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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 938 · 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: x/2 + 20 = 26. What is x?
  2. 2.Solve: x/5 + 10 = 12. What is x?
  3. 3.Solve: 5n − 7 = 8. What is n?
  4. 4.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 15 years. How old is Saanvi?
  5. 5.Isha thinks of a number, multiplies it by 5 and then adds 13. The result is 43. What is the number?
  6. 6.Solve: 5x + 17 = 52. What is x?
  7. 7.Solve: 8y + 10 = 106. What is y?
  8. 8.Ananya’s mother is twice as old as Ananya. Their ages add up to 27 years. How old is Ananya?
  9. 9.Joseph’s mother is three times as old as Joseph. Their ages add up to 32 years. How old is Joseph?
  10. 10.Solve: 7t − 4 = 3. What is t?
  11. 11.Solve: 6(m + 3) = 48. What is m?
  12. 12.Solve: 2y + 22 = 28. What is y?
  13. 13.Diya is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  14. 14.Solve: 3(y + 1) = 15. What is y?
  15. 15.Vivaan thinks of a number, multiplies it by 7 and then adds 9. The result is 65. What is the number?
  16. 16.Solve: 7n − 8 = 6. What is n?
  17. 17.Solve: 4(y + 3) = 48. What is y?
  18. 18.Solve: 7(m + 4) = 49. What is m?
  19. 19.Solve: 2y − 1 = 7. What is y?
  20. 20.Solve: 2y + 3 = 9. What is y?
  21. 21.Solve: 5m − 2 = 28. What is m?
  22. 22.Solve: y/8 + 7 = 10. What is y?
  23. 23.Meera thinks of a number, multiplies it by 9 and then adds 23. The result is 41. What is the number?
  24. 24.Solve: n/2 + 16 = 17. What is n?
  25. 25.Solve: 5(m + 8) = 110. What is m?
  26. 26.Solve: 6(p + 6) = 42. What is p?
  27. 27.Solve: 2m + 5 = 15. What is m?
  28. 28.Solve: 8x − 2 = 6. What is x?
  29. 29.Rohan thinks of a number, multiplies it by 3 and then adds 10. The result is 37. What is the number?
  30. 30.Saanvi thinks of a number, multiplies it by 6 and then adds 27. The result is 75. What is the number?
  31. 31.Solve: 7p − 36 = 6. What is p?
  32. 32.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 39 years. How old is Vivaan?
  33. 33.Solve: t/6 + 20 = 30. What is t?
  34. 34.Ananya thinks of a number, multiplies it by 7 and then adds 16. The result is 121. What is the number?
  35. 35.Rahul’s mother is three times as old as Rahul. Their ages add up to 44 years. How old is Rahul?
  36. 36.Solve: t/4 + 6 = 14. What is t?
  37. 37.Solve: m/4 + 19 = 26. What is m?
  38. 38.Solve: 6n + 14 = 74. What is n?
  39. 39.Solve: 6(m + 3) = 66. What is m?
  40. 40.Rahul thinks of a number, multiplies it by 5 and then adds 30. The result is 75. What is the number?

Answer key

  1. 12
  2. 10
  3. 3
  4. 5
  5. 6
  6. 7
  7. 12
  8. 9
  9. 8
  10. 1
  11. 5
  12. 3
  13. 5
  14. 4
  15. 8
  16. 2
  17. 9
  18. 3
  19. 4
  20. 3
  21. 6
  22. 24
  23. 2
  24. 2
  25. 14
  26. 1
  27. 5
  28. 1
  29. 9
  30. 8
  31. 6
  32. 13
  33. 60
  34. 15
  35. 11
  36. 32
  37. 28
  38. 10
  39. 8
  40. 9

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