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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 639 · 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/5 + 5 = 8. What is x?
  2. 2.Solve: 7n − 4 = 10. What is n?
  3. 3.Aarav’s mother is twice as old as Aarav. Their ages add up to 42 years. How old is Aarav?
  4. 4.Dev is 4 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  5. 5.Kavya thinks of a number, multiplies it by 2 and then adds 30. The result is 42. What is the number?
  6. 6.Solve: m/3 + 11 = 17. What is m?
  7. 7.Ananya thinks of a number, multiplies it by 6 and then adds 16. The result is 58. What is the number?
  8. 8.Solve: t/3 + 14 = 17. What is t?
  9. 9.Solve: m/8 + 1 = 11. What is m?
  10. 10.Diya thinks of a number, multiplies it by 3 and then adds 24. The result is 33. What is the number?
  11. 11.Meera thinks of a number, multiplies it by 2 and then adds 30. The result is 40. What is the number?
  12. 12.Saanvi is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  13. 13.Solve: x/3 + 3 = 8. What is x?
  14. 14.Solve: 3p + 13 = 58. What is p?
  15. 15.Solve: 2(y + 7) = 34. What is y?
  16. 16.Ananya thinks of a number, multiplies it by 5 and then adds 22. The result is 37. What is the number?
  17. 17.Solve: 9n − 30 = 33. What is n?
  18. 18.Pooja is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  19. 19.Kabir thinks of a number, multiplies it by 2 and then adds 18. The result is 22. What is the number?
  20. 20.Karan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  21. 21.Solve: 2n − 1 = 3. What is n?
  22. 22.Solve: p/9 + 11 = 23. What is p?
  23. 23.Solve: y/5 + 16 = 17. What is y?
  24. 24.Isha thinks of a number, multiplies it by 7 and then adds 1. The result is 43. What is the number?
  25. 25.Solve: 8n + 20 = 36. What is n?
  26. 26.Solve: 9p + 13 = 76. What is p?
  27. 27.Solve: m/9 + 12 = 27. What is m?
  28. 28.Solve: x/4 + 4 = 14. What is x?
  29. 29.Solve: 3t − 19 = 26. What is t?
  30. 30.Solve: 4t + 1 = 17. What is t?
  31. 31.Solve: 4(m + 9) = 72. What is m?
  32. 32.Solve: 8t − 16 = 104. What is t?
  33. 33.Solve: x/6 + 20 = 35. What is x?
  34. 34.Solve: 6(y + 3) = 66. What is y?
  35. 35.Solve: 9(x + 6) = 117. What is x?
  36. 36.Solve: 3y − 15 = 24. What is y?
  37. 37.Solve: 6p + 26 = 44. What is p?
  38. 38.Solve: 2y + 27 = 47. What is y?
  39. 39.Solve: 6(x + 5) = 48. What is x?
  40. 40.Solve: 2y − 7 = 9. What is y?

Answer key

  1. 15
  2. 2
  3. 14
  4. 8
  5. 6
  6. 18
  7. 7
  8. 9
  9. 80
  10. 3
  11. 5
  12. 10
  13. 15
  14. 15
  15. 10
  16. 3
  17. 7
  18. 8
  19. 2
  20. 4
  21. 2
  22. 108
  23. 5
  24. 6
  25. 2
  26. 7
  27. 135
  28. 40
  29. 15
  30. 4
  31. 9
  32. 15
  33. 90
  34. 8
  35. 7
  36. 13
  37. 3
  38. 10
  39. 3
  40. 8

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