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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 366 · 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.Ananya’s mother is three times as old as Ananya. Their ages add up to 60 years. How old is Ananya?
  2. 2.Tara is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  3. 3.Solve: 8m − 2 = 6. What is m?
  4. 4.Solve: 3x + 18 = 42. What is x?
  5. 5.Solve: 2n − 1 = 1. What is n?
  6. 6.Solve: 2y − 1 = 1. What is y?
  7. 7.Priya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  8. 8.Saanvi is 7 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  9. 9.Solve: 2(x + 2) = 28. What is x?
  10. 10.Solve: 7p − 2 = 33. What is p?
  11. 11.Solve: 5(x + 6) = 85. What is x?
  12. 12.Vivaan thinks of a number, multiplies it by 2 and then adds 24. The result is 40. What is the number?
  13. 13.Solve: 2(x + 7) = 22. What is x?
  14. 14.Solve: 6y − 9 = 27. What is y?
  15. 15.Arjun thinks of a number, multiplies it by 4 and then adds 29. The result is 57. What is the number?
  16. 16.Solve: 4p − 23 = 5. What is p?
  17. 17.Solve: 4y − 2 = 6. What is y?
  18. 18.Solve: 3t − 5 = 1. What is t?
  19. 19.Solve: 2p + 17 = 21. What is p?
  20. 20.Solve: 7m + 20 = 41. What is m?
  21. 21.Solve: 5(n + 8) = 105. What is n?
  22. 22.Solve: x/6 + 20 = 32. What is x?
  23. 23.Solve: 5t − 29 = 1. What is t?
  24. 24.Solve: t/2 + 6 = 17. What is t?
  25. 25.Solve: 3y + 17 = 29. What is y?
  26. 26.Solve: 2x + 16 = 18. What is x?
  27. 27.Ananya’s mother is three times as old as Ananya. Their ages add up to 28 years. How old is Ananya?
  28. 28.Solve: 4y + 29 = 45. What is y?
  29. 29.Solve: 4x + 13 = 61. What is x?
  30. 30.Solve: t/7 + 11 = 26. What is t?
  31. 31.Solve: 3(y + 8) = 33. What is y?
  32. 32.Solve: 5n + 4 = 44. What is n?
  33. 33.Solve: 9(t + 4) = 126. What is t?
  34. 34.Kabir thinks of a number, multiplies it by 9 and then adds 6. The result is 141. What is the number?
  35. 35.Solve: 7(x + 1) = 63. What is x?
  36. 36.Solve: 3y + 7 = 46. What is y?
  37. 37.Solve: 2n − 13 = 1. What is n?
  38. 38.Solve: p/9 + 3 = 10. What is p?
  39. 39.Solve: y/3 + 8 = 23. What is y?
  40. 40.Vivaan is 5 years older than a cousin. Their ages add up to 15 years. How old is the cousin?

Answer key

  1. 15
  2. 5
  3. 1
  4. 8
  5. 1
  6. 1
  7. 14
  8. 9
  9. 12
  10. 5
  11. 11
  12. 8
  13. 4
  14. 6
  15. 7
  16. 7
  17. 2
  18. 2
  19. 2
  20. 3
  21. 13
  22. 72
  23. 6
  24. 22
  25. 4
  26. 1
  27. 7
  28. 4
  29. 12
  30. 105
  31. 3
  32. 8
  33. 10
  34. 15
  35. 8
  36. 13
  37. 7
  38. 63
  39. 45
  40. 5

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