MathsFreePrintable
Algebraic Expressions Building Blocks
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 Building Blocks
Read each question carefully. Show working where needed and simplify expressions by collecting like terms.
Recognising the parts
1.In 8p + 11, which number is the constant term?
- 8
- p
- 11
- 8p
2.Which option lists all the variables in 6r − 3s + 12?
- 6 and 3
- r and s
- r, s and 12
- − and +
3.Which symbols are the operators in the expression 9m + 4n − 7?
- 9 and 4
- m and n
- + and −
- 9m and 4n
4.Match each term to its coefficient. The coefficient is the number multiplying the variable.
- −5a
- 12b
- c
- −3d
- 12
- −3
- 1
- −5
5.In 4x + 9y − 2x + 3 + 5y, write each group of like terms.
Writing and simplifying expressions
6.Write an algebraic expression for a number k multiplied by 7, then increased by 5.
7.A market stall sells p packets of crackers for $4 each and j jars of jam for $6 each. Write an expression for the total cost in dollars.
8.Simplify 7x + 5x − 4.
9.Simplify 8a − 3a + 2b + 6b.
10.Simplify 6 + 5m − 8 + 3m.
11.Simplify 3q + 4 − 2q + 9 + q.
12.A rectangle has length (3x + 2) cm and width (x + 4) cm. Write and simplify an expression for its perimeter.
13.Nathan has t stickers. Ruben has 5 fewer stickers than Nathan. Write a simplified expression for the number of stickers they have altogether.
Using algebra
14.A number n is multiplied by 3, then 8 is subtracted. Write the expression and find its value when n = 6.
15.Explain one way an algebraic expression can be useful when a quantity changes. Give a specific example.
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