Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA4-7NA5-7
New NZC (2026)
NZC26-P4-ALG-ER-P-Y10-01
Resources
- MathsNZ - AS91027 Apply Algebraic Procedures past exam resources
- Dr Austin Maths - Mixed Algebra Revision Practice Grid 3Questions PDF · Answers
Terminology
- Expand
- Factorise
- Simplify
- Equation
- Solve
- Marking schedule
- Achievement
- Merit
- Excellence
Task goals
- Foundation: Single-procedure exam-style questions (expand, factorise, simplify, or solve a one/two-step equation) matching typical Achievement-level marking-schedule expectations.
- Proficient: Two-step combined questions (e.g. factorise then solve, or substitute then simplify an algebraic fraction) matching typical Merit-level marking-schedule expectations.
- Excellence: Context-based or multi-stage problems requiring the student to form an equation from a worded/geometric context and carry out several algebraic procedures with justification, matching typical Excellence-level marking-schedule expectations.
Where this fits
What leads into this objective, and where it goes next.
Before
Recognising equivalent algebraic expressions
Operations with Algebraic Fractions
Expanding and Factorising Algebraic Expressions
You are here
AS91027 Exam-Style Algebra Review (Mixed Practice Exam)
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
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.