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1. |
In a science experiment, students hung a cup from a spring and measured the length of the spring when candies were added to it. Their data are shown in the table below. Which statement is true? |
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A. |
The relation is a function because for each x value, there is exactly one y value. |
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B. |
The relation is not a function because only a line can be a function. |
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C. |
The relation is a function because the range values increase. |
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D. |
The relation is not a function because there are two y values for some x values. |
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Hint |
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2. |
Which equation has a graph that is parallel to the graph of 4x - 2y = 1? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
y = 2x - 3 |
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Hint |
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3. |
Which is not a point at which a maximum or minimum value of a function could occur for the feasible region? |
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A. |
(-3, 6) |
B. |
(-3, 0) |
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C. |
(0, 3) |
D. |
(1, 5) |
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Hint |
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4. |
A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn? |
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A. |
$3.30 |
B. |
$4.80 |
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C. |
$4.55 |
D. |
$1.80 |
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Hint |
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5. |
Find the dimensions of A6 × 3 · B3 × 1. |
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A. |
6 × 3 |
B. |
6 × 1 |
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C. |
3 × 3 |
D. |
3 × 1 |
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Hint |
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6. |
Evaluate  using diagonals. |
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A. |
37 |
B. |
107 |
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C. |
33 |
D. |
21 |
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Hint |
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7. |
Given that the inverse of the coefficient matrix is  , solve the matrix equation  . |
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A. |
(4, 3) |
B. |
(-2, 3) |
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C. |
(-4, 3) |
D. |
(2, 4) |
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Hint |
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8. |
Solve  using inverse matrices. |
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A. |
(4, 4) |
B. |
(-4, 0) |
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C. |
(4, -4) |
D. |
(-4, 4) |
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Hint |
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9. |
Evaluate p · (p + 3q) – r if p = -7, q = 4, and r = -16. |
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A. |
77 |
B. |
-51 |
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C. |
-19 |
D. |
45 |
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Hint |
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10. |
Solve the equation x – 82 = 143 |
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A. |
225 |
B. |
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C. |
-61 |
D. |
61 |
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Hint |
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11. |
Solve the equation | 3a + 2 | - 2 = 4a + 1. |
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A. |
 |
B. |
 |
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C. |
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D. |
-1 |
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Hint |
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12. |
When the equation  is written in standard form, what is the value of B? |
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A. |
-25 |
B. |
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C. |
25 |
D. |
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Hint |
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13. |
A cellular telephone company charges $0.20 per minute or fraction thereof. If Miguel, a customer of this company, talks on his cell phone for 23.27 minutes, what will his charges be for that phone call? |
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A. |
$4.60 |
B. |
$4.65 |
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C. |
$4.80 |
D. |
$4.66 |
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Hint |
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14. |
What type of function is shown in the graph? |
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A. |
step function |
B. |
constant function |
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C. |
absolute value function |
D. |
piecewise function |
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Hint |
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15. |
Which graph shows the inequality 5x – 2y  8? |
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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. |
Which is true for the following system of equations?
3x -  y = 1
x + 2y = 7. |
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A. |
cannot be determined from information given |
B. |
y < x |
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C. |
y > x |
D. |
y = x |
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Hint |
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17. |
If  and  find 4A – 5B. |
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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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18. |
State whether the product of A3 × 4 and B3 × 4 is defined, and if it is defined, state the dimensions. |
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A. |
defined, 3 × 4 |
B. |
defined, 9 × 16 |
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C. |
defined, 4 × 3 |
D. |
undefined |
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Hint |
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19. |
Determine whether the pair of matrices  are inverses. |
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A. |
no, because fractions cannot be a part of an inverse |
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B. |
yes, because each entry in the second matrix is the reciprocal of its corresponding entry in the first matrix |
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C. |
yes, because A · B = I |
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D. |
no, because A · B  I |
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Hint |
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20. |
Suppose a matrix equation of a system of equations does not have a unique solution. What cannot be true? |
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A. |
 is undefined |
B. |
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C. |
ad – bc ? 0 |
D. |
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Hint |
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