MathsAges 13-15

Linear equations

Solve a linear equation by reversing addition and multiplication, then substitute your answer to check it. Review suitability for your learners before teaching.

New variation Try interactive challenge Browse templates

Age band:Ages 13-15 Ages 16-18

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

1. Solve 2x + 29 = 39.
2 · 29 · 39 · Linear equations
2. Solve 7x + 21 = 63.
7 · 21 · 63 · Linear equations
3. Solve 9x + 9 = 189.
9 · 9 · 189 · Linear equations
4. Solve 7x + 15 = 99.
7 · 15 · 99 · Linear equations
5. Solve 2x + 19 = 49.
2 · 19 · 49 · Linear equations
6. Solve 11x + 30 = 129.
11 · 30 · 129 · Linear equations
7. Solve 11x + 7 = 183.
11 · 7 · 183 · Linear equations
8. Solve 2x + 6 = 20.
2 · 6 · 20 · Linear equations
9. Solve 9x + 28 = 199.
9 · 28 · 199 · Linear equations
10. Solve 7x + 12 = 82.
7 · 12 · 82 · Linear equations
11. Solve 5x + 8 = 63.
5 · 8 · 63 · Linear equations
12. Solve 10x + 8 = 78.
10 · 8 · 78 · Linear equations

12 questions · Seed 53 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

1. Solve 2x + 29 = 39.
5
Subtract 29, then divide by 2. x = 5. Check: 2 × 5 + 29 = 39.
2. Solve 7x + 21 = 63.
6
Subtract 21, then divide by 7. x = 6. Check: 7 × 6 + 21 = 63.
3. Solve 9x + 9 = 189.
20
Subtract 9, then divide by 9. x = 20. Check: 9 × 20 + 9 = 189.
4. Solve 7x + 15 = 99.
12
Subtract 15, then divide by 7. x = 12. Check: 7 × 12 + 15 = 99.
5. Solve 2x + 19 = 49.
15
Subtract 19, then divide by 2. x = 15. Check: 2 × 15 + 19 = 49.
6. Solve 11x + 30 = 129.
9
Subtract 30, then divide by 11. x = 9. Check: 11 × 9 + 30 = 129.
7. Solve 11x + 7 = 183.
16
Subtract 7, then divide by 11. x = 16. Check: 11 × 16 + 7 = 183.
8. Solve 2x + 6 = 20.
7
Subtract 6, then divide by 2. x = 7. Check: 2 × 7 + 6 = 20.
9. Solve 9x + 28 = 199.
19
Subtract 28, then divide by 9. x = 19. Check: 9 × 19 + 28 = 199.
10. Solve 7x + 12 = 82.
10
Subtract 12, then divide by 7. x = 10. Check: 7 × 10 + 12 = 82.
11. Solve 5x + 8 = 63.
11
Subtract 8, then divide by 5. x = 11. Check: 5 × 11 + 8 = 63.
12. Solve 10x + 8 = 78.
7
Subtract 8, then divide by 10. x = 7. Check: 10 × 7 + 8 = 78.

12 questions · Seed 53 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 13-15

Linear equations

Take your time. Show your thinking.

1. Solve 2x + 29 = 39.
2 · 29 · 39 · Linear equations
2. Solve 7x + 21 = 63.
7 · 21 · 63 · Linear equations
3. Solve 9x + 9 = 189.
9 · 9 · 189 · Linear equations
4. Solve 7x + 15 = 99.
7 · 15 · 99 · Linear equations
5. Solve 2x + 19 = 49.
2 · 19 · 49 · Linear equations
6. Solve 11x + 30 = 129.
11 · 30 · 129 · Linear equations
7. Solve 11x + 7 = 183.
11 · 7 · 183 · Linear equations
8. Solve 2x + 6 = 20.
2 · 6 · 20 · Linear equations
9. Solve 9x + 28 = 199.
9 · 28 · 199 · Linear equations
10. Solve 7x + 12 = 82.
7 · 12 · 82 · Linear equations
11. Solve 5x + 8 = 63.
5 · 8 · 63 · Linear equations
12. Solve 10x + 8 = 78.
10 · 8 · 78 · Linear equations

12 questions · Seed 53 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 13-15

Linear equations

Answers and reasoning. Review before teaching.

1. Solve 2x + 29 = 39.
5
Subtract 29, then divide by 2. x = 5. Check: 2 × 5 + 29 = 39.
2. Solve 7x + 21 = 63.
6
Subtract 21, then divide by 7. x = 6. Check: 7 × 6 + 21 = 63.
3. Solve 9x + 9 = 189.
20
Subtract 9, then divide by 9. x = 20. Check: 9 × 20 + 9 = 189.
4. Solve 7x + 15 = 99.
12
Subtract 15, then divide by 7. x = 12. Check: 7 × 12 + 15 = 99.
5. Solve 2x + 19 = 49.
15
Subtract 19, then divide by 2. x = 15. Check: 2 × 15 + 19 = 49.
6. Solve 11x + 30 = 129.
9
Subtract 30, then divide by 11. x = 9. Check: 11 × 9 + 30 = 129.
7. Solve 11x + 7 = 183.
16
Subtract 7, then divide by 11. x = 16. Check: 11 × 16 + 7 = 183.
8. Solve 2x + 6 = 20.
7
Subtract 6, then divide by 2. x = 7. Check: 2 × 7 + 6 = 20.
9. Solve 9x + 28 = 199.
19
Subtract 28, then divide by 9. x = 19. Check: 9 × 19 + 28 = 199.
10. Solve 7x + 12 = 82.
10
Subtract 12, then divide by 7. x = 10. Check: 7 × 10 + 12 = 82.
11. Solve 5x + 8 = 63.
11
Subtract 8, then divide by 5. x = 11. Check: 5 × 11 + 8 = 63.
12. Solve 10x + 8 = 78.
7
Subtract 8, then divide by 10. x = 7. Check: 10 × 7 + 8 = 78.

12 questions · Seed 53 · Age guidance, not curriculum certification