Algebra

IGCSE Edexcel Mathematics
2.1 Algebraic Notation
2.2 Algebraic Manipulation
2.3 Equations
Key Skills:
• Simplifying algebraic expressions
• Solving linear equations
• Expanding brackets
• Factoring expressions

Section A: Simplifying Expressions

1. Simplify the following expressions: [6]

a) 3x + 5x - 2x

b) 4y + 3 - 2y + 5

c) 2a + 3b - a + 2b

Section B: Expanding Brackets

2. Expand the following: [6]

a) 3(x + 4)

b) 2(3y - 5)

c) (x + 2)(x + 3)

Section C: Solving Linear Equations

3. Solve the following equations: [9]

a) x + 5 = 12

b) 2x - 3 = 7

c) 3(x + 2) = 15

Section D: Factoring

4. Factorise the following: [6]

a) 6x + 9

b) x² + 5x

c) 2xy + 4x

Section E: Problem Solving

5. A rectangle has length (2x + 3) and width (x - 1). [4]

a) Write an expression for the perimeter.

b) If the perimeter is 26 cm, find the value of x.

Total: [31 marks]