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1. |
Which equation has a graph perpendicular to the graph 3y = 2x - 9? |
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A. |
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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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2. |
Which system of equations 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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3. |
Use substitution to solve the system of equations.
5x + 5y = -30
2x - y = 15 |
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A. |
(21, 27) |
B. |
(3, -9) |
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C. |
no solution |
D. |
infinitely many solutions |
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Hint |
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4. |
Brenda and Amparo left their homes for their morning runs at the same time. Brenda can run a 10-minute mile and Amparo can run a 12-minute mile. Combined, they ran 15 miles in a total of 2 hours and 42 minutes (162 minutes). How many miles did each woman run? |
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A. |
Brenda ran 9 miles; Amparo ran 6 miles |
B. |
Brenda ran 11 miles; Amparo ran 4 miles. |
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C. |
Brenda ran 10 miles; Amparo ran 5 miles |
D. |
Brenda ran 8 miles; Amparo ran 7 miles |
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Hint |
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5. |
The sum of two numbers is –11. Twice the first number minus four times the second number is –10. What are the two numbers? |
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A. |
-15, 4 |
B. |
-9, -2 |
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C. |
-8, -3 |
D. |
-6, -5 |
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Hint |
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6. |
Which point is not a solution for the system of inequalities? |
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A. |
(2, -5) |
B. |
(3, -3) |
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C. |
(-3, 7) |
D. |
(-2, -7) |
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Hint |
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7. |
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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8. |
Find the value of the determinant of  |
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A. |
2 |
B. |
6 |
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C. |
64 |
D. |
–32 |
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Hint |
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9. |
Vince and Brian each need two kinds of items at the store. Vince bought 10 of item A and 14 of item B, and spent $97. Brian bought 8 of item A and 25 of item B, and spent $119. How much did each item cost? |
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A. |
item A = $1.14
item B = $2.10 |
B. |
item A = $2.10
item B = $1.14 |
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C. |
item A = $3
item B = $5.50 |
D. |
item A = $5.50
item B = $3 |
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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. |
(1, 1) |
B. |
no solution |
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C. |
(-2, -2) |
D. |
infinitely many solutions |
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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. |
(-2, -8) |
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C. |
infinitely many solutions |
D. |
(2, -2) |
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Hint |
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12. |
Which point is not in the solution set of  and  |
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A. |
(5, 0) |
B. |
(-1, -2) |
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C. |
(4, 11) |
D. |
(0, 0) |
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Hint |
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13. |
Using the directed graph, how many different routes are there to get from the Boston plant to the Worcester plant in exactly two transfers? |
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A. |
1 |
B. |
4 |
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C. |
2 |
D. |
3 |
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Hint |
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14. |
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. |
2 |
B. |
1 |
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C. |
0 |
D. |
3 |
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Hint |
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