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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 206 · 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: 9m − 44 = 73. What is m?
  2. 2.Solve: t/6 + 15 = 16. What is t?
  3. 3.Solve: 2t + 2 = 10. What is t?
  4. 4.Solve: 7t − 25 = 52. What is t?
  5. 5.Karan’s mother is four times as old as Karan. Their ages add up to 60 years. How old is Karan?
  6. 6.Solve: 2(m + 3) = 14. What is m?
  7. 7.Solve: m/6 + 8 = 10. What is m?
  8. 8.Rohan thinks of a number, multiplies it by 9 and then adds 22. The result is 112. What is the number?
  9. 9.Solve: m/2 + 17 = 24. What is m?
  10. 10.Manav’s mother is four times as old as Manav. Their ages add up to 60 years. How old is Manav?
  11. 11.Solve: 2y − 2 = 22. What is y?
  12. 12.Rohan’s mother is four times as old as Rohan. Their ages add up to 20 years. How old is Rohan?
  13. 13.Solve: 2(t + 2) = 8. What is t?
  14. 14.Solve: 2x + 6 = 8. What is x?
  15. 15.Solve: m/3 + 6 = 16. What is m?
  16. 16.Solve: 2m − 3 = 21. What is m?
  17. 17.Solve: 4m − 19 = 5. What is m?
  18. 18.Solve: 7y + 16 = 79. What is y?
  19. 19.Solve: 8y − 44 = 28. What is y?
  20. 20.Priya thinks of a number, multiplies it by 9 and then adds 28. The result is 127. What is the number?
  21. 21.Diya’s mother is twice as old as Diya. Their ages add up to 36 years. How old is Diya?
  22. 22.Solve: 9n − 23 = 49. What is n?
  23. 23.Tara thinks of a number, multiplies it by 4 and then adds 17. The result is 25. What is the number?
  24. 24.Pooja is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  25. 25.Solve: 8m + 6 = 118. What is m?
  26. 26.Solve: y/4 + 14 = 20. What is y?
  27. 27.Solve: 8t − 2 = 6. What is t?
  28. 28.Solve: 2y − 12 = 4. What is y?
  29. 29.Farhan’s mother is four times as old as Farhan. Their ages add up to 35 years. How old is Farhan?
  30. 30.Solve: 5n + 1 = 66. What is n?
  31. 31.Solve: x/3 + 14 = 23. What is x?
  32. 32.Solve: 8m − 9 = 39. What is m?
  33. 33.Solve: 3m + 27 = 54. What is m?
  34. 34.Solve: x/7 + 7 = 22. What is x?
  35. 35.Solve: x/6 + 3 = 6. What is x?
  36. 36.Solve: 6y + 29 = 89. What is y?
  37. 37.Arjun thinks of a number, multiplies it by 3 and then adds 9. The result is 42. What is the number?
  38. 38.Solve: 9(x + 7) = 144. What is x?
  39. 39.Solve: p/6 + 4 = 13. What is p?
  40. 40.Rahul’s mother is three times as old as Rahul. Their ages add up to 40 years. How old is Rahul?

Answer key

  1. 13
  2. 6
  3. 4
  4. 11
  5. 12
  6. 4
  7. 12
  8. 10
  9. 14
  10. 12
  11. 12
  12. 4
  13. 2
  14. 1
  15. 30
  16. 12
  17. 6
  18. 9
  19. 9
  20. 11
  21. 12
  22. 8
  23. 2
  24. 6
  25. 14
  26. 24
  27. 1
  28. 8
  29. 7
  30. 13
  31. 27
  32. 6
  33. 9
  34. 105
  35. 18
  36. 10
  37. 11
  38. 9
  39. 54
  40. 10

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