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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 918 · 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.Farhan thinks of a number, multiplies it by 3 and then adds 26. The result is 32. What is the number?
  2. 2.Kabir’s mother is four times as old as Kabir. Their ages add up to 35 years. How old is Kabir?
  3. 3.Arjun thinks of a number, multiplies it by 2 and then adds 8. The result is 24. What is the number?
  4. 4.Karan thinks of a number, multiplies it by 2 and then adds 30. The result is 46. What is the number?
  5. 5.Solve: 6(x + 1) = 24. What is x?
  6. 6.Ananya is 7 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  7. 7.Diya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  8. 8.Arjun thinks of a number, multiplies it by 6 and then adds 16. The result is 52. What is the number?
  9. 9.Solve: p/7 + 7 = 14. What is p?
  10. 10.Solve: 9p − 55 = 35. What is p?
  11. 11.Dev thinks of a number, multiplies it by 8 and then adds 27. The result is 147. What is the number?
  12. 12.Solve: 7t + 25 = 46. What is t?
  13. 13.Kabir thinks of a number, multiplies it by 4 and then adds 11. The result is 15. What is the number?
  14. 14.Diya thinks of a number, multiplies it by 8 and then adds 2. The result is 98. What is the number?
  15. 15.Solve: 2n − 1 = 1. What is n?
  16. 16.Solve: y/4 + 13 = 23. What is y?
  17. 17.Solve: n/2 + 13 = 26. What is n?
  18. 18.Solve: t/2 + 9 = 16. What is t?
  19. 19.Solve: 4(y + 7) = 56. What is y?
  20. 20.Solve: 2(x + 4) = 14. What is x?
  21. 21.Rohan is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  22. 22.Solve: 6n + 12 = 48. What is n?
  23. 23.Solve: 4p + 28 = 32. What is p?
  24. 24.Solve: 8p − 2 = 6. What is p?
  25. 25.Arjun’s mother is twice as old as Arjun. Their ages add up to 12 years. How old is Arjun?
  26. 26.Solve: 8(p + 8) = 128. What is p?
  27. 27.Solve: 4x − 3 = 13. What is x?
  28. 28.Isha thinks of a number, multiplies it by 5 and then adds 2. The result is 22. What is the number?
  29. 29.Solve: 2x + 2 = 26. What is x?
  30. 30.Solve: 5(y + 3) = 35. What is y?
  31. 31.Solve: 3y − 5 = 40. What is y?
  32. 32.Solve: 3(p + 5) = 57. What is p?
  33. 33.Solve: 3(x + 7) = 45. What is x?
  34. 34.Solve: m/5 + 13 = 20. What is m?
  35. 35.Solve: 7x + 7 = 77. What is x?
  36. 36.Solve: 9y − 12 = 42. What is y?
  37. 37.Diya thinks of a number, multiplies it by 4 and then adds 1. The result is 57. What is the number?
  38. 38.Arjun’s mother is three times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  39. 39.Ananya thinks of a number, multiplies it by 2 and then adds 13. The result is 27. What is the number?
  40. 40.Kabir thinks of a number, multiplies it by 8 and then adds 26. The result is 138. What is the number?

Answer key

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

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