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Quadratic inequalities
10th grade (Year 11 in England) · 16 questions · Common Core: HSA.REI.B.4 · England: GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Solve: x² − 11x + 24 > 0
- A. x < 3 or x > 8
- B. x < −8 or x > −3
- C. 3 < x < 8
- D. −8 < x < −3
Question 2
Solve: x² + 5x − 6 > 0
- A. x < −6 or x > 1
- B. −6 < x < 1
- C. −1 < x < 6
- D. x < −1 or x > 6
Question 3
Solve: x² − 2x − 15 < 0
- A. −5 < x < 3
- B. −3 < x < 5
- C. x < −5 or x > 3
- D. x < −3 or x > 5
Question 4
Solve: x² − x − 6 < 0
- A. x < −3 or x > 2
- B. −2 < x < 3
- C. −3 < x < 2
- D. x < −2 or x > 3
Question 5
Solve: x² + 4x + 3 > 0
- A. x < −3 or x > −1
- B. x < 1 or x > 3
- C. 1 < x < 3
- D. −3 < x < −1
Question 6
Solve: x² − 8x + 15 < 0
- A. x < −5 or x > −3
- B. 3 < x < 5
- C. x < 3 or x > 5
- D. −5 < x < −3
Question 7
Solve: x² − 6x − 7 < 0
- A. x < −1 or x > 7
- B. −7 < x < 1
- C. x < −7 or x > 1
- D. −1 < x < 7
Question 8
Solve: x² + x − 30 > 0
- A. x < −6 or x > 5
- B. −6 < x < 5
- C. x < −5 or x > 6
- D. −5 < x < 6
Question 9
Solve: x² + x − 20 < 0
- A. x < −5 or x > 4
- B. x < −4 or x > 5
- C. −4 < x < 5
- D. −5 < x < 4
Question 10
Solve: x² + 2x − 8 < 0
- A. x < −2 or x > 4
- B. −2 < x < 4
- C. −4 < x < 2
- D. x < −4 or x > 2
Question 11
Solve: x² + x − 2 < 0
- A. −2 < x < 1
- B. −1 < x < 2
- C. x < −2 or x > 1
- D. x < −1 or x > 2
Question 12
Solve: x² − x − 6 < 0
- A. −3 < x < 2
- B. x < −2 or x > 3
- C. −2 < x < 3
- D. x < −3 or x > 2
Question 13
Solve: x² − x − 6 < 0
- A. −3 < x < 2
- B. −2 < x < 3
- C. x < −3 or x > 2
- D. x < −2 or x > 3
Question 14
Solve: x² − 9x + 20 > 0
- A. −5 < x < −4
- B. x < 4 or x > 5
- C. x < −5 or x > −4
- D. 4 < x < 5
Question 15
Solve: x² − 36 < 0
- A. x < −6 or x > 6
- B. −6 < x < 6
Question 16
Solve: x² − 8x + 12 > 0
- A. −6 < x < −2
- B. 2 < x < 6
- C. x < −6 or x > −2
- D. x < 2 or x > 6
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