Lesson A22

A22 Solving and representing linear and quadratic inequalities Quiz: AQA Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson A22, Solving and representing linear and quadratic inequalities: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. Solve x + 3 > 7.

    • x > 4
    • x > 10
    • x < 4
    • x < 10

  2. Solve 2x - 1 <= 9.

    • x <= 4
    • x <= 5
    • x >= 5
    • x <= 10

  3. Solve -2x > 6.

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

  4. On a number line, what does an open circle mean?

    • The value is included
    • The value is not included
    • The value is zero
    • The value is a whole number

  5. Which inequality is shown by a closed circle at 2 with the line going left?

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

  6. List the integers that satisfy -1 < x <= 3.

    • 1, 2 and 3
    • 0, 1 and 2
    • 0, 1, 2 and 3
    • -1, 0, 1, 2 and 3

  7. List the integers that satisfy 3 <= 2x <= 9.

    • 1, 2, 3 and 4
    • 2, 3 and 4.5
    • 2, 3 and 4
    • 3 and 4

  8. How is the solution to x > -1 shown on a number line?

    • A closed circle at -1 with an arrow to the left
    • An open circle at -1 with an arrow to the left
    • An open circle at -1 with an arrow to the right
    • A closed circle at -1 with an arrow to the right

  9. Solve 3x - 2 < 7.

    • x > 3
    • x < 3
    • x > 9
    • x < 9

  10. (H) Solve x^2 - 5x + 6 > 0.

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

  11. (H) Given x + y <= 4, x >= 0 and y >= 0, what is the largest possible value of x?

    • 2
    • 4
    • 8
    • 0

  12. Solve 5 - x > 2.

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

  13. Solve 3(x - 1) >= 2x + 4.

    • x >= 3
    • x >= 1
    • x <= 7
    • x >= 7

  14. A phone plan costs 5 pounds plus 1.50 pounds per GB, and the total must be at most 20 pounds. What is the most GB possible?

    • 15
    • 11
    • 9
    • 10

  15. Which inequality represents x is at least -4 and less than 1?

    • -4 <= x > 1
    • -4 <= x < 1
    • -4 >= x > 1
    • -4 < x <= 1

  16. Solve 4 - 2x < 10.

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

  17. The inequality 2x + 1 > 5 is solved by which smallest whole number?

    • 5
    • 3
    • 4
    • 2

  18. (H) Solve x^2 >= 9.

    • x >= -3 and x <= 3
    • x >= 4.5 or x <= -4.5
    • x >= 9 or x <= -9
    • x <= -3 or x >= 3

  19. (H) Write in set notation: x is greater than 2 and less than or equal to 5.

    • {x : 2 <= x < 5}
    • {x : 2 < x <= 5}
    • {x : 5 < x <= 2}
    • {x : x > 5}

  20. (H) How many integers satisfy -3 < 2x + 1 <= 7?

    • 5
    • 4
    • 3
    • 6

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