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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 375 · 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: 9m + 23 = 149. What is m?
  2. 2.Solve: n/9 + 19 = 20. What is n?
  3. 3.Aditya thinks of a number, multiplies it by 6 and then adds 2. The result is 62. What is the number?
  4. 4.Solve: 2(m + 1) = 32. What is m?
  5. 5.Solve: y/2 + 3 = 13. What is y?
  6. 6.Vivaan thinks of a number, multiplies it by 7 and then adds 5. The result is 110. What is the number?
  7. 7.Solve: 5p + 1 = 46. What is p?
  8. 8.Solve: x/8 + 16 = 24. What is x?
  9. 9.Solve: 6m − 7 = 41. What is m?
  10. 10.Solve: 7p − 55 = 43. What is p?
  11. 11.Gurpreet thinks of a number, multiplies it by 9 and then adds 14. The result is 131. What is the number?
  12. 12.Solve: 7x − 63 = 28. What is x?
  13. 13.Solve: 2(y + 3) = 32. What is y?
  14. 14.Solve: 4n + 1 = 17. What is n?
  15. 15.Solve: 2(t + 7) = 22. What is t?
  16. 16.Vivaan thinks of a number, multiplies it by 2 and then adds 11. The result is 21. What is the number?
  17. 17.Kabir’s mother is four times as old as Kabir. Their ages add up to 50 years. How old is Kabir?
  18. 18.Solve: y/6 + 18 = 22. What is y?
  19. 19.Solve: 5n + 6 = 61. What is n?
  20. 20.Riya thinks of a number, multiplies it by 6 and then adds 15. The result is 105. What is the number?
  21. 21.Solve: 2(m + 2) = 22. What is m?
  22. 22.Solve: n/3 + 8 = 21. What is n?
  23. 23.Meera thinks of a number, multiplies it by 2 and then adds 13. The result is 31. What is the number?
  24. 24.Solve: 6(p + 8) = 138. What is p?
  25. 25.Tara thinks of a number, multiplies it by 3 and then adds 5. The result is 47. What is the number?
  26. 26.Solve: 5y − 31 = 14. What is y?
  27. 27.Kavya thinks of a number, multiplies it by 9 and then adds 7. The result is 124. What is the number?
  28. 28.Joseph thinks of a number, multiplies it by 7 and then adds 27. The result is 55. What is the number?
  29. 29.Solve: 5(n + 1) = 55. What is n?
  30. 30.Solve: x/2 + 13 = 23. What is x?
  31. 31.Solve: 9x − 35 = 64. What is x?
  32. 32.Solve: 7x − 7 = 21. What is x?
  33. 33.Meera’s mother is three times as old as Meera. Their ages add up to 16 years. How old is Meera?
  34. 34.Zoya thinks of a number, multiplies it by 2 and then adds 3. The result is 11. What is the number?
  35. 35.Solve: 2n − 1 = 3. What is n?
  36. 36.Solve: p/5 + 1 = 3. What is p?
  37. 37.Solve: 6(y + 4) = 102. What is y?
  38. 38.Solve: 6t − 2 = 16. What is t?
  39. 39.Ananya thinks of a number, multiplies it by 6 and then adds 7. The result is 25. What is the number?
  40. 40.Arjun thinks of a number, multiplies it by 3 and then adds 4. The result is 40. What is the number?

Answer key

  1. 14
  2. 9
  3. 10
  4. 15
  5. 20
  6. 15
  7. 9
  8. 64
  9. 8
  10. 14
  11. 13
  12. 13
  13. 13
  14. 4
  15. 4
  16. 5
  17. 10
  18. 24
  19. 11
  20. 15
  21. 9
  22. 39
  23. 9
  24. 15
  25. 14
  26. 9
  27. 13
  28. 4
  29. 10
  30. 20
  31. 11
  32. 4
  33. 4
  34. 4
  35. 2
  36. 10
  37. 13
  38. 3
  39. 3
  40. 12

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