← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 657 · 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: 2(p + 2) = 26. What is p?
  2. 2.Solve: 6(n + 5) = 96. What is n?
  3. 3.Solve: p/3 + 12 = 22. What is p?
  4. 4.Solve: 5y + 17 = 32. What is y?
  5. 5.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 18 years. How old is Ishaan?
  6. 6.Solve: 8(y + 1) = 64. What is y?
  7. 7.Solve: 7n − 4 = 52. What is n?
  8. 8.Solve: 7(p + 5) = 112. What is p?
  9. 9.Solve: t/9 + 7 = 13. What is t?
  10. 10.Solve: 2n + 10 = 26. What is n?
  11. 11.Aarav is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  12. 12.Solve: 3(m + 2) = 18. What is m?
  13. 13.Solve: 7(y + 5) = 119. What is y?
  14. 14.Solve: 2(m + 3) = 14. What is m?
  15. 15.Solve: 5(x + 2) = 35. What is x?
  16. 16.Lakshmi thinks of a number, multiplies it by 5 and then adds 15. The result is 25. What is the number?
  17. 17.Solve: 3t − 2 = 19. What is t?
  18. 18.Lakshmi thinks of a number, multiplies it by 6 and then adds 15. The result is 33. What is the number?
  19. 19.Solve: 6m + 3 = 81. What is m?
  20. 20.Solve: 3y + 5 = 8. What is y?
  21. 21.Vivaan thinks of a number, multiplies it by 5 and then adds 1. The result is 31. What is the number?
  22. 22.Zoya’s mother is three times as old as Zoya. Their ages add up to 36 years. How old is Zoya?
  23. 23.Solve: 9x + 24 = 87. What is x?
  24. 24.Solve: 2(t + 2) = 10. What is t?
  25. 25.Solve: 4n + 6 = 42. What is n?
  26. 26.Solve: 2y − 2 = 8. What is y?
  27. 27.Solve: 7x − 6 = 29. What is x?
  28. 28.Kavya’s mother is four times as old as Kavya. Their ages add up to 45 years. How old is Kavya?
  29. 29.Sneha thinks of a number, multiplies it by 9 and then adds 9. The result is 27. What is the number?
  30. 30.Solve: 4p + 14 = 62. What is p?
  31. 31.Solve: 5m − 42 = 23. What is m?
  32. 32.Solve: y/3 + 7 = 21. What is y?
  33. 33.Solve: 8(t + 9) = 88. What is t?
  34. 34.Solve: 3m − 1 = 2. What is m?
  35. 35.Solve: y/8 + 17 = 19. What is y?
  36. 36.Solve: n/9 + 16 = 19. What is n?
  37. 37.Solve: 2(m + 2) = 10. What is m?
  38. 38.Solve: 3m + 25 = 37. What is m?
  39. 39.Tara thinks of a number, multiplies it by 9 and then adds 21. The result is 84. What is the number?
  40. 40.Solve: 8(x + 7) = 176. What is x?

Answer key

  1. 11
  2. 11
  3. 30
  4. 3
  5. 6
  6. 7
  7. 8
  8. 11
  9. 54
  10. 8
  11. 9
  12. 4
  13. 12
  14. 4
  15. 5
  16. 2
  17. 7
  18. 3
  19. 13
  20. 1
  21. 6
  22. 9
  23. 7
  24. 3
  25. 9
  26. 5
  27. 5
  28. 9
  29. 2
  30. 12
  31. 13
  32. 42
  33. 2
  34. 1
  35. 16
  36. 27
  37. 3
  38. 4
  39. 7
  40. 15

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