← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 533 · 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.Gurpreet is 5 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  2. 2.Solve: 6p − 1 = 71. What is p?
  3. 3.Pooja’s mother is four times as old as Pooja. Their ages add up to 65 years. How old is Pooja?
  4. 4.Solve: y/8 + 16 = 29. What is y?
  5. 5.Solve: 9t − 17 = 10. What is t?
  6. 6.Zoya thinks of a number, multiplies it by 4 and then adds 9. The result is 45. What is the number?
  7. 7.Solve: 3x − 2 = 16. What is x?
  8. 8.Zoya thinks of a number, multiplies it by 7 and then adds 21. The result is 28. What is the number?
  9. 9.Dev thinks of a number, multiplies it by 4 and then adds 30. The result is 34. What is the number?
  10. 10.Kabir is 8 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  11. 11.Solve: t/9 + 11 = 15. What is t?
  12. 12.Solve: 4n − 8 = 16. What is n?
  13. 13.Solve: 3y − 11 = 7. What is y?
  14. 14.Meera thinks of a number, multiplies it by 9 and then adds 26. The result is 152. What is the number?
  15. 15.Solve: 2t + 15 = 17. What is t?
  16. 16.Solve: 9y + 27 = 72. What is y?
  17. 17.Solve: m/5 + 17 = 20. What is m?
  18. 18.Aditya thinks of a number, multiplies it by 9 and then adds 9. The result is 27. What is the number?
  19. 19.Solve: m/2 + 14 = 24. What is m?
  20. 20.Solve: x/5 + 1 = 10. What is x?
  21. 21.Solve: 5t − 64 = 1. What is t?
  22. 22.Solve: 5(p + 9) = 100. What is p?
  23. 23.Solve: n/3 + 9 = 11. What is n?
  24. 24.Solve: 5(t + 2) = 80. What is t?
  25. 25.Solve: y/7 + 9 = 15. What is y?
  26. 26.Zoya is 7 years older than a cousin. Their ages add up to 37 years. How old is the cousin?
  27. 27.Solve: x/6 + 6 = 21. What is x?
  28. 28.Meera thinks of a number, multiplies it by 8 and then adds 24. The result is 88. What is the number?
  29. 29.Solve: 4t + 7 = 59. What is t?
  30. 30.Solve: 7y − 71 = 20. What is y?
  31. 31.Solve: 4(n + 3) = 52. What is n?
  32. 32.Solve: y/7 + 12 = 18. What is y?
  33. 33.Solve: 9y + 13 = 85. What is y?
  34. 34.Kabir is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  35. 35.Solve: 2y − 17 = 7. What is y?
  36. 36.Solve: 2t − 4 = 2. What is t?
  37. 37.Solve: t/3 + 16 = 18. What is t?
  38. 38.Saanvi is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  39. 39.Solve: 8(y + 9) = 152. What is y?
  40. 40.Kavya is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?

Answer key

  1. 15
  2. 12
  3. 13
  4. 104
  5. 3
  6. 9
  7. 6
  8. 1
  9. 1
  10. 12
  11. 36
  12. 6
  13. 6
  14. 14
  15. 1
  16. 5
  17. 15
  18. 2
  19. 20
  20. 45
  21. 13
  22. 11
  23. 6
  24. 14
  25. 42
  26. 15
  27. 90
  28. 8
  29. 13
  30. 13
  31. 10
  32. 42
  33. 8
  34. 5
  35. 12
  36. 3
  37. 6
  38. 5
  39. 10
  40. 14

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