Simplify algebraic expressions, apply identities, and factorise expressions to solve equations and word problems.
Like terms (terms with the same variable and power) can be combined by adding or subtracting their coefficients.
Simplify: 5x + 3y − 2x + 7y
(5x−2x) + (3y+7y) = 3x + 10y
Simplify: 4a² + 3a − a² + 2a
(4a²−a²) + (3a+2a) = 3a² + 5a
Factorisation means writing an expression as a product of simpler expressions, often by taking out a common factor or applying an identity.
Factorise: 6x + 9
3(2x+3)
Factorise using the identity for a² − b²: x² − 25
(x+5)(x−5)
1. Simplify: 7p + 4q − 3p + 2q
2. Simplify: 6m² + 2m − 3m² + 5m
3. Factorise: 8x + 12
4. Factorise using the identity for a²−b²: y²−49
5. Solve for x: 3x + 7 = 22