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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 353 · 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.Zoya’s mother is twice as old as Zoya. Their ages add up to 45 years. How old is Zoya?
  2. 2.Solve: 9m − 5 = 22. What is m?
  3. 3.Solve: 4n − 2 = 34. What is n?
  4. 4.Solve: 8m + 11 = 51. What is m?
  5. 5.Solve: 2n − 8 = 2. What is n?
  6. 6.Solve: 4t + 4 = 44. What is t?
  7. 7.Solve: 6m − 6 = 30. What is m?
  8. 8.Solve: 8m + 21 = 93. What is m?
  9. 9.Rohan is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  10. 10.Solve: 4y − 13 = 35. What is y?
  11. 11.Solve: x/2 + 12 = 19. What is x?
  12. 12.Kabir is 3 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  13. 13.Isha thinks of a number, multiplies it by 4 and then adds 19. The result is 35. What is the number?
  14. 14.Solve: 2(x + 7) = 38. What is x?
  15. 15.Solve: 3n + 7 = 46. What is n?
  16. 16.Kavya is 5 years older than a cousin. Their ages add up to 23 years. How old is the cousin?
  17. 17.Solve: 3x − 2 = 22. What is x?
  18. 18.Solve: x/3 + 15 = 23. What is x?
  19. 19.Solve: 3y − 24 = 15. What is y?
  20. 20.Solve: 3n − 38 = 7. What is n?
  21. 21.Solve: 5m + 15 = 65. What is m?
  22. 22.Solve: 6m + 1 = 91. What is m?
  23. 23.Solve: 2y + 17 = 25. What is y?
  24. 24.Solve: 4y + 23 = 55. What is y?
  25. 25.Solve: 2p + 10 = 32. What is p?
  26. 26.Solve: 5p + 10 = 30. What is p?
  27. 27.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 30 years. How old is Vivaan?
  28. 28.Solve: n/2 + 1 = 8. What is n?
  29. 29.Solve: 9x + 20 = 83. What is x?
  30. 30.Priya thinks of a number, multiplies it by 3 and then adds 8. The result is 23. What is the number?
  31. 31.Riya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  32. 32.Solve: 2n + 1 = 15. What is n?
  33. 33.Solve: 5y − 7 = 8. What is y?
  34. 34.Solve: 4x + 21 = 65. What is x?
  35. 35.Solve: 7n − 48 = 29. What is n?
  36. 36.Solve: 9(n + 2) = 135. What is n?
  37. 37.Solve: 7(n + 4) = 49. What is n?
  38. 38.Solve: 3y + 5 = 50. What is y?
  39. 39.Solve: x/5 + 4 = 9. What is x?
  40. 40.Solve: 3(m + 3) = 12. What is m?

Answer key

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

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