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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 382 · 40 sums
TalentJR

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.Dev is 3 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  2. 2.Solve: 5(p + 6) = 55. What is p?
  3. 3.Solve: 7y − 31 = 18. What is y?
  4. 4.Solve: 9m + 18 = 63. What is m?
  5. 5.Zoya thinks of a number, multiplies it by 3 and then adds 7. The result is 10. What is the number?
  6. 6.Solve: 9(m + 6) = 162. What is m?
  7. 7.Solve: 4(y + 8) = 64. What is y?
  8. 8.Dev thinks of a number, multiplies it by 2 and then adds 6. The result is 14. What is the number?
  9. 9.Solve: 8y − 4 = 4. What is y?
  10. 10.Solve: 8n − 45 = 19. What is n?
  11. 11.Solve: 9t + 17 = 116. What is t?
  12. 12.Solve: 3(y + 3) = 54. What is y?
  13. 13.Solve: 5x + 29 = 69. What is x?
  14. 14.Isha is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  15. 15.Solve: 8n + 29 = 141. What is n?
  16. 16.Solve: 3y + 28 = 46. What is y?
  17. 17.Solve: x/6 + 8 = 10. What is x?
  18. 18.Solve: n/7 + 4 = 7. What is n?
  19. 19.Solve: 2t − 1 = 11. What is t?
  20. 20.Solve: 6n − 34 = 44. What is n?
  21. 21.Solve: 9n + 4 = 49. What is n?
  22. 22.Solve: 2m − 9 = 9. What is m?
  23. 23.Solve: x/5 + 11 = 14. What is x?
  24. 24.Solve: p/7 + 19 = 26. What is p?
  25. 25.Solve: 2y − 12 = 18. What is y?
  26. 26.Solve: 5x + 27 = 37. What is x?
  27. 27.Solve: y/7 + 19 = 25. What is y?
  28. 28.Solve: 7m − 71 = 13. What is m?
  29. 29.Solve: 9(t + 5) = 162. What is t?
  30. 30.Pooja is 6 years older than a cousin. Their ages add up to 28 years. How old is the cousin?
  31. 31.Solve: 8p − 61 = 3. What is p?
  32. 32.Joseph is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  33. 33.Solve: 9(t + 4) = 117. What is t?
  34. 34.Karan thinks of a number, multiplies it by 9 and then adds 28. The result is 163. What is the number?
  35. 35.Diya thinks of a number, multiplies it by 2 and then adds 12. The result is 26. What is the number?
  36. 36.Solve: m/4 + 20 = 29. What is m?
  37. 37.Manav thinks of a number, multiplies it by 3 and then adds 3. The result is 15. What is the number?
  38. 38.Solve: 9p + 19 = 64. What is p?
  39. 39.Solve: 3n − 3 = 27. What is n?
  40. 40.Solve: p/2 + 3 = 15. What is p?

Answer key

  1. 14
  2. 5
  3. 7
  4. 5
  5. 1
  6. 12
  7. 8
  8. 4
  9. 1
  10. 8
  11. 11
  12. 15
  13. 8
  14. 6
  15. 14
  16. 6
  17. 12
  18. 21
  19. 6
  20. 13
  21. 5
  22. 9
  23. 15
  24. 49
  25. 15
  26. 2
  27. 42
  28. 12
  29. 13
  30. 11
  31. 8
  32. 15
  33. 9
  34. 15
  35. 7
  36. 36
  37. 4
  38. 5
  39. 10
  40. 24

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