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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 286 · 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: 8t + 8 = 56. What is t?
  2. 2.Solve: 6(m + 5) = 42. What is m?
  3. 3.Rohan thinks of a number, multiplies it by 3 and then adds 18. The result is 42. What is the number?
  4. 4.Solve: 5y + 18 = 43. What is y?
  5. 5.Solve: 9(x + 9) = 90. What is x?
  6. 6.Solve: y/8 + 18 = 30. What is y?
  7. 7.Solve: m/3 + 8 = 12. What is m?
  8. 8.Solve: p/4 + 9 = 17. What is p?
  9. 9.Solve: 4n − 40 = 4. What is n?
  10. 10.Zoya’s mother is three times as old as Zoya. Their ages add up to 20 years. How old is Zoya?
  11. 11.Solve: y/3 + 3 = 8. What is y?
  12. 12.Priya thinks of a number, multiplies it by 7 and then adds 8. The result is 36. What is the number?
  13. 13.Zoya thinks of a number, multiplies it by 4 and then adds 1. The result is 53. What is the number?
  14. 14.Solve: 9m − 28 = 98. What is m?
  15. 15.Solve: 5x − 2 = 48. What is x?
  16. 16.Arjun thinks of a number, multiplies it by 6 and then adds 14. The result is 26. What is the number?
  17. 17.Solve: 4m − 12 = 24. What is m?
  18. 18.Solve: 9t − 58 = 14. What is t?
  19. 19.Solve: 6n − 70 = 20. What is n?
  20. 20.Rohan thinks of a number, multiplies it by 9 and then adds 14. The result is 104. What is the number?
  21. 21.Solve: 8m − 23 = 17. What is m?
  22. 22.Solve: 2(p + 5) = 32. What is p?
  23. 23.Solve: 8(n + 2) = 96. What is n?
  24. 24.Solve: 2(n + 2) = 34. What is n?
  25. 25.Solve: y/3 + 11 = 14. What is y?
  26. 26.Solve: 2x − 3 = 19. What is x?
  27. 27.Solve: x/8 + 2 = 16. What is x?
  28. 28.Aarav is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  29. 29.Rahul thinks of a number, multiplies it by 5 and then adds 25. The result is 80. What is the number?
  30. 30.Solve: 8(m + 9) = 88. What is m?
  31. 31.Rohan’s mother is three times as old as Rohan. Their ages add up to 52 years. How old is Rohan?
  32. 32.Kabir thinks of a number, multiplies it by 5 and then adds 30. The result is 45. What is the number?
  33. 33.Solve: 4(n + 1) = 36. What is n?
  34. 34.Gurpreet thinks of a number, multiplies it by 4 and then adds 4. The result is 64. What is the number?
  35. 35.Lakshmi thinks of a number, multiplies it by 4 and then adds 14. The result is 22. What is the number?
  36. 36.Solve: 2x + 26 = 54. What is x?
  37. 37.Solve: 6y − 46 = 44. What is y?
  38. 38.Solve: 8y − 64 = 32. What is y?
  39. 39.Solve: n/6 + 12 = 19. What is n?
  40. 40.Kabir thinks of a number, multiplies it by 7 and then adds 8. The result is 71. What is the number?

Answer key

  1. 6
  2. 2
  3. 8
  4. 5
  5. 1
  6. 96
  7. 12
  8. 32
  9. 11
  10. 5
  11. 15
  12. 4
  13. 13
  14. 14
  15. 10
  16. 2
  17. 9
  18. 8
  19. 15
  20. 10
  21. 5
  22. 11
  23. 10
  24. 15
  25. 9
  26. 11
  27. 112
  28. 5
  29. 11
  30. 2
  31. 13
  32. 3
  33. 8
  34. 15
  35. 2
  36. 14
  37. 15
  38. 12
  39. 42
  40. 9

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