Algebra Quiz

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module_2_alebra_quiz.docx

Module 2 Check Your Understanding

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Question

1.

Solve and graph. –3x > 3

a. http://student.allied.edu/uploadedfiles/Images/4423f854-ac42-48a5-aa62-528087fa0e47.JPG 

b. http://student.allied.edu/uploadedfiles/Images/f8b8cc90-ac43-42d1-9e90-796e6b6bb782.JPG 

c. http://student.allied.edu/uploadedfiles/Images/2ee8de16-0437-4a44-bf92-12809031f178.JPG 

d. http://student.allied.edu/uploadedfiles/Images/e8ffa3ab-f7e1-418c-b3de-0d1217ffdfaf.JPG 

2.

Solve. 

 http://student.allied.edu/uploadedfiles/Images/b8de6168-b678-4dcf-8ecc-0d60232d64d0.JPG

a. –5

b. 5

c. 2

d. No solution

3.

Solve.

http://student.allied.edu/uploadedfiles/Images/ee6886dd-dd45-4644-b4d2-7e732afc848c.JPG

a. 16

b. –16

c. 2

d. –2

4.

Graph the interval on a real number line. (–8, ∞)

a. http://student.allied.edu/uploadedfiles/Images/3a89e60f-6b61-4743-9a19-88f20ec2dcfe.JPG 

b. http://student.allied.edu/uploadedfiles/Images/92f4ce94-8dc2-49c8-9582-04b0646a0def.JPG 

c. http://student.allied.edu/uploadedfiles/Images/971cb4a1-e3ec-468c-9485-8bc55b4a4f0a.JPG 

d. http://student.allied.edu/uploadedfiles/Images/43988938-4a21-45f4-97e8-9b295ede0b30.JPG 

5.

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

a. (–∞, –13) http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif(–7, ∞)

b. (–∞, –13] http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif [–7, ∞)

c. (–13, –7)

d. [–13, –7]

6.

Solve. 6x + 6 = 2x – 10

a. –5

b. –4

c. –3

d. –2

7.

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?

a. x > 120

b. x > 130

c. x > 140

d. x > 150

8.

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

9.

Solve. http://student.allied.edu/uploadedfiles/Images/294cdec7-8404-41ba-a2f9-469dfc644254.gif

a. (-∞, -75] http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif [-15, ∞)

b. (-∞, 15] http://student.allied.edu/uploadedfiles/Images/befa473f-76cc-42de-b553-7fcce97ed712.gif [75, ∞)

c. [-75, -15]

d. [15, 75]

10.

Solve. 4(x – 2) + 6x = 12

a. http://student.allied.edu/uploadedfiles/Images/b8f4b9cc-351a-446c-88f1-d132131e3410.gif 

b. http://student.allied.edu/uploadedfiles/Images/e064d92e-8582-4f4d-9525-3c0db036c53a.gif 

c. 1

d. 2

11.

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

a. 11

b. -http://student.allied.edu/uploadedfiles/Images/d6739418-b9fe-4f9d-9068-11321afd312b.gif

c. 11, -http://student.allied.edu/uploadedfiles/Images/d6739418-b9fe-4f9d-9068-11321afd312b.gif

d. 11, http://student.allied.edu/uploadedfiles/Images/d6739418-b9fe-4f9d-9068-11321afd312b.gif

12.

Write as a single interval, if possible. (–2, 4] http://student.allied.edu/uploadedfiles/Images/e2f41ef9-461f-4aa6-a2e6-7ef75c5ae47a.gif [0, 5)

a. (–2, 5)

b. [0, 4]

c. (–2, 4]

d. [0, 5)

13.

Solve for x.

http://student.allied.edu/uploadedfiles/Images/89606267-dac5-4373-9732-4b7b593930ac.JPG

a. http://student.allied.edu/uploadedfiles/Images/3cbf5cb3-aea3-4b40-8665-e46bd2b1464a.JPG 

b. http://student.allied.edu/uploadedfiles/Images/b3b4577a-489a-48db-bb9f-1fbee9fb8819.JPG 

c. http://student.allied.edu/uploadedfiles/Images/7ff7b7fd-746d-4cb9-9ffb-a3261f36b293.JPG 

d. http://student.allied.edu/uploadedfiles/Images/327522c0-dc2a-4a26-8118-00eebeea2c22.JPG 

14.

Solve and graph. 3x + 6 > x + 8

a. http://student.allied.edu/uploadedfiles/Images/67bf95cd-cfa9-4d25-97b6-12e51873a728.JPG 

b. http://student.allied.edu/uploadedfiles/Images/a6fd23c1-f607-46b0-b221-5bc237b93432.JPG 

c. http://student.allied.edu/uploadedfiles/Images/5abcfa7f-eea5-4548-a156-94927b866f98.JPG 

d. http://student.allied.edu/uploadedfiles/Images/88426caa-cde6-462d-a909-27e06904c5b5.JPG 

15.

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

16.

Solve. 20 + 10(x – 7) = 5(x + 4) + 5x

a. http://student.allied.edu/uploadedfiles/Images/12f6ac99-a56c-4781-9931-bde213bb3f38.gif 

b. http://student.allied.edu/uploadedfiles/Images/118d3742-6367-436a-83be-253fd5efb358.gif 

c. -http://student.allied.edu/uploadedfiles/Images/118d3742-6367-436a-83be-253fd5efb358.gif

d. No solution

17.

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

18.

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

a. –11

b. 5

c. 11

d. -9

19.

Solve. |x – 2| = 7

a. 9, 5

b. 9, –5

c. –9, –5

d. –9, 5

20.

Solve. |2x + 7| = 5

a. –1, –6

b. –1, 6

c. 1, –6

d. 1, 6

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