← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 838 · 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: 2m − 11 = 5. What is m?
  2. 2.Rohan is 4 years older than a cousin. Their ages add up to 16 years. How old is the cousin?
  3. 3.Solve: 4y − 13 = 27. What is y?
  4. 4.Solve: 5(m + 7) = 75. What is m?
  5. 5.Solve: 6(y + 7) = 48. What is y?
  6. 6.Karan’s mother is twice as old as Karan. Their ages add up to 42 years. How old is Karan?
  7. 7.Solve: 7(y + 4) = 91. What is y?
  8. 8.Kabir thinks of a number, multiplies it by 5 and then adds 16. The result is 21. What is the number?
  9. 9.Solve: 9p − 7 = 83. What is p?
  10. 10.Meera is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  11. 11.Zoya’s mother is four times as old as Zoya. Their ages add up to 35 years. How old is Zoya?
  12. 12.Solve: 3t + 9 = 48. What is t?
  13. 13.Solve: 8t + 14 = 46. What is t?
  14. 14.Solve: 4(x + 7) = 84. What is x?
  15. 15.Solve: 7n − 48 = 50. What is n?
  16. 16.Solve: 3y − 4 = 8. What is y?
  17. 17.Solve: 7(p + 8) = 105. What is p?
  18. 18.Diya thinks of a number, multiplies it by 5 and then adds 1. The result is 36. What is the number?
  19. 19.Solve: 8p − 14 = 42. What is p?
  20. 20.Solve: 3t + 19 = 25. What is t?
  21. 21.Solve: 3n − 14 = 25. What is n?
  22. 22.Solve: y/6 + 10 = 12. What is y?
  23. 23.Solve: 5(t + 5) = 30. What is t?
  24. 24.Pooja’s mother is four times as old as Pooja. Their ages add up to 45 years. How old is Pooja?
  25. 25.Solve: 8n − 5 = 91. What is n?
  26. 26.Zoya thinks of a number, multiplies it by 7 and then adds 2. The result is 58. What is the number?
  27. 27.Solve: 6t + 8 = 56. What is t?
  28. 28.Solve: 5m − 35 = 25. What is m?
  29. 29.Aarav’s mother is four times as old as Aarav. Their ages add up to 65 years. How old is Aarav?
  30. 30.Solve: 2t + 30 = 42. What is t?
  31. 31.Priya thinks of a number, multiplies it by 5 and then adds 25. The result is 60. What is the number?
  32. 32.Meera thinks of a number, multiplies it by 7 and then adds 22. The result is 78. What is the number?
  33. 33.Solve: 2y + 24 = 34. What is y?
  34. 34.Solve: 2m − 2 = 12. What is m?
  35. 35.Solve: 7(n + 8) = 147. What is n?
  36. 36.Gurpreet is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  37. 37.Pooja thinks of a number, multiplies it by 2 and then adds 3. The result is 27. What is the number?
  38. 38.Tara thinks of a number, multiplies it by 5 and then adds 20. The result is 45. What is the number?
  39. 39.Solve: 2(x + 3) = 16. What is x?
  40. 40.Solve: 3(n + 1) = 21. What is n?

Answer key

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

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