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1. |
Solve the inequality  |
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{x|x > 1} |
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2. |
What is the solution to the sentence ''A number decreased by -5 is at least 7''? |
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B. |
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C. |
{x | x < 2} |
D. |
{x | x > 2} |
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3. |
Solve -4y < -7. |
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4. |
The opposite of two thirds of a number x is at least 18. What are the possible values of x? |
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{x | x > -27} |
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5. |
Solve   |
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{x | x < -12} |
B. |
{x | x < 6} |
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C. |
{x | x > -12} |
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6. |
Which graph show the solution set of the compound inequality
4x - 7 < 2x and 3x + 5 > -1? |
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7. |
Which graph shows the solution set of the compound inequality
4(3x - 5) > 4(2x - 7) or 5x - 10 < 7x. |
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8. |
Which inequality's solution set is graphed below? |
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A. |
-3 < x < 4 |
B. |
x < -3 or x > 4 |
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C. |
-3 < x < 4 |
D. |
x < -3 or x > 4 |
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Hint |
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9. |
Choose the inequality whose solution set is graphed below. |
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A. |
x > -3 or x < 2 |
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x < -3 and x > 0 |
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C. |
-5 < x < 5 |
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Hint |
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10. |
Which graph is the graph of the solution set of |6x - 4| > 14? |
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11. |
Cheryl wants to live in a certain town because it is about 10 miles from her new job. If she is unable to find an apartment there, she is willing to settle for a location that is within 3 miles of this town. Which inequality expresses these statements if d is the distance from her home to her job? |
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A. |
|d - 10| < 3 |
B. |
|d - 3| > 10 |
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C. |
|d - 3| < 10 |
D. |
|d - 10| < 3 |
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Hint |
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12. |
Which ordered pair is not a part of the solution set for 4y - 2x < 8? |
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A. |
(2, 1) |
B. |
(3, 2) |
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C. |
(-4, -4) |
D. |
(-3, 5) |
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Hint |
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13. |
Which is the graph of the inequality y - x < 6? |
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14. |
Which ordered pair is the solution to the given system of equations?
x - 3y = 9
x - 2y = 5 |
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A. |
(9, -3) |
B. |
(-3, -4) |
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C. |
(3, -2) |
D. |
(-6, 1) |
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Hint |
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15. |
Use substitution to solve the system of equations given below.
y = 2x
5x - y = -24 |
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A. |
no solution |
B. |
(-4, -8) |
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C. |
(-8, -16) |
D. |
infinitely many solutions |
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Hint |
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16. |
The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers. |
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(10, 26) |
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(14, 22) |
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C. |
(42, 6) |
D. |
(30, 6) |
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Hint |
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17. |
Use elimination to solve the system of equations given below.
x + 3y = 6
2x - 6y = 8 |
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18. |
The sum of two numbers is –11. Twice the first number minus four times the second number is –10. What are the two numbers? |
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A. |
-9, -2 |
B. |
-6, -5 |
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C. |
-8, -3 |
D. |
-15, 4 |
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19. |
Which graph is the graph of the system of inequalities?
y > 2x
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20. |
Determine which point is a solution to the system of inequalities by graphing.
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(0, 7) |
B. |
(3, 2) |
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(5, 6) |
D. |
no solution |
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Hint |
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