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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 261 · 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: m/7 + 4 = 16. What is m?
  2. 2.Solve: 4n + 26 = 42. What is n?
  3. 3.Solve: y/2 + 1 = 10. What is y?
  4. 4.Solve: 9n − 35 = 19. What is n?
  5. 5.Kabir thinks of a number, multiplies it by 5 and then adds 21. The result is 36. What is the number?
  6. 6.Solve: t/5 + 4 = 7. What is t?
  7. 7.Solve: 5t + 5 = 45. What is t?
  8. 8.Solve: 6(x + 6) = 84. What is x?
  9. 9.Solve: 5y + 1 = 51. What is y?
  10. 10.Rahul thinks of a number, multiplies it by 8 and then adds 9. The result is 33. What is the number?
  11. 11.Farhan thinks of a number, multiplies it by 7 and then adds 26. The result is 54. What is the number?
  12. 12.Solve: m/6 + 18 = 21. What is m?
  13. 13.Diya thinks of a number, multiplies it by 4 and then adds 12. The result is 64. What is the number?
  14. 14.Solve: 7t − 3 = 4. What is t?
  15. 15.Solve: 3m − 8 = 34. What is m?
  16. 16.Solve: 3n − 7 = 2. What is n?
  17. 17.Solve: 4m + 12 = 20. What is m?
  18. 18.Riya’s mother is four times as old as Riya. Their ages add up to 20 years. How old is Riya?
  19. 19.Solve: 6(x + 5) = 114. What is x?
  20. 20.Solve: 7t + 9 = 16. What is t?
  21. 21.Solve: 2n + 17 = 39. What is n?
  22. 22.Karan thinks of a number, multiplies it by 6 and then adds 12. The result is 78. What is the number?
  23. 23.Rahul thinks of a number, multiplies it by 8 and then adds 8. The result is 112. What is the number?
  24. 24.Pooja thinks of a number, multiplies it by 2 and then adds 3. The result is 27. What is the number?
  25. 25.Solve: y/5 + 2 = 16. What is y?
  26. 26.Solve: 6(y + 7) = 102. What is y?
  27. 27.Ishaan’s mother is three times as old as Ishaan. Their ages add up to 36 years. How old is Ishaan?
  28. 28.Solve: 8(n + 3) = 56. What is n?
  29. 29.Solve: 3(x + 9) = 69. What is x?
  30. 30.Solve: 4(t + 1) = 12. What is t?
  31. 31.Solve: 9x − 44 = 64. What is x?
  32. 32.Isha thinks of a number, multiplies it by 8 and then adds 2. The result is 18. What is the number?
  33. 33.Solve: 9x − 62 = 37. What is x?
  34. 34.Dev is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  35. 35.Solve: 5x − 29 = 26. What is x?
  36. 36.Solve: p/8 + 10 = 18. What is p?
  37. 37.Solve: 5t − 15 = 10. What is t?
  38. 38.Solve: 7y + 2 = 30. What is y?
  39. 39.Solve: 3x − 28 = 17. What is x?
  40. 40.Solve: 8m − 27 = 5. What is m?

Answer key

  1. 84
  2. 4
  3. 18
  4. 6
  5. 3
  6. 15
  7. 8
  8. 8
  9. 10
  10. 3
  11. 4
  12. 18
  13. 13
  14. 1
  15. 14
  16. 3
  17. 2
  18. 4
  19. 14
  20. 1
  21. 11
  22. 11
  23. 13
  24. 12
  25. 70
  26. 10
  27. 9
  28. 4
  29. 14
  30. 2
  31. 12
  32. 2
  33. 11
  34. 6
  35. 11
  36. 64
  37. 5
  38. 4
  39. 15
  40. 4

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