Chapter 6 Practice Test
Name: ________________________________________________ Date: ___________________
1. Sketch a graph of the inequality x ≤ 5.
1. Use graph at the left.
2. Solve the inequality 3x – 5 > 2 – 5x.
2. ___________________
3. Write the inequality shown in this graph.
4. Solve the inequality 3 ≤ 1 + ½x
3. ___________________
4. ___________________
5. Solve the inequality -13 ≤ 2 + x < 12
5. ___________________
6. Solve the inequality 6 < -3x ≤ 18
6. ___________________
7. Write an inequality for the statement “x is greater than 2 but
not greater than 5.”
7. ___________________
8. Graph the solution of the inequality “x is between -3 and 4.”
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.
9. ___________________
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.
10. __________________
11. Solve the inequality 4 – 3x ≥ x + 3
11. __________________
12. Sketch a graph of the inequality 4 ≤ x.
12. Use graph at the left.
13. Write the inequality whose graph is shown below.
13. __________________
14. Solve the inequality 2 – 1/3x > 3
14. __________________
15. Solve the inequality -2 < 1 + x ≤ 2
15. __________________
16. Solve the inequality 4 < 2(1 – 3x) < 10
16. __________________
17. Write an inequality for the statement “x is less than or equal
to 5 and greater than or equal to 0.”
17. __________________
18. Graph the solution of x < -1 or x > 3
18. Use graph at the left.
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.
19. __________________
20. Geometry: Write a compound inequality that gives the
possible lengths, x, of the side of the triangle.
20. __________________
21. Solve the inequality | x – 3 | ≤ 4.
21. __________________
22. Sketch the graph of the inequality |2x - 1| < 3
22. Use graph at the left.
23. Is the ordered pair (-3, 7) a solution of the inequality
5x – 4y < 20?
23. __________________
24. Sketch a graph of the inequality 3x – 2y ≤ 6.
24. Use graph at the left.
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.
25. __________________
26. |x + 1| > 2 is equivalent to which of the following?
a. -3 < x < 1
b. x > 1 and x < -3
26. __________________
27. Write an inequality to fit the
graph.
27. __________________
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.
28. __________________
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