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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 746 · 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.Ananya is 5 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  2. 2.Solve: 8t − 16 = 8. What is t?
  3. 3.Solve: 5m + 20 = 70. What is m?
  4. 4.Kavya thinks of a number, multiplies it by 6 and then adds 21. The result is 51. What is the number?
  5. 5.Solve: n/4 + 12 = 24. What is n?
  6. 6.Solve: 8x − 1 = 15. What is x?
  7. 7.Solve: 6y − 5 = 7. What is y?
  8. 8.Solve: 4p + 14 = 66. What is p?
  9. 9.Sneha thinks of a number, multiplies it by 8 and then adds 2. The result is 74. What is the number?
  10. 10.Solve: 4y − 26 = 14. What is y?
  11. 11.Solve: 7(n + 6) = 91. What is n?
  12. 12.Solve: 3m + 17 = 29. What is m?
  13. 13.Arjun thinks of a number, multiplies it by 3 and then adds 21. The result is 33. What is the number?
  14. 14.Solve: 5y + 26 = 86. What is y?
  15. 15.Ishaan thinks of a number, multiplies it by 6 and then adds 15. The result is 63. What is the number?
  16. 16.Solve: 2m − 5 = 9. What is m?
  17. 17.Solve: y/5 + 12 = 26. What is y?
  18. 18.Nisha’s mother is three times as old as Nisha. Their ages add up to 52 years. How old is Nisha?
  19. 19.Sneha is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  20. 20.Vivaan is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  21. 21.Solve: 8p + 20 = 68. What is p?
  22. 22.Solve: 8n − 1 = 7. What is n?
  23. 23.Solve: 5(x + 9) = 55. What is x?
  24. 24.Solve: 6y + 26 = 92. What is y?
  25. 25.Riya thinks of a number, multiplies it by 2 and then adds 3. The result is 11. What is the number?
  26. 26.Solve: 2y − 9 = 13. What is y?
  27. 27.Solve: 2t + 30 = 48. What is t?
  28. 28.Solve: y/8 + 19 = 25. What is y?
  29. 29.Karan thinks of a number, multiplies it by 5 and then adds 14. The result is 69. What is the number?
  30. 30.Arjun thinks of a number, multiplies it by 9 and then adds 5. The result is 95. What is the number?
  31. 31.Solve: 2y + 20 = 32. What is y?
  32. 32.Solve: x/7 + 11 = 18. What is x?
  33. 33.Diya’s mother is twice as old as Diya. Their ages add up to 36 years. How old is Diya?
  34. 34.Solve: n/2 + 3 = 18. What is n?
  35. 35.Karan thinks of a number, multiplies it by 9 and then adds 29. The result is 101. What is the number?
  36. 36.Solve: 4(y + 7) = 64. What is y?
  37. 37.Riya thinks of a number, multiplies it by 6 and then adds 2. The result is 86. What is the number?
  38. 38.Solve: 6(n + 7) = 120. What is n?
  39. 39.Zoya thinks of a number, multiplies it by 8 and then adds 17. The result is 65. What is the number?
  40. 40.Solve: 7t − 6 = 8. What is t?

Answer key

  1. 8
  2. 3
  3. 10
  4. 5
  5. 48
  6. 2
  7. 2
  8. 13
  9. 9
  10. 10
  11. 7
  12. 4
  13. 4
  14. 12
  15. 8
  16. 7
  17. 70
  18. 13
  19. 10
  20. 15
  21. 6
  22. 1
  23. 2
  24. 11
  25. 4
  26. 11
  27. 9
  28. 48
  29. 11
  30. 10
  31. 6
  32. 49
  33. 12
  34. 30
  35. 8
  36. 9
  37. 14
  38. 13
  39. 6
  40. 2

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