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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 827 · 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.Ishaan thinks of a number, multiplies it by 4 and then adds 18. The result is 38. What is the number?
  2. 2.Solve: p/6 + 6 = 20. What is p?
  3. 3.Solve: 3(y + 3) = 54. What is y?
  4. 4.Solve: t/8 + 16 = 18. What is t?
  5. 5.Zoya thinks of a number, multiplies it by 7 and then adds 1. The result is 29. What is the number?
  6. 6.Solve: 9(n + 5) = 144. What is n?
  7. 7.Priya thinks of a number, multiplies it by 6 and then adds 23. The result is 41. What is the number?
  8. 8.Solve: 5n + 21 = 36. What is n?
  9. 9.Ananya thinks of a number, multiplies it by 2 and then adds 23. The result is 53. What is the number?
  10. 10.Solve: 3(p + 6) = 33. What is p?
  11. 11.Farhan’s mother is three times as old as Farhan. Their ages add up to 24 years. How old is Farhan?
  12. 12.Solve: 8(t + 7) = 176. What is t?
  13. 13.Manav thinks of a number, multiplies it by 3 and then adds 4. The result is 28. What is the number?
  14. 14.Karan’s mother is twice as old as Karan. Their ages add up to 12 years. How old is Karan?
  15. 15.Solve: n/8 + 4 = 11. What is n?
  16. 16.Solve: p/9 + 12 = 23. What is p?
  17. 17.Solve: y/6 + 19 = 28. What is y?
  18. 18.Solve: t/2 + 2 = 5. What is t?
  19. 19.Solve: 9x + 26 = 71. What is x?
  20. 20.Solve: 6y + 8 = 68. What is y?
  21. 21.Priya thinks of a number, multiplies it by 7 and then adds 18. The result is 109. What is the number?
  22. 22.Solve: 7x − 30 = 5. What is x?
  23. 23.Solve: 8y − 59 = 5. What is y?
  24. 24.Solve: 6p − 4 = 14. What is p?
  25. 25.Joseph thinks of a number, multiplies it by 2 and then adds 24. The result is 52. What is the number?
  26. 26.Riya thinks of a number, multiplies it by 3 and then adds 27. The result is 66. What is the number?
  27. 27.Arjun’s mother is four times as old as Arjun. Their ages add up to 45 years. How old is Arjun?
  28. 28.Solve: 6p − 17 = 55. What is p?
  29. 29.Farhan thinks of a number, multiplies it by 5 and then adds 4. The result is 24. What is the number?
  30. 30.Solve: 4x − 2 = 2. What is x?
  31. 31.Solve: p/3 + 20 = 25. What is p?
  32. 32.Karan is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  33. 33.Joseph thinks of a number, multiplies it by 9 and then adds 21. The result is 138. What is the number?
  34. 34.Solve: 5(x + 2) = 55. What is x?
  35. 35.Rahul thinks of a number, multiplies it by 2 and then adds 28. The result is 48. What is the number?
  36. 36.Pooja thinks of a number, multiplies it by 8 and then adds 7. The result is 23. What is the number?
  37. 37.Solve: 8n + 21 = 85. What is n?
  38. 38.Farhan is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  39. 39.Solve: 7m − 93 = 5. What is m?
  40. 40.Solve: 3y − 19 = 8. What is y?

Answer key

  1. 5
  2. 84
  3. 15
  4. 16
  5. 4
  6. 11
  7. 3
  8. 3
  9. 15
  10. 5
  11. 6
  12. 15
  13. 8
  14. 4
  15. 56
  16. 99
  17. 54
  18. 6
  19. 5
  20. 10
  21. 13
  22. 5
  23. 8
  24. 3
  25. 14
  26. 13
  27. 9
  28. 12
  29. 4
  30. 1
  31. 15
  32. 10
  33. 13
  34. 9
  35. 10
  36. 2
  37. 8
  38. 11
  39. 14
  40. 9

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