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1. |
Use substitution to solve the system of equations given below.
 |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
(-5, 5) |
D. |
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Hint |
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2. |
Use substitution to solve the system of equations.
5x + 5y = -30
2x - y = 15 |
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A. |
infinitely many solutions |
B. |
(21, 27) |
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C. |
(3, -9) |
D. |
no solution |
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Hint |
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3. |
Use elimination to solve the system of equations given below.
3x - 2y = 4
2x + y = -2 |
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A. |
(0, -2) |
B. |
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C. |
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D. |
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Hint |
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4. |
Determine which point is a solution to the system of inequalities by graphing.
y > -2x + 6
2x + y -3 |
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A. |
no solution |
B. |
(-7, 3) |
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C. |
(8, 0) |
D. |
(0, 0) |
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Hint |
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5. |
Write the slope-intercept form of an equation for the line that passes through (-8, -1) and is parallel to 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. |
Line segment  has endpoints A(-6, -3) and B(2, 1). Line segment  has endpoints C(-4, 8) and D(3, -6). Is perpendicular to ? Why? |
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A. |
No, the lines intersect but not at right angles. |
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B. |
Yes, the slopes are negative reciprocals. |
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C. |
Yes, the slopes are opposites. |
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D. |
No, the lines are parallel. |
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Hint |
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7. |
Solve the system –2x – 4y = 7, 3x + 5y = 9. |
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A. |
(71, –39) |
B. |
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C. |
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D. |
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Hint |
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8. |
Two sides of an angle are contained in lines whose equations are 6x + 4y = 15 and 7x – 9y = 3. Find the coordinates of the vertex of the angle. Round to the nearest hundredth. |
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A. |
(147, 87) |
B. |
(1.79, 1.06) |
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C. |
(–147, –87) |
D. |
(–1.79, 1.06) |
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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. |
(-3, -4) |
B. |
infinitely many solutions |
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C. |
(4, -6) |
D. |
no solution |
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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. |
infinitely many solutions |
B. |
(-2, -2) |
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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. |
infinitely many solutions |
B. |
no solution |
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C. |
(2, -2) |
D. |
(-2, -8) |
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Hint |
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12. |
Which point is in the solution set of  and  |
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A. |
(2, 1) |
B. |
(-1, -5) |
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C. |
(3, 4) |
D. |
(-4, 6) |
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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 Fitchburg plant in at most two transfers? |
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A. |
3 |
B. |
4 |
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C. |
5 |
D. |
2 |
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Hint |
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14. |
To which city is there exactly one way in which supplies can be transferred directly from another city? |
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A. |
Boston |
B. |
Lowell |
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C. |
Providence |
D. |
Worcester |
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Hint |
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