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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 130 · 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/3 + 9 = 15. What is x?
  2. 2.Solve: 2n + 8 = 22. What is n?
  3. 3.Solve: 6n + 21 = 81. What is n?
  4. 4.Solve: 7x − 15 = 48. What is x?
  5. 5.Solve: 4y − 7 = 1. What is y?
  6. 6.Solve: 8p − 31 = 9. What is p?
  7. 7.Karan thinks of a number, multiplies it by 9 and then adds 17. The result is 71. What is the number?
  8. 8.Aarav thinks of a number, multiplies it by 3 and then adds 24. The result is 57. What is the number?
  9. 9.Solve: 8x + 10 = 122. What is x?
  10. 10.Solve: y/3 + 20 = 32. What is y?
  11. 11.Solve: x/3 + 18 = 28. What is x?
  12. 12.Solve: 5p − 12 = 48. What is p?
  13. 13.Solve: 5y − 3 = 27. What is y?
  14. 14.Ananya thinks of a number, multiplies it by 8 and then adds 30. The result is 54. What is the number?
  15. 15.Solve: 4t + 19 = 35. What is t?
  16. 16.Ananya is 5 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  17. 17.Solve: 8(t + 7) = 160. What is t?
  18. 18.Solve: 3x + 5 = 14. What is x?
  19. 19.Solve: 6x + 7 = 25. What is x?
  20. 20.Solve: 2n + 8 = 24. What is n?
  21. 21.Meera’s mother is three times as old as Meera. Their ages add up to 16 years. How old is Meera?
  22. 22.Solve: t/5 + 20 = 33. What is t?
  23. 23.Saanvi thinks of a number, multiplies it by 2 and then adds 18. The result is 44. What is the number?
  24. 24.Isha is 3 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  25. 25.Rahul is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  26. 26.Sneha is 3 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  27. 27.Solve: 4t − 20 = 28. What is t?
  28. 28.Solve: 7(x + 9) = 77. What is x?
  29. 29.Solve: 9p − 21 = 114. What is p?
  30. 30.Solve: y/9 + 3 = 18. What is y?
  31. 31.Solve: 3(p + 7) = 39. What is p?
  32. 32.Solve: 3(y + 4) = 51. What is y?
  33. 33.Solve: 2(m + 2) = 10. What is m?
  34. 34.Solve: 2x + 19 = 45. What is x?
  35. 35.Solve: 8(x + 3) = 72. What is x?
  36. 36.Isha is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  37. 37.Solve: 4(p + 1) = 32. What is p?
  38. 38.Solve: 4p + 15 = 19. What is p?
  39. 39.Solve: 7p + 7 = 28. What is p?
  40. 40.Solve: n/6 + 5 = 17. What is n?

Answer key

  1. 18
  2. 7
  3. 10
  4. 9
  5. 2
  6. 5
  7. 6
  8. 11
  9. 14
  10. 36
  11. 30
  12. 12
  13. 6
  14. 3
  15. 4
  16. 6
  17. 13
  18. 3
  19. 3
  20. 8
  21. 4
  22. 65
  23. 13
  24. 4
  25. 6
  26. 9
  27. 12
  28. 2
  29. 15
  30. 135
  31. 6
  32. 13
  33. 3
  34. 13
  35. 6
  36. 7
  37. 7
  38. 1
  39. 3
  40. 72

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