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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 1 · 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: m/5 + 8 = 18. What is m?
  2. 2.Solve: 4t + 10 = 22. What is t?
  3. 3.Solve: 7(n + 5) = 70. What is n?
  4. 4.Solve: p/3 + 2 = 11. What is p?
  5. 5.Ishaan thinks of a number, multiplies it by 4 and then adds 16. The result is 64. What is the number?
  6. 6.Solve: 7n − 38 = 11. What is n?
  7. 7.Solve: 4p − 5 = 19. What is p?
  8. 8.Solve: 4m + 27 = 51. What is m?
  9. 9.Solve: 9(p + 8) = 117. What is p?
  10. 10.Solve: 4p − 1 = 3. What is p?
  11. 11.Solve: 7m − 39 = 59. What is m?
  12. 12.Solve: 8(m + 6) = 56. What is m?
  13. 13.Saanvi thinks of a number, multiplies it by 9 and then adds 25. The result is 151. What is the number?
  14. 14.Aditya’s mother is four times as old as Aditya. Their ages add up to 30 years. How old is Aditya?
  15. 15.Solve: 2(n + 6) = 30. What is n?
  16. 16.Solve: 3(m + 2) = 33. What is m?
  17. 17.Solve: 9t + 30 = 75. What is t?
  18. 18.Kabir’s mother is four times as old as Kabir. Their ages add up to 75 years. How old is Kabir?
  19. 19.Solve: n/5 + 5 = 18. What is n?
  20. 20.Solve: 3y + 19 = 31. What is y?
  21. 21.Solve: 2x − 19 = 9. What is x?
  22. 22.Solve: 4x + 12 = 40. What is x?
  23. 23.Dev thinks of a number, multiplies it by 9 and then adds 22. The result is 121. What is the number?
  24. 24.Solve: y/8 + 18 = 29. What is y?
  25. 25.Kabir thinks of a number, multiplies it by 3 and then adds 4. The result is 34. What is the number?
  26. 26.Solve: 6(t + 2) = 18. What is t?
  27. 27.Solve: 8t − 9 = 7. What is t?
  28. 28.Vivaan is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  29. 29.Solve: y/5 + 6 = 18. What is y?
  30. 30.Isha thinks of a number, multiplies it by 9 and then adds 20. The result is 47. What is the number?
  31. 31.Solve: 6(t + 6) = 96. What is t?
  32. 32.Kabir thinks of a number, multiplies it by 9 and then adds 7. The result is 52. What is the number?
  33. 33.Solve: t/2 + 14 = 23. What is t?
  34. 34.Solve: y/2 + 17 = 28. What is y?
  35. 35.Arjun thinks of a number, multiplies it by 4 and then adds 8. The result is 56. What is the number?
  36. 36.Solve: 4p + 6 = 34. What is p?
  37. 37.Solve: p/4 + 7 = 10. What is p?
  38. 38.Solve: 7p + 9 = 65. What is p?
  39. 39.Meera thinks of a number, multiplies it by 4 and then adds 20. The result is 60. What is the number?
  40. 40.Solve: 9y + 8 = 107. What is y?

Answer key

  1. 50
  2. 3
  3. 5
  4. 27
  5. 12
  6. 7
  7. 6
  8. 6
  9. 5
  10. 1
  11. 14
  12. 1
  13. 14
  14. 6
  15. 9
  16. 9
  17. 5
  18. 15
  19. 65
  20. 4
  21. 14
  22. 7
  23. 11
  24. 88
  25. 10
  26. 1
  27. 2
  28. 10
  29. 60
  30. 3
  31. 10
  32. 5
  33. 18
  34. 22
  35. 12
  36. 7
  37. 12
  38. 8
  39. 10
  40. 11

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