← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 521 · 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: 6m + 14 = 32. What is m?
  2. 2.Diya’s mother is three times as old as Diya. Their ages add up to 28 years. How old is Diya?
  3. 3.Solve: t/2 + 4 = 10. What is t?
  4. 4.Solve: m/3 + 17 = 25. What is m?
  5. 5.Solve: 2x − 2 = 8. What is x?
  6. 6.Solve: 5y − 4 = 41. What is y?
  7. 7.Joseph is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  8. 8.Lakshmi thinks of a number, multiplies it by 8 and then adds 25. The result is 33. What is the number?
  9. 9.Solve: 4m + 21 = 65. What is m?
  10. 10.Solve: 6n + 27 = 93. What is n?
  11. 11.Solve: 2x + 17 = 33. What is x?
  12. 12.Solve: 2y − 6 = 6. What is y?
  13. 13.Solve: 3(x + 8) = 66. What is x?
  14. 14.Solve: 2y + 5 = 9. What is y?
  15. 15.Saanvi is 6 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  16. 16.Rohan thinks of a number, multiplies it by 7 and then adds 16. The result is 93. What is the number?
  17. 17.Solve: t/2 + 14 = 15. What is t?
  18. 18.Solve: 9t − 3 = 24. What is t?
  19. 19.Solve: 3n − 12 = 6. What is n?
  20. 20.Aditya thinks of a number, multiplies it by 6 and then adds 3. The result is 15. What is the number?
  21. 21.Solve: 7m + 25 = 32. What is m?
  22. 22.Joseph’s mother is three times as old as Joseph. Their ages add up to 40 years. How old is Joseph?
  23. 23.Solve: 8(t + 9) = 152. What is t?
  24. 24.Solve: y/7 + 17 = 22. What is y?
  25. 25.Isha thinks of a number, multiplies it by 4 and then adds 29. The result is 61. What is the number?
  26. 26.Ananya thinks of a number, multiplies it by 3 and then adds 19. The result is 55. What is the number?
  27. 27.Kavya thinks of a number, multiplies it by 5 and then adds 3. The result is 48. What is the number?
  28. 28.Solve: y/8 + 11 = 26. What is y?
  29. 29.Riya is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  30. 30.Riya’s mother is three times as old as Riya. Their ages add up to 40 years. How old is Riya?
  31. 31.Solve: n/2 + 16 = 20. What is n?
  32. 32.Karan thinks of a number, multiplies it by 4 and then adds 11. The result is 35. What is the number?
  33. 33.Solve: 3m + 1 = 19. What is m?
  34. 34.Kabir thinks of a number, multiplies it by 3 and then adds 30. The result is 48. What is the number?
  35. 35.Solve: p/5 + 12 = 16. What is p?
  36. 36.Joseph is 8 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  37. 37.Solve: 8x + 21 = 101. What is x?
  38. 38.Farhan’s mother is twice as old as Farhan. Their ages add up to 27 years. How old is Farhan?
  39. 39.Solve: 3m + 2 = 47. What is m?
  40. 40.Saanvi is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?

Answer key

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

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