Solving 2-step equations

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)

New NZC (2026)

Alpha textbook: Equations with numbers on both sides, Ex 14.09, pgs 228 & 229 and PSE 14C, pg 229
Alpha textbook: Harder equations with integer answers, Ex 14.14, pg 234
Alpha textbook: Solving equations with brackets, Ex 15.09, pgs 248 & 249
Other: this worksheet covers different levels of difficulty for solving (1-step, 2-step, variables on both sides, etc).
CorbettMaths worksheetQuestions PDF · Answers
Beta: Skills in Chapters 10, pg 178-185
Beta: Chapter 10 – pgs 176 to 197
Beta: Contextual questions: Ex 10.06, Ex 10.08, Ex 10.12, and Ex 10.14

Solve a two-step equation of the form ax + b = c or ax - b = c by undoing the operations in reverse order.
Solve a two-step equation involving a fraction, such as x/a + b = c, by undoing division last.
Solve a two-step equation with a negative coefficient or a negative solution.
Solve an equation where the unknown is inside a bracket, such as a(x + b) = c, by expanding or dividing first.
Simplify like terms on one side of an equation before solving.
Solve a two-step equation where the unknown appears in the numerator of a fraction, such as (x + b)/a = c.