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1. |
Graph the system of equations to determine whether it has no solution, many solutions, or one solution. If the system has one solution, name it.
3x - 2y = -1
2x + y = 4 |
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A. |
infinitely many solutions |
B. |
no solution |
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C. |
one solution at (1, 2) |
D. |
one solution at (2, 1) |
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Hint |
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2. |
Use substitution to solve the system of equations given below.
8x - 4y = 16
2x - y = 4 |
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A. |
infinitely many solutions |
B. |
(0, -4) |
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C. |
no solution |
D. |
(2, 0) |
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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. |
no solution |
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C. |
infinitely many solutions |
D. |
(3, -9) |
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Hint |
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4. |
Use elimination to solve the system given below.
4x + 3y = -20
x + 3y = 4 |
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A. |
 |
B. |
 |
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C. |
(-8, 4) |
D. |
 |
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Hint |
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5. |
Use elimination to solve the system given below.
5x - 2y = 25
5x + 3y = 5 |
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A. |
(3, -5) |
B. |
(4, -5) |
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C. |
(13, 20) |
D. |
 |
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Hint |
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6. |
Use elimination to solve the system of equations given below.
3x - 2y = 4
2x + y = -2 |
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A. |
 |
B. |
(0, -2) |
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C. |
 |
D. |
 |
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Hint |
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7. |
Which system of inequalities is graphed below? |
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 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
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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9. |
A boat travels 30 miles upstream in 4 hours. The trip downstream takes 2.5 hours. Find the rate of the boat in still water. |
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A. |
2.25 mph |
B. |
9.23 mph |
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C. |
6.92 mph |
D. |
9.75 mph |
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Hint |
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10. |
Which point is in the solution set of  and y > -2x – 1. |
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A. |
(-2, 8) |
B. |
(-6, 5) |
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C. |
(0, 3) |
D. |
(-2.8, 4.6) |
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Hint |
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