Inequalities Quiz

1. What does the inequality symbol > mean?

1. Greater than
2. Greater than or equal to
3. Less than
4. Less than or equal to

2. Solve: x + 3 > 7

1. x < 4
2. x > 10
3. x > 4
4. x ≥ 4

3. Solve: 2x − 5 ≤ 9

1. x ≤ 14
2. x ≤ 2
3. x ≤ 5
4. x ≤ 7

4. What happens to the inequality sign when you multiply or divide both sides by a negative number?

1. Nothing changes
2. The sign becomes =
3. The sign becomes ≠
4. The sign reverses (flips)

5. Solve: −3x > 12

1. x < −4
2. x < 4
3. x > −4
4. x > 4

6. On a number line, how is x ≥ 3 represented?

1. Closed circle at 3, arrow going left
2. Closed circle at 3, arrow going right
3. Open circle at 3, arrow going left
4. Open circle at 3, arrow going right

7. Which integer values satisfy −2 < x ≤ 3?

1. −1, 0, 1, 2, 3
2. −2, −1, 0, 1, 2
3. −2, −1, 0, 1, 2, 3
4. 0, 1, 2, 3

8. Solve: 3x + 1 > x + 9

1. x > 3
2. x > 4
3. x > 5
4. x > 8

9. What does the notation {x : x > 5} mean?

1. 5 is greater than x
2. The set of all x such that x is greater than 5
3. x divided by x equals 5
4. x times x is greater than 5

10. Solve the double inequality: 1 ≤ 3x − 2 < 13

1. 0 ≤ x < 5
2. 1 < x ≤ 5
3. 1 ≤ x < 5
4. 1 ≤ x ≤ 5

11. Which of these is NOT a solution to 2x + 3 > 11?

1. x = 10
2. x = 100
3. x = 4
4. x = 5

12. Solve: 5 − 2x ≥ 1

1. x ≤ −2
2. x ≤ 2
3. x ≥ −2
4. x ≥ 2

13. Find all integers n such that n² < 25.

1. n = −4, −3, −2, −1, 0, 1, 2, 3, 4
2. n = −5, −4, ..., 4, 5
3. n = 0, 1, 2, 3, 4
4. n = 1, 2, 3, 4

14. Solve: x/4 − 1 > 2

1. x > 12
2. x > 16
3. x > 4
4. x > 8

15. In the region y > 2x + 1 on a coordinate graph, how is the boundary line y = 2x + 1 drawn?

1. Dashed line, shade above
2. Dashed line, shade below
3. Solid line, shade above
4. Solid line, shade below

16. Solve: 4(x − 1) ≤ 2x + 6

1. x ≤ 10
2. x ≤ 3
3. x ≤ 4
4. x ≤ 5

17. A taxi charges £3 plus £2 per km. Jane has £15. What is the maximum distance she can travel?

1. 5 km
2. 6 km
3. 7 km
4. 8 km

18. Which inequality represents 'x is at least 5'?

1. x < 5
2. x > 5
3. x ≤ 5
4. x ≥ 5

19. The inequality −1 ≤ x < 4 is shown on a number line. What is the length of this interval?

1. 3
2. 4
3. 5
4. 6

20. Solve: 3 < 2x + 1 ≤ 9

1. 1 < x < 4
2. 1 < x ≤ 4
3. 1 ≤ x ≤ 4
4. 2 < x ≤ 4