Lessons
12Adding and Subtracting Like Terms
Adding and subtracting like terms, with grouping diagrams and practice worksheets.
Algebraic Language and Conventions
Algebraic language, conventions, terms and expression types, with labelled diagrams and worksheets.
Multiplying a Binomial by a Binomial
Multiplying a binomial by a binomial using the distributive property.
Multiplying and Dividing Algebraic Expressions
Multiplying and dividing algebraic expressions, with distributive-law diagrams.
Simplifying Algebraic Expressions
Simplifying algebraic expressions, with revision worksheets.
Squares and Cubes of Algebraic Terms
Determine the squares and cubes of single algebraic terms, applying the laws of exponents and the sign rules for even and odd powers.
Square Roots and Cube Roots of Algebraic Terms
Square roots and cube roots of algebraic terms, with worked root examples.
Substitution in Algebraic Expressions
Determine the numerical value of algebraic expressions, including powers, roots and real-world formulae, by substituting values for the variables.
Factorising Expressions with Common Factors
Factorise algebraic expressions that involve numerical, variable and bracketed common factors, and verify each factorisation by expanding.
Factorising the Difference of Two Squares
Recognise and factorise expressions of the form a^2 - b^2, handling negative first terms and higher powers.
Factorising Trinomials
Factorise trinomials of the form x^2 + bx + c by finding two numbers with a given product and sum, including cases with a common factor.
Simplifying Algebraic Fractions
Simplify algebraic fractions by factorising the numerator and denominator, cancelling common factors and stating the restrictions on the variable.