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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 88 · 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: 5m + 28 = 53. What is m?
  2. 2.Solve: m/8 + 20 = 24. What is m?
  3. 3.Gurpreet thinks of a number, multiplies it by 8 and then adds 25. The result is 113. What is the number?
  4. 4.Nisha’s mother is four times as old as Nisha. Their ages add up to 45 years. How old is Nisha?
  5. 5.Solve: 9y + 6 = 33. What is y?
  6. 6.Solve: 6x − 2 = 28. What is x?
  7. 7.Solve: 6p − 8 = 16. What is p?
  8. 8.Solve: 4n + 2 = 34. What is n?
  9. 9.Solve: 4x + 4 = 52. What is x?
  10. 10.Solve: 8n − 32 = 40. What is n?
  11. 11.Sneha thinks of a number, multiplies it by 6 and then adds 14. The result is 56. What is the number?
  12. 12.Solve: 2t + 20 = 36. What is t?
  13. 13.Isha thinks of a number, multiplies it by 2 and then adds 24. The result is 32. What is the number?
  14. 14.Isha is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  15. 15.Vivaan thinks of a number, multiplies it by 4 and then adds 15. The result is 43. What is the number?
  16. 16.Solve: 3p + 14 = 50. What is p?
  17. 17.Solve: 4x − 30 = 2. What is x?
  18. 18.Solve: 8y + 2 = 34. What is y?
  19. 19.Solve: 5p − 57 = 3. What is p?
  20. 20.Solve: 5m − 39 = 11. What is m?
  21. 21.Kavya thinks of a number, multiplies it by 4 and then adds 26. The result is 62. What is the number?
  22. 22.Solve: 4(y + 6) = 28. What is y?
  23. 23.Solve: m/9 + 3 = 15. What is m?
  24. 24.Ananya thinks of a number, multiplies it by 4 and then adds 8. The result is 60. What is the number?
  25. 25.Solve: 7t + 4 = 81. What is t?
  26. 26.Ishaan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  27. 27.Solve: 8p − 11 = 29. What is p?
  28. 28.Meera thinks of a number, multiplies it by 9 and then adds 12. The result is 39. What is the number?
  29. 29.Arjun thinks of a number, multiplies it by 5 and then adds 5. The result is 15. What is the number?
  30. 30.Rahul’s mother is three times as old as Rahul. Their ages add up to 56 years. How old is Rahul?
  31. 31.Solve: 2n − 22 = 4. What is n?
  32. 32.Joseph is 7 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  33. 33.Solve: m/5 + 3 = 12. What is m?
  34. 34.Solve: 2y − 7 = 3. What is y?
  35. 35.Solve: 2x − 7 = 13. What is x?
  36. 36.Vivaan thinks of a number, multiplies it by 3 and then adds 27. The result is 45. What is the number?
  37. 37.Solve: 7p + 23 = 114. What is p?
  38. 38.Tara thinks of a number, multiplies it by 8 and then adds 2. The result is 42. What is the number?
  39. 39.Ananya thinks of a number, multiplies it by 3 and then adds 19. The result is 40. What is the number?
  40. 40.Solve: x/8 + 11 = 23. What is x?

Answer key

  1. 5
  2. 32
  3. 11
  4. 9
  5. 3
  6. 5
  7. 4
  8. 8
  9. 12
  10. 9
  11. 7
  12. 8
  13. 4
  14. 8
  15. 7
  16. 12
  17. 8
  18. 4
  19. 12
  20. 10
  21. 9
  22. 1
  23. 108
  24. 13
  25. 11
  26. 7
  27. 5
  28. 3
  29. 2
  30. 14
  31. 13
  32. 13
  33. 45
  34. 5
  35. 10
  36. 6
  37. 13
  38. 5
  39. 7
  40. 96

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