← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 110 · 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.Diya is 4 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  2. 2.Ananya is 2 years older than a cousin. Their ages add up to 26 years. How old is the cousin?
  3. 3.Vivaan’s mother is four times as old as Vivaan. Their ages add up to 65 years. How old is Vivaan?
  4. 4.Solve: 4x + 20 = 56. What is x?
  5. 5.Solve: 7m − 2 = 5. What is m?
  6. 6.Solve: t/6 + 7 = 13. What is t?
  7. 7.Solve: 7y + 7 = 28. What is y?
  8. 8.Solve: 4(t + 4) = 28. What is t?
  9. 9.Aditya is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  10. 10.Solve: t/9 + 7 = 10. What is t?
  11. 11.Solve: n/5 + 6 = 7. What is n?
  12. 12.Solve: p/7 + 15 = 20. What is p?
  13. 13.Zoya thinks of a number, multiplies it by 4 and then adds 7. The result is 19. What is the number?
  14. 14.Solve: 5t + 17 = 42. What is t?
  15. 15.Solve: 8(y + 6) = 128. What is y?
  16. 16.Zoya thinks of a number, multiplies it by 3 and then adds 26. The result is 35. What is the number?
  17. 17.Solve: 2x + 5 = 19. What is x?
  18. 18.Solve: 3t + 30 = 36. What is t?
  19. 19.Solve: 6y − 2 = 28. What is y?
  20. 20.Solve: y/4 + 20 = 32. What is y?
  21. 21.Solve: 4(n + 8) = 60. What is n?
  22. 22.Aarav thinks of a number, multiplies it by 9 and then adds 4. The result is 112. What is the number?
  23. 23.Solve: 6(m + 9) = 132. What is m?
  24. 24.Solve: 3(p + 4) = 54. What is p?
  25. 25.Solve: 3(t + 7) = 66. What is t?
  26. 26.Solve: 4m + 6 = 10. What is m?
  27. 27.Solve: 9(x + 5) = 162. What is x?
  28. 28.Solve: p/9 + 11 = 19. What is p?
  29. 29.Solve: 9n − 11 = 34. What is n?
  30. 30.Solve: 6x + 8 = 44. What is x?
  31. 31.Solve: 3(p + 3) = 27. What is p?
  32. 32.Solve: x/8 + 4 = 8. What is x?
  33. 33.Solve: 3n + 8 = 44. What is n?
  34. 34.Solve: 7x − 51 = 19. What is x?
  35. 35.Kavya thinks of a number, multiplies it by 2 and then adds 16. The result is 46. What is the number?
  36. 36.Zoya’s mother is three times as old as Zoya. Their ages add up to 44 years. How old is Zoya?
  37. 37.Solve: 2(t + 9) = 36. What is t?
  38. 38.Solve: 4t + 11 = 15. What is t?
  39. 39.Solve: 3t + 17 = 20. What is t?
  40. 40.Riya’s mother is four times as old as Riya. Their ages add up to 30 years. How old is Riya?

Answer key

  1. 9
  2. 12
  3. 13
  4. 9
  5. 1
  6. 36
  7. 3
  8. 3
  9. 4
  10. 27
  11. 5
  12. 35
  13. 3
  14. 5
  15. 10
  16. 3
  17. 7
  18. 2
  19. 5
  20. 48
  21. 7
  22. 12
  23. 13
  24. 14
  25. 15
  26. 1
  27. 13
  28. 72
  29. 5
  30. 6
  31. 6
  32. 32
  33. 12
  34. 10
  35. 15
  36. 11
  37. 9
  38. 1
  39. 1
  40. 6

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