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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 103 · 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.Kavya is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  2. 2.Solve: 8(x + 8) = 112. What is x?
  3. 3.Solve: 9t − 117 = 9. What is t?
  4. 4.Saanvi thinks of a number, multiplies it by 5 and then adds 19. The result is 79. What is the number?
  5. 5.Joseph thinks of a number, multiplies it by 8 and then adds 4. The result is 92. What is the number?
  6. 6.Solve: 8n − 2 = 94. What is n?
  7. 7.Solve: t/4 + 19 = 22. What is t?
  8. 8.Solve: y/5 + 1 = 4. What is y?
  9. 9.Solve: t/9 + 18 = 24. What is t?
  10. 10.Aarav is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  11. 11.Aditya thinks of a number, multiplies it by 9 and then adds 12. The result is 129. What is the number?
  12. 12.Meera thinks of a number, multiplies it by 4 and then adds 10. The result is 66. What is the number?
  13. 13.Solve: 7y − 30 = 54. What is y?
  14. 14.Solve: 7y + 8 = 15. What is y?
  15. 15.Solve: 8n + 2 = 34. What is n?
  16. 16.Dev’s mother is twice as old as Dev. Their ages add up to 30 years. How old is Dev?
  17. 17.Solve: t/6 + 20 = 34. What is t?
  18. 18.Solve: m/9 + 9 = 18. What is m?
  19. 19.Solve: 3y + 1 = 19. What is y?
  20. 20.Solve: 7n − 4 = 10. What is n?
  21. 21.Solve: 5m − 8 = 32. What is m?
  22. 22.Solve: 4n + 19 = 75. What is n?
  23. 23.Solve: 6m + 11 = 47. What is m?
  24. 24.Priya thinks of a number, multiplies it by 2 and then adds 26. The result is 32. What is the number?
  25. 25.Solve: 5y − 12 = 28. What is y?
  26. 26.Solve: 3y − 6 = 24. What is y?
  27. 27.Solve: 6x + 7 = 31. What is x?
  28. 28.Manav thinks of a number, multiplies it by 8 and then adds 30. The result is 62. What is the number?
  29. 29.Solve: t/4 + 4 = 8. What is t?
  30. 30.Solve: 2(n + 9) = 46. What is n?
  31. 31.Solve: 9p + 16 = 79. What is p?
  32. 32.Pooja thinks of a number, multiplies it by 9 and then adds 15. The result is 114. What is the number?
  33. 33.Solve: 5n + 6 = 81. What is n?
  34. 34.Solve: 3n − 2 = 13. What is n?
  35. 35.Manav is 2 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  36. 36.Solve: 8p − 2 = 22. What is p?
  37. 37.Priya thinks of a number, multiplies it by 3 and then adds 15. The result is 30. What is the number?
  38. 38.Solve: 2n − 1 = 13. What is n?
  39. 39.Solve: 3(n + 3) = 24. What is n?
  40. 40.Solve: 4x + 6 = 10. What is x?

Answer key

  1. 10
  2. 6
  3. 14
  4. 12
  5. 11
  6. 12
  7. 12
  8. 15
  9. 54
  10. 4
  11. 13
  12. 14
  13. 12
  14. 1
  15. 4
  16. 10
  17. 84
  18. 81
  19. 6
  20. 2
  21. 8
  22. 14
  23. 6
  24. 3
  25. 8
  26. 10
  27. 4
  28. 4
  29. 16
  30. 14
  31. 7
  32. 11
  33. 15
  34. 5
  35. 7
  36. 3
  37. 5
  38. 7
  39. 5
  40. 1

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