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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 211 · 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.Riya’s mother is four times as old as Riya. Their ages add up to 55 years. How old is Riya?
  2. 2.Solve: n/2 + 20 = 26. What is n?
  3. 3.Rohan thinks of a number, multiplies it by 6 and then adds 7. The result is 13. What is the number?
  4. 4.Isha thinks of a number, multiplies it by 4 and then adds 13. The result is 57. What is the number?
  5. 5.Pooja is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  6. 6.Solve: 9p − 48 = 51. What is p?
  7. 7.Solve: 4x − 9 = 11. What is x?
  8. 8.Solve: 3(y + 5) = 24. What is y?
  9. 9.Solve: n/2 + 3 = 13. What is n?
  10. 10.Rahul is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  11. 11.Solve: 3(p + 6) = 39. What is p?
  12. 12.Solve: t/6 + 13 = 23. What is t?
  13. 13.Solve: t/6 + 10 = 19. What is t?
  14. 14.Sneha is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  15. 15.Solve: 9n + 11 = 119. What is n?
  16. 16.Solve: 3m + 3 = 15. What is m?
  17. 17.Solve: 9x + 21 = 138. What is x?
  18. 18.Solve: 4x + 18 = 38. What is x?
  19. 19.Solve: 9y − 106 = 29. What is y?
  20. 20.Solve: p/6 + 17 = 22. What is p?
  21. 21.Lakshmi is 6 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  22. 22.Solve: 3x + 7 = 49. What is x?
  23. 23.Solve: 7(x + 3) = 63. What is x?
  24. 24.Isha is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  25. 25.Arjun’s mother is four times as old as Arjun. Their ages add up to 60 years. How old is Arjun?
  26. 26.Solve: 8m − 14 = 34. What is m?
  27. 27.Solve: 6(x + 8) = 72. What is x?
  28. 28.Solve: 6x + 6 = 12. What is x?
  29. 29.Solve: 5y − 8 = 7. What is y?
  30. 30.Solve: 4(y + 3) = 52. What is y?
  31. 31.Arjun’s mother is three times as old as Arjun. Their ages add up to 56 years. How old is Arjun?
  32. 32.Solve: 4x − 3 = 1. What is x?
  33. 33.Rohan is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  34. 34.Solve: 6(y + 3) = 30. What is y?
  35. 35.Solve: 6m + 8 = 14. What is m?
  36. 36.Dev thinks of a number, multiplies it by 5 and then adds 21. The result is 56. What is the number?
  37. 37.Tara thinks of a number, multiplies it by 2 and then adds 24. The result is 40. What is the number?
  38. 38.Solve: 8(x + 1) = 96. What is x?
  39. 39.Ishaan’s mother is four times as old as Ishaan. Their ages add up to 45 years. How old is Ishaan?
  40. 40.Solve: 9x − 112 = 23. What is x?

Answer key

  1. 11
  2. 12
  3. 1
  4. 11
  5. 10
  6. 11
  7. 5
  8. 3
  9. 20
  10. 12
  11. 7
  12. 60
  13. 54
  14. 12
  15. 12
  16. 4
  17. 13
  18. 5
  19. 15
  20. 30
  21. 14
  22. 14
  23. 6
  24. 15
  25. 12
  26. 6
  27. 4
  28. 1
  29. 3
  30. 10
  31. 14
  32. 1
  33. 6
  34. 2
  35. 1
  36. 7
  37. 8
  38. 11
  39. 9
  40. 15

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