AC9M7A03Year 7AlgebraPractised on site

AC9M7A03 — Year 7 Algebra

Official Curriculum Content Description:

solve one-variable linear equations with natural number solutions; verify the solution by substitution

Worked Examples (1)

Example 1Two-Step Linear Equations

Solve the equation:

\frac{y}{6} + 3 = 5

Common mistake: Operated on one side only or reversed the order of inverse operations

Correct Answer:

12

Worked Solution:

1. Subtract 3 from both sides:

\frac{y}{6} + 3 - 3 = 5 - 3

\frac{y}{6} = 2

2. Multiply both sides by 6:

(\frac{y}{6}) \times 6 = 2 \times 6

y = 12

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