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Year 8 Algebra Worksheet

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Year 8 Algebra Worksheet worksheet preview

Year 8 Algebra Worksheet

Algebra symbols and equations

📚 Part 1: Simplifying Expressions

WALT: We Are Learning To simplify algebraic expressions by collecting like terms

1. Simplify: 3x + 5x - 2x
2. Simplify: 4a + 3b - 2a + 5b
3. Which expression is equivalent to 2x + 3x + x?

5x

6x

2x³

6x³

4. Extension: Simplify: 3(2x + 4) - 5x

🔍 Part 2: Solving Linear Equations

WALT: We Are Learning To solve simple linear equations using inverse operations

5. Solve: x + 7 = 12

x = _______

6. Solve: 3y = 21

Show your working:

y = _______

7. Which value of n makes this equation true: 2n - 3 = 9?

n = 3

n = 6

n = 9

n = 12

📝 Part 3: Writing Formulae

WALT: We Are Learning To write algebraic formulae from word problems

8. Write a formula for the perimeter (P) of a rectangle with length l and width w.

P = _______________

9. Cinema tickets cost £8 each. Write a formula for the total cost (C) of buying n tickets.

C = _______________

10. Extension: A mobile phone contract costs £25 per month plus £0.10 for each text message sent. Write a formula for the monthly cost (M) when t text messages are sent.

📋 Success Criteria & Support

I can show I'm successful when I:

Collect like terms correctly

Use inverse operations to solve equations

Write formulae from word problems

Show clear working out

Differentiation Support:

Green Level: Focus on questions 1, 2, 5, 8

Amber Level: Complete questions 1-7, 8-9

Red Level: Attempt all questions including extensions

Dyslexia-Friendly Tips:

• Use a ruler to follow each line

• Cover questions below the one you're working on

• Read questions aloud quietly

• Use coloured pens to highlight key words

✅ Answer Key

Part 1:

1. 6x

2. 2a + 8b

3. 6x

4. x + 12

Part 2:

5. x = 5

6. y = 7

7. n = 6

Part 3:

8. P = 2l + 2w (or P = 2(l + w))

9. C = 8n

10. M = 25 + 0.1t

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