Mid-Chapter 6 Practice Test - Kyrene School District



Chapter 6 Practice Test

Name: ________________________________________________ Date: ___________________

1. Sketch a graph of the inequality x ≤ 5.

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2. Solve the inequality 3x – 5 > 2 – 5x.

3. Write the inequality shown in this graph.

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4. Solve the inequality 3 ≤ 1 + ½x

5. Solve the inequality -13 ≤ 2 + x < 12

6. Solve the inequality 6 < -3x ≤ 18

7. Write an inequality for the statement “x is greater than 2 but not greater than 5.”

8. Graph the solution of the inequality “x is between -3 and 4.”

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1. Use graph at the left.

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8. Use graph at the left.

9. Fun Park Rides: You have $10. A round trip bus ticket to a fun park is $1.20 and rides are $0.40 each. Write an inequality for the possible number of rides, R, you can afford.

10. Dimes and Quarters: A pile of dimes and quarters totals $15 in value. If the number of dimes is at least 30, write an inequality describing the number of quarters, Q.

11. Solve the inequality 4 – 3x ≥ x + 3

12. Sketch a graph of the inequality 4 ≤ x.

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13. Write the inequality whose graph is shown below.

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14. Solve the inequality 2 – 1/3x > 3

15. Solve the inequality -2 < 1 + x ≤ 2

16. Solve the inequality 4 < 2(1 – 3x) < 10

17. Write an inequality for the statement “x is less than or equal to 5 and greater than or equal to 0.”

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12. Use graph at the left.

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18. Graph the solution of x < -1 or x > 3

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19. Reduced Rates: Junior tickets to an event are available to teenagers below the age of eighteen at reduced rates. Write an inequality describing the age requirement for a person of age A who can buy a junior ticket.

20. Geometry: Write a compound inequality that gives the possible lengths, x, of the side of the triangle.

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21. Solve the inequality | x – 3 | ≤ 4.

22. Sketch the graph of the inequality |2x - 1| < 3

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23. Is the ordered pair (-3, 7) a solution of the inequality

5x – 4y < 20?

18. Use graph at the left.

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22. Use graph at the left.

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24. Sketch a graph of the inequality 3x – 2y ≤ 6.

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25. TVs and DVD Players: A wholesaler has $100,000 to spend on certain models of TV sets and DVD Players. If the TV set may be obtained at $415 each and the DVD Players at $175 each, write an inequality that restricts the purchase of x TVs and y DVD Players.

26. |x + 1| > 2 is equivalent to which of the following?

a. -3 < x < 1 b. x > 1 and x < -3

27. Write an inequality to fit the graph.

28. Industrial Production: Use the bar graph to list the months in which the industrial production was greater than $106 billion but not greater than $107 billion. Write an inequality for the problem and list the months.

24. Use graph at the left.

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