← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 700 · 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.Farhan’s mother is three times as old as Farhan. Their ages add up to 16 years. How old is Farhan?
  2. 2.Solve: 2p − 1 = 1. What is p?
  3. 3.Kabir thinks of a number, multiplies it by 2 and then adds 4. The result is 32. What is the number?
  4. 4.Solve: 4(p + 1) = 48. What is p?
  5. 5.Aarav thinks of a number, multiplies it by 4 and then adds 24. The result is 48. What is the number?
  6. 6.Pooja’s mother is three times as old as Pooja. Their ages add up to 28 years. How old is Pooja?
  7. 7.Priya thinks of a number, multiplies it by 2 and then adds 15. The result is 41. What is the number?
  8. 8.Karan thinks of a number, multiplies it by 6 and then adds 24. The result is 66. What is the number?
  9. 9.Solve: t/3 + 18 = 23. What is t?
  10. 10.Solve: 9m + 4 = 49. What is m?
  11. 11.Solve: 7m − 24 = 67. What is m?
  12. 12.Solve: 2(p + 1) = 24. What is p?
  13. 13.Solve: 3y − 2 = 43. What is y?
  14. 14.Solve: 7n + 27 = 48. What is n?
  15. 15.Solve: n/8 + 5 = 20. What is n?
  16. 16.Solve: y/2 + 13 = 26. What is y?
  17. 17.Solve: 5(m + 8) = 75. What is m?
  18. 18.Karan’s mother is four times as old as Karan. Their ages add up to 50 years. How old is Karan?
  19. 19.Solve: 6n + 7 = 97. What is n?
  20. 20.Solve: 4m + 9 = 53. What is m?
  21. 21.Solve: y/6 + 10 = 11. What is y?
  22. 22.Solve: 8t − 106 = 6. What is t?
  23. 23.Kavya’s mother is twice as old as Kavya. Their ages add up to 42 years. How old is Kavya?
  24. 24.Solve: 8x − 9 = 7. What is x?
  25. 25.Solve: 3m − 27 = 3. What is m?
  26. 26.Dev is 3 years older than a cousin. Their ages add up to 15 years. How old is the cousin?
  27. 27.Solve: 6p − 37 = 5. What is p?
  28. 28.Kabir thinks of a number, multiplies it by 6 and then adds 19. The result is 103. What is the number?
  29. 29.Solve: p/3 + 10 = 18. What is p?
  30. 30.Solve: 6y + 30 = 72. What is y?
  31. 31.Sneha thinks of a number, multiplies it by 6 and then adds 28. The result is 70. What is the number?
  32. 32.Solve: 7m + 4 = 53. What is m?
  33. 33.Solve: m/5 + 7 = 9. What is m?
  34. 34.Ananya thinks of a number, multiplies it by 7 and then adds 4. The result is 81. What is the number?
  35. 35.Ananya thinks of a number, multiplies it by 7 and then adds 21. The result is 35. What is the number?
  36. 36.Solve: 3y − 26 = 19. What is y?
  37. 37.Solve: 5n − 14 = 31. What is n?
  38. 38.Solve: 7(m + 2) = 119. What is m?
  39. 39.Priya’s mother is three times as old as Priya. Their ages add up to 36 years. How old is Priya?
  40. 40.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 42 years. How old is Ishaan?

Answer key

  1. 4
  2. 1
  3. 14
  4. 11
  5. 6
  6. 7
  7. 13
  8. 7
  9. 15
  10. 5
  11. 13
  12. 11
  13. 15
  14. 3
  15. 120
  16. 26
  17. 7
  18. 10
  19. 15
  20. 11
  21. 6
  22. 14
  23. 14
  24. 2
  25. 10
  26. 6
  27. 7
  28. 14
  29. 24
  30. 7
  31. 7
  32. 7
  33. 10
  34. 11
  35. 2
  36. 15
  37. 9
  38. 15
  39. 9
  40. 14

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