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AC9M8A01

create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties

Elaborations

  • AC9M8A01_E1rearranging and simplifying linear expressions involving variables with integer coefficients and constants; using manipulatives such as algebra tiles to support calculations; for example, using manipulatives to demonstrate that 2x+4 = 2(x+2), 3(a-b)=3a -3b, or 5(m+2n)+3m-4n = 5m+10n+3m-4n = 8m+6n
  • AC9M8A01_E2demonstrating the relationship between factorising and expanding linear expressions using manipulatives, such as algebra tiles or area models, and describing with mathematical language
  • AC9M8A01_E3using the distributive, associative, commutative, identity and inverse properties to expand and factorise algebraic expressions using strategies such as the area model

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Practice Questions — Algebra
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AC9M8A01 – create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties | LessonForge