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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 798 · 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: x/2 + 8 = 18. What is x?
  2. 2.Solve: 7(n + 5) = 105. What is n?
  3. 3.Nisha thinks of a number, multiplies it by 2 and then adds 1. The result is 13. What is the number?
  4. 4.Solve: y/5 + 3 = 8. What is y?
  5. 5.Solve: 6(x + 6) = 90. What is x?
  6. 6.Solve: 6m − 1 = 5. What is m?
  7. 7.Solve: 5p − 66 = 4. What is p?
  8. 8.Solve: n/2 + 9 = 10. What is n?
  9. 9.Solve: 3(m + 6) = 36. What is m?
  10. 10.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 25 years. How old is Ishaan?
  11. 11.Solve: 3n + 28 = 37. What is n?
  12. 12.Solve: 2(m + 8) = 38. What is m?
  13. 13.Diya thinks of a number, multiplies it by 3 and then adds 30. The result is 48. What is the number?
  14. 14.Solve: m/2 + 14 = 23. What is m?
  15. 15.Solve: 5p + 16 = 66. What is p?
  16. 16.Kabir thinks of a number, multiplies it by 9 and then adds 19. The result is 145. What is the number?
  17. 17.Tara thinks of a number, multiplies it by 4 and then adds 13. The result is 29. What is the number?
  18. 18.Solve: 7t + 14 = 77. What is t?
  19. 19.Ishaan is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  20. 20.Solve: 5m − 39 = 36. What is m?
  21. 21.Farhan is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  22. 22.Solve: 9m + 12 = 57. What is m?
  23. 23.Solve: 7n − 34 = 22. What is n?
  24. 24.Solve: x/5 + 6 = 10. What is x?
  25. 25.Solve: x/2 + 10 = 17. What is x?
  26. 26.Diya is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  27. 27.Solve: 5n + 19 = 84. What is n?
  28. 28.Solve: 7m + 6 = 97. What is m?
  29. 29.Solve: x/9 + 14 = 28. What is x?
  30. 30.Solve: 7n − 10 = 60. What is n?
  31. 31.Solve: t/7 + 1 = 16. What is t?
  32. 32.Solve: 5m − 9 = 6. What is m?
  33. 33.Riya thinks of a number, multiplies it by 2 and then adds 16. The result is 38. What is the number?
  34. 34.Solve: x/9 + 14 = 21. What is x?
  35. 35.Solve: 4(x + 7) = 80. What is x?
  36. 36.Farhan thinks of a number, multiplies it by 2 and then adds 15. The result is 39. What is the number?
  37. 37.Solve: m/2 + 5 = 9. What is m?
  38. 38.Solve: 6x − 2 = 4. What is x?
  39. 39.Solve: 8x + 20 = 92. What is x?
  40. 40.Solve: 4p − 3 = 1. What is p?

Answer key

  1. 20
  2. 10
  3. 6
  4. 25
  5. 9
  6. 1
  7. 14
  8. 2
  9. 6
  10. 5
  11. 3
  12. 11
  13. 6
  14. 18
  15. 10
  16. 14
  17. 4
  18. 9
  19. 10
  20. 15
  21. 14
  22. 5
  23. 8
  24. 20
  25. 14
  26. 7
  27. 13
  28. 13
  29. 126
  30. 10
  31. 105
  32. 3
  33. 11
  34. 63
  35. 13
  36. 12
  37. 8
  38. 1
  39. 9
  40. 1

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