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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 853 · 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: 8m − 16 = 72. What is m?
  2. 2.Solve: 5(x + 9) = 95. What is x?
  3. 3.Solve: 6n − 42 = 42. What is n?
  4. 4.Solve: 4x − 2 = 2. What is x?
  5. 5.Solve: 2p + 13 = 41. What is p?
  6. 6.Solve: n/9 + 8 = 19. What is n?
  7. 7.Solve: 2p + 19 = 47. What is p?
  8. 8.Solve: 7m − 73 = 25. What is m?
  9. 9.Solve: y/7 + 10 = 22. What is y?
  10. 10.Solve: 6p − 1 = 71. What is p?
  11. 11.Solve: 4m + 23 = 63. What is m?
  12. 12.Rahul is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  13. 13.Riya thinks of a number, multiplies it by 6 and then adds 2. The result is 62. What is the number?
  14. 14.Manav is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  15. 15.Solve: 7x + 20 = 90. What is x?
  16. 16.Solve: n/8 + 2 = 13. What is n?
  17. 17.Solve: p/2 + 16 = 31. What is p?
  18. 18.Solve: n/3 + 19 = 23. What is n?
  19. 19.Farhan thinks of a number, multiplies it by 9 and then adds 16. The result is 133. What is the number?
  20. 20.Solve: n/9 + 19 = 20. What is n?
  21. 21.Tara thinks of a number, multiplies it by 7 and then adds 3. The result is 94. What is the number?
  22. 22.Solve: 2t + 18 = 34. What is t?
  23. 23.Isha thinks of a number, multiplies it by 2 and then adds 16. The result is 22. What is the number?
  24. 24.Solve: 3(t + 7) = 33. What is t?
  25. 25.Ishaan thinks of a number, multiplies it by 2 and then adds 8. The result is 14. What is the number?
  26. 26.Solve: 8n − 28 = 68. What is n?
  27. 27.Meera is 7 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  28. 28.Solve: 6p − 48 = 36. What is p?
  29. 29.Solve: 6y − 41 = 13. What is y?
  30. 30.Aditya thinks of a number, multiplies it by 8 and then adds 16. The result is 128. What is the number?
  31. 31.Solve: y/8 + 2 = 12. What is y?
  32. 32.Solve: m/9 + 14 = 23. What is m?
  33. 33.Solve: p/5 + 20 = 31. What is p?
  34. 34.Solve: 5p − 17 = 8. What is p?
  35. 35.Solve: 2m + 18 = 20. What is m?
  36. 36.Solve: 4y − 3 = 21. What is y?
  37. 37.Solve: 2t + 14 = 32. What is t?
  38. 38.Ananya’s mother is twice as old as Ananya. Their ages add up to 45 years. How old is Ananya?
  39. 39.Solve: t/5 + 19 = 23. What is t?
  40. 40.Solve: 7(y + 1) = 28. What is y?

Answer key

  1. 11
  2. 10
  3. 14
  4. 1
  5. 14
  6. 99
  7. 14
  8. 14
  9. 84
  10. 12
  11. 10
  12. 7
  13. 10
  14. 15
  15. 10
  16. 88
  17. 30
  18. 12
  19. 13
  20. 9
  21. 13
  22. 8
  23. 3
  24. 4
  25. 3
  26. 12
  27. 10
  28. 14
  29. 9
  30. 14
  31. 80
  32. 81
  33. 55
  34. 5
  35. 1
  36. 6
  37. 9
  38. 15
  39. 20
  40. 3

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