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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 145 · 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 + 9 = 14. What is x?
  2. 2.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 36 years. How old is Vivaan?
  3. 3.Dev is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  4. 4.Solve: 4p − 1 = 3. What is p?
  5. 5.Saanvi is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  6. 6.Kabir thinks of a number, multiplies it by 5 and then adds 4. The result is 34. What is the number?
  7. 7.Solve: 8x + 9 = 17. What is x?
  8. 8.Solve: 4(m + 6) = 40. What is m?
  9. 9.Solve: 7n + 5 = 110. What is n?
  10. 10.Solve: 5(n + 3) = 40. What is n?
  11. 11.Solve: 2(y + 4) = 12. What is y?
  12. 12.Gurpreet thinks of a number, multiplies it by 8 and then adds 28. The result is 100. What is the number?
  13. 13.Solve: 3(y + 3) = 39. What is y?
  14. 14.Solve: 8(m + 2) = 88. What is m?
  15. 15.Solve: m/5 + 2 = 12. What is m?
  16. 16.Solve: x/3 + 3 = 11. What is x?
  17. 17.Solve: n/7 + 14 = 29. What is n?
  18. 18.Farhan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  19. 19.Solve: 6(p + 8) = 60. What is p?
  20. 20.Solve: 7t − 12 = 16. What is t?
  21. 21.Solve: n/2 + 9 = 18. What is n?
  22. 22.Solve: p/2 + 7 = 14. What is p?
  23. 23.Solve: 3(x + 9) = 33. What is x?
  24. 24.Solve: 2t − 1 = 3. What is t?
  25. 25.Solve: x/2 + 10 = 13. What is x?
  26. 26.Solve: x/5 + 6 = 8. What is x?
  27. 27.Solve: m/6 + 4 = 18. What is m?
  28. 28.Solve: 2t − 5 = 1. What is t?
  29. 29.Solve: 8(x + 5) = 96. What is x?
  30. 30.Manav thinks of a number, multiplies it by 7 and then adds 24. The result is 66. What is the number?
  31. 31.Solve: y/5 + 18 = 25. What is y?
  32. 32.Solve: 8x + 22 = 54. What is x?
  33. 33.Solve: 8n − 11 = 53. What is n?
  34. 34.Solve: x/3 + 9 = 24. What is x?
  35. 35.Solve: n/9 + 10 = 24. What is n?
  36. 36.Solve: 7t − 24 = 11. What is t?
  37. 37.Solve: 8y − 12 = 4. What is y?
  38. 38.Rahul is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  39. 39.Zoya thinks of a number, multiplies it by 8 and then adds 7. The result is 95. What is the number?
  40. 40.Solve: 5y + 20 = 55. What is y?

Answer key

  1. 10
  2. 9
  3. 12
  4. 1
  5. 4
  6. 6
  7. 1
  8. 4
  9. 15
  10. 5
  11. 2
  12. 9
  13. 10
  14. 9
  15. 50
  16. 24
  17. 105
  18. 6
  19. 2
  20. 4
  21. 18
  22. 14
  23. 2
  24. 2
  25. 6
  26. 10
  27. 84
  28. 3
  29. 7
  30. 6
  31. 35
  32. 4
  33. 8
  34. 45
  35. 126
  36. 5
  37. 2
  38. 15
  39. 11
  40. 7

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