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Year 10 · Mathematics · Algebra

AC9M10A02

solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation

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 10.

AC9M10A01

expand, factorise and simplify expressions and solve equations algebraically, applying exponent laws involving products, quotients and powers of variables, and the distributive property

AC9M10A03

recognise the connection between algebraic and graphical representations of exponential relations and solve related exponential equations, using digital tools where appropriate

AC9M10A04

use mathematical modelling to solve applied problems involving growth and decay, including financial contexts; formulate problems, choosing to apply linear, quadratic or exponential models; interpret solutions in terms of the situation; evaluate and modify models as necessary and report assumptions, methods and findings

AC9M10A05

experiment with functions and relations using digital tools, making and testing conjectures and generalising emerging patterns

The same idea, year by year

Where AC9M10A02 comes from and where it goes, for a student working below or above Year 10.

  1. Year 9AC9M9A01apply the exponent laws to numerical expressions with integer exponents and extend to variables
  2. Year 9AC9M9A02simplify algebraic expressions, expand binomial products and factorise monic quadratic expressions
  3. 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
  4. 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
  5. 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
  6. 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

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