← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 940 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Solve: y/2 + 19 = 33. What is y?
  2. 2.Isha is 7 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  3. 3.Ananya’s mother is three times as old as Ananya. Their ages add up to 56 years. How old is Ananya?
  4. 4.Meera’s mother is four times as old as Meera. Their ages add up to 60 years. How old is Meera?
  5. 5.Diya thinks of a number, multiplies it by 5 and then adds 14. The result is 44. What is the number?
  6. 6.Solve: 9y + 17 = 107. What is y?
  7. 7.Solve: 9t − 1 = 35. What is t?
  8. 8.Solve: 9p − 4 = 131. What is p?
  9. 9.Kabir’s mother is twice as old as Kabir. Their ages add up to 15 years. How old is Kabir?
  10. 10.Kavya is 8 years older than a cousin. Their ages add up to 38 years. How old is the cousin?
  11. 11.Pooja’s mother is four times as old as Pooja. Their ages add up to 20 years. How old is Pooja?
  12. 12.Solve: 6y + 7 = 25. What is y?
  13. 13.Solve: 9x + 1 = 10. What is x?
  14. 14.Solve: 2n + 17 = 45. What is n?
  15. 15.Solve: 8n + 17 = 81. What is n?
  16. 16.Ishaan thinks of a number, multiplies it by 7 and then adds 7. The result is 42. What is the number?
  17. 17.Solve: 4p + 11 = 51. What is p?
  18. 18.Ananya thinks of a number, multiplies it by 3 and then adds 9. The result is 21. What is the number?
  19. 19.Lakshmi thinks of a number, multiplies it by 3 and then adds 17. The result is 29. What is the number?
  20. 20.Gurpreet thinks of a number, multiplies it by 3 and then adds 17. The result is 20. What is the number?
  21. 21.Solve: 2(x + 4) = 10. What is x?
  22. 22.Solve: m/7 + 9 = 24. What is m?
  23. 23.Riya thinks of a number, multiplies it by 5 and then adds 25. The result is 75. What is the number?
  24. 24.Solve: 7(n + 4) = 105. What is n?
  25. 25.Solve: 4p + 5 = 29. What is p?
  26. 26.Solve: 5y + 28 = 63. What is y?
  27. 27.Solve: 4m − 29 = 11. What is m?
  28. 28.Solve: 3p + 10 = 22. What is p?
  29. 29.Solve: 4t + 15 = 63. What is t?
  30. 30.Diya’s mother is four times as old as Diya. Their ages add up to 35 years. How old is Diya?
  31. 31.Solve: 5x − 9 = 6. What is x?
  32. 32.Solve: 3(y + 1) = 12. What is y?
  33. 33.Solve: 8p + 30 = 102. What is p?
  34. 34.Zoya thinks of a number, multiplies it by 5 and then adds 14. The result is 74. What is the number?
  35. 35.Solve: m/8 + 15 = 23. What is m?
  36. 36.Diya is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  37. 37.Isha thinks of a number, multiplies it by 6 and then adds 16. The result is 34. What is the number?
  38. 38.Solve: 2n − 10 = 6. What is n?
  39. 39.Solve: 5x − 49 = 26. What is x?
  40. 40.Solve: x/8 + 19 = 33. What is x?

Answer key

  1. 28
  2. 4
  3. 14
  4. 12
  5. 6
  6. 10
  7. 4
  8. 15
  9. 5
  10. 15
  11. 4
  12. 3
  13. 1
  14. 14
  15. 8
  16. 5
  17. 10
  18. 4
  19. 4
  20. 1
  21. 1
  22. 105
  23. 10
  24. 11
  25. 6
  26. 7
  27. 10
  28. 4
  29. 12
  30. 7
  31. 3
  32. 3
  33. 9
  34. 12
  35. 64
  36. 14
  37. 3
  38. 8
  39. 15
  40. 112

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets