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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 727 · 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: p/8 + 11 = 15. What is p?
  2. 2.Solve: m/4 + 2 = 5. What is m?
  3. 3.Solve: 2(m + 2) = 8. What is m?
  4. 4.Solve: 4m − 2 = 50. What is m?
  5. 5.Vivaan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  6. 6.Solve: 8y − 20 = 12. What is y?
  7. 7.Solve: 6(t + 1) = 24. What is t?
  8. 8.Solve: 6m − 14 = 4. What is m?
  9. 9.Solve: 7t − 52 = 25. What is t?
  10. 10.Rahul’s mother is three times as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  11. 11.Solve: 4x + 25 = 77. What is x?
  12. 12.Solve: x/4 + 4 = 8. What is x?
  13. 13.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 21 years. How old is Saanvi?
  14. 14.Rahul’s mother is twice as old as Rahul. Their ages add up to 45 years. How old is Rahul?
  15. 15.Solve: 7t + 4 = 109. What is t?
  16. 16.Arjun thinks of a number, multiplies it by 2 and then adds 11. The result is 37. What is the number?
  17. 17.Manav thinks of a number, multiplies it by 5 and then adds 21. The result is 41. What is the number?
  18. 18.Solve: 3p + 26 = 68. What is p?
  19. 19.Solve: 9n − 14 = 67. What is n?
  20. 20.Dev’s mother is four times as old as Dev. Their ages add up to 50 years. How old is Dev?
  21. 21.Solve: 7m − 26 = 9. What is m?
  22. 22.Solve: 7(y + 3) = 77. What is y?
  23. 23.Solve: 8n + 9 = 41. What is n?
  24. 24.Solve: 7m − 27 = 29. What is m?
  25. 25.Kabir thinks of a number, multiplies it by 9 and then adds 24. The result is 69. What is the number?
  26. 26.Solve: 5(y + 4) = 85. What is y?
  27. 27.Solve: 2(t + 8) = 18. What is t?
  28. 28.Solve: 8p − 49 = 63. What is p?
  29. 29.Zoya thinks of a number, multiplies it by 6 and then adds 4. The result is 76. What is the number?
  30. 30.Solve: 2t + 11 = 23. What is t?
  31. 31.Aarav thinks of a number, multiplies it by 5 and then adds 6. The result is 56. What is the number?
  32. 32.Solve: 6y + 10 = 58. What is y?
  33. 33.Karan is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  34. 34.Tara thinks of a number, multiplies it by 6 and then adds 9. The result is 15. What is the number?
  35. 35.Solve: 6m − 35 = 55. What is m?
  36. 36.Solve: 4(x + 3) = 32. What is x?
  37. 37.Solve: y/4 + 11 = 17. What is y?
  38. 38.Solve: m/8 + 3 = 13. What is m?
  39. 39.Solve: 9p + 25 = 124. What is p?
  40. 40.Farhan is 5 years older than a cousin. Their ages add up to 27 years. How old is the cousin?

Answer key

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

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