - 25 |
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Hint |
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4. |
Which is the graph of  ?
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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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5. |
If you solve the following system of equations by elimination, which of the following is the best choice for the first step?
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
Neither method will work. |
B. |
Both methods will work. |
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C. |
Add the first and second equations to eliminate the z variable. |
D. |
Subtract the second and third equation to eliminate the z variable. |
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Hint |
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6. |
Which of the following shows the system of equations using a matrix equation? |
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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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7. |
Use the function P(x, y) = 40x + 60y to determine how many of each item should be produced in order to maximize profit. |
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A. |
(100, 800) |
B. |
(300, 500) |
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C. |
(500, 400) |
D. |
(100, 400) |
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Hint |
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8. |
If you use the parent graph f(x) = x2, describe how you would graph
g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph right 4 units and down 2 units. |
B. |
Move the parent graph left 4 units and up 2 units. |
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C. |
Move the parent graph left 4 units and down 2 units. |
D. |
Move the parent graph right 4 units and up 2 units. |
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Hint |
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9. |
Determine the asymptotes for the graph of f(x) =  . |
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A. |
none of these |
B. |
a horizontal asymptote at
x = 3 and a vertical asymptote at y = 2 |
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C. |
a vertical asymptote at x = 3 and a horizontal 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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10. |
Solve  > 0. |
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A. |
-2 < x < 0 or x < 1 |
B. |
-1 < x < 0 or x > 1 |
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C. |
-1 < x < 0 or x > 2 |
D. |
-2 < x < 0 or x > 2 |
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Hint |
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11. |
Solve  . |
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A. |
5, 1 |
B. |
5 |
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C. |
5, 2 |
D. |
2 |
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Hint |
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12. |
Which is an example of a cofunction relationship? |
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A. |
sin 30° = cos 60° |
B. |
sin 30° = tan 60° |
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C. |
sin 30° = sin 60° |
D. |
sin 30° = cot 60° |
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Hint |
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13. |
Use the unit circle to find sec (-180°). |
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A. |
undefined |
B. |
1 |
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C. |
0 |
D. |
-1 |
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Hint |
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14. |
Change  radians to degree measure. |
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A. |
135° |
B. |
-135° |
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C. |
-145° |
D. |
145° |
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Hint |
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15. |
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth. |
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A. |
2,827.4 radians/s |
B. |
47.1 radians/s |
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C. |
282.7 radians/s |
D. |
23.6 radians/s |
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Hint |
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16. |
State the amplitude for the function y = - cos . |
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A. |
- |
B. |
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C. |
- |
D. |
1 |
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Hint |
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17. |
State the domain and range of the relation. |
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A. |
The domain includes all real numbers. The range includes all positive real numbers. |
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B. |
The domain and the range include all real numbers. |
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C. |
The domain includes just positive real numbers. The range includes all real numbers. |
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D. |
The domain includes negative real numbers. The range includes all real numbers. |
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Hint |
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18. |
Which of the following describes the system of equations x - 3y + 2 = 0 and
2x - 6y + 4 = 0? |
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A. |
Consistent and dependent |
B. |
Inconsistent |
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C. |
none of these |
D. |
Consistent and independent |
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Hint |
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19. |
Choose the best method to solve the system of equations 4x + y = 6
and 2x - y = 10. |
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A. |
Substitution |
B. |
Graphing |
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C. |
Eliminate x |
D. |
Eliminate y |
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Hint |
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20. |
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 to the left, then 4 units down. |
B. |
Move 3 units up, then move 4 units to the left. |
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C. |
Move 3 units down, then move 4 units to the right. |
D. |
Move 3 units to the right, then 4 units down. |
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Hint |
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