Substitution

Substitute numbers for variables in expressions and evaluate.

Worksheet Builder All resources ☕ Shout us a flat white Download All

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-7
  • NA5-7
New NZC (2026)
  • NZC26-P4-ALG-ER-P-Y9-05
  • NZC26-P3-ALG-ER-K-Y7-01
  • NZC26-P3-ALG-ER-K-Y7-04
  • NZC26-P3-ALG-ER-P-Y7-03

Resources

  • Alpha textbook: Skills in Ex 13.03, pgs 207 & 208
  • Alpha textbook: Substitution, Ex 11.02, pg 176
  • Alpha textbook: PSE 11B, pg 177
  • Alpha textbook: More than one variable, Ex 11.03 and Ex 11.04, pg 178
  • Alpha textbook: Substitution with brackets, Ex 13.03, pg 207
  • Alpha textbook: Substitution with powers, Ex 13.06, pg 211 and Ex 13.07, pg 213
  • Beta: Skills in Chapter 7, pg 138-147
  • Beta: Ex 7.03 to 7.05, pgs 139 to 143
  • Dr Austin Maths - Substitution into Expressions and Formulae Practice GridQuestions PDF · Answers
  • CorbettMaths worksheetQuestions PDF · Answers

Terminology

  • substitute
  • variable
  • expression
  • evaluate
  • pronumeral
  • coefficient
  • value
  • formula

Task goals

  • Substitute a given value for a single variable into an expression and evaluate it, applying the correct order of operations.
  • Substitute given values for two or more variables into an expression, including expressions with powers, brackets, and fractions.
  • Substitute negative or decimal values into an expression, taking care with signs when squaring or cubing.
  • Check whether a given value is a solution to a simple equation by substituting it in and testing both sides.
  • Substitute values into a real-world formula, such as speed, hire cost, or temperature conversion, and evaluate the result, including when the formula must be rearranged to solve for a different variable.

Where this fits

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

You are here

Substitution

Substitution

Do

Using substitution to find the value of an expression or a formula, given the values of its variables

Statement▸
Year 9 · Algebra · Equations and relationships
NZC26-P4-ALG-ER-P-Y9-05

Explore the whole sequence →