Create algebraic expressions and evaluate them by substituting a given value for each variable(ACMNA176)

LO:To evaluate algebraic expressions

  • What an expression is
  • The four basic operations of numeracy


  • That expressions can be created and solved using substituting methods.


  • I can evaluate algebraic expressions

Essential Questions:

  • What is an expression?
  • How can algebraic expressions be evaluated?

Expressions and Equations

An expression is one-half of a equation.


x – 6 is an expression.

x – 6 = 10 is an equation.

Evaluating an Expression

To evaluate an expression, means to solve for the “missing piece”.

To evaluate an expression, we substitute (or replace) each pronumeral with a number and then work out the value.
Make sure you follow the correct order of operations when evaluating an expression (BODMAS)

X + 6, evaluate the value of the expression when we substitute (replace) x for 10.
10 + 6 = 16.

3k + 5, evaluate the value of the expression when we substitute k for 5.
3 x 5 + 5 = 20. (remember multiply before add)

Real-life Example of Algebra

Evaluating Expressions Videos

Textbook Questions/Worksheets

Worded Problems Worksheet
Worded Problems Simple Worksheet
Worded Problems Simple Worksheet 2
Worded Problems Simple Worksheet 3
Worded Problems Simple Worksheet 4
Worded Problems Advanced Worksheet
Worded Problems Advanced Worksheet 2

My Maths 7

Ex 5D pg. 253 Q. 1-5

My Maths 8

Ex 4B pg. 185 Q. 1-8