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Algebra

8 dot points across 8 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you expand, factorise and simplify algebraic expressions?

Collecting like terms, expanding single and double brackets, factorising into brackets, and simplifying algebraic fractions at Higher tier.
A focused answer to the AQA GCSE Mathematics algebra content on manipulation, covering collecting like terms, expanding single and double brackets, factorising into brackets, and simplifying algebraic fractions at Higher tier.
9 min answer →

How do you solve and represent linear and quadratic inequalities?

Solving linear inequalities, representing solutions on a number line, solving quadratic inequalities at Higher tier, and graphing inequality regions.
A focused answer to the AQA GCSE Mathematics algebra content on inequalities, covering solving linear inequalities, representing solutions on a number line, solving quadratic inequalities at Higher tier, and graphing inequality regions.
8 min answer →

How do you recognise and sketch quadratic, cubic, reciprocal and exponential graphs?

Recognising and sketching quadratic, cubic, reciprocal and exponential graphs, reading roots and turning points, and using function notation at Higher tier.
A focused answer to the AQA GCSE Mathematics algebra content on other graphs and functions, covering recognising and sketching quadratic, cubic, reciprocal and exponential graphs, reading roots and turning points, and using function notation at Higher tier.
9 min answer →

How do you solve quadratic equations by factorising, the formula and completing the square?

Solving quadratics by factorising, using the quadratic formula, completing the square at Higher tier, and interpreting the roots and turning point.
A focused answer to the AQA GCSE Mathematics algebra content on quadratic equations, covering solving by factorising, the quadratic formula, completing the square at Higher tier, and interpreting the roots and turning point.
10 min answer →

How do you find the nth term of a sequence and recognise special sequences?

Continuing sequences, finding the nth term of linear and quadratic sequences, and recognising geometric, triangular and Fibonacci sequences.
A focused answer to the AQA GCSE Mathematics algebra content on sequences, covering continuing sequences, finding the nth term of linear and quadratic sequences, and recognising geometric, triangular and Fibonacci sequences.
9 min answer →

How do you solve a pair of simultaneous equations by elimination and substitution?

Solving linear simultaneous equations by elimination and substitution, and solving a linear and quadratic pair at Higher tier.
A focused answer to the AQA GCSE Mathematics algebra content on simultaneous equations, covering solving linear pairs by elimination and substitution and solving a linear and quadratic pair at Higher tier.
9 min answer →

How do you solve linear equations and rearrange formulae?

Solving linear equations with the unknown on one or both sides, equations with brackets and fractions, and changing the subject of a formula.
A focused answer to the AQA GCSE Mathematics algebra content on linear equations, covering solving equations with the unknown on one or both sides, equations with brackets and fractions, and changing the subject of a formula.
8 min answer →

How do you find the gradient and equation of a straight line and use parallel and perpendicular rules?

Plotting straight lines, finding gradient and intercept from the equation, writing equations of lines, and the conditions for parallel and perpendicular lines.
A focused answer to the AQA GCSE Mathematics algebra content on straight line graphs, covering gradient and intercept, the equation of a line through points, and the conditions for parallel and perpendicular lines.
9 min answer →