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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 723 · 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.Ananya thinks of a number, multiplies it by 3 and then adds 23. The result is 38. What is the number?
  2. 2.Farhan thinks of a number, multiplies it by 2 and then adds 8. The result is 32. What is the number?
  3. 3.Solve: 5(x + 7) = 50. What is x?
  4. 4.Solve: 8(x + 6) = 152. What is x?
  5. 5.Solve: 7t − 11 = 10. What is t?
  6. 6.Solve: t/8 + 17 = 18. What is t?
  7. 7.Solve: 7(m + 3) = 77. What is m?
  8. 8.Dev’s mother is twice as old as Dev. Their ages add up to 18 years. How old is Dev?
  9. 9.Rohan thinks of a number, multiplies it by 3 and then adds 13. The result is 43. What is the number?
  10. 10.Solve: 6y + 4 = 88. What is y?
  11. 11.Solve: p/6 + 6 = 7. What is p?
  12. 12.Solve: 2p − 12 = 10. What is p?
  13. 13.Solve: 7x − 10 = 11. What is x?
  14. 14.Solve: x/4 + 16 = 22. What is x?
  15. 15.Solve: 4t + 3 = 15. What is t?
  16. 16.Solve: 8(y + 5) = 120. What is y?
  17. 17.Solve: 7m + 11 = 95. What is m?
  18. 18.Karan thinks of a number, multiplies it by 7 and then adds 6. The result is 20. What is the number?
  19. 19.Solve: x/7 + 3 = 14. What is x?
  20. 20.Pooja thinks of a number, multiplies it by 9 and then adds 19. The result is 118. What is the number?
  21. 21.Solve: x/9 + 14 = 21. What is x?
  22. 22.Solve: 7n − 9 = 33. What is n?
  23. 23.Solve: 2(t + 5) = 34. What is t?
  24. 24.Solve: 3m + 22 = 31. What is m?
  25. 25.Solve: 7n + 18 = 46. What is n?
  26. 26.Rahul is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  27. 27.Solve: 3(m + 4) = 15. What is m?
  28. 28.Solve: 7x + 27 = 125. What is x?
  29. 29.Rahul thinks of a number, multiplies it by 9 and then adds 15. The result is 141. What is the number?
  30. 30.Solve: 7t + 29 = 64. What is t?
  31. 31.Solve: x/8 + 9 = 15. What is x?
  32. 32.Solve: 8t + 20 = 52. What is t?
  33. 33.Solve: m/4 + 7 = 21. What is m?
  34. 34.Solve: 8(n + 6) = 168. What is n?
  35. 35.Solve: 3(t + 3) = 48. What is t?
  36. 36.Meera thinks of a number, multiplies it by 6 and then adds 11. The result is 53. What is the number?
  37. 37.Lakshmi thinks of a number, multiplies it by 3 and then adds 23. The result is 53. What is the number?
  38. 38.Solve: p/3 + 10 = 24. What is p?
  39. 39.Kavya thinks of a number, multiplies it by 3 and then adds 24. The result is 54. What is the number?
  40. 40.Nisha is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?

Answer key

  1. 5
  2. 12
  3. 3
  4. 13
  5. 3
  6. 8
  7. 8
  8. 6
  9. 10
  10. 14
  11. 6
  12. 11
  13. 3
  14. 24
  15. 3
  16. 10
  17. 12
  18. 2
  19. 77
  20. 11
  21. 63
  22. 6
  23. 12
  24. 3
  25. 4
  26. 8
  27. 1
  28. 14
  29. 14
  30. 5
  31. 48
  32. 4
  33. 56
  34. 15
  35. 13
  36. 7
  37. 10
  38. 42
  39. 10
  40. 12

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