Level 2 Algebra Walkthrough
2025 NCEA Level 2 Algebra Question 1(b)
2025 Paper
Question
Rearrange the expression to make \(x\) the subject.
First walkthrough idea
Hint to try first
Undo the cube root first by cubing both sides.
Step 1
Identify the first operation
Cubing is the inverse of taking a cube root.
Show the first step’s working
Cubing is the inverse of taking a cube root.
Key result
Cube both sidesWalkthrough overview
What this question practises
This 2025 walkthrough is part of AS91261 — Apply algebraic methods in solving problems.
Method: Rearranging an equation to make x the subject.
This is Question 1(b) from the 2025 NCEA Level 2 Algebra paper for AS91261 — Apply algebraic methods in solving problems. Use the guided hints to practise the method before revealing the full working.
Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91261.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise rearranging an equation to make x the subject. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Check each step against the original condition, preserve signs and restrictions, and confirm that the final result answers the question asked.