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1. |
State the solution of the system of equations graphed below. |
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A. |
(3, -1) |
B. |
(0, 3) |
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C. |
(-1, 3) |
D. |
(3, 1) |
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Hint |
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2. |
Solve the system of equations by using the elimination method. 
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A. |
(12, -2) |
B. |
(34, -13) |
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C. |
(2, 3) |
D. |
(4, 2) |
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Hint |
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3. |
Solve the system of inequalities by graphing. 
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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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4. |
A feasible region has vertices at (4, 6), (-2, 3), (2, -2), and (3, 1). At which point is the maximum value of the function f(x, y) = 2x + y? |
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A. |
f(3, 1) |
B. |
f(-2, 3) |
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C. |
f(2, -2) |
D. |
f(4, 6) |
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Hint |
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5. |
Which coordinates are not of the vertices of the feasible region for the system of inequalities? 
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A. |
(5, 4) |
B. |
(2, 4) |
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C. |
(0, 6) |
D. |
(5, 1) |
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Hint |
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6. |
Solve the system of equations. 
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A. |
(1, 1, 2) |
B. |
no solution |
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C. |
infinite number of solutions |
D. |
(0, -2, 7) |
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Hint |
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7. |
Which of the following systems of equations is not consistent and independent? |
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A. |
2y + 4x = 3 7y + 5x = 18 |
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B. |
–y – 5x = 1 4y + 3x = 8 |
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C. |
7y + x = 9 3y + 9x = 4 |
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D. |
y + 4x = 10 6y + 24x = 60 |
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Hint |
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8. |
Solve the system of equations 3x – 5y = 4
–2x + 4y = 3. |
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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. |
Find the coordinates of the vertices of the figure formed by  |
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A. |
(–4, 0), (3, 4), (5, 2) |
B. |
(–3, 0), (5, 4 ), (5, 2) |
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C. |
(–4, 0), (5, 4), (5, 2) |
D. |
(–3, 0), (3, 4), (5, 2) |
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Hint |
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10. |
What are the solutions to the system y + 2x – 5z = 4, –2y – 4x + 10z = 8, 3y + x – 3z = 5? |
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A. |
infinite |
B. |
no solution |
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C. |
(2, 2, 1) |
D. |
(2, 2, –2) |
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Hint |
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