# Mathematics / Year 10 / Algebra

Version 9
Curriculum content descriptions

solve linear inequalities and simultaneous linear equations in 2 variables; interpret solutions graphically and communicate solutions in terms of the situation (AC9M10A02)

Elaborations
• investigating situations involving linear equations in context, such as multiple quotes for a job, or profit and loss; solving the equations graphically, giving solutions in everyday language, such as “break-even point” or “point to change providers” for the job
• describing the solution of simultaneous equations within the context of the situation
• graphing regions corresponding to inequalities in the Cartesian plane; for example, graphing $$2x+3y<24$$ and verifying using a test point such as ($$0, 0$$)
• identifying all the combinations of trips to the movies, each costing $$\12$$, and ice-skating sessions, each costing $$\21$$, as the integer solutions for an entertainment budget of up to $$\150$$ for the school holidays; expressing algebraically as $$12m+21s\leq150$$
• testing when a circle of a specified radius has a corresponding area greater than a given value, or whether a point satisfies an inequality; for example, whether the point ($$3, 5$$) satisfies $$2y • investigating the strategies inherent in First Nations Australian children’s instructive games; for example, Weme from the Warlpiri Peoples of central Australia, and their connection to strategies to solve simultaneous linear equations in \(2$$ variables
General capabilities
• Numeracy Numeracy
ScOT terms

Critical thinking,  Linear equations,  Simultaneous equations,  Function graphs,  Inequations

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