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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 765 · 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.Solve: 2m − 15 = 7. What is m?
  2. 2.Solve: 9(t + 4) = 171. What is t?
  3. 3.Solve: 3m − 7 = 17. What is m?
  4. 4.Solve: x/2 + 4 = 12. What is x?
  5. 5.Solve: 4p − 10 = 30. What is p?
  6. 6.Solve: 9t + 6 = 33. What is t?
  7. 7.Pooja is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  8. 8.Gurpreet is 6 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  9. 9.Manav is 7 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  10. 10.Solve: 6y − 5 = 7. What is y?
  11. 11.Solve: 4n − 1 = 3. What is n?
  12. 12.Aarav thinks of a number, multiplies it by 9 and then adds 7. The result is 43. What is the number?
  13. 13.Isha thinks of a number, multiplies it by 6 and then adds 2. The result is 74. What is the number?
  14. 14.Solve: 2y − 3 = 1. What is y?
  15. 15.Solve: 7p − 31 = 11. What is p?
  16. 16.Solve: y/5 + 13 = 14. What is y?
  17. 17.Ishaan thinks of a number, multiplies it by 4 and then adds 5. The result is 65. What is the number?
  18. 18.Nisha is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  19. 19.Solve: 2(m + 8) = 34. What is m?
  20. 20.Solve: n/5 + 1 = 5. What is n?
  21. 21.Lakshmi thinks of a number, multiplies it by 6 and then adds 1. The result is 67. What is the number?
  22. 22.Pooja is 2 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  23. 23.Arjun’s mother is four times as old as Arjun. Their ages add up to 40 years. How old is Arjun?
  24. 24.Solve: 9t − 64 = 35. What is t?
  25. 25.Solve: p/9 + 14 = 23. What is p?
  26. 26.Solve: 7(n + 8) = 112. What is n?
  27. 27.Solve: 3(t + 2) = 36. What is t?
  28. 28.Solve: 2n − 10 = 4. What is n?
  29. 29.Solve: 4n + 1 = 29. What is n?
  30. 30.Solve: 2x + 10 = 14. What is x?
  31. 31.Solve: 4t − 15 = 1. What is t?
  32. 32.Dev is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  33. 33.Solve: 3x + 25 = 37. What is x?
  34. 34.Solve: 2(m + 5) = 36. What is m?
  35. 35.Solve: 2n + 25 = 49. What is n?
  36. 36.Meera is 1 years older than a cousin. Their ages add up to 11 years. How old is the cousin?
  37. 37.Solve: 9n + 3 = 39. What is n?
  38. 38.Isha thinks of a number, multiplies it by 5 and then adds 3. The result is 18. What is the number?
  39. 39.Riya thinks of a number, multiplies it by 7 and then adds 1. The result is 43. What is the number?
  40. 40.Rohan is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?

Answer key

  1. 11
  2. 15
  3. 8
  4. 16
  5. 10
  6. 3
  7. 5
  8. 8
  9. 12
  10. 2
  11. 1
  12. 4
  13. 12
  14. 2
  15. 6
  16. 5
  17. 15
  18. 15
  19. 9
  20. 20
  21. 11
  22. 14
  23. 8
  24. 11
  25. 81
  26. 8
  27. 10
  28. 7
  29. 7
  30. 2
  31. 4
  32. 8
  33. 4
  34. 13
  35. 12
  36. 5
  37. 4
  38. 3
  39. 6
  40. 13

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