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Multiply and divide algebraic fractions

10th grade (Year 11 in England) · 16 questions · Common Core: HSA.APR.D.7 · England: GCSE Higher Algebra

Name

Date

Score/ 16

1
Question 1
Simplify: (x² − 5x + 6)/x ÷ (x − 2)/(5x²)
- A. 5x(x − 2)
- B. 5x(x − 3)
- C. 5x²(x − 3)
- D. (x − 3)/(5x)
2
Question 2
Simplify: (x² − 1)/(x − 4) × (x − 4)/(x − 1)
- A. 1
- B. x² − 1
- C. (x + 1)
- D. (x − 1)
3
Question 3
Simplify: (x² − 10x + 25)/x ÷ (x − 5)/(5x²)
- A. (x − 5)/(5x)
- B. 5x²(x − 5)
- C. 5x(x − 5)
- D. 5(x − 5)
4
Question 4
Simplify: (x² − 36)/(x + 4) × (x + 4)/(x − 6)
- A. (x + 6)
- B. (x − 6)
- C. (x + 6)/(x + 4)
- D. 1
5
Question 5
Simplify: (x² − 36)/x ÷ (x + 6)/(4x²)
- A. 4x(x + 6)
- B. 4x²(x − 6)
- C. 4(x − 6)
- D. 4x(x − 6)
6
Question 6
Simplify: (x² − 25)/(x + 1) × (x + 1)/(x − 5)
- A. (x + 5)/(x + 1)
- B. x² − 25
- C. (x − 5)
- D. (x + 5)
7
Question 7
Simplify: (x² − 2x − 8)/x ÷ (x − 4)/(2x²)
- A. (x + 2)/(2x)
- B. 2x(x − 4)
- C. 2x²(x + 2)
- D. 2x(x + 2)
8
Question 8
Simplify: (x² − 1)/(x + 2) × (x + 2)/(x − 1)
- A. (x + 1)
- B. (x − 1)
- C. x² − 1
- D. (x + 1)/(x + 2)
9
Question 9
Simplify: (x² − x − 2)/x ÷ (x − 2)/(2x²)
- A. 2x(x − 2)
- B. 2x²(x + 1)
- C. 2x(x + 1)
- D. 2(x + 1)
10
Question 10
Simplify: (x² − 64)/(x + 3) × (x + 3)/(x − 8)
- A. (x + 8)
- B. 1
- C. x² − 64
- D. (x − 8)
11
Question 11
Simplify: (x² − 7x + 6)/x ÷ (x − 6)/(5x²)
- A. 5(x − 1)
- B. 5x²(x − 1)
- C. 5x(x − 1)
- D. (x − 1)/(5x)
12
Question 12
Simplify: (x² − 49)/(x + 5) × (x + 5)/(x − 7)
- A. 1
- B. (x + 7)/(x + 5)
- C. (x + 7)
- D. (x − 7)
13
Question 13
Simplify: (x² − 3x − 4)/x ÷ (x − 4)/(4x²)
- A. 4x²(x + 1)
- B. 4(x + 1)
- C. 4x(x + 1)
- D. (x + 1)/(4x)
14
Question 14
Simplify: (x² − 1)/(x − 2) × (x − 2)/(x − 1)
- A. (x − 1)
- B. x² − 1
- C. (x + 1)/(x − 2)
- D. (x + 1)
15
Question 15
Simplify: (x² − 4x − 5)/x ÷ (x − 5)/(2x²)
- A. (x + 1)/(2x)
- B. 2x(x + 1)
- C. 2x(x − 5)
- D. 2(x + 1)
16
Question 16
Simplify: (x² − 36)/(x + 7) × (x + 7)/(x − 6)
- A. (x + 6)
- B. x² − 36
- C. (x + 6)/(x + 7)
- D. 1

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