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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 280 · 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: t/8 + 17 = 26. What is t?
  2. 2.Solve: 4(n + 7) = 88. What is n?
  3. 3.Arjun thinks of a number, multiplies it by 8 and then adds 4. The result is 44. What is the number?
  4. 4.Riya thinks of a number, multiplies it by 2 and then adds 3. The result is 11. What is the number?
  5. 5.Solve: 4p + 3 = 47. What is p?
  6. 6.Solve: 3m − 4 = 38. What is m?
  7. 7.Solve: 8n + 2 = 42. What is n?
  8. 8.Solve: 4(p + 7) = 44. What is p?
  9. 9.Solve: 4y − 20 = 28. What is y?
  10. 10.Rohan’s mother is four times as old as Rohan. Their ages add up to 70 years. How old is Rohan?
  11. 11.Solve: 2m − 27 = 3. What is m?
  12. 12.Solve: x/2 + 1 = 5. What is x?
  13. 13.Solve: 7t + 29 = 113. What is t?
  14. 14.Solve: 7n + 22 = 57. What is n?
  15. 15.Solve: 6n + 4 = 40. What is n?
  16. 16.Solve: 3y − 9 = 9. What is y?
  17. 17.Solve: 8t − 40 = 32. What is t?
  18. 18.Nisha’s mother is twice as old as Nisha. Their ages add up to 27 years. How old is Nisha?
  19. 19.Solve: 8(m + 7) = 104. What is m?
  20. 20.Solve: 2(m + 1) = 32. What is m?
  21. 21.Solve: t/6 + 16 = 17. What is t?
  22. 22.Solve: m/8 + 3 = 10. What is m?
  23. 23.Solve: y/7 + 13 = 16. What is y?
  24. 24.Farhan thinks of a number, multiplies it by 7 and then adds 30. The result is 128. What is the number?
  25. 25.Solve: 7x + 14 = 49. What is x?
  26. 26.Kavya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: 5m − 32 = 33. What is m?
  28. 28.Solve: 7t − 69 = 29. What is t?
  29. 29.Solve: n/3 + 17 = 31. What is n?
  30. 30.Solve: 6p + 14 = 68. What is p?
  31. 31.Solve: 9x − 6 = 3. What is x?
  32. 32.Solve: 7x + 21 = 126. What is x?
  33. 33.Solve: x/4 + 20 = 26. What is x?
  34. 34.Aditya thinks of a number, multiplies it by 9 and then adds 20. The result is 146. What is the number?
  35. 35.Meera’s mother is twice as old as Meera. Their ages add up to 42 years. How old is Meera?
  36. 36.Zoya thinks of a number, multiplies it by 8 and then adds 14. The result is 102. What is the number?
  37. 37.Solve: 2y − 6 = 18. What is y?
  38. 38.Farhan’s mother is four times as old as Farhan. Their ages add up to 20 years. How old is Farhan?
  39. 39.Solve: 6m − 3 = 3. What is m?
  40. 40.Solve: 5x + 18 = 48. What is x?

Answer key

  1. 72
  2. 15
  3. 5
  4. 4
  5. 11
  6. 14
  7. 5
  8. 4
  9. 12
  10. 14
  11. 15
  12. 8
  13. 12
  14. 5
  15. 6
  16. 6
  17. 9
  18. 9
  19. 6
  20. 15
  21. 6
  22. 56
  23. 21
  24. 14
  25. 5
  26. 6
  27. 13
  28. 14
  29. 42
  30. 9
  31. 1
  32. 15
  33. 24
  34. 14
  35. 14
  36. 11
  37. 12
  38. 4
  39. 1
  40. 6

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