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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 612 · 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.Meera’s mother is twice as old as Meera. Their ages add up to 15 years. How old is Meera?
  2. 2.Solve: 4x − 1 = 3. What is x?
  3. 3.Diya is 1 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  4. 4.Solve: 7t − 7 = 14. What is t?
  5. 5.Solve: 2(m + 8) = 26. What is m?
  6. 6.Solve: 4m + 30 = 58. What is m?
  7. 7.Solve: 8t + 25 = 33. What is t?
  8. 8.Arjun thinks of a number, multiplies it by 2 and then adds 26. The result is 52. What is the number?
  9. 9.Joseph thinks of a number, multiplies it by 3 and then adds 19. The result is 40. What is the number?
  10. 10.Solve: 8m + 1 = 9. What is m?
  11. 11.Solve: 8m + 19 = 123. What is m?
  12. 12.Solve: 2y + 22 = 36. What is y?
  13. 13.Joseph thinks of a number, multiplies it by 4 and then adds 27. The result is 67. What is the number?
  14. 14.Arjun thinks of a number, multiplies it by 7 and then adds 16. The result is 100. What is the number?
  15. 15.Solve: 2y − 15 = 13. What is y?
  16. 16.Dev thinks of a number, multiplies it by 9 and then adds 17. The result is 35. What is the number?
  17. 17.Solve: 9(t + 3) = 45. What is t?
  18. 18.Solve: 3x − 10 = 32. What is x?
  19. 19.Solve: t/7 + 19 = 28. What is t?
  20. 20.Solve: x/8 + 3 = 12. What is x?
  21. 21.Joseph thinks of a number, multiplies it by 5 and then adds 16. The result is 46. What is the number?
  22. 22.Ishaan is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  23. 23.Solve: 9(n + 2) = 153. What is n?
  24. 24.Isha thinks of a number, multiplies it by 7 and then adds 17. The result is 122. What is the number?
  25. 25.Saanvi thinks of a number, multiplies it by 4 and then adds 24. The result is 76. What is the number?
  26. 26.Solve: n/4 + 4 = 8. What is n?
  27. 27.Saanvi thinks of a number, multiplies it by 3 and then adds 11. The result is 35. What is the number?
  28. 28.Solve: 4y − 1 = 7. What is y?
  29. 29.Solve: 8p + 8 = 16. What is p?
  30. 30.Solve: 7n − 15 = 6. What is n?
  31. 31.Solve: 7(m + 9) = 98. What is m?
  32. 32.Solve: 5y − 5 = 15. What is y?
  33. 33.Solve: 5p + 6 = 51. What is p?
  34. 34.Solve: 8(y + 6) = 120. What is y?
  35. 35.Solve: 8m − 5 = 19. What is m?
  36. 36.Solve: 5m + 5 = 50. What is m?
  37. 37.Solve: 2(x + 1) = 24. What is x?
  38. 38.Solve: m/5 + 4 = 12. What is m?
  39. 39.Solve: 9m + 8 = 134. What is m?
  40. 40.Solve: 9p + 10 = 37. What is p?

Answer key

  1. 5
  2. 1
  3. 11
  4. 3
  5. 5
  6. 7
  7. 1
  8. 13
  9. 7
  10. 1
  11. 13
  12. 7
  13. 10
  14. 12
  15. 14
  16. 2
  17. 2
  18. 14
  19. 63
  20. 72
  21. 6
  22. 14
  23. 15
  24. 15
  25. 13
  26. 16
  27. 8
  28. 2
  29. 1
  30. 3
  31. 5
  32. 4
  33. 9
  34. 9
  35. 3
  36. 9
  37. 11
  38. 40
  39. 14
  40. 3

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