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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 278 · 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: 8m + 30 = 102. What is m?
  2. 2.Solve: 8(p + 5) = 144. What is p?
  3. 3.Solve: x/3 + 9 = 10. What is x?
  4. 4.Solve: 9x − 17 = 55. What is x?
  5. 5.Solve: 2p + 3 = 21. What is p?
  6. 6.Saanvi thinks of a number, multiplies it by 9 and then adds 27. The result is 126. What is the number?
  7. 7.Solve: 3n + 1 = 34. What is n?
  8. 8.Solve: 5y − 5 = 20. What is y?
  9. 9.Aditya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  10. 10.Solve: 6y − 4 = 2. What is y?
  11. 11.Solve: m/5 + 17 = 28. What is m?
  12. 12.Manav thinks of a number, multiplies it by 6 and then adds 10. The result is 100. What is the number?
  13. 13.Solve: 8y − 7 = 57. What is y?
  14. 14.Solve: 4x + 14 = 34. What is x?
  15. 15.Solve: 2x − 6 = 14. What is x?
  16. 16.Solve: 9n + 14 = 113. What is n?
  17. 17.Solve: 8(y + 5) = 48. What is y?
  18. 18.Solve: n/6 + 18 = 30. What is n?
  19. 19.Solve: x/7 + 16 = 28. What is x?
  20. 20.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 20 years. How old is Vivaan?
  21. 21.Solve: 3(t + 8) = 51. What is t?
  22. 22.Farhan thinks of a number, multiplies it by 2 and then adds 11. The result is 23. What is the number?
  23. 23.Dev is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  24. 24.Solve: m/5 + 8 = 22. What is m?
  25. 25.Solve: m/2 + 5 = 12. What is m?
  26. 26.Dev thinks of a number, multiplies it by 4 and then adds 13. The result is 33. What is the number?
  27. 27.Solve: 8m − 2 = 62. What is m?
  28. 28.Kabir thinks of a number, multiplies it by 5 and then adds 23. The result is 48. What is the number?
  29. 29.Solve: 8m − 7 = 57. What is m?
  30. 30.Aarav thinks of a number, multiplies it by 8 and then adds 25. The result is 105. What is the number?
  31. 31.Solve: 6x − 12 = 36. What is x?
  32. 32.Solve: t/4 + 7 = 22. What is t?
  33. 33.Solve: x/5 + 17 = 32. What is x?
  34. 34.Solve: 2x + 29 = 43. What is x?
  35. 35.Solve: m/4 + 5 = 12. What is m?
  36. 36.Solve: 8(n + 2) = 80. What is n?
  37. 37.Karan thinks of a number, multiplies it by 5 and then adds 11. The result is 16. What is the number?
  38. 38.Diya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  39. 39.Rohan is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  40. 40.Solve: 2m + 29 = 33. What is m?

Answer key

  1. 9
  2. 13
  3. 3
  4. 8
  5. 9
  6. 11
  7. 11
  8. 5
  9. 5
  10. 1
  11. 55
  12. 15
  13. 8
  14. 5
  15. 10
  16. 11
  17. 1
  18. 72
  19. 84
  20. 4
  21. 9
  22. 6
  23. 13
  24. 70
  25. 14
  26. 5
  27. 8
  28. 5
  29. 8
  30. 10
  31. 8
  32. 60
  33. 75
  34. 7
  35. 28
  36. 8
  37. 1
  38. 14
  39. 15
  40. 2

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