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1. |
Determine which matrix has a determinant. |
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A. |
[1 -4 -8] |
B. |
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C. |
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D. |
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Hint |
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2. |
Find the determinant of  |
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A. |
-21 |
B. |
-16 |
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C. |
-11 |
D. |
0 |
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Hint |
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3. |
Which equation has a graph perpendicular to the graph 3y = 2x - 9? |
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A. |
 |
B. |
y = 2x + 5 |
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C. |
3x + 2y = 7 |
D. |
2x + 3y = 4 |
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Hint |
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4. |
Use substitution to solve the system of equations given below.
 |
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A. |
(-5, 5) |
B. |
infinitely many solutions |
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C. |
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D. |
no solution |
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Hint |
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5. |
Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $5.00 and child admission is $2.50. Two hours after the carnival opened its first day, 440 tickets had been sold totaling $1900. How many adults and how many children entered the carnival during the first two hours it was open? |
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A. |
220 adults, 220 children |
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B. |
293 adults, 147 children |
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C. |
380 adults, 760 children |
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D. |
320 adults, 120 children |
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Hint |
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6. |
Use elimination to solve the system of equations given below.
3x + 4y = -12
x - y = 10 |
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A. |
(52, 42) |
B. |
(-4, -14) |
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C. |
(28, 18) |
D. |
(4, -6) |
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Hint |
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7. |
Which system of inequalities is graphed below? |
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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 the slope-intercept form of an equation for the line that passes through (-4, -26) and is parallel to  |
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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. |
Solve the system of equations given by y = 2x + 2 and  . |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
(-3, -4) |
D. |
(4, -6) |
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Hint |
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10. |
Solve the system of equations given by 5x – 2y = -6 and 15x – 6y = 6. |
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A. |
(-2, -2) |
B. |
infinitely many solutions |
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C. |
no solution |
D. |
(1, 1) |
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Hint |
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11. |
Use elimination to solve the system of equations given by 3x – 2y = 10 and 5x + 2y = 6. |
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A. |
no solution |
B. |
infinitely many solutions |
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C. |
(-2, -8) |
D. |
(2, -2) |
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Hint |
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12. |
Use graphing to solve the system of inequalities given by y < x + 1 and  |
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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. |
Using the directed graph, what is the fewest number of transfers possible to get from the Fitchburg plant to the Providence plant? |
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A. |
3 |
B. |
1 |
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C. |
0 |
D. |
2 |
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Hint |
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14. |
How many ways can supplies be transferred directly to Providence from other cities? |
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A. |
1 |
B. |
2 |
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C. |
0 |
D. |
3 |
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Hint |
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