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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 21 · 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.Dev thinks of a number, multiplies it by 4 and then adds 10. The result is 50. What is the number?
  2. 2.Solve: x/4 + 3 = 13. What is x?
  3. 3.Aarav thinks of a number, multiplies it by 6 and then adds 26. The result is 50. What is the number?
  4. 4.Meera’s mother is three times as old as Meera. Their ages add up to 24 years. How old is Meera?
  5. 5.Solve: 7t + 14 = 112. What is t?
  6. 6.Lakshmi thinks of a number, multiplies it by 3 and then adds 28. The result is 70. What is the number?
  7. 7.Solve: p/6 + 8 = 13. What is p?
  8. 8.Gurpreet thinks of a number, multiplies it by 2 and then adds 7. The result is 13. What is the number?
  9. 9.Solve: 2m − 6 = 4. What is m?
  10. 10.Solve: 9p − 6 = 48. What is p?
  11. 11.Solve: 8n + 7 = 87. What is n?
  12. 12.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  13. 13.Nisha thinks of a number, multiplies it by 8 and then adds 3. The result is 19. What is the number?
  14. 14.Solve: 2y − 2 = 2. What is y?
  15. 15.Solve: 3y − 14 = 10. What is y?
  16. 16.Solve: 5p − 11 = 24. What is p?
  17. 17.Riya’s mother is four times as old as Riya. Their ages add up to 25 years. How old is Riya?
  18. 18.Solve: x/9 + 4 = 9. What is x?
  19. 19.Solve: 3x + 26 = 44. What is x?
  20. 20.Solve: 6(y + 6) = 84. What is y?
  21. 21.Solve: 2(t + 5) = 34. What is t?
  22. 22.Sneha thinks of a number, multiplies it by 9 and then adds 2. The result is 47. What is the number?
  23. 23.Solve: 5m + 23 = 58. What is m?
  24. 24.Karan thinks of a number, multiplies it by 2 and then adds 19. The result is 41. What is the number?
  25. 25.Kavya thinks of a number, multiplies it by 3 and then adds 10. The result is 34. What is the number?
  26. 26.Solve: 3(m + 8) = 45. What is m?
  27. 27.Solve: p/4 + 7 = 19. What is p?
  28. 28.Arjun is 6 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  29. 29.Solve: 9(x + 3) = 90. What is x?
  30. 30.Solve: t/8 + 5 = 6. What is t?
  31. 31.Solve: 7y − 62 = 43. What is y?
  32. 32.Solve: 4x + 2 = 10. What is x?
  33. 33.Solve: 5(m + 6) = 40. What is m?
  34. 34.Solve: 8(p + 7) = 176. What is p?
  35. 35.Solve: 5p − 12 = 43. What is p?
  36. 36.Solve: 2p − 1 = 1. What is p?
  37. 37.Karan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  38. 38.Solve: 9m − 10 = 98. What is m?
  39. 39.Aditya’s mother is four times as old as Aditya. Their ages add up to 60 years. How old is Aditya?
  40. 40.Solve: 8(p + 6) = 168. What is p?

Answer key

  1. 10
  2. 40
  3. 4
  4. 6
  5. 14
  6. 14
  7. 30
  8. 3
  9. 5
  10. 6
  11. 10
  12. 14
  13. 2
  14. 2
  15. 8
  16. 7
  17. 5
  18. 45
  19. 6
  20. 8
  21. 12
  22. 5
  23. 7
  24. 11
  25. 8
  26. 7
  27. 48
  28. 10
  29. 7
  30. 8
  31. 15
  32. 2
  33. 2
  34. 15
  35. 11
  36. 1
  37. 7
  38. 12
  39. 12
  40. 15

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