Introduction to Algebra — Questions

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

Question 1

[2](a)Expand and simplify 3(2x − 5).

Question 2

[2](a)Factorise fully 6x + 9.

Question 3

[2](a)Given y = 2x² − 3x, find the value of y when x = 4.

Question 4

[2](a)Expand and simplify (x + 3)(x + 5).

Question 5

[2](a)Expand 2x(3x − 4).

Question 6

[2](a)Given a = 2 and b = −3, evaluate a² − b².

Question 7

[1](a)Factorise fully 4x + 8.

Question 8

[2](a)Simplify 5x + 3y − 2x + y.

Question 9

[2](a)Given P = 2(l + w), find P when l = 7 and w = 3.

Question 10

[2](a)Expand and simplify (2x − 1)(x + 4).

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