MathsFreePrintable

Year 7 Linear Equations

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.

Year 7 Linear Equations worksheet preview

Year 7 Linear Equations

Mathematical equations illustration

🎯 WALT (We Are Learning To)

Solve one-variable linear equations and check our answers by substitution

✅ Success Criteria

I can solve equations like x + 5 = 12 and check my answer is correct

I can explain each step I take to solve an equation

I can substitute my answer back into the original equation

📚 Worked Example & Guided Practice

1. Worked Example: Solve x + 7 = 15

Step 1: x + 7 = 15

Step 2: x + 7 - 7 = 15 - 7 (subtract 7 from both sides)

Step 3: x = 8

Check: 8 + 7 = 15 ✓

2. Your Turn: Solve y + 4 = 11 (follow the steps above)
3. Your Turn: Solve 3m = 21

✏️ Independent Practice

4. Solve these equations and check your answers:

a) x + 6 = 14

b) 2a = 16

c) n - 5 = 12

5. Error Analysis: Sam solved x + 9 = 15 and got x = 24. What mistake did Sam make?
6. Word Problem: Maya has some stickers. After giving away 8 stickers, she has 17 left. How many stickers did Maya start with?

Write an equation: ________________

7. Word Problem: A packet of lollies costs $3. If Jake spent $15 on lollies, how many packets did he buy?

Write an equation: ________________

🌟 Extension (For Advanced Learners)

8. Challenge: Solve 2x + 3 = 15
9. Real-World Challenge: A mobile phone plan costs $25 per month plus $0.50 per GB of data. If your monthly bill was $32, how many GB of data did you use?

📋 Answer Key

2. y = 7 (Check: 7 + 4 = 11 ✓)

3. m = 7 (Check: 3 × 7 = 21 ✓)

4a. x = 8 (Check: 8 + 6 = 14 ✓)

4b. a = 8 (Check: 2 × 8 = 16 ✓)

4c. n = 17 (Check: 17 - 5 = 12 ✓)

5. Sam added 9 instead of subtracting 9 from both sides

6. s - 8 = 17, so s = 25 stickers

7. 3p = 15, so p = 5 packets

8. x = 6 (2x = 12, then x = 6)

9. 25 + 0.5d = 32, so d = 14 GB

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