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1. |
Describe the line that is graphed below. |
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A. |
passes through the point (3,-2) with a slope of  |
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B. |
passes through the point (3,-2) with a slope of  |
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C. |
passes through the point (3,-2) with a slope of  |
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D. |
passes through the point (3,2) with a slope of  |
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Hint |
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2. |
State the number of solutions to the system of equations graphed below. |
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A. |
2 |
B. |
1 |
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C. |
infinitely many |
D. |
0 |
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Hint |
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3. |
Solve the system of equations by graphing. 

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A. |
(-1, 7) |
B. |
no solution |
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C. |
(0, 3) |
D. |
infinitely many solutions |
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Hint |
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4. |
What is the first step in solving the system of equations using the elimination method? 

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A. |
Multiply the second equation by 2. |
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B. |
Subtract the second equation from the first equation. |
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C. |
Solve the first equation for x. |
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D. |
Add the equations. |
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Hint |
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5. |
Use the substitution method to solve m - n = 7 and 3m + 2n = 6. |
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A. |
(-5, 2) |
B. |
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C. |
(4, -3) |
D. |
(-3, -10) |
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Hint |
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6. |
Choose the graph that shows the solution to the system of inequalities and  |
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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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7. |
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(-2, 3) |
B. |
f(4, 6) |
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C. |
f(3, 1) |
D. |
f(2, -2) |
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Hint |
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8. |
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5 short-answer questions worth 11 points each. It takes about 2 minutes for Josh to answer the multiple-choice questions m and about 8 minutes to complete the short-answer questions s. Which inequality is not part of the system of inequalities that represents the problem? |
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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. |
Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20. |
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A. |
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B. |
y = 2x + 8 |
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C. |
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D. |
y = -2x |
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Hint |
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10. |
Use elimination to solve the system of equations shown below. 2x - 4y = -5 3x + 4y = -15 |
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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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11. |
Which system of inequalities 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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12. |
Which equation describes the line that contains the points (6, 2) and (12, 4)? |
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A. |
y = -3x |
B. |
y = 3x |
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C. |
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D. |
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Hint |
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13. |
Which equation describes the line that contains the points (-1, -8) and (-9, -21)? |
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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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14. |
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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15. |
What is the slope of the line with equation  |
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A. |
-7 |
B. |
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C. |
7 |
D. |
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Hint |
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16. |
Use substitution to solve the system of equations given by y = 2x and 5x + y = 7. |
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A. |
(-2, -5) |
B. |
(2, 5) |
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C. |
(-1, -2) |
D. |
(1, 2) |
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Hint |
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17. |
Solve for x by the method of determinants. |
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A. |
 |
B. |
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C. |
11 |
D. |
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Hint |
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18. |
Solve by the method of determinants. |
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A. |
(2, -2, 1) |
B. |
(2, -1, -2) |
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C. |
(-1, 1, -2) |
D. |
(1, -1, 2) |
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Hint |
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