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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 970 · 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: 2x − 2 = 2. What is x?
  2. 2.Solve: 8m + 14 = 54. What is m?
  3. 3.Solve: p/4 + 15 = 18. What is p?
  4. 4.Solve: 4m − 15 = 1. What is m?
  5. 5.Kabir thinks of a number, multiplies it by 6 and then adds 25. The result is 115. What is the number?
  6. 6.Solve: 3(t + 7) = 36. What is t?
  7. 7.Solve: 9y − 2 = 88. What is y?
  8. 8.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 45 years. How old is Ishaan?
  9. 9.Kavya’s mother is four times as old as Kavya. Their ages add up to 20 years. How old is Kavya?
  10. 10.Solve: n/4 + 1 = 6. What is n?
  11. 11.Solve: 6x + 8 = 86. What is x?
  12. 12.Solve: 8y + 5 = 45. What is y?
  13. 13.Pooja thinks of a number, multiplies it by 9 and then adds 9. The result is 81. What is the number?
  14. 14.Solve: 5y + 8 = 18. What is y?
  15. 15.Riya is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  16. 16.Ananya’s mother is twice as old as Ananya. Their ages add up to 15 years. How old is Ananya?
  17. 17.Solve: p/4 + 14 = 21. What is p?
  18. 18.Solve: x/7 + 1 = 11. What is x?
  19. 19.Solve: 7y − 3 = 74. What is y?
  20. 20.Rohan thinks of a number, multiplies it by 5 and then adds 23. The result is 78. What is the number?
  21. 21.Pooja thinks of a number, multiplies it by 5 and then adds 7. The result is 62. What is the number?
  22. 22.Priya’s mother is four times as old as Priya. Their ages add up to 60 years. How old is Priya?
  23. 23.Solve: 9m − 37 = 17. What is m?
  24. 24.Solve: 3p − 8 = 1. What is p?
  25. 25.Solve: m/3 + 9 = 18. What is m?
  26. 26.Solve: p/6 + 16 = 23. What is p?
  27. 27.Solve: 9(p + 4) = 135. What is p?
  28. 28.Solve: 6(m + 7) = 72. What is m?
  29. 29.Solve: p/6 + 4 = 12. What is p?
  30. 30.Solve: 3m + 11 = 20. What is m?
  31. 31.Solve: 2n − 3 = 19. What is n?
  32. 32.Solve: 8x − 51 = 5. What is x?
  33. 33.Solve: 9y − 4 = 104. What is y?
  34. 34.Rohan thinks of a number, multiplies it by 9 and then adds 14. The result is 68. What is the number?
  35. 35.Solve: 9(n + 6) = 81. What is n?
  36. 36.Solve: x/6 + 1 = 13. What is x?
  37. 37.Solve: 9y + 16 = 97. What is y?
  38. 38.Meera thinks of a number, multiplies it by 9 and then adds 3. The result is 57. What is the number?
  39. 39.Solve: 5x − 1 = 19. What is x?
  40. 40.Aarav thinks of a number, multiplies it by 3 and then adds 23. The result is 44. What is the number?

Answer key

  1. 2
  2. 5
  3. 12
  4. 4
  5. 15
  6. 5
  7. 10
  8. 9
  9. 4
  10. 20
  11. 13
  12. 5
  13. 8
  14. 2
  15. 12
  16. 5
  17. 28
  18. 70
  19. 11
  20. 11
  21. 11
  22. 12
  23. 6
  24. 3
  25. 27
  26. 42
  27. 11
  28. 5
  29. 48
  30. 3
  31. 11
  32. 7
  33. 12
  34. 6
  35. 3
  36. 72
  37. 9
  38. 6
  39. 4
  40. 7

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