← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 285 · 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: t/9 + 1 = 7. What is t?
  2. 2.Riya is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  3. 3.Rahul thinks of a number, multiplies it by 6 and then adds 5. The result is 95. What is the number?
  4. 4.Sneha thinks of a number, multiplies it by 7 and then adds 3. The result is 87. What is the number?
  5. 5.Riya is 7 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  6. 6.Solve: 5x + 24 = 49. What is x?
  7. 7.Aarav is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  8. 8.Solve: 4y − 42 = 6. What is y?
  9. 9.Solve: x/9 + 16 = 31. What is x?
  10. 10.Solve: 2(y + 3) = 26. What is y?
  11. 11.Arjun’s mother is three times as old as Arjun. Their ages add up to 28 years. How old is Arjun?
  12. 12.Solve: m/9 + 18 = 23. What is m?
  13. 13.Solve: x/5 + 1 = 7. What is x?
  14. 14.Solve: 3p + 21 = 51. What is p?
  15. 15.Gurpreet’s mother is twice as old as Gurpreet. Their ages add up to 45 years. How old is Gurpreet?
  16. 16.Solve: x/4 + 3 = 10. What is x?
  17. 17.Solve: 2m + 10 = 18. What is m?
  18. 18.Gurpreet is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  19. 19.Solve: 5y + 2 = 52. What is y?
  20. 20.Solve: 5(t + 1) = 55. What is t?
  21. 21.Arjun is 1 years older than a cousin. Their ages add up to 17 years. How old is the cousin?
  22. 22.Solve: 7(x + 3) = 35. What is x?
  23. 23.Solve: 3y − 3 = 18. What is y?
  24. 24.Solve: 5(m + 3) = 20. What is m?
  25. 25.Solve: 4p − 23 = 9. What is p?
  26. 26.Solve: y/4 + 5 = 17. What is y?
  27. 27.Solve: 2(m + 3) = 10. What is m?
  28. 28.Solve: 2t + 23 = 41. What is t?
  29. 29.Solve: 3n + 21 = 57. What is n?
  30. 30.Solve: 9p − 76 = 32. What is p?
  31. 31.Solve: 6m + 12 = 96. What is m?
  32. 32.Solve: 9(n + 1) = 90. What is n?
  33. 33.Riya is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  34. 34.Solve: 5n + 20 = 60. What is n?
  35. 35.Solve: 3n − 14 = 10. What is n?
  36. 36.Solve: 7n + 22 = 50. What is n?
  37. 37.Rahul thinks of a number, multiplies it by 2 and then adds 16. The result is 24. What is the number?
  38. 38.Ananya thinks of a number, multiplies it by 6 and then adds 10. The result is 22. What is the number?
  39. 39.Solve: 7n + 2 = 30. What is n?
  40. 40.Solve: 8y + 13 = 101. What is y?

Answer key

  1. 54
  2. 6
  3. 15
  4. 12
  5. 11
  6. 5
  7. 14
  8. 12
  9. 135
  10. 10
  11. 7
  12. 45
  13. 30
  14. 10
  15. 15
  16. 28
  17. 4
  18. 12
  19. 10
  20. 10
  21. 8
  22. 2
  23. 7
  24. 1
  25. 8
  26. 48
  27. 2
  28. 9
  29. 12
  30. 12
  31. 14
  32. 9
  33. 6
  34. 8
  35. 8
  36. 4
  37. 4
  38. 2
  39. 4
  40. 11

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