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1. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
37 |
B. |
-3 |
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C. |
-35 |
D. |
5 |
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Hint |
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2. |
If j(x) = x2 + 1, find j(a + 1). |
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A. |
a2 + 2a + 1 |
B. |
a2 + a + 1 |
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C. |
a2 + a + 2 |
D. |
a2 + 2a + 2 |
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Hint |
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3. |
Find the first three iterates, x1, x2, and x3, of the function
f(x) = 3x - 1 for an initial value x0=1. |
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A. |
5, 14, 41 |
B. |
-4, -13, -40 |
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C. |
2, 5, 14 |
D. |
8, 23, 88 |
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Hint |
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4. |
Rewrite the equation 3x + y = 7 in slope-intercept form. |
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A. |
y = 3x - 7 |
B. |
y = 7x + 3 |
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C. |
y = -3x + 7 |
D. |
y = -3x - 7 |
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Hint |
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5. |
Which is the graph of  ?
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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. |
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. |
Method I |
B. |
Both Method I and Method II are correct. |
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C. |
Method II |
D. |
Neither Method I nor Method II is correct. |
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Hint |
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7. |
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, 2, 1) |
B. |
(1, 1, 2) |
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C. |
(2, 2, 1) |
D. |
(2, 1, 2) |
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Hint |
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8. |
If you solve the following system of equations by substitution, which statement is true?
x = z
x - 2y + z = 6
2x + y - 2z = 1
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A. |
Both methods will work. |
B. |
You can substitute z for x into the second and third equations. |
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C. |
You can substitute x for z into the second and third equations. |
D. |
Neither method will work. |
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Hint |
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9. |
Find the image of  after Rot90 · Ry-axis if the vertices are
A(2, -3), B(6, -3), and C(2, 5). |
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A. |
A'(-3, 2), B'(-3, 6),
C'(5, 2) |
B. |
A'(3, -2), B'(3, -6),
C'(-5, -2) |
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C. |
A'(-3, -2), B'(-3, -6),
C'(-5, -2) |
D. |
A'(3, 2), B'(3, 6), C'(5, -2) |
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Hint |
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10. |
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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11. |
Find the zero of f(x) = 2x - 3, then graph the 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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12. |
Write an equation of the line that passes through the points (-2, 4) and (6, -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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13. |
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. What type of function best represents this situation? |
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A. |
step function |
B. |
piecewise function |
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C. |
greatest integer function |
D. |
absolute value function |
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Hint |
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14. |
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. |
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B. |
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C. |
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D. |
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Hint |
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15. |
Which is the graph of the inequality 2x + y + 3 >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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16. |
The maximum cost of Ana's long-distance plan is $5.00 each month plus $0.10 per minute.Name a combination of minutes and cost that fit this inequality. |
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A. |
(15,10) |
B. |
(6,10) |
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C. |
(10,15) |
D. |
(10, 6) |
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Hint |
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17. |
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A. |
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B. |
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C. |
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D. |
impossible |
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Hint |
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18. |
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(-5,2), B(-7, 7), C(-5, 9), D(-3, 7) |
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B. |
A(3,0), B(-1,5), C(3,7), D(5,5) |
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C. |
A(3,-6), B(1,-1), C(3,1), D(5,-1) |
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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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19. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y  x - 4
x  0
y 0 |
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A. |
unbounded |
B. |
infeasible |
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C. |
2 |
D. |
alternate optimal solutions |
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Hint |
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20. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y -3x + 1
y x - 4
x 0
y 0 |
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A. |
unbounded |
B. |
infeasible |
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C. |
2 |
D. |
alternate optimal solutions |
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Hint |
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