📚 Part 1: Understanding the Parts

1. In the expression 5x + 8, identify each part:

Variable: ___________

Coefficient: ___________

Constant: ___________

2. Which of these is the coefficient in the expression 7m - 3?

7

m

3

-3

3. Circle all the variables in these expressions:

4a + 9 2x - 7y + 1 15 + 3b

4. What is the constant term in 6n + 12?

6

n

12

6n

✏️ Part 2: Writing Expressions

5. Write an algebraic expression for "four times a number y":

Expression: ___________

6. Write an expression for "six more than three times a number x":

Expression: ___________

7. A packet of lollies costs $3, and each extra lolly costs 50 cents. Write an expression for the total cost if you buy n extra lollies:

8. Match each description to its algebraic expression:

Five less than a number k

Double a number p plus 7

A number w divided by 4

Ten more than twice a number t

2p + 7

k - 5

2t + 10

w ÷ 4

🎯 Part 3: Problem Solving

9. Sarah is y years old. Her brother is 3 years older than twice Sarah's age. Write an expression for her brother's age:

10. In the expression 9a + 2b - 5, identify:

How many variables are there? ___________

What is the coefficient of b? ___________

What is the constant term? ___________

11. Explain in your own words why we use letters (variables) in algebra:

Algebraic Expressions Fundamentals

Algebraic Expressions Fundamentals

📚 Part 1: Understanding the Parts

✏️ Part 2: Writing Expressions

🎯 Part 3: Problem Solving

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Maths Worksheets

Year 8 Maths Challenge

Year One English & Maths

Coding and Maths Exploration

ALIM Maths Acceleration Agenda

Everyday Money Maths

Year 4 Maths Placement Test

Migration Maths Journey

Functional Skills Maths Revision

Explore more free resources