Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
NA6-5
New NZC (2026)
NZC26-P4-ALG-ER-P-Y9-04NZC26-P4-ALG-ER-P-Y10-02
Resources
- Dr Austin Maths - Solving Equations with Fractions (Unknowns in the Denominator) Practice GridQuestions PDF · Answers
- Dr Austin Maths - Solving Equations with Fractional Coefficients Practice GridQuestions PDF · Answers
- CorbettMaths on solving equations with algebraic fractionsQuestions PDF · Answers
Terminology
- Rational equation
- Cross-multiplication
- Common denominator
- Excluded value
- Extraneous solution
Task goals
- Foundation: Solve equations containing a single algebraic fraction set equal to a whole number or another simple fraction, using cross-multiplication with one denominator.
- Proficient: Solve equations with two algebraic fractions having different linear denominators by finding a common denominator, then verify no value makes a denominator zero.
- Excellence: Solve equations where a denominator factorises (e.g. quadratic denominators), combine fractions over a common denominator, and correctly identify and reject any extraneous or excluded solutions.
Where this fits
What leads into this objective, and where it goes next.
You are here
Solving Equations with Algebraic Fractions (Rational Equations)
Do
Forming and solving linear equations with rational number coefficients and linear inequalities with positive coefficients
Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-04
Also under NA6-5:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.