MathsAges 16-18

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.

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Age band:Ages 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

1. Solve 11x + 28 = 182.
11 · 28 · 182 · Linear equations
2. Solve 2x + 13 = 53.
2 · 13 · 53 · Linear equations
3. Solve 11x + 24 = 112.
11 · 24 · 112 · Linear equations
4. Solve 3x + 8 = 20.
3 · 8 · 20 · Linear equations
5. Solve 9x + 13 = 157.
9 · 13 · 157 · Linear equations
6. Solve 2x + 13 = 39.
2 · 13 · 39 · Linear equations
7. Solve 6x + 28 = 136.
6 · 28 · 136 · Linear equations
8. Solve 6x + 30 = 60.
6 · 30 · 60 · Linear equations
9. Solve 2x + 25 = 63.
2 · 25 · 63 · Linear equations
10. Solve 6x + 8 = 20.
6 · 8 · 20 · Linear equations
11. Solve 3x + 18 = 33.
3 · 18 · 33 · Linear equations
12. Solve 10x + 13 = 123.
10 · 13 · 123 · Linear equations

12 questions · Seed 104735 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

1. Solve 11x + 28 = 182.
14
Subtract 28, then divide by 11. x = 14. Check: 11 × 14 + 28 = 182.
2. Solve 2x + 13 = 53.
20
Subtract 13, then divide by 2. x = 20. Check: 2 × 20 + 13 = 53.
3. Solve 11x + 24 = 112.
8
Subtract 24, then divide by 11. x = 8. Check: 11 × 8 + 24 = 112.
4. Solve 3x + 8 = 20.
4
Subtract 8, then divide by 3. x = 4. Check: 3 × 4 + 8 = 20.
5. Solve 9x + 13 = 157.
16
Subtract 13, then divide by 9. x = 16. Check: 9 × 16 + 13 = 157.
6. Solve 2x + 13 = 39.
13
Subtract 13, then divide by 2. x = 13. Check: 2 × 13 + 13 = 39.
7. Solve 6x + 28 = 136.
18
Subtract 28, then divide by 6. x = 18. Check: 6 × 18 + 28 = 136.
8. Solve 6x + 30 = 60.
5
Subtract 30, then divide by 6. x = 5. Check: 6 × 5 + 30 = 60.
9. Solve 2x + 25 = 63.
19
Subtract 25, then divide by 2. x = 19. Check: 2 × 19 + 25 = 63.
10. Solve 6x + 8 = 20.
2
Subtract 8, then divide by 6. x = 2. Check: 6 × 2 + 8 = 20.
11. Solve 3x + 18 = 33.
5
Subtract 18, then divide by 3. x = 5. Check: 3 × 5 + 18 = 33.
12. Solve 10x + 13 = 123.
11
Subtract 13, then divide by 10. x = 11. Check: 10 × 11 + 13 = 123.

12 questions · Seed 104735 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Linear equations

Take your time. Show your thinking.

1. Solve 11x + 28 = 182.
11 · 28 · 182 · Linear equations
2. Solve 2x + 13 = 53.
2 · 13 · 53 · Linear equations
3. Solve 11x + 24 = 112.
11 · 24 · 112 · Linear equations
4. Solve 3x + 8 = 20.
3 · 8 · 20 · Linear equations
5. Solve 9x + 13 = 157.
9 · 13 · 157 · Linear equations
6. Solve 2x + 13 = 39.
2 · 13 · 39 · Linear equations
7. Solve 6x + 28 = 136.
6 · 28 · 136 · Linear equations
8. Solve 6x + 30 = 60.
6 · 30 · 60 · Linear equations
9. Solve 2x + 25 = 63.
2 · 25 · 63 · Linear equations
10. Solve 6x + 8 = 20.
6 · 8 · 20 · Linear equations
11. Solve 3x + 18 = 33.
3 · 18 · 33 · Linear equations
12. Solve 10x + 13 = 123.
10 · 13 · 123 · Linear equations

12 questions · Seed 104735 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Linear equations

Answers and reasoning. Review before teaching.

1. Solve 11x + 28 = 182.
14
Subtract 28, then divide by 11. x = 14. Check: 11 × 14 + 28 = 182.
2. Solve 2x + 13 = 53.
20
Subtract 13, then divide by 2. x = 20. Check: 2 × 20 + 13 = 53.
3. Solve 11x + 24 = 112.
8
Subtract 24, then divide by 11. x = 8. Check: 11 × 8 + 24 = 112.
4. Solve 3x + 8 = 20.
4
Subtract 8, then divide by 3. x = 4. Check: 3 × 4 + 8 = 20.
5. Solve 9x + 13 = 157.
16
Subtract 13, then divide by 9. x = 16. Check: 9 × 16 + 13 = 157.
6. Solve 2x + 13 = 39.
13
Subtract 13, then divide by 2. x = 13. Check: 2 × 13 + 13 = 39.
7. Solve 6x + 28 = 136.
18
Subtract 28, then divide by 6. x = 18. Check: 6 × 18 + 28 = 136.
8. Solve 6x + 30 = 60.
5
Subtract 30, then divide by 6. x = 5. Check: 6 × 5 + 30 = 60.
9. Solve 2x + 25 = 63.
19
Subtract 25, then divide by 2. x = 19. Check: 2 × 19 + 25 = 63.
10. Solve 6x + 8 = 20.
2
Subtract 8, then divide by 6. x = 2. Check: 6 × 2 + 8 = 20.
11. Solve 3x + 18 = 33.
5
Subtract 18, then divide by 3. x = 5. Check: 3 × 5 + 18 = 33.
12. Solve 10x + 13 = 123.
11
Subtract 13, then divide by 10. x = 11. Check: 10 × 11 + 13 = 123.

12 questions · Seed 104735 · Age guidance, not curriculum certification