← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 857 · 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.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 21 years. How old is Saanvi?
  2. 2.Solve: 8(y + 7) = 96. What is y?
  3. 3.Solve: 4x − 14 = 10. What is x?
  4. 4.Ishaan thinks of a number, multiplies it by 2 and then adds 20. The result is 48. What is the number?
  5. 5.Solve: 4(t + 3) = 32. What is t?
  6. 6.Solve: 3t − 9 = 24. What is t?
  7. 7.Solve: 3(n + 9) = 63. What is n?
  8. 8.Solve: 3x + 6 = 18. What is x?
  9. 9.Solve: 5m − 55 = 20. What is m?
  10. 10.Solve: m/4 + 6 = 16. What is m?
  11. 11.Aditya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  12. 12.Solve: 5n + 22 = 27. What is n?
  13. 13.Solve: 4y + 7 = 55. What is y?
  14. 14.Solve: 2n − 2 = 2. What is n?
  15. 15.Solve: 3(t + 7) = 27. What is t?
  16. 16.Vivaan is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  17. 17.Solve: 2t − 1 = 3. What is t?
  18. 18.Solve: 8y + 7 = 39. What is y?
  19. 19.Solve: 5t + 19 = 79. What is t?
  20. 20.Solve: 5p − 51 = 4. What is p?
  21. 21.Zoya thinks of a number, multiplies it by 6 and then adds 10. The result is 76. What is the number?
  22. 22.Isha thinks of a number, multiplies it by 2 and then adds 12. The result is 24. What is the number?
  23. 23.Solve: 4p − 23 = 9. What is p?
  24. 24.Aarav thinks of a number, multiplies it by 7 and then adds 27. The result is 111. What is the number?
  25. 25.Solve: x/8 + 16 = 24. What is x?
  26. 26.Ananya thinks of a number, multiplies it by 2 and then adds 5. The result is 27. What is the number?
  27. 27.Lakshmi is 8 years older than a cousin. Their ages add up to 36 years. How old is the cousin?
  28. 28.Solve: 9(y + 1) = 135. What is y?
  29. 29.Diya thinks of a number, multiplies it by 9 and then adds 19. The result is 37. What is the number?
  30. 30.Solve: 5p + 7 = 32. What is p?
  31. 31.Solve: 2x − 4 = 16. What is x?
  32. 32.Solve: 8y − 3 = 13. What is y?
  33. 33.Solve: 8p + 22 = 62. What is p?
  34. 34.Solve: 7y − 33 = 37. What is y?
  35. 35.Priya thinks of a number, multiplies it by 9 and then adds 21. The result is 156. What is the number?
  36. 36.Solve: 3(y + 6) = 36. What is y?
  37. 37.Aarav thinks of a number, multiplies it by 7 and then adds 2. The result is 9. What is the number?
  38. 38.Solve: 7y + 13 = 41. What is y?
  39. 39.Nisha’s mother is three times as old as Nisha. Their ages add up to 44 years. How old is Nisha?
  40. 40.Kavya is 6 years older than a cousin. Their ages add up to 36 years. How old is the cousin?

Answer key

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

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