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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 418 · 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.Rahul is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  2. 2.Rahul thinks of a number, multiplies it by 6 and then adds 29. The result is 71. What is the number?
  3. 3.Solve: p/2 + 8 = 15. What is p?
  4. 4.Solve: 5m − 4 = 1. What is m?
  5. 5.Joseph is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  6. 6.Solve: p/3 + 4 = 10. What is p?
  7. 7.Vivaan thinks of a number, multiplies it by 4 and then adds 29. The result is 81. What is the number?
  8. 8.Solve: 8m − 12 = 12. What is m?
  9. 9.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 42 years. How old is Gurpreet?
  10. 10.Solve: 9m + 11 = 56. What is m?
  11. 11.Riya thinks of a number, multiplies it by 9 and then adds 3. The result is 48. What is the number?
  12. 12.Solve: 3(y + 8) = 30. What is y?
  13. 13.Solve: 7t − 6 = 1. What is t?
  14. 14.Solve: 6(p + 9) = 138. What is p?
  15. 15.Solve: 5y − 1 = 4. What is y?
  16. 16.Solve: m/2 + 3 = 18. What is m?
  17. 17.Solve: 4y + 30 = 86. What is y?
  18. 18.Solve: 9(n + 7) = 162. What is n?
  19. 19.Solve: 4y − 10 = 6. What is y?
  20. 20.Solve: 5n + 1 = 61. What is n?
  21. 21.Solve: 6(y + 6) = 126. What is y?
  22. 22.Diya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  23. 23.Solve: 6n + 2 = 86. What is n?
  24. 24.Solve: 2t − 24 = 6. What is t?
  25. 25.Solve: 6y + 1 = 25. What is y?
  26. 26.Solve: m/3 + 4 = 5. What is m?
  27. 27.Solve: 9n − 13 = 95. What is n?
  28. 28.Solve: 7(p + 6) = 49. What is p?
  29. 29.Solve: 2m − 3 = 21. What is m?
  30. 30.Solve: 2(x + 9) = 28. What is x?
  31. 31.Solve: 8(y + 6) = 64. What is y?
  32. 32.Solve: 3m + 5 = 14. What is m?
  33. 33.Solve: m/9 + 18 = 22. What is m?
  34. 34.Solve: 9x + 2 = 29. What is x?
  35. 35.Solve: 7m − 6 = 8. What is m?
  36. 36.Solve: 4t + 7 = 27. What is t?
  37. 37.Riya is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  38. 38.Solve: 3n − 16 = 23. What is n?
  39. 39.Solve: 3p + 14 = 29. What is p?
  40. 40.Saanvi thinks of a number, multiplies it by 5 and then adds 15. The result is 30. What is the number?

Answer key

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

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