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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 656 · 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: n/4 + 3 = 8. What is n?
  2. 2.Riya thinks of a number, multiplies it by 7 and then adds 1. The result is 64. What is the number?
  3. 3.Solve: 4m − 12 = 4. What is m?
  4. 4.Solve: 9(x + 6) = 153. What is x?
  5. 5.Solve: 2y + 1 = 19. What is y?
  6. 6.Manav thinks of a number, multiplies it by 7 and then adds 10. The result is 59. What is the number?
  7. 7.Solve: 4n − 1 = 19. What is n?
  8. 8.Solve: 2t − 3 = 15. What is t?
  9. 9.Kabir thinks of a number, multiplies it by 3 and then adds 15. The result is 33. What is the number?
  10. 10.Solve: n/9 + 14 = 26. What is n?
  11. 11.Solve: n/3 + 4 = 5. What is n?
  12. 12.Solve: 2p + 24 = 52. What is p?
  13. 13.Solve: y/6 + 10 = 22. What is y?
  14. 14.Zoya thinks of a number, multiplies it by 2 and then adds 4. The result is 16. What is the number?
  15. 15.Ishaan thinks of a number, multiplies it by 6 and then adds 20. The result is 74. What is the number?
  16. 16.Solve: 3(t + 1) = 15. What is t?
  17. 17.Solve: 3(m + 8) = 33. What is m?
  18. 18.Solve: 7x + 5 = 110. What is x?
  19. 19.Kabir thinks of a number, multiplies it by 4 and then adds 2. The result is 18. What is the number?
  20. 20.Solve: 5y + 9 = 34. What is y?
  21. 21.Solve: y/7 + 2 = 7. What is y?
  22. 22.Solve: y/6 + 3 = 6. What is y?
  23. 23.Solve: 2x − 1 = 3. What is x?
  24. 24.Kabir is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  25. 25.Joseph thinks of a number, multiplies it by 9 and then adds 26. The result is 107. What is the number?
  26. 26.Kabir is 1 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 2y − 1 = 1. What is y?
  28. 28.Solve: 2x − 13 = 7. What is x?
  29. 29.Solve: 2n − 6 = 14. What is n?
  30. 30.Kavya is 2 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  31. 31.Solve: 4(m + 7) = 80. What is m?
  32. 32.Solve: 9n − 14 = 85. What is n?
  33. 33.Sneha is 5 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  34. 34.Solve: 7t + 12 = 19. What is t?
  35. 35.Solve: 8n + 15 = 135. What is n?
  36. 36.Solve: 2x + 25 = 53. What is x?
  37. 37.Solve: 2y − 2 = 2. What is y?
  38. 38.Solve: 6y + 4 = 88. What is y?
  39. 39.Dev thinks of a number, multiplies it by 2 and then adds 17. The result is 43. What is the number?
  40. 40.Solve: 8(n + 4) = 152. What is n?

Answer key

  1. 20
  2. 9
  3. 4
  4. 11
  5. 9
  6. 7
  7. 5
  8. 9
  9. 6
  10. 108
  11. 3
  12. 14
  13. 72
  14. 6
  15. 9
  16. 4
  17. 3
  18. 15
  19. 4
  20. 5
  21. 35
  22. 18
  23. 2
  24. 5
  25. 9
  26. 9
  27. 1
  28. 10
  29. 10
  30. 11
  31. 13
  32. 11
  33. 10
  34. 1
  35. 15
  36. 14
  37. 2
  38. 14
  39. 13
  40. 15

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