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Quadratic inequalities

10th grade (Year 11 in England) Β· 16 questions Β· Common Core: HSA.REI.B.4 Β· England: GCSE Higher Algebra

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  1. Question 1

    Solve: xΒ² βˆ’ 7x βˆ’ 8 < 0

    • A. βˆ’8 < x < 1
    • B. x < βˆ’8 or x > 1
    • C. x < βˆ’1 or x > 8
    • D. βˆ’1 < x < 8
  2. Question 2

    Solve: xΒ² βˆ’ 3x βˆ’ 4 > 0

    • A. x < βˆ’1 or x > 4
    • B. βˆ’4 < x < 1
    • C. βˆ’1 < x < 4
    • D. x < βˆ’4 or x > 1
  3. Question 3

    Solve: xΒ² βˆ’ 4x βˆ’ 32 < 0

    • A. βˆ’4 < x < 8
    • B. x < βˆ’8 or x > 4
    • C. βˆ’8 < x < 4
    • D. x < βˆ’4 or x > 8
  4. Question 4

    Solve: xΒ² βˆ’ 5x + 4 < 0

    • A. βˆ’4 < x < βˆ’1
    • B. x < 1 or x > 4
    • C. x < βˆ’4 or x > βˆ’1
    • D. 1 < x < 4
  5. Question 5

    Solve: xΒ² βˆ’ x βˆ’ 30 > 0

    • A. x < βˆ’5 or x > 6
    • B. x < βˆ’6 or x > 5
    • C. βˆ’6 < x < 5
    • D. βˆ’5 < x < 6
  6. Question 6

    Solve: xΒ² βˆ’ 2x βˆ’ 8 < 0

    • A. βˆ’2 < x < 4
    • B. x < βˆ’4 or x > 2
    • C. x < βˆ’2 or x > 4
    • D. βˆ’4 < x < 2
  7. Question 7

    Solve: xΒ² βˆ’ 7x + 6 > 0

    • A. βˆ’6 < x < βˆ’1
    • B. x < 1 or x > 6
    • C. x < βˆ’6 or x > βˆ’1
    • D. 1 < x < 6
  8. Question 8

    Solve: xΒ² βˆ’ 7x + 6 > 0

    • A. x < 1 or x > 6
    • B. βˆ’6 < x < βˆ’1
    • C. x < βˆ’6 or x > βˆ’1
    • D. 1 < x < 6
  9. Question 9

    Solve: xΒ² + 3x βˆ’ 10 < 0

    • A. x < βˆ’5 or x > 2
    • B. x < βˆ’2 or x > 5
    • C. βˆ’5 < x < 2
    • D. βˆ’2 < x < 5
  10. Question 10

    Solve: xΒ² βˆ’ 2x βˆ’ 8 > 0

    • A. βˆ’4 < x < 2
    • B. x < βˆ’2 or x > 4
    • C. x < βˆ’4 or x > 2
    • D. βˆ’2 < x < 4
  11. Question 11

    Solve: xΒ² + 6x + 5 < 0

    • A. βˆ’5 < x < βˆ’1
    • B. x < 1 or x > 5
    • C. 1 < x < 5
    • D. x < βˆ’5 or x > βˆ’1
  12. Question 12

    Solve: xΒ² + x βˆ’ 30 < 0

    • A. βˆ’5 < x < 6
    • B. βˆ’6 < x < 5
    • C. x < βˆ’5 or x > 6
    • D. x < βˆ’6 or x > 5
  13. Question 13

    Solve: xΒ² βˆ’ x βˆ’ 2 > 0

    • A. βˆ’1 < x < 2
    • B. x < βˆ’2 or x > 1
    • C. βˆ’2 < x < 1
    • D. x < βˆ’1 or x > 2
  14. Question 14

    Solve: xΒ² + 3x βˆ’ 4 < 0

    • A. βˆ’4 < x < 1
    • B. x < βˆ’1 or x > 4
    • C. βˆ’1 < x < 4
    • D. x < βˆ’4 or x > 1
  15. Question 15

    Solve: xΒ² βˆ’ 5x βˆ’ 6 > 0

    • A. βˆ’1 < x < 6
    • B. x < βˆ’6 or x > 1
    • C. βˆ’6 < x < 1
    • D. x < βˆ’1 or x > 6
  16. Question 16

    Solve: xΒ² βˆ’ x βˆ’ 30 > 0

    • A. βˆ’6 < x < 5
    • B. x < βˆ’5 or x > 6
    • C. βˆ’5 < x < 6
    • D. x < βˆ’6 or x > 5

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  1. βˆ’1 < x < 8
  2. x < βˆ’1 or x > 4
  3. βˆ’4 < x < 8
  4. 1 < x < 4
  5. x < βˆ’5 or x > 6
  6. βˆ’2 < x < 4
  7. x < 1 or x > 6
  8. x < 1 or x > 6
  9. βˆ’5 < x < 2
  10. x < βˆ’2 or x > 4
  11. βˆ’5 < x < βˆ’1
  12. βˆ’6 < x < 5
  13. x < βˆ’1 or x > 2
  14. βˆ’4 < x < 1
  15. x < βˆ’1 or x > 6
  16. x < βˆ’5 or x > 6