FreePrintable

Year 8 Algebra Worksheet

A free, printable general worksheet ready for your classroom. Download instantly, print, and hand out to your students — no account needed.

Year 8 Algebra Worksheet worksheet preview
Year 8 Algebra Worksheet

Year 8 Algebra Worksheet

Algebra symbols and equations

📐 Part 1: Simplifying Expressions

1. Simplify the following expressions:

a) 3x + 5x - 2x = ___________

b) 7y - 3y + 4y = ___________

c) 2a + 3b - a + 5b = ___________

2. Expand the following brackets:

a) 3(x + 4) = ___________

b) 5(2y - 3) = ___________

c) -2(3m + 7) = ___________

🔍 Part 2: Solving Linear Equations

3. Solve for x. Show all working:

a) x + 7 = 15

b) 3x = 21

c) 2x - 5 = 11

d) 4x + 3 = 19

4. Solve for y. Show all working:

a) 5y - 8 = 2y + 7

b) 3(y + 2) = 18

📊 Part 3: Multiple Choice

5. Which expression is equivalent to 4x + 8?

4(x + 2)

4(x + 8)

2(2x + 4)

Both A and C

6. If 3x - 7 = 14, what is the value of x?

x = 5

x = 7

x = 21

x = 3

7. Which of the following are like terms? (Select all that apply)

3x and 5x

2y and 7y²

4a and -6a

8 and 12

📝 Part 4: Word Problems

8. Sarah has x dollars. Her brother has $15 more than Sarah. Together they have $47. Write an equation and solve to find how much money Sarah has.

Equation: _________________________

Answer: Sarah has $__________

9. The perimeter of a rectangle is 28 metres. The length is 3 metres more than the width. Find the dimensions of the rectangle.

Let w = width in metres

Length = ___________

Equation: _________________________

Width = __________ metres

Length = __________ metres

10. A mobile phone plan costs $25 per month plus $0.50 for each text message sent. If Jake's monthly bill was $37, how many text messages did he send?

Let t = number of text messages

Equation: _________________________

Answer: Jake sent __________ text messages

🎯 Part 5: Challenge Questions

11. Solve for x: 2(3x - 4) = 4(x + 1)
12. If 5x + 3y = 23 and x = 2, find the value of y.
13. Write an algebraic expression for: "Three times a number, decreased by 8, equals twice the number plus 5"

About This Worksheet

Free Download

No sign-up, no email, no paywall. Just download and print.

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