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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 471 · 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: 2(p + 2) = 28. What is p?
  2. 2.Solve: 5(t + 7) = 90. What is t?
  3. 3.Solve: 3p + 9 = 36. What is p?
  4. 4.Solve: x/3 + 2 = 6. What is x?
  5. 5.Solve: 5n − 1 = 54. What is n?
  6. 6.Solve: 2x + 10 = 20. What is x?
  7. 7.Solve: m/5 + 12 = 25. What is m?
  8. 8.Nisha’s mother is twice as old as Nisha. Their ages add up to 45 years. How old is Nisha?
  9. 9.Arjun is 3 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  10. 10.Rahul is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  11. 11.Solve: 5m + 7 = 27. What is m?
  12. 12.Solve: p/7 + 11 = 23. What is p?
  13. 13.Solve: 7t + 28 = 49. What is t?
  14. 14.Pooja thinks of a number, multiplies it by 4 and then adds 3. The result is 59. What is the number?
  15. 15.Solve: 3y + 8 = 17. What is y?
  16. 16.Zoya’s mother is twice as old as Zoya. Their ages add up to 24 years. How old is Zoya?
  17. 17.Aarav thinks of a number, multiplies it by 6 and then adds 27. The result is 87. What is the number?
  18. 18.Solve: n/4 + 2 = 9. What is n?
  19. 19.Solve: 9(n + 4) = 117. What is n?
  20. 20.Solve: 2(y + 3) = 22. What is y?
  21. 21.Solve: 3m + 3 = 6. What is m?
  22. 22.Manav thinks of a number, multiplies it by 6 and then adds 15. The result is 81. What is the number?
  23. 23.Solve: 8m + 5 = 53. What is m?
  24. 24.Solve: 7(t + 8) = 70. What is t?
  25. 25.Solve: 8t − 95 = 25. What is t?
  26. 26.Solve: p/8 + 6 = 17. What is p?
  27. 27.Ananya thinks of a number, multiplies it by 8 and then adds 20. The result is 116. What is the number?
  28. 28.Meera thinks of a number, multiplies it by 2 and then adds 4. The result is 18. What is the number?
  29. 29.Solve: x/5 + 19 = 34. What is x?
  30. 30.Solve: y/5 + 18 = 29. What is y?
  31. 31.Sneha thinks of a number, multiplies it by 7 and then adds 16. The result is 72. What is the number?
  32. 32.Solve: x/7 + 2 = 10. What is x?
  33. 33.Solve: 9y − 76 = 5. What is y?
  34. 34.Solve: 2n − 2 = 16. What is n?
  35. 35.Solve: 4x + 6 = 58. What is x?
  36. 36.Solve: n/5 + 5 = 14. What is n?
  37. 37.Solve: 8x − 21 = 11. What is x?
  38. 38.Solve: m/4 + 11 = 20. What is m?
  39. 39.Pooja thinks of a number, multiplies it by 2 and then adds 27. The result is 39. What is the number?
  40. 40.Solve: 4(m + 1) = 48. What is m?

Answer key

  1. 12
  2. 11
  3. 9
  4. 12
  5. 11
  6. 5
  7. 65
  8. 15
  9. 7
  10. 10
  11. 4
  12. 84
  13. 3
  14. 14
  15. 3
  16. 8
  17. 10
  18. 28
  19. 9
  20. 8
  21. 1
  22. 11
  23. 6
  24. 2
  25. 15
  26. 88
  27. 12
  28. 7
  29. 75
  30. 55
  31. 8
  32. 56
  33. 9
  34. 9
  35. 13
  36. 45
  37. 4
  38. 36
  39. 6
  40. 11

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