← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 268 · 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.Gurpreet is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  2. 2.Solve: 9m + 27 = 153. What is m?
  3. 3.Isha thinks of a number, multiplies it by 6 and then adds 8. The result is 68. What is the number?
  4. 4.Solve: 5(t + 3) = 90. What is t?
  5. 5.Solve: 7m − 8 = 55. What is m?
  6. 6.Aarav thinks of a number, multiplies it by 7 and then adds 29. The result is 113. What is the number?
  7. 7.Solve: 8n + 8 = 24. What is n?
  8. 8.Ananya thinks of a number, multiplies it by 3 and then adds 21. The result is 27. What is the number?
  9. 9.Pooja thinks of a number, multiplies it by 4 and then adds 3. The result is 11. What is the number?
  10. 10.Vivaan’s mother is three times as old as Vivaan. Their ages add up to 44 years. How old is Vivaan?
  11. 11.Solve: 4n + 4 = 24. What is n?
  12. 12.Priya thinks of a number, multiplies it by 2 and then adds 12. The result is 22. What is the number?
  13. 13.Joseph thinks of a number, multiplies it by 9 and then adds 4. The result is 112. What is the number?
  14. 14.Solve: 3(y + 6) = 24. What is y?
  15. 15.Solve: 7t + 27 = 132. What is t?
  16. 16.Solve: n/2 + 6 = 11. What is n?
  17. 17.Solve: x/9 + 4 = 7. What is x?
  18. 18.Manav thinks of a number, multiplies it by 9 and then adds 6. The result is 60. What is the number?
  19. 19.Solve: 2x + 1 = 29. What is x?
  20. 20.Solve: t/5 + 18 = 23. What is t?
  21. 21.Zoya thinks of a number, multiplies it by 9 and then adds 2. The result is 47. What is the number?
  22. 22.Solve: 5t − 8 = 42. What is t?
  23. 23.Solve: 8p − 14 = 34. What is p?
  24. 24.Solve: 2(n + 4) = 18. What is n?
  25. 25.Solve: 4(y + 6) = 64. What is y?
  26. 26.Solve: y/5 + 20 = 27. What is y?
  27. 27.Solve: 3p − 4 = 11. What is p?
  28. 28.Meera is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  29. 29.Kabir’s mother is three times as old as Kabir. Their ages add up to 24 years. How old is Kabir?
  30. 30.Solve: 4n − 28 = 4. What is n?
  31. 31.Solve: 8y − 10 = 6. What is y?
  32. 32.Solve: 6x − 56 = 10. What is x?
  33. 33.Joseph’s mother is four times as old as Joseph. Their ages add up to 25 years. How old is Joseph?
  34. 34.Solve: n/4 + 18 = 20. What is n?
  35. 35.Diya is 7 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  36. 36.Solve: 9(x + 1) = 144. What is x?
  37. 37.Solve: 8y − 3 = 37. What is y?
  38. 38.Sneha thinks of a number, multiplies it by 8 and then adds 6. The result is 30. What is the number?
  39. 39.Solve: 3y − 1 = 2. What is y?
  40. 40.Karan is 1 years older than a cousin. Their ages add up to 15 years. How old is the cousin?

Answer key

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

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