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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 791 · 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: p/5 + 11 = 15. What is p?
  2. 2.Solve: 8n + 10 = 34. What is n?
  3. 3.Solve: 2m + 1 = 13. What is m?
  4. 4.Solve: y/7 + 17 = 29. What is y?
  5. 5.Solve: 4(y + 8) = 80. What is y?
  6. 6.Solve: 4p + 8 = 28. What is p?
  7. 7.Solve: x/9 + 3 = 13. What is x?
  8. 8.Solve: 2(p + 9) = 22. What is p?
  9. 9.Solve: 9n + 6 = 96. What is n?
  10. 10.Solve: 8(t + 2) = 80. What is t?
  11. 11.Rohan thinks of a number, multiplies it by 7 and then adds 9. The result is 16. What is the number?
  12. 12.Farhan thinks of a number, multiplies it by 9 and then adds 11. The result is 20. What is the number?
  13. 13.Riya is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  14. 14.Solve: 3x + 23 = 38. What is x?
  15. 15.Solve: 9y + 26 = 161. What is y?
  16. 16.Solve: 8y − 83 = 5. What is y?
  17. 17.Farhan thinks of a number, multiplies it by 3 and then adds 23. The result is 29. What is the number?
  18. 18.Karan is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  19. 19.Solve: 2x − 1 = 5. What is x?
  20. 20.Manav’s mother is four times as old as Manav. Their ages add up to 30 years. How old is Manav?
  21. 21.Solve: 8y − 10 = 6. What is y?
  22. 22.Solve: 5(x + 8) = 45. What is x?
  23. 23.Solve: 4x − 4 = 8. What is x?
  24. 24.Solve: 6n − 29 = 49. What is n?
  25. 25.Solve: 9p + 15 = 33. What is p?
  26. 26.Solve: 7n − 18 = 3. What is n?
  27. 27.Solve: m/3 + 20 = 35. What is m?
  28. 28.Solve: 8(m + 1) = 112. What is m?
  29. 29.Solve: 9x − 8 = 10. What is x?
  30. 30.Solve: n/8 + 5 = 20. What is n?
  31. 31.Rahul’s mother is twice as old as Rahul. Their ages add up to 18 years. How old is Rahul?
  32. 32.Solve: 8n + 22 = 78. What is n?
  33. 33.Meera is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  34. 34.Sneha is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  35. 35.Solve: 9(t + 1) = 54. What is t?
  36. 36.Solve: 2t + 25 = 55. What is t?
  37. 37.Diya thinks of a number, multiplies it by 5 and then adds 9. The result is 24. What is the number?
  38. 38.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 33 years. How old is Ishaan?
  39. 39.Manav’s mother is twice as old as Manav. Their ages add up to 36 years. How old is Manav?
  40. 40.Solve: 4m + 6 = 34. What is m?

Answer key

  1. 20
  2. 3
  3. 6
  4. 84
  5. 12
  6. 5
  7. 90
  8. 2
  9. 10
  10. 8
  11. 1
  12. 1
  13. 5
  14. 5
  15. 15
  16. 11
  17. 2
  18. 10
  19. 3
  20. 6
  21. 2
  22. 1
  23. 3
  24. 13
  25. 2
  26. 3
  27. 45
  28. 13
  29. 2
  30. 120
  31. 6
  32. 7
  33. 4
  34. 4
  35. 5
  36. 15
  37. 3
  38. 11
  39. 12
  40. 7

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