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SingaporeMaths

Equations and Inequalities

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we solve linear equations and pairs of simultaneous linear equations?

Solve linear equations in one unknown, including those with fractions, and solve simultaneous linear equations by substitution and elimination
A focused answer to the O-Level E-Maths outcome on linear and simultaneous equations. Solving one-unknown linear equations including fractional ones, and solving simultaneous equations by substitution and by elimination.
8 min answer →

How do we solve linear inequalities and represent the solution set?

Solve linear inequalities in one variable, represent solutions on a number line, and find integer values that satisfy an inequality
A focused answer to the O-Level E-Maths outcome on linear inequalities. Solving inequalities, the rule for reversing the sign when multiplying or dividing by a negative, number-line representation, and listing integer solutions.
7 min answer →

How do we solve quadratic equations by factorisation, and what do the solutions mean?

Solve quadratic equations by factorisation and interpret the solutions, including equations that must first be rearranged into standard form
A focused answer to the O-Level E-Maths outcome on solving quadratics by factorisation. Standard form, the zero product property, rearranging before solving, and interpreting the roots.
8 min answer →

How do we solve quadratics that do not factorise, using the formula and completing the square?

Solve quadratic equations using the quadratic formula and by completing the square, and express a quadratic in completed-square form
A focused answer to the O-Level E-Maths outcome on the quadratic formula and completing the square. Applying the formula, completing the square to solve and to find a minimum, and giving answers to the required accuracy.
9 min answer →

How do we turn a worded situation into equations and solve it?

Formulate linear and quadratic equations from worded problems, solve them, and interpret the solution in context
A focused answer to the O-Level E-Maths outcome on forming and solving equations from words. Defining variables, translating relationships into equations, solving, and checking that the answer makes sense in context.
8 min answer →