2.5.1 Linear and quadratic inequalities Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. Solve the linear inequality 3x minus 5 > 10.

   • x < 5
   • x > 15
   • x > 5
   • x >= 5

2. Solve the inequality minus 2x <= 8.

   • x >= 4
   • x <= 4
   • x >= -4
   • x <= -4

3. Find the range of values for x squared < 9.

   • x > 3
   • x < -3 or x > 3
   • x < 3
   • -3 < x < 3

4. Solve the quadratic inequality x squared minus 9 > 0.

   • x > 3
   • -3 < x < 3
   • x < -3 or x > 3
   • x < 3

5. What is the critical value for solving the inequality (x minus 2)(x plus 4) <= 0?

   • -2 and -4
   • 2 and 4
   • 2 and -4
   • -2 and 4

6. Solve the inequality x squared plus 5x plus 6 <= 0.

   • -2 <= x <= 3
   • x <= -3 or x >= -2
   • -3 <= x <= -2
   • x <= -6

7. Represent x is strictly greater than 2 on a number line using inequality notation.

   • x < 2
   • x <= 2
   • x >= 2
   • x > 2

8. Find the integer solutions for 2x minus 1 < 5.

   • 2, 3
   • 1, 2
   • 0, 1, 2
   • 1, 2, 3

9. What is the solution set for x squared <= 16?

   • -4 <= x <= 4
   • x <= 4
   • x < -4 or x > 4
   • x >= -4

10. Solve 5 minus x > 2.

    • x < 7
    • x < 3
    • x > 3
    • x > 7

11. Find the range of x for which x squared minus 4x > 0.

    • 0 < x < 4
    • x < 0 or x > 4
    • x < -4
    • x > 4

12. What are the critical points of 2x squared minus 8 <= 0?

    • -4 and 4
    • -8 and 8
    • -2 and 2
    • -sqrt(2) and sqrt(2)

13. Solve the compound inequality 3 <= 2x plus 1 < 9.

    • 1 <= x < 4
    • 1 < x <= 4
    • 2 <= x < 8
    • 3 <= x < 9

14. Find the solution to x squared plus x minus 6 > 0.

    • x > 2
    • -3 < x < 2
    • x < -2
    • x < -3 or x > 2

15. Which inequality represents all real numbers except zero?

    • x squared >= 0
    • x squared > 0
    • x > 0
    • x squared < 0

16. Solve the inequality 4x plus 3 >= 2x plus 9.

    • x >= 6
    • x >= 3
    • x <= 3
    • x <= 6

17. What is the solution to x squared plus 2x plus 1 <= 0?

    • x <= -1
    • all real numbers
    • x = -1
    • no solution

18. Find the integer solutions for x squared minus 5x plus 6 <= 0.

    • 2, 3, 4
    • no solutions
    • 1, 2, 3
    • 2, 3

19. Solve the inequality minus 3x plus 4 < 10.

    • x < -2
    • x < 2
    • x > -2
    • x > 2

20. What is the solution region for (x minus 1) squared < 4?

    • -3 < x < 1
    • -1 < x < 3
    • x < -1 or x > 3
    • 1 < x < 5

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