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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 128 · 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 + 22 = 62. What is m?
  2. 2.Solve: y/7 + 12 = 23. What is y?
  3. 3.Solve: n/2 + 17 = 32. What is n?
  4. 4.Solve: 8(t + 6) = 80. What is t?
  5. 5.Ananya is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  6. 6.Solve: 3(y + 4) = 21. What is y?
  7. 7.Solve: 6t + 23 = 53. What is t?
  8. 8.Solve: 7x + 20 = 69. What is x?
  9. 9.Solve: 9x − 82 = 17. What is x?
  10. 10.Solve: 2y + 11 = 25. What is y?
  11. 11.Solve: 6m + 21 = 81. What is m?
  12. 12.Solve: 8y + 18 = 114. What is y?
  13. 13.Solve: 7t + 4 = 25. What is t?
  14. 14.Solve: 4x + 20 = 68. What is x?
  15. 15.Solve: 6(n + 2) = 72. What is n?
  16. 16.Solve: 6x + 28 = 94. What is x?
  17. 17.Solve: 6x + 14 = 38. What is x?
  18. 18.Lakshmi’s mother is twice as old as Lakshmi. Their ages add up to 45 years. How old is Lakshmi?
  19. 19.Dev thinks of a number, multiplies it by 6 and then adds 9. The result is 27. What is the number?
  20. 20.Solve: 5m + 10 = 30. What is m?
  21. 21.Solve: 3y + 30 = 33. What is y?
  22. 22.Solve: 6n + 18 = 30. What is n?
  23. 23.Solve: 3m + 4 = 22. What is m?
  24. 24.Solve: 5y + 23 = 48. What is y?
  25. 25.Solve: 6x − 2 = 4. What is x?
  26. 26.Solve: 8m − 6 = 10. What is m?
  27. 27.Nisha’s mother is three times as old as Nisha. Their ages add up to 16 years. How old is Nisha?
  28. 28.Tara thinks of a number, multiplies it by 2 and then adds 2. The result is 14. What is the number?
  29. 29.Solve: 3p − 7 = 32. What is p?
  30. 30.Priya thinks of a number, multiplies it by 5 and then adds 8. The result is 68. What is the number?
  31. 31.Solve: t/2 + 10 = 15. What is t?
  32. 32.Solve: 8n + 27 = 115. What is n?
  33. 33.Solve: n/6 + 1 = 2. What is n?
  34. 34.Solve: 9(n + 6) = 81. What is n?
  35. 35.Solve: 4(n + 2) = 36. What is n?
  36. 36.Meera is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  37. 37.Solve: 5(y + 8) = 80. What is y?
  38. 38.Solve: n/2 + 14 = 29. What is n?
  39. 39.Dev is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  40. 40.Solve: x/2 + 2 = 4. What is x?

Answer key

  1. 8
  2. 77
  3. 30
  4. 4
  5. 12
  6. 3
  7. 5
  8. 7
  9. 11
  10. 7
  11. 10
  12. 12
  13. 3
  14. 12
  15. 10
  16. 11
  17. 4
  18. 15
  19. 3
  20. 4
  21. 1
  22. 2
  23. 6
  24. 5
  25. 1
  26. 2
  27. 4
  28. 6
  29. 13
  30. 12
  31. 10
  32. 11
  33. 6
  34. 3
  35. 7
  36. 5
  37. 8
  38. 30
  39. 12
  40. 4

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