← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 116 · 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.Tara’s mother is twice as old as Tara. Their ages add up to 42 years. How old is Tara?
  2. 2.Solve: n/7 + 9 = 24. What is n?
  3. 3.Solve: 5n + 4 = 19. What is n?
  4. 4.Solve: p/8 + 3 = 10. What is p?
  5. 5.Solve: 2(y + 3) = 8. What is y?
  6. 6.Pooja is 5 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  7. 7.Solve: t/5 + 9 = 20. What is t?
  8. 8.Tara thinks of a number, multiplies it by 3 and then adds 10. The result is 52. What is the number?
  9. 9.Solve: x/2 + 17 = 19. What is x?
  10. 10.Isha thinks of a number, multiplies it by 5 and then adds 16. The result is 91. What is the number?
  11. 11.Solve: 8(m + 5) = 80. What is m?
  12. 12.Solve: 8t − 28 = 84. What is t?
  13. 13.Solve: 9(m + 9) = 108. What is m?
  14. 14.Solve: x/3 + 6 = 17. What is x?
  15. 15.Saanvi is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  16. 16.Manav’s mother is twice as old as Manav. Their ages add up to 21 years. How old is Manav?
  17. 17.Solve: 2p − 1 = 3. What is p?
  18. 18.Solve: 3(y + 7) = 36. What is y?
  19. 19.Solve: 7(n + 9) = 77. What is n?
  20. 20.Solve: 4n − 31 = 9. What is n?
  21. 21.Solve: 3(y + 3) = 24. What is y?
  22. 22.Solve: 3p + 27 = 30. What is p?
  23. 23.Solve: 5(t + 8) = 80. What is t?
  24. 24.Solve: y/2 + 2 = 5. What is y?
  25. 25.Solve: t/2 + 13 = 17. What is t?
  26. 26.Solve: 7y + 22 = 78. What is y?
  27. 27.Solve: 4n + 8 = 32. What is n?
  28. 28.Arjun is 2 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  29. 29.Solve: 3p − 4 = 11. What is p?
  30. 30.Solve: 8(m + 6) = 120. What is m?
  31. 31.Manav is 6 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  32. 32.Solve: 8x + 12 = 108. What is x?
  33. 33.Kabir’s mother is three times as old as Kabir. Their ages add up to 40 years. How old is Kabir?
  34. 34.Solve: x/4 + 3 = 7. What is x?
  35. 35.Solve: 8(n + 6) = 56. What is n?
  36. 36.Riya is 1 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  37. 37.Ananya thinks of a number, multiplies it by 4 and then adds 6. The result is 46. What is the number?
  38. 38.Solve: 9x − 20 = 16. What is x?
  39. 39.Solve: 8(n + 3) = 40. What is n?
  40. 40.Solve: x/6 + 17 = 25. What is x?

Answer key

  1. 14
  2. 105
  3. 3
  4. 56
  5. 1
  6. 4
  7. 55
  8. 14
  9. 4
  10. 15
  11. 5
  12. 14
  13. 3
  14. 33
  15. 8
  16. 7
  17. 2
  18. 5
  19. 2
  20. 10
  21. 5
  22. 1
  23. 8
  24. 6
  25. 8
  26. 8
  27. 6
  28. 5
  29. 5
  30. 9
  31. 7
  32. 12
  33. 10
  34. 16
  35. 1
  36. 6
  37. 10
  38. 4
  39. 2
  40. 48

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