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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 679 · 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: 5x + 28 = 88. What is x?
  2. 2.Solve: 5x − 34 = 16. What is x?
  3. 3.Solve: 7x − 19 = 2. What is x?
  4. 4.Solve: 4(y + 2) = 68. What is y?
  5. 5.Solve: 3(y + 6) = 30. What is y?
  6. 6.Solve: 7x + 25 = 81. What is x?
  7. 7.Solve: p/8 + 15 = 19. What is p?
  8. 8.Solve: x/9 + 8 = 16. What is x?
  9. 9.Solve: 6t + 21 = 75. What is t?
  10. 10.Solve: 5(n + 2) = 80. What is n?
  11. 11.Saanvi thinks of a number, multiplies it by 5 and then adds 25. The result is 80. What is the number?
  12. 12.Rahul’s mother is four times as old as Rahul. Their ages add up to 50 years. How old is Rahul?
  13. 13.Solve: 9(x + 8) = 117. What is x?
  14. 14.Solve: m/2 + 20 = 34. What is m?
  15. 15.Solve: 4n − 7 = 45. What is n?
  16. 16.Solve: 7(p + 3) = 49. What is p?
  17. 17.Solve: y/9 + 2 = 6. What is y?
  18. 18.Solve: 9p + 16 = 25. What is p?
  19. 19.Solve: p/4 + 20 = 24. What is p?
  20. 20.Manav is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  21. 21.Vivaan thinks of a number, multiplies it by 8 and then adds 5. The result is 101. What is the number?
  22. 22.Solve: 9x − 17 = 91. What is x?
  23. 23.Solve: 3t − 8 = 28. What is t?
  24. 24.Solve: 6n + 4 = 52. What is n?
  25. 25.Solve: 8(t + 9) = 136. What is t?
  26. 26.Solve: 3t + 2 = 14. What is t?
  27. 27.Farhan thinks of a number, multiplies it by 4 and then adds 12. The result is 36. What is the number?
  28. 28.Diya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  29. 29.Solve: 4m + 10 = 46. What is m?
  30. 30.Aarav is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  31. 31.Solve: p/6 + 6 = 8. What is p?
  32. 32.Solve: 5(x + 3) = 75. What is x?
  33. 33.Solve: x/5 + 10 = 19. What is x?
  34. 34.Solve: 5t − 29 = 1. What is t?
  35. 35.Diya is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  36. 36.Nisha thinks of a number, multiplies it by 6 and then adds 8. The result is 92. What is the number?
  37. 37.Manav is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  38. 38.Solve: 3m − 2 = 1. What is m?
  39. 39.Solve: 6n + 16 = 64. What is n?
  40. 40.Solve: 8(y + 6) = 112. What is y?

Answer key

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

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