Algebraic Fractions — Questions

IGCSE Mathematics (0580) practice questions. Work through each question before checking the solutions page.

Question 1

[3](a)Simplify 2/x + 3/(x+1), giving your answer as a single fraction.

Question 2

[2](a)Simplify (x² − 9)/(x + 3).

Question 3

[3](a)Simplify 3/x − 2/(x+2), giving your answer as a single fraction.

Question 4

[2](a)Simplify (x² − 25)/(x − 5).

Question 5

[2](a)Simplify (4x)/(2x²) fully.

Question 6

[2](a)Simplify (x+2)/(x+2)(x−3), stating any value of x for which the expression is undefined.

Question 7

[2](a)Simplify 5/(2x) × 4x/15.

Question 8

[2](a)Write 1/x + 1/(2x) as a single fraction.

Question 9

[3](a)Simplify 2/(x+1) + 1/(x−1) as a single fraction.

Question 10

[1](a)Simplify x⁴ ÷ x⁻².

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