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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 905 · 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.Rahul’s mother is twice as old as Rahul. Their ages add up to 33 years. How old is Rahul?
  2. 2.Ishaan is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  3. 3.Zoya thinks of a number, multiplies it by 6 and then adds 1. The result is 67. What is the number?
  4. 4.Solve: m/6 + 11 = 19. What is m?
  5. 5.Solve: 9(x + 1) = 99. What is x?
  6. 6.Solve: 3t + 24 = 54. What is t?
  7. 7.Solve: m/2 + 3 = 14. What is m?
  8. 8.Aarav thinks of a number, multiplies it by 5 and then adds 27. The result is 32. What is the number?
  9. 9.Solve: 6m + 9 = 69. What is m?
  10. 10.Solve: 7n − 3 = 95. What is n?
  11. 11.Solve: m/8 + 13 = 24. What is m?
  12. 12.Zoya’s mother is three times as old as Zoya. Their ages add up to 20 years. How old is Zoya?
  13. 13.Solve: 6y + 15 = 87. What is y?
  14. 14.Nisha is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  15. 15.Solve: 5(t + 5) = 40. What is t?
  16. 16.Solve: 7(t + 3) = 28. What is t?
  17. 17.Solve: x/9 + 6 = 10. What is x?
  18. 18.Solve: 3m + 10 = 19. What is m?
  19. 19.Solve: 6(t + 3) = 54. What is t?
  20. 20.Solve: 4y + 28 = 40. What is y?
  21. 21.Solve: y/6 + 5 = 15. What is y?
  22. 22.Solve: 7(t + 8) = 98. What is t?
  23. 23.Solve: t/6 + 19 = 24. What is t?
  24. 24.Solve: t/2 + 3 = 6. What is t?
  25. 25.Solve: 3p − 8 = 13. What is p?
  26. 26.Diya’s mother is three times as old as Diya. Their ages add up to 40 years. How old is Diya?
  27. 27.Solve: 3p − 1 = 11. What is p?
  28. 28.Solve: 6y + 19 = 67. What is y?
  29. 29.Solve: 4n − 39 = 1. What is n?
  30. 30.Solve: 2y − 8 = 12. What is y?
  31. 31.Solve: 6x + 4 = 10. What is x?
  32. 32.Solve: 2(x + 8) = 22. What is x?
  33. 33.Solve: 3t + 13 = 58. What is t?
  34. 34.Priya’s mother is twice as old as Priya. Their ages add up to 18 years. How old is Priya?
  35. 35.Solve: m/3 + 11 = 14. What is m?
  36. 36.Meera thinks of a number, multiplies it by 3 and then adds 23. The result is 44. What is the number?
  37. 37.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 50 years. How old is Vivaan?
  38. 38.Meera thinks of a number, multiplies it by 3 and then adds 15. The result is 27. What is the number?
  39. 39.Dev is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  40. 40.Solve: 4n − 15 = 25. What is n?

Answer key

  1. 11
  2. 9
  3. 11
  4. 48
  5. 10
  6. 10
  7. 22
  8. 1
  9. 10
  10. 14
  11. 88
  12. 5
  13. 12
  14. 6
  15. 3
  16. 1
  17. 36
  18. 3
  19. 6
  20. 3
  21. 60
  22. 6
  23. 30
  24. 6
  25. 7
  26. 10
  27. 4
  28. 8
  29. 10
  30. 10
  31. 1
  32. 3
  33. 15
  34. 6
  35. 9
  36. 7
  37. 10
  38. 4
  39. 5
  40. 10

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