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Question
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1.
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Solve for x.
![http://student.allied.edu/uploadedfiles/Images/89606267-dac5-4373-9732-4b7b593930ac.JPG]()
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2.
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Graph the inequality on a real number line. –4 < x < 1
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3.
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Solve. 5(x + 9) + 7x = 8x + 1
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4.
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Solve and graph. –3x > 3
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5.
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Solve. |2x + 7| = 5
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a. –1, –6
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b. –1, 6
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c. 1, –6
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d. 1, 6
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6.
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Write as a single interval, if possible. (–2, 4] ![http://student.allied.edu/uploadedfiles/Images/e2f41ef9-461f-4aa6-a2e6-7ef75c5ae47a.gif]() [0, 5)
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a. (–2, 5)
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b. [0, 4]
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c. (–2, 4]
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d. [0, 5)
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7.
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Solve. 6x + 6 = 2x – 10
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8.
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How much pure antifreeze must be added to 12 gallons of 20% antifreeze to make a 40% antifreeze solution?
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a. 2 gallons
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b. 4 gallons
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c. 6 gallons
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d. 8 gallons
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9.
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Solve. Write the answer in interval notation. |12 – 5x| < 22
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a. (∞, -2) ![http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif]() (![http://student.allied.edu/uploadedfiles/Images/78f2a1b9-4e35-46f0-9426-7ae0fba2a584.gif]() , ∞)
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b. (-∞, -![http://student.allied.edu/uploadedfiles/Images/5a07c3f2-ebd0-48d7-9dd4-eff77a916df1.gif]() ) ![http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif]() (2, ∞)
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c. (-2, ![http://student.allied.edu/uploadedfiles/Images/fee3a636-48f6-42de-92e6-cb50aa9aa1db.gif]() )
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d. (-![http://student.allied.edu/uploadedfiles/Images/b73159a8-1a58-451b-995b-41dbabc50b64.gif]() , 2)
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10.
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Solve.
![http://student.allied.edu/uploadedfiles/Images/ee6886dd-dd45-4644-b4d2-7e732afc848c.JPG]()
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11.
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Rewrite the interval in inequality notation. (–3, ∞)
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a. x > –3
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b. x < –3
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c. x < –3
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d. x > –3
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12.
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Solve. Write the solution in interval notation. |x + 7| < 8
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a. (–∞, –15) ![http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif]() (1, ∞)
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b. (–∞, –15] ![http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif]() (1, ∞)
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c. (–15, 1)
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d. [–15, 1]
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13.
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Write as an absolute value inequality. x is more than 9 units from 5.
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a. |x – 5| > 9
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b. |x – 5| > 9
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c. |x + 5| > 9
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d. |x + 5| > 9
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14.
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Solve. |x + 12| = 2x + 1
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a. 11
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b. -![http://student.allied.edu/uploadedfiles/Images/d6739418-b9fe-4f9d-9068-11321afd312b.gif]()
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c. 11, -![http://student.allied.edu/uploadedfiles/Images/d6739418-b9fe-4f9d-9068-11321afd312b.gif]()
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d. 11, ![http://student.allied.edu/uploadedfiles/Images/d6739418-b9fe-4f9d-9068-11321afd312b.gif]()
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15.
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Graph the interval on a real number line. (–8, ∞)
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16.
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Solve.
![http://student.allied.edu/uploadedfiles/Images/b8de6168-b678-4dcf-8ecc-0d60232d64d0.JPG]()
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a. –5
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b. 5
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c. 2
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d. No solution
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17.
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Solve. 20 + 10(x – 7) = 5(x + 4) + 5x
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a. ![http://student.allied.edu/uploadedfiles/Images/12f6ac99-a56c-4781-9931-bde213bb3f38.gif]()
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b. ![http://student.allied.edu/uploadedfiles/Images/118d3742-6367-436a-83be-253fd5efb358.gif]()
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c. -![http://student.allied.edu/uploadedfiles/Images/118d3742-6367-436a-83be-253fd5efb358.gif]()
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d. No solution
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18.
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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 make a profit?
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a. x > 120
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b. x > 130
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c. x > 140
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d. x > 150
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19.
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Solve. |x – 2| = 7
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a. 9, 5
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b. 9, –5
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c. –9, –5
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d. –9, 5
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20.
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Solve and graph. 3x + 6 > x + 8
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darell7
quiz_2_algebra.docx
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