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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 666 · 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: 2(t + 7) = 16. What is t?
  2. 2.Manav is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  3. 3.Saanvi thinks of a number, multiplies it by 6 and then adds 4. The result is 16. What is the number?
  4. 4.Solve: 6t − 27 = 45. What is t?
  5. 5.Solve: 5m + 27 = 77. What is m?
  6. 6.Solve: 5p + 17 = 47. What is p?
  7. 7.Solve: 8n + 20 = 132. What is n?
  8. 8.Solve: 6(p + 8) = 126. What is p?
  9. 9.Solve: 2p − 17 = 13. What is p?
  10. 10.Solve: 5(m + 2) = 35. What is m?
  11. 11.Aarav’s mother is twice as old as Aarav. Their ages add up to 18 years. How old is Aarav?
  12. 12.Solve: 5m + 20 = 30. What is m?
  13. 13.Ananya’s mother is twice as old as Ananya. Their ages add up to 36 years. How old is Ananya?
  14. 14.Solve: y/2 + 13 = 28. What is y?
  15. 15.Diya thinks of a number, multiplies it by 2 and then adds 23. The result is 37. What is the number?
  16. 16.Dev is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  17. 17.Meera thinks of a number, multiplies it by 6 and then adds 30. The result is 36. What is the number?
  18. 18.Kabir’s mother is three times as old as Kabir. Their ages add up to 44 years. How old is Kabir?
  19. 19.Solve: 2(n + 8) = 46. What is n?
  20. 20.Solve: n/2 + 12 = 21. What is n?
  21. 21.Solve: 7y − 32 = 52. What is y?
  22. 22.Solve: x/5 + 2 = 15. What is x?
  23. 23.Farhan thinks of a number, multiplies it by 5 and then adds 26. The result is 86. What is the number?
  24. 24.Farhan’s mother is three times as old as Farhan. Their ages add up to 36 years. How old is Farhan?
  25. 25.Solve: 2(t + 3) = 10. What is t?
  26. 26.Tara’s mother is four times as old as Tara. Their ages add up to 50 years. How old is Tara?
  27. 27.Solve: 7(y + 7) = 147. What is y?
  28. 28.Gurpreet thinks of a number, multiplies it by 2 and then adds 25. The result is 41. What is the number?
  29. 29.Solve: 2m + 6 = 34. What is m?
  30. 30.Ananya thinks of a number, multiplies it by 9 and then adds 12. The result is 66. What is the number?
  31. 31.Solve: 9(m + 4) = 63. What is m?
  32. 32.Solve: 7x + 6 = 104. What is x?
  33. 33.Kavya thinks of a number, multiplies it by 5 and then adds 4. The result is 29. What is the number?
  34. 34.Saanvi is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  35. 35.Solve: 5(t + 5) = 70. What is t?
  36. 36.Solve: 4(y + 9) = 56. What is y?
  37. 37.Solve: t/9 + 12 = 19. What is t?
  38. 38.Solve: 8(n + 6) = 112. What is n?
  39. 39.Solve: 3t − 8 = 1. What is t?
  40. 40.Solve: 9y + 2 = 29. What is y?

Answer key

  1. 1
  2. 14
  3. 2
  4. 12
  5. 10
  6. 6
  7. 14
  8. 13
  9. 15
  10. 5
  11. 6
  12. 2
  13. 12
  14. 30
  15. 7
  16. 5
  17. 1
  18. 11
  19. 15
  20. 18
  21. 12
  22. 65
  23. 12
  24. 9
  25. 2
  26. 10
  27. 14
  28. 8
  29. 14
  30. 6
  31. 3
  32. 14
  33. 5
  34. 12
  35. 9
  36. 5
  37. 63
  38. 8
  39. 3
  40. 3

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