Quadratic inequalities
10th grade (Year 11 in England) Β· 16 questions Β· Common Core: HSA.REI.B.4 Β· England: GCSE Higher Algebra
Name
Date
Score/ 16
Question 1
Solve: xΒ² β 7x β 8 < 0
- A. β8 < x < 1
- B. x < β8 or x > 1
- C. x < β1 or x > 8
- D. β1 < x < 8
Question 2
Solve: xΒ² β 3x β 4 > 0
- A. x < β1 or x > 4
- B. β4 < x < 1
- C. β1 < x < 4
- D. x < β4 or x > 1
Question 3
Solve: xΒ² β 4x β 32 < 0
- A. β4 < x < 8
- B. x < β8 or x > 4
- C. β8 < x < 4
- D. x < β4 or x > 8
Question 4
Solve: xΒ² β 5x + 4 < 0
- A. β4 < x < β1
- B. x < 1 or x > 4
- C. x < β4 or x > β1
- D. 1 < x < 4
Question 5
Solve: xΒ² β x β 30 > 0
- A. x < β5 or x > 6
- B. x < β6 or x > 5
- C. β6 < x < 5
- D. β5 < x < 6
Question 6
Solve: xΒ² β 2x β 8 < 0
- A. β2 < x < 4
- B. x < β4 or x > 2
- C. x < β2 or x > 4
- D. β4 < x < 2
Question 7
Solve: xΒ² β 7x + 6 > 0
- A. β6 < x < β1
- B. x < 1 or x > 6
- C. x < β6 or x > β1
- D. 1 < x < 6
Question 8
Solve: xΒ² β 7x + 6 > 0
- A. x < 1 or x > 6
- B. β6 < x < β1
- C. x < β6 or x > β1
- D. 1 < x < 6
Question 9
Solve: xΒ² + 3x β 10 < 0
- A. x < β5 or x > 2
- B. x < β2 or x > 5
- C. β5 < x < 2
- D. β2 < x < 5
Question 10
Solve: xΒ² β 2x β 8 > 0
- A. β4 < x < 2
- B. x < β2 or x > 4
- C. x < β4 or x > 2
- D. β2 < x < 4
Question 11
Solve: xΒ² + 6x + 5 < 0
- A. β5 < x < β1
- B. x < 1 or x > 5
- C. 1 < x < 5
- D. x < β5 or x > β1
Question 12
Solve: xΒ² + x β 30 < 0
- A. β5 < x < 6
- B. β6 < x < 5
- C. x < β5 or x > 6
- D. x < β6 or x > 5
Question 13
Solve: xΒ² β x β 2 > 0
- A. β1 < x < 2
- B. x < β2 or x > 1
- C. β2 < x < 1
- D. x < β1 or x > 2
Question 14
Solve: xΒ² + 3x β 4 < 0
- A. β4 < x < 1
- B. x < β1 or x > 4
- C. β1 < x < 4
- D. x < β4 or x > 1
Question 15
Solve: xΒ² β 5x β 6 > 0
- A. β1 < x < 6
- B. x < β6 or x > 1
- C. β6 < x < 1
- D. x < β1 or x > 6
Question 16
Solve: xΒ² β x β 30 > 0
- A. β6 < x < 5
- B. x < β5 or x > 6
- C. β5 < x < 6
- D. x < β6 or x > 5
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