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1. |
Solve the system of equations by graphing. 

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A. |
(2, -6) |
B. |
(2, 6) |
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C. |
(6, 2) |
D. |
(-6, 2) |
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Hint |
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2. |
Solve the system of equations by using substitution. 

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A. |
(5, 11) |
B. |
(4, 9) |
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C. |
(1, 3) |
D. |
(3, 7) |
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Hint |
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3. |
Solve the system of equations by using the elimination method. 

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A. |
(4, 2) |
B. |
(2, 3) |
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C. |
(12, -2) |
D. |
(34, -13) |
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Hint |
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4. |
What is the solution of the system of inequalities? 

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A. |
region 3 |
B. |
region 2 |
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C. |
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D. |
region 1 |
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Hint |
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5. |
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(4, 6) |
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C. |
f(2, -2) |
D. |
f(-2, 3) |
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Hint |
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6. |
Find the minimum value of f(x, y) = 4x - 2y for the polygonal region determined by the feasible region. |
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A. |
-28 |
B. |
14 |
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C. |
-14 |
D. |
27 |
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Hint |
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7. |
A graph of a system of three linear equations in three variables is shown below. How many solutions does the system have? |
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A. |
infinite number |
B. |
1 |
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C. |
0 |
D. |
2 |
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Hint |
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8. |
Which of the following systems of equations is inconsistent? |
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A. |
3y + 2x = 13 6y + 4x = 3 |
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B. |
y = 7x – 2 y = –2x – 5 |
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C. |
y = 2x – 3 y = –3x + 4 |
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D. |
4y – x = 12 3y – 2x = 1 |
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Hint |
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9. |
Which point is not in the solution set of  |
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A. |
(14, –3) |
B. |
(9, –1) |
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C. |
(1, –1) |
D. |
(6, 1) |
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Hint |
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10. |
What is true about a system of equations in three variables that has 1 solution? |
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A. |
planes intersect in one line |
B. |
planes intersect in one point |
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C. |
planes have no points in common |
D. |
planes intersect in the same plane |
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Hint |
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