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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 506 · 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.Solve: 3m − 2 = 1. What is m?
  2. 2.Solve: 6y + 20 = 98. What is y?
  3. 3.Ananya thinks of a number, multiplies it by 2 and then adds 2. The result is 28. What is the number?
  4. 4.Solve: x/6 + 2 = 16. What is x?
  5. 5.Meera thinks of a number, multiplies it by 5 and then adds 6. The result is 61. What is the number?
  6. 6.Solve: 2(t + 5) = 34. What is t?
  7. 7.Solve: 3(x + 7) = 24. What is x?
  8. 8.Solve: 3(y + 2) = 18. What is y?
  9. 9.Dev thinks of a number, multiplies it by 3 and then adds 21. The result is 39. What is the number?
  10. 10.Farhan is 7 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  11. 11.Farhan’s mother is twice as old as Farhan. Their ages add up to 39 years. How old is Farhan?
  12. 12.Solve: 3p + 6 = 15. What is p?
  13. 13.Solve: n/6 + 10 = 17. What is n?
  14. 14.Solve: y/2 + 9 = 21. What is y?
  15. 15.Dev is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  16. 16.Solve: 3x + 26 = 68. What is x?
  17. 17.Sneha is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  18. 18.Karan’s mother is four times as old as Karan. Their ages add up to 20 years. How old is Karan?
  19. 19.Solve: 8y + 28 = 100. What is y?
  20. 20.Arjun is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  21. 21.Solve: 6(n + 4) = 90. What is n?
  22. 22.Solve: 2(m + 7) = 32. What is m?
  23. 23.Rohan’s mother is four times as old as Rohan. Their ages add up to 55 years. How old is Rohan?
  24. 24.Solve: 3x − 11 = 1. What is x?
  25. 25.Lakshmi thinks of a number, multiplies it by 6 and then adds 2. The result is 44. What is the number?
  26. 26.Tara thinks of a number, multiplies it by 7 and then adds 27. The result is 55. What is the number?
  27. 27.Solve: 4m + 10 = 34. What is m?
  28. 28.Solve: 6p + 18 = 108. What is p?
  29. 29.Rohan thinks of a number, multiplies it by 4 and then adds 17. The result is 57. What is the number?
  30. 30.Solve: 3n + 16 = 49. What is n?
  31. 31.Solve: 3y − 1 = 2. What is y?
  32. 32.Solve: 8p + 8 = 112. What is p?
  33. 33.Solve: 3(y + 8) = 30. What is y?
  34. 34.Solve: 6n − 12 = 42. What is n?
  35. 35.Solve: y/9 + 17 = 24. What is y?
  36. 36.Solve: 4m + 4 = 36. What is m?
  37. 37.Solve: y/9 + 10 = 21. What is y?
  38. 38.Solve: p/3 + 5 = 16. What is p?
  39. 39.Meera thinks of a number, multiplies it by 9 and then adds 10. The result is 46. What is the number?
  40. 40.Diya thinks of a number, multiplies it by 9 and then adds 7. The result is 124. What is the number?

Answer key

  1. 1
  2. 13
  3. 13
  4. 84
  5. 11
  6. 12
  7. 1
  8. 4
  9. 6
  10. 6
  11. 13
  12. 3
  13. 42
  14. 24
  15. 5
  16. 14
  17. 11
  18. 4
  19. 9
  20. 6
  21. 11
  22. 9
  23. 11
  24. 4
  25. 7
  26. 4
  27. 6
  28. 15
  29. 10
  30. 11
  31. 1
  32. 13
  33. 2
  34. 9
  35. 63
  36. 8
  37. 99
  38. 33
  39. 4
  40. 13

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