Allied American Mat120 Module 2 Check Your Understanding

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Question Points

1. Graph the inequality on a real number line. –4 < x < 1

a.

b.

c.

d.

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2. Solve.

a. 16

b. –16

c. 2

d. –2

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3. Solve. |2x + 7| = 5

a. –1, –6

b. –1, 6

c. 1, –6

d. 1, 6

.

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4. Rewrite the interval in inequality notation. (–3, ?)

a. x > –3

b. x < –3

c. x < –3

d. x > –3

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5. Solve. 6x + 6 = 2x – 10

a. –5

b. –4

c. –3

d. –2

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6. Solve. Write the answer in interval notation. |12 – 5x| < 22

a. (?, -2) ( , ?)

b. (-?, - ) (2, ?)

c. (-2, )

d. (- , 2)

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7. Write as an absolute value inequality. x is more than 9 units from 5.

a. |x – 5| > 9

b. |x – 5| > 9

c. |x + 5| > 9

d. |x + 5| > 9

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8. Solve. 5(x + 9) + 7x = 8x + 1

a. –11

b. 5

c. 11

d. -9

.

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9. Write as a single interval, if possible. (–2, 4] [0, 5)

a. (–2, 5)

b. [0, 4]

c. (–2, 4]

d. [0, 5)

.

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10. Solve. 4(x – 2) + 6x = 12

a.

b.

c. 1

d. 2

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11. Solve.

a. (-?, -75] [-15, ?)

b. (-?, 15] [75, ?)

c. [-75, -15]

d. [15, 75]

\

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12. Solve and graph. 0.8(x + 9) > 0.5x + 6.3

a.

b.

c.

d.

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13. Solve and graph. 3x + 6 > x + 8

a.

b.

c.

d.

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14. Solve. |x + 12| = 2x + 1

a. 11

b. -

c. 11, -

d. 11,

0

15. Solve. |x – 2| = 7

a. 9, 5

b. 9, –5

c. –9, –5

d. –9, 5

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16. Solve. Write the solution in interval notation. |x + 10| > 3

a. (–?, –13) (–7, ?)

b. (–?, –13] [–7, ?)

c. (–13, –7)

d. [–13, –7]

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17. A musician is planning to market a CD. The fixed costs are $560 and the variable costs are $4 per CD. The wholesale price of the CD will be $8. For the artist to make a profit, revenues must be greater than costs. How many CDs, x, must be sold for the musician to break even?

a. x = 170

b. x = 140

c. x = 190

d. x = 200

LO2E:Write and solve a single variable linear equation or inequality to solve a real-world problem.

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18. Solve.

a. –5

b. 5

c. 2

d. No solution

LO2A:Solve single-variable linear equations.

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19. Solve and graph. –3x > 3

a.

b.

c.

d.

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20. How much pure antifreeze must be added to 12 gallons of 20% antifreeze to make a 40% antifreeze solution?

a. 2 gallons

b. 4 gallons

c. 6 gallons

d. 8 gallons

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