Year 8 · Mathematics · Algebra

AC9M8A02

graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution

The content description above is Australian Curriculum, Assessment and Reporting Authority (ACARA)’s own wording, reproduced unmodified from the Australian Curriculum v9.0, read in August 2026, and licensed CC BY 4.0.

© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website and was not modified. ACARA does not endorse this product and is not affiliated with it.

Taught alongside it

The rest of Algebra in Year 8.

The same idea, year by year

Where AC9M8A02 comes from and where it goes, for a student working below or above Year 8.

1. Year 7AC9M7A01recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
2. Year 7AC9M7A02formulate algebraic expressions using constants, variables, operations and brackets
3. Year 7AC9M7A03solve one-variable linear equations with natural number solutions; verify the solution by substitution
4. Year 7AC9M7A04describe relationships between variables represented in graphs of functions from authentic data
5. Year 7AC9M7A05generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
6. Year 7AC9M7A06manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
7. Year 9AC9M9A01apply the exponent laws to numerical expressions with integer exponents and extend to variables
8. Year 9AC9M9A02simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
9. Year 9AC9M9A03find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane
10. Year 9AC9M9A04identify and graph quadratic functions, solve quadratic equations graphically and numerically, and solve monic quadratic equations with integer roots algebraically, using graphing software and digital tools as appropriate
11. Year 9AC9M9A05use mathematical modelling to solve applied problems involving change including financial contexts; formulate problems, choosing to use either linear or quadratic functions; interpret solutions in terms of the situation; evaluate the model and report methods and findings
12. Year 9AC9M9A06experiment with the effects of the variation of parameters on graphs of related functions, using digital tools, making connections between graphical and algebraic representations, and generalising emerging patterns