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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 648 · 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: t/4 + 10 = 17. What is t?
  2. 2.Solve: 3p + 17 = 47. What is p?
  3. 3.Meera thinks of a number, multiplies it by 7 and then adds 14. The result is 63. What is the number?
  4. 4.Riya is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  5. 5.Manav thinks of a number, multiplies it by 2 and then adds 5. The result is 21. What is the number?
  6. 6.Solve: 5(p + 9) = 120. What is p?
  7. 7.Saanvi is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  8. 8.Kabir thinks of a number, multiplies it by 2 and then adds 2. The result is 30. What is the number?
  9. 9.Joseph thinks of a number, multiplies it by 9 and then adds 8. The result is 44. What is the number?
  10. 10.Solve: 3p − 6 = 24. What is p?
  11. 11.Solve: 2t − 9 = 5. What is t?
  12. 12.Solve: t/7 + 14 = 17. What is t?
  13. 13.Solve: 3(x + 6) = 27. What is x?
  14. 14.Solve: 9(x + 6) = 180. What is x?
  15. 15.Solve: 9x + 20 = 47. What is x?
  16. 16.Solve: 7x + 5 = 40. What is x?
  17. 17.Solve: 5x − 22 = 48. What is x?
  18. 18.Solve: t/6 + 16 = 17. What is t?
  19. 19.Solve: t/8 + 20 = 34. What is t?
  20. 20.Solve: n/9 + 9 = 11. What is n?
  21. 21.Solve: 8x + 1 = 33. What is x?
  22. 22.Solve: 4(m + 6) = 56. What is m?
  23. 23.Solve: 9y − 96 = 30. What is y?
  24. 24.Solve: m/3 + 8 = 17. What is m?
  25. 25.Aditya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  26. 26.Solve: 5m − 9 = 51. What is m?
  27. 27.Solve: 4(m + 8) = 88. What is m?
  28. 28.Solve: 8p + 5 = 69. What is p?
  29. 29.Solve: 5(y + 1) = 40. What is y?
  30. 30.Gurpreet is 8 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  31. 31.Aarav thinks of a number, multiplies it by 4 and then adds 26. The result is 70. What is the number?
  32. 32.Solve: 6m − 31 = 29. What is m?
  33. 33.Solve: 2(y + 7) = 28. What is y?
  34. 34.Solve: 6n + 5 = 83. What is n?
  35. 35.Solve: 4t − 3 = 1. What is t?
  36. 36.Solve: 6x + 8 = 20. What is x?
  37. 37.Isha thinks of a number, multiplies it by 9 and then adds 7. The result is 133. What is the number?
  38. 38.Solve: x/7 + 10 = 11. What is x?
  39. 39.Solve: 5(m + 7) = 40. What is m?
  40. 40.Solve: 4m + 13 = 49. What is m?

Answer key

  1. 28
  2. 10
  3. 7
  4. 14
  5. 8
  6. 15
  7. 14
  8. 14
  9. 4
  10. 10
  11. 7
  12. 21
  13. 3
  14. 14
  15. 3
  16. 5
  17. 14
  18. 6
  19. 112
  20. 18
  21. 4
  22. 8
  23. 14
  24. 27
  25. 14
  26. 12
  27. 14
  28. 8
  29. 7
  30. 7
  31. 11
  32. 10
  33. 7
  34. 13
  35. 1
  36. 2
  37. 14
  38. 7
  39. 1
  40. 9

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