IGCSE Maths Edexcel A 4MA1

2.2: Algebraic manipulation

#2.2A

evaluate expressions by substituting numerical values for letters

#2.2B

collect like terms

#2.2C

multiply a single term over a bracket

$3x(2x+5)$

#2.2D

take out common factors

Factorise fully $8xy + 12y^2$

#2.2E

expand the product of two simple linear expressions

Expand and simplify $(x+8)(x-5)$

#2.2F

understand the concept of a quadratic expression and be able to factorise such expressions (limited to $x^2 + bx + c$ )

Factorise $x^2 + 10x + 24$

#2.2G

expand the product of two or more linear expressions

Factorise $(x + 2)(x + 3)(x - 1)$

#2.2H

understand the concept of a quadratic expression and be able to factorise such expressions

Factorise $6x^2 - 5x - 6$

#2.2I

manipulate algebraic fractions where the numerator and/or the denominator can be numeric, linear or quadratic

Express as a single fraction $\dfrac{3x+1}{x+2} - \dfrac{x-2}{x-1}$

Simplify $\dfrac{2x^2+3x}{4x^2-9}$

#2.2J

complete the square for a given quadratic expression

Write $2x^2 + 6x - 1$ in the form $a(x + b)^2 + c$

#2.2K

use algebra to support and construct proofs

2.1

Use of symbols

2.3

Expressions and formulae