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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 452 · 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: 6x − 14 = 10. What is x?
  2. 2.Meera thinks of a number, multiplies it by 5 and then adds 4. The result is 24. What is the number?
  3. 3.Solve: 8x − 12 = 68. What is x?
  4. 4.Solve: 5x − 17 = 18. What is x?
  5. 5.Solve: n/3 + 14 = 26. What is n?
  6. 6.Solve: 2t + 29 = 39. What is t?
  7. 7.Rohan thinks of a number, multiplies it by 8 and then adds 24. The result is 120. What is the number?
  8. 8.Vivaan thinks of a number, multiplies it by 2 and then adds 8. The result is 38. What is the number?
  9. 9.Ananya is 1 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  10. 10.Pooja thinks of a number, multiplies it by 6 and then adds 9. The result is 63. What is the number?
  11. 11.Tara’s mother is four times as old as Tara. Their ages add up to 35 years. How old is Tara?
  12. 12.Solve: 5p + 22 = 47. What is p?
  13. 13.Rahul is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  14. 14.Solve: 9y − 28 = 8. What is y?
  15. 15.Meera’s mother is twice as old as Meera. Their ages add up to 42 years. How old is Meera?
  16. 16.Diya’s mother is three times as old as Diya. Their ages add up to 40 years. How old is Diya?
  17. 17.Pooja is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  18. 18.Solve: t/3 + 2 = 4. What is t?
  19. 19.Solve: 7n − 66 = 39. What is n?
  20. 20.Solve: p/4 + 10 = 11. What is p?
  21. 21.Solve: 3n + 17 = 56. What is n?
  22. 22.Pooja thinks of a number, multiplies it by 6 and then adds 2. The result is 50. What is the number?
  23. 23.Solve: 8(n + 6) = 128. What is n?
  24. 24.Solve: x/4 + 20 = 27. What is x?
  25. 25.Solve: 6(t + 3) = 84. What is t?
  26. 26.Solve: m/9 + 10 = 15. What is m?
  27. 27.Solve: 7y − 13 = 8. What is y?
  28. 28.Riya thinks of a number, multiplies it by 5 and then adds 26. The result is 51. What is the number?
  29. 29.Pooja thinks of a number, multiplies it by 8 and then adds 6. The result is 30. What is the number?
  30. 30.Solve: 8m + 25 = 49. What is m?
  31. 31.Solve: 3(t + 7) = 45. What is t?
  32. 32.Solve: 3m + 2 = 26. What is m?
  33. 33.Arjun is 8 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  34. 34.Priya thinks of a number, multiplies it by 3 and then adds 14. The result is 20. What is the number?
  35. 35.Aditya thinks of a number, multiplies it by 4 and then adds 28. The result is 40. What is the number?
  36. 36.Solve: 3(x + 4) = 27. What is x?
  37. 37.Saanvi thinks of a number, multiplies it by 7 and then adds 17. The result is 59. What is the number?
  38. 38.Solve: 6(m + 9) = 78. What is m?
  39. 39.Solve: 8(p + 8) = 144. What is p?
  40. 40.Solve: 6n + 18 = 54. What is n?

Answer key

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

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