Te reo Māori terms
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Worksheet 1
Worksheet 2: new variation
Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA5-7NA5-8
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-01
Resources
- Dr Austin Maths - Mixed Factorising Quadratics Practice GridQuestions PDF · Answers
- Dr Austin Maths - Algebraic Laws of Indices Practice GridQuestions PDF · Answers
- CorbettMaths on solving equationsQuestions PDF · Answers
- CorbettMaths on Simplifying Algebraic Fractions (quadratic over quadratic)Questions PDF · Answers
- CorbettMaths worksheet on negative indicesQuestions PDF · Answers
- CorbettMaths worksheet on fractional indicesQuestions PDF · Answers
- CorbettMaths on re-arranging formulaQuestions PDF · Answers
Terminology
- factorise
- quadratic
- simultaneous equations
- negative index
- fractional index
- subject of a formula
- restriction
- extraneous solution
Task goals
- Simplify, expand, and factorise multi-step algebraic expressions, including algebraic fractions and restrictions.
- Solve linear, fractional, simultaneous, quadratic, and inequality problems using clear algebraic working.
- Apply negative and fractional index laws and give final answers using positive indices.
- Rearrange linear, rational, square-root, and fractional-index formulae to make a named variable the subject.
- Combine methods to solve unfamiliar problems, reject extraneous solutions, and prove divisibility statements.
Teaching guidance
- Cumulative Level 2 algebra review progressing from manipulation and factorising through equations, indices, formula rearrangement, proof, and unfamiliar mixed-method problems.
Where this fits
What leads into this objective, and where it goes next.
Before
Adding and Subtracting Expressions (Like Terms)
Factorising single brackets
Expanding and Factorising Algebraic Expressions
You are here
Level 2 algebra review
Do
Simplifying and manipulating algebraic expressions involving sums, products, differences, and positive integer powers, by: collecting like terms; factorising using common factors; factorising quadratic expressions with a leading coefficient of 1; expanding products, including multiplying a single term by a bracketed term, and multiplying two expressions each of the form ax + b, where a and b are integers; factorising by grouping (i.e. using the distributive law) (e.g. x^2 + 2x − 8 = x^2 + 4x − 2x − 8 = x(x + 4) − 2(x + 4) = (x − 2)(x + 4))
Statement▸
Year 10 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y10-01
