Solving Linear Inequalities

Solve one- and two-step linear inequalities with positive coefficients and represent the solution set on a number line.

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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-K-Y9-03
  • NZC26-P4-ALG-ER-P-Y9-04
  • NZC26-P4-ALG-ER-K-Y10-07
  • NZC26-P4-ALG-ER-P-Y10-02
  • NZC26-P4-ALG-ER-P-Y9-03

Resources

Terminology

  • inequality
  • inequality sign
  • greater than
  • less than
  • greater than or equal to
  • less than or equal to
  • number line
  • flip the sign

Task goals

  • Foundation: Solve one- and two-step linear inequalities with positive coefficients and represent the solution set on a number line.
  • Proficient: Solve multi-step linear inequalities involving negative coefficients, correctly reversing the inequality sign when multiplying or dividing by a negative number.
  • Excellence: Solve compound (double-sided) linear inequalities and apply inequality solving to worded, real-world contexts, interpreting the solution appropriately.

Where this fits

What leads into this objective, and where it goes next.

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Solving Linear Inequalities

Solving Linear Inequalities

Know

Multiplying or dividing by a negative number reverses an inequality.

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-K-Y9-03
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

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