MathsFreePrintable
Algebraic Expressions Fundamentals
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Algebraic Expressions Fundamentals
Identify parts of expressions, translate descriptions into algebra, and match equivalent descriptions. Show your thinking where useful.
Recognising parts of an expression
1.For the expression 8r + 11, state the variable, the coefficient of the variable, and the constant term.
2.Which number is the coefficient of q in 12q − 5?
- 12
- q
- 5
- −5
3.List every variable that appears in 7c + 2d − 9.
4.In the expression 4u + 13, which number is the constant term?
- 4
- u
- 13
- 4u
5.In −6x + 2, identify the coefficient of x and the constant term.
Writing algebraic expressions
6.Write an expression for nine times a number h.
7.Write an expression for seven less than four times a number m.
8.A bike hire costs $6 to start, plus $4 for each hour, h. Write an expression for the total cost in dollars.
9.Match each description to its algebraic expression.
- Three more than a number z
- Twice a number b, then subtract 9
- A number a multiplied by 5, then subtract 2
- A number c divided by 6
- Eleven less than a number p
- Three times a number t, then add 11
- c ÷ 6
- p − 11
- 3t + 11
- 5a − 2
- z + 3
- 2b − 9
Applying algebra
10.Manaia is x years old. Her cousin is five years younger than three times Manaia’s age. Write an expression for her cousin’s age.
11.For 10g − 4h + 7, state how many different variables it contains, the coefficient of h, and the constant term.
12.A theatre ticket costs $p. Write an expression for the cost of 5 tickets and a $3 booking fee.
13.In your own words, explain one reason letters are useful in algebra.
3 printable pages
Page 1
Page 2
Page 3
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
More Maths Worksheets
Year 7–8
Algebra Language Basics
Free
Year 8
Algebraic Properties Application
Free
Year 7–8
Number and Algebra Basics
Free
Year 9
Algebra Scavenger Hunt
Free
Year 7–8
Introduction to Algebraic Concepts
Free
Year 7–8
Unknown Angles Equations
Free
Year 7–8
Patterns to Algebra
Free
Year 11