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1. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
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A. |
3x2 + 6x - 1 |
B. |
3x2 - 2x - 3 |
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C. |
 |
D. |
 |
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Hint |
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2. |
Solve the system of equations x = 4 and 3x - 4y = 12 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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3. |
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. |
Subtract the second and third equation to eliminate the z variable. |
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C. |
Add the first and second equations to eliminate the z variable. |
D. |
Both methods will work. |
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Hint |
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4. |
Solve the system of equations by substitution.
x = z x - 2y + z = 6 2x + y - 2z = 1
What is the value of x + y + z? |
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A. |
11 |
B. |
9 |
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C. |
8 |
D. |
10 |
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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) = 40x - 60y |
B. |
P(x, y) = 60x - 40y |
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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 the number of possible solutions for , given a = 7, b = 3, and A = 115°. |
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A. |
three |
B. |
one |
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C. |
two |
D. |
none |
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Hint |
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7. |
Write the ordered pair that represents the vector from X(-4, 7) to Y(3, -4). |
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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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8. |
Write an equation in slope-intercept form of the line whose parametric equations are x = -6 + 3t and y = 5 - 4t. |
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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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9. |
Suppose a football player kicks a football with an initial velocity of 22 yards per second at an angle of 63° to the horizontal. Suppose a kick returner catches the ball 3.6 seconds later. What is the vertical height of the ball at that time? |
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A. |
about 3.9 feet |
B. |
about 2.6 feet |
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C. |
about 5.4 feet |
D. |
about 4.3 feet |
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Hint |
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10. |
Solve the equation x3 - 27 = 0. |
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A. |
3, ,  |
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B. |
3, ,  |
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C. |
3, ,  |
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D. |
3, ,  |
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Hint |
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11. |
For the graph of y = bx, the domain is _____. |
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A. |
all real numbers |
B. |
all real numbers  |
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C. |
all real numbers > 0 |
D. |
all real numbers  |
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Hint |
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12. |
A twig bobs up and down in the water. It moves from its highest point down to its lowest point and back every 12 seconds. The distance between its highest and lowest points is 3.2 centimeters. Write a sine function that models the movement of the twig in relation to the equilibrium point. |
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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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13. |
The Consumer Price Index between 1950 and 1996 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2040. |
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A. |
992.7 |
B. |
1093.8 |
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C. |
534.3 |
D. |
1015.6 |
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Hint |
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14. |
Find . |
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A. |
0 |
B. |
7 |
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C. |
does not exist |
D. |
5 |
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Hint |
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15. |
Francis guesses at all 6 true/false questions in a trivia game. What is the probability that he guesses correctly on at least 5 of the questions? |
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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. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
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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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17. |
If both the initial and terminal points of a vector are at the origin, the vector is __________. |
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A. |
negative |
B. |
positive |
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C. |
the zero vector |
D. |
linearly independent |
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Hint |
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18. |
Find the magnitude of the resultant vector that is the sum of the two vectors shown. |
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A. |
59 |
B. |
80.1 |
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C. |
165.2 |
D. |
124 |
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Hint |
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19. |
If a quarterback throws a 30-yard pass to his receiver with an initial velocity of 21 yards per second at an angle of 15 with the horizontal, how long is the ball in the air? |
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A. |
1.48 s |
B. |
1.43 s |
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C. |
5.52 s |
D. |
0.68 s |
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Hint |
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20. |
How many five-letter patterns can be formed from the letters of the word seven if v must always be the last letter? |
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A. |
8 |
B. |
16 |
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C. |
12 |
D. |
10 |
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Hint |
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