Algebra — NSW Year 10 Core Maths
Simplifying, expanding, algebraic fractions and linear equations. Three subtopics and 60 practice questions, each with a fully worked solution, aligned to NESA MA5-ALG-C-01 and MA5-EQU-C-01.
Algebra in NSW Year 10 Core
Algebra in Year 10 Core takes the skills from Year 9 and makes them quicker and more reliable. Students simplify and expand expressions, including binomial products, work with algebraic fractions that have numbers in the denominator, and solve linear equations with brackets, fractions and pronumerals on both sides.
The three subtopics below start with an algebra review, move through algebraic fractions, and finish with linear equations. Algebra is one of the 11 topics in NSW Year 10 Maths Core and sits within NESA's Number and Algebra strand (NESA outcomes MA5‑ALG‑C‑01 and MA5‑EQU‑C‑01). These skills are used all through the course, from straight-line graphs to quadratics. Linear inequalities are studied in Year 10 Advanced.
Subtopics
Algebra: common questions
What algebra is in Year 10 Core maths?
Year 10 Core algebra covers simplifying and expanding expressions, adding and subtracting algebraic fractions and solving linear equations. Each skill is practised with worked examples and worded problems.
How do you add algebraic fractions?
Write both fractions over a common denominator, then add the numerators. For example, \(\frac{x}{2} + \frac{x}{3} = \frac{3x}{6} + \frac{2x}{6} = \frac{5x}{6}\).
Which NESA outcomes cover Year 10 Core algebra?
Algebra sits in Stage 5 of the NSW Mathematics K–10 Syllabus (2022). Expanding and algebraic fractions come under MA5‑ALG‑C‑01 and linear equations under MA5‑EQU‑C‑01.
What comes after algebra in Year 10 Core?
The same skills are needed straight away for the equations of straight lines, and later for the financial formulas and for expanding and factorising quadratic expressions.