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WalesMaths

Algebra

7 dot points across 7 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you simplify expressions, expand brackets, factorise, substitute and rearrange formulae?

Simplify expressions by collecting like terms, expand single and double brackets, factorise into brackets, substitute into expressions and formulae, and change the subject of a formula.
A focused answer to the WJEC GCSE Mathematics algebra content on manipulation, covering collecting like terms, expanding single and double brackets, factorising, substituting into formulae and changing the subject of a formula.
12 min answer →

How do you solve linear inequalities, show solutions on a number line, and list integer solutions?

Solve linear inequalities in one variable, represent solutions on a number line and as integer lists, and solve double inequalities, including reversing the sign when dividing by a negative.
A focused answer to the WJEC GCSE Mathematics algebra content on inequalities, covering solving linear inequalities, number line representation, integer solution lists, double inequalities and the rule for dividing by a negative.
11 min answer →

How do you solve a quadratic equation by factorising, by the formula or by completing the square, and sketch its graph?

Factorise and solve quadratic equations by factorisation, the quadratic formula and completing the square, and plot and interpret quadratic graphs and their roots and turning points (Higher tier).
A focused answer to the WJEC GCSE Mathematics Higher algebra content on quadratics, covering factorising, the quadratic formula and completing the square, and plotting and interpreting parabolas, their roots and turning points.
12 min answer →

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

Continue and describe sequences, find the nth term of a linear (arithmetic) sequence, and recognise quadratic, geometric, Fibonacci and other special sequences.
A focused answer to the WJEC GCSE Mathematics algebra content on sequences, covering term-to-term and position-to-term rules, finding the nth term of a linear sequence, and recognising quadratic, geometric and Fibonacci-type sequences.
11 min answer →

How do you solve a pair of simultaneous linear equations by elimination, substitution or graphically?

Solve simultaneous linear equations in two unknowns by elimination and by substitution, solve them graphically, and form simultaneous equations from worded contexts.
A focused answer to the WJEC GCSE Mathematics algebra content on simultaneous equations, covering the elimination and substitution methods, graphical solutions and forming simultaneous equations from worded problems.
11 min answer →

How do you solve linear equations, including ones with brackets, fractions and the unknown on both sides?

Solve linear equations with one unknown, including those with brackets, fractions and the unknown on both sides, and form equations from worded contexts.
A focused answer to the WJEC GCSE Mathematics algebra content on solving linear equations, covering inverse operations, brackets, fractions, the unknown on both sides, and forming equations from worded problems.
11 min answer →

How do you plot and interpret a straight line graph, find its gradient and intercept, and use y = mx + c?

Plot and interpret straight line graphs, find the gradient and y-intercept, write the equation y = mx + c, and find equations of parallel and perpendicular lines (Higher tier).
A focused answer to the WJEC GCSE Mathematics algebra content on straight line graphs, covering plotting from a table, gradient and intercept, the equation y = mx + c, and parallel and perpendicular lines at Higher tier.
12 min answer →