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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 490 · 40 sums
TalentJR

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: 9y − 4 = 5. What is y?
  2. 2.Solve: 6n − 2 = 10. What is n?
  3. 3.Solve: m/6 + 9 = 10. What is m?
  4. 4.Solve: 2(x + 9) = 20. What is x?
  5. 5.Solve: 2y − 7 = 1. What is y?
  6. 6.Manav is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  7. 7.Solve: y/8 + 1 = 14. What is y?
  8. 8.Solve: 7(x + 5) = 84. What is x?
  9. 9.Solve: 8(t + 6) = 72. What is t?
  10. 10.Tara thinks of a number, multiplies it by 9 and then adds 16. The result is 124. What is the number?
  11. 11.Solve: 3p − 21 = 21. What is p?
  12. 12.Solve: 2y − 3 = 17. What is y?
  13. 13.Tara is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  14. 14.Solve: 2p − 1 = 29. What is p?
  15. 15.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 27 years. How old is Saanvi?
  16. 16.Solve: m/6 + 9 = 19. What is m?
  17. 17.Solve: 5t + 10 = 85. What is t?
  18. 18.Solve: 3y − 5 = 31. What is y?
  19. 19.Solve: 6m + 19 = 85. What is m?
  20. 20.Tara is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  21. 21.Solve: 2(y + 4) = 30. What is y?
  22. 22.Solve: 5p + 6 = 46. What is p?
  23. 23.Solve: t/9 + 17 = 25. What is t?
  24. 24.Solve: 7y − 26 = 9. What is y?
  25. 25.Solve: 6(x + 3) = 60. What is x?
  26. 26.Solve: 9m + 28 = 118. What is m?
  27. 27.Solve: 3n − 5 = 4. What is n?
  28. 28.Saanvi thinks of a number, multiplies it by 6 and then adds 8. The result is 26. What is the number?
  29. 29.Solve: 5x − 7 = 63. What is x?
  30. 30.Solve: 4p + 5 = 9. What is p?
  31. 31.Solve: 8t − 76 = 20. What is t?
  32. 32.Solve: 9x + 14 = 86. What is x?
  33. 33.Solve: 3(x + 1) = 30. What is x?
  34. 34.Solve: n/7 + 3 = 16. What is n?
  35. 35.Solve: 3m + 8 = 23. What is m?
  36. 36.Solve: 6m + 17 = 23. What is m?
  37. 37.Solve: 8(t + 3) = 136. What is t?
  38. 38.Sneha thinks of a number, multiplies it by 8 and then adds 26. The result is 58. What is the number?
  39. 39.Solve: 7(x + 9) = 168. What is x?
  40. 40.Solve: 7x + 28 = 56. What is x?

Answer key

  1. 1
  2. 2
  3. 6
  4. 1
  5. 4
  6. 8
  7. 104
  8. 7
  9. 3
  10. 12
  11. 14
  12. 10
  13. 8
  14. 15
  15. 9
  16. 60
  17. 15
  18. 12
  19. 11
  20. 10
  21. 11
  22. 8
  23. 72
  24. 5
  25. 7
  26. 10
  27. 3
  28. 3
  29. 14
  30. 1
  31. 12
  32. 8
  33. 9
  34. 91
  35. 5
  36. 1
  37. 14
  38. 4
  39. 15
  40. 4

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