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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 540 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 7t − 64 = 13. What is t?
  2. 2.Solve: n/2 + 19 = 26. What is n?
  3. 3.Meera is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  4. 4.Solve: 8p + 18 = 50. What is p?
  5. 5.Solve: 6p − 66 = 18. What is p?
  6. 6.Solve: 3t + 1 = 31. What is t?
  7. 7.Solve: 9m + 20 = 38. What is m?
  8. 8.Sneha thinks of a number, multiplies it by 9 and then adds 6. The result is 33. What is the number?
  9. 9.Solve: p/3 + 19 = 33. What is p?
  10. 10.Solve: 9(x + 4) = 144. What is x?
  11. 11.Sneha thinks of a number, multiplies it by 3 and then adds 4. The result is 28. What is the number?
  12. 12.Kabir thinks of a number, multiplies it by 4 and then adds 13. The result is 37. What is the number?
  13. 13.Solve: 2m − 2 = 16. What is m?
  14. 14.Solve: 6y − 22 = 26. What is y?
  15. 15.Solve: 7(m + 1) = 14. What is m?
  16. 16.Solve: p/2 + 2 = 11. What is p?
  17. 17.Solve: 5n + 12 = 32. What is n?
  18. 18.Solve: 3y − 7 = 8. What is y?
  19. 19.Meera thinks of a number, multiplies it by 3 and then adds 23. The result is 53. What is the number?
  20. 20.Solve: 4n + 10 = 38. What is n?
  21. 21.Sneha thinks of a number, multiplies it by 6 and then adds 22. The result is 58. What is the number?
  22. 22.Solve: 7t − 20 = 1. What is t?
  23. 23.Solve: 3x + 22 = 28. What is x?
  24. 24.Solve: 2m + 24 = 40. What is m?
  25. 25.Solve: 4t + 16 = 24. What is t?
  26. 26.Zoya thinks of a number, multiplies it by 8 and then adds 26. The result is 50. What is the number?
  27. 27.Solve: 6y + 15 = 45. What is y?
  28. 28.Solve: 5(p + 5) = 70. What is p?
  29. 29.Diya thinks of a number, multiplies it by 4 and then adds 3. The result is 19. What is the number?
  30. 30.Solve: 8(m + 1) = 32. What is m?
  31. 31.Solve: 9n − 100 = 35. What is n?
  32. 32.Aarav is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: n/3 + 14 = 24. What is n?
  34. 34.Dev thinks of a number, multiplies it by 8 and then adds 13. The result is 37. What is the number?
  35. 35.Solve: 9(x + 4) = 153. What is x?
  36. 36.Solve: 7y + 17 = 87. What is y?
  37. 37.Solve: 2t − 1 = 1. What is t?
  38. 38.Solve: t/9 + 6 = 17. What is t?
  39. 39.Solve: 7m − 18 = 31. What is m?
  40. 40.Solve: t/2 + 6 = 10. What is t?

Answer key

  1. 11
  2. 14
  3. 15
  4. 4
  5. 14
  6. 10
  7. 2
  8. 3
  9. 42
  10. 12
  11. 8
  12. 6
  13. 9
  14. 8
  15. 1
  16. 18
  17. 4
  18. 5
  19. 10
  20. 7
  21. 6
  22. 3
  23. 2
  24. 8
  25. 2
  26. 3
  27. 5
  28. 9
  29. 4
  30. 3
  31. 15
  32. 8
  33. 30
  34. 3
  35. 13
  36. 10
  37. 1
  38. 99
  39. 7
  40. 8

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