MathsFreePrintable

Algebraic Expressions Introduction

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.

Algebraic Expressions Introduction worksheet preview
Algebraic Expressions Introduction

Algebraic Expressions Introduction

Algebraic expressions illustration

🔍 Part 1: Identifying Parts of Algebraic Expressions

1. In the expression 5x + 3, identify each part by circling the correct answer:

a) What is the variable?

5

x

3

b) What is the coefficient?

5

x

3

c) What is the constant?

5

x

3

2. For each expression below, identify the variables, coefficients, and constants:

a) 7y - 2

Variable(s): _________ Coefficient(s): _________ Constant(s): _________

b) 4a + 6b + 9

Variable(s): _________ Coefficient(s): _________ Constant(s): _________

c) 12 - 3m

Variable(s): _________ Coefficient(s): _________ Constant(s): _________

📝 Part 2: Writing Algebraic Expressions

3. Write an algebraic expression for each verbal description:

a) Five times a number: _________________

b) A number increased by 8: _________________

c) Three less than twice a number: _________________

d) Seven more than four times a number: _________________

4. Real-life scenarios - write algebraic expressions:

a) The cost of buying n movie tickets at $15 each: _________________

b) The total distance travelled if you walk x kilometres and then drive 25 kilometres: _________________

c) The temperature in Celsius if it drops by 3°C from t degrees: _________________

d) The total cost of p pies at $4.50 each plus a $2 delivery fee: _________________

🔗 Part 3: Matching Activity

5. Match each verbal phrase with its correct algebraic expression:
1. Six times a number
2. A number minus ten
3. Twelve plus three times a number
4. Half of a number
5. Eight decreased by a number
A. x - 10
B. 6x
C. 8 - x
D. 12 + 3x
E. x/2 or ½x

✅ Part 4: Understanding Check

6. Which of the following are algebraic expressions? Check all that apply:

3x + 7

15

2y - 4 = 10

5a + 2b

x = 8

4m - 1

7. True or False? Circle the correct answer:

a) In the expression 9x, the coefficient is 9.

True

False

b) A variable can represent any number.

True

False

c) Constants never change their value.

True

False

💭 Part 5: Explain Your Thinking

8. Explain the difference between a variable, coefficient, and constant in your own words:
9. Create your own algebraic expression and label its parts:

My expression: _________________________

10. Challenge: Write an algebraic expression for this scenario and explain your thinking:

"Sarah has some money. She spends $12 on lunch and then earns twice as much as she originally had from her part-time job. How much money does she have now?"

Expression: _________________________

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