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SingaporeMaths

Equations and Inequalities

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we solve a linear equation by keeping it balanced, and how do we turn a word problem into one?

Solve linear equations in one unknown, including those with brackets and fractions, and form linear equations from word problems
A focused answer to the N(A)-Level Mathematics outcome on linear equations. The balance method, equations with brackets and fractions, checking solutions, and forming equations from words.
8 min answer →

How do we solve a linear inequality, and why does the inequality sign sometimes flip?

Solve simple linear inequalities in one unknown and represent the solution on a number line
A focused answer to the N(A)-Level Mathematics outcome on inequalities. The inequality symbols, solving like an equation, the rule for multiplying or dividing by a negative, and number-line diagrams.
8 min answer →

How do we solve a quadratic equation, where the unknown appears squared, by factorising or using the formula?

Solve quadratic equations of the form ax^2 + bx + c = 0 by factorisation and by the quadratic formula
A focused answer to the N(A)-Level Mathematics outcome on quadratic equations. The zero product rule, solving by factorisation, the quadratic formula, and recognising when each is appropriate.
9 min answer →

How do we find the pair of values that satisfies two linear equations at the same time?

Solve a pair of simultaneous linear equations in two unknowns by elimination and by substitution, and form them from word problems
A focused answer to the N(A)-Level Mathematics outcome on simultaneous equations. The elimination and substitution methods, checking both equations, and forming a pair from a word problem.
9 min answer →