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1. |
If j(x) = x2 + 1, find j(a + 1). |
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A. |
a2 + a + 2 |
B. |
a2 + a + 1 |
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C. |
a2 + 2a + 1 |
D. |
a2 + 2a + 2 |
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Hint |
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2. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
 |
B. |
2 |
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C. |
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D. |
-2 |
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Hint |
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3. |
If you use the substitution method to solve the system of equations
3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
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A. |
Both Method I and Method II are correct. |
B. |
Neither Method I nor Method II is correct. |
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C. |
Method II |
D. |
Method I |
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Hint |
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4. |
Solve the system of equations by elimination.
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
(1, 1, 2) |
B. |
(1, 2, 1) |
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C. |
(2, 2, 1) |
D. |
(2, 1, 2) |
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Hint |
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5. |
Sketch the graph of the function f(x) = |x2 - 6|. |
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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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6. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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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. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
B. |
Yes, because the function is defined at x = 2. |
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C. |
None of these are correct. |
D. |
Yes, because the function approaches the same y-value 8 on the left and right sides
of x = 2. |
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Hint |
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8. |
Ten years ago, Mary invested $2500. Four years later, she invested $3000. Set up an equation that determines the current value of the two investments T(x) if each earns 10% annual interest per year. |
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A. |
T(x) = 3000(1.0)10 +
2500(1.1)4 |
B. |
T(x) = 2500(1.1)10 +
3000(1.1)6 |
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C. |
T(x) = 2500(1.1)10 +
3000(1.1)4 |
D. |
T(x) = 3000(1.0)10 +
2500(1.1)6 |
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Hint |
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9. |
Solve   4. |
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A. |
x 0 |
B. |
x  8 |
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C. |
0 x 8 |
D. |
none of these |
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Hint |
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10. |
Solve the equation  = y. |
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A. |
-3 |
B. |
3, 9 |
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C. |
None is correct. |
D. |
3 |
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Hint |
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11. |
How many direction changes are there in the graph of a linear equation? |
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A. |
0 |
B. |
1 |
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C. |
3 |
D. |
2 |
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Hint |
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12. |
Solve the equation cos x =  . |
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A. |
x equals 150°, 210° or any angle
coterminal with these angles. |
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B. |
x equals 30°, 330° or any angle
coterminal with these angles. |
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C. |
x equals 120°, 240° or any angle
coterminal with these angles. |
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D. |
x equals 60°, 300° or any angle
coterminal with these angles. |
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Hint |
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13. |
In  given A = 100°, b = 7 and c = 6, find a. |
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A. |
about 10.0 |
B. |
about 7.5 |
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C. |
about 6.3 |
D. |
about 8.4 |
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Hint |
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14. |
State the amplitude, period, phase shift, and vertical shift for
 |
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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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15. |
Express  as a trigonometric function of an angle in Quadrant I. |
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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. |
Find a numerical value of one trigonometric function of x if  |
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A. |
cot x = 1 |
B. |
sin x = 1 |
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C. |
tan x = 1 |
D. |
cos x = 1 |
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Hint |
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17. |
Solve the system of inequalities by graphing.
x + y 4
2x - y < 4
y 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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18. |
Describe the end behavior of this function:
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A. |
y  -2 as x  , y -2 as x  |
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B. |
y as x , y as x |
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C. |
y 0 as x , y 0 as x |
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D. |
y 3 as x , y 3 as x |
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Hint |
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19. |
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 19 and the normal makes an angle of 150° with the positive x-axis. |
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A. |
 x - y + 38 = 0 |
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B. |
x + y - 38 = 0 |
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C. |
x - y + 19 = 0 |
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D. |
x + y - 19 = 0 |
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Hint |
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20. |
Find the distance from the origin to the graph of 2x + y = 15. |
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A. |
 |
B. |
undefined (cannot divide by zero) |
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C. |
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D. |
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Hint |
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