Solving Linear Equations with Brackets

Reason For Learning

Equations involving brackets are encountered frequently in algebra. Learning how to solve these types of equations adds to the toolbox of techniques used to solve linear equations.

Learning Intention

To solve equations containing brackets, either by expanding the bracket first or dividing both sides by the coefficient of the bracket.

Key Vocabulary Terms

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ACMNA190 Level 8

Extend and apply the distributive law to the expansion of algebraic expressions

ACMNA213 Level 9

Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate

ACMNA235 Level 10

Solve problems involving linear equations, including those derived from formulas

ACMNA240 Level 10

Solve linear equations involving simple algebraic fractions