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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 877 · 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: 7p + 19 = 33. What is p?
  2. 2.Solve: 4m − 40 = 12. What is m?
  3. 3.Solve: 7x + 23 = 128. What is x?
  4. 4.Meera thinks of a number, multiplies it by 8 and then adds 21. The result is 69. What is the number?
  5. 5.Solve: n/9 + 18 = 27. What is n?
  6. 6.Solve: 8x − 18 = 22. What is x?
  7. 7.Solve: x/5 + 10 = 17. What is x?
  8. 8.Solve: 6(y + 9) = 78. What is y?
  9. 9.Kavya thinks of a number, multiplies it by 2 and then adds 23. The result is 29. What is the number?
  10. 10.Solve: 9x − 23 = 4. What is x?
  11. 11.Solve: 2m − 3 = 1. What is m?
  12. 12.Manav is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  13. 13.Solve: 8t − 9 = 31. What is t?
  14. 14.Solve: 9n + 3 = 102. What is n?
  15. 15.Solve: 8(n + 4) = 112. What is n?
  16. 16.Solve: 8y + 2 = 18. What is y?
  17. 17.Solve: 9y + 30 = 84. What is y?
  18. 18.Solve: 7n + 22 = 85. What is n?
  19. 19.Solve: n/2 + 2 = 11. What is n?
  20. 20.Solve: 4p − 35 = 1. What is p?
  21. 21.Solve: y/8 + 8 = 22. What is y?
  22. 22.Solve: n/7 + 16 = 22. What is n?
  23. 23.Solve: 8m + 22 = 86. What is m?
  24. 24.Solve: 9x − 69 = 66. What is x?
  25. 25.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 18 years. How old is Saanvi?
  26. 26.Rahul’s mother is three times as old as Rahul. Their ages add up to 36 years. How old is Rahul?
  27. 27.Rohan thinks of a number, multiplies it by 6 and then adds 23. The result is 47. What is the number?
  28. 28.Ananya’s mother is four times as old as Ananya. Their ages add up to 35 years. How old is Ananya?
  29. 29.Solve: 7(y + 8) = 147. What is y?
  30. 30.Solve: m/9 + 8 = 23. What is m?
  31. 31.Solve: 3x + 27 = 33. What is x?
  32. 32.Solve: 8m + 30 = 86. What is m?
  33. 33.Kabir is 1 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Karan’s mother is three times as old as Karan. Their ages add up to 20 years. How old is Karan?
  35. 35.Nisha thinks of a number, multiplies it by 3 and then adds 16. The result is 34. What is the number?
  36. 36.Solve: 8(m + 8) = 72. What is m?
  37. 37.Solve: 6n − 5 = 85. What is n?
  38. 38.Solve: 5p + 24 = 74. What is p?
  39. 39.Solve: p/8 + 3 = 16. What is p?
  40. 40.Solve: 4y − 26 = 2. What is y?

Answer key

  1. 2
  2. 13
  3. 15
  4. 6
  5. 81
  6. 5
  7. 35
  8. 4
  9. 3
  10. 3
  11. 2
  12. 13
  13. 5
  14. 11
  15. 10
  16. 2
  17. 6
  18. 9
  19. 18
  20. 9
  21. 112
  22. 42
  23. 8
  24. 15
  25. 6
  26. 9
  27. 4
  28. 7
  29. 13
  30. 135
  31. 2
  32. 7
  33. 12
  34. 5
  35. 6
  36. 1
  37. 15
  38. 10
  39. 104
  40. 7

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