← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 359 · 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.Riya’s mother is twice as old as Riya. Their ages add up to 24 years. How old is Riya?
  2. 2.Solve: 3x − 26 = 4. What is x?
  3. 3.Solve: 7n − 1 = 13. What is n?
  4. 4.Solve: 7(p + 5) = 63. What is p?
  5. 5.Solve: y/5 + 16 = 18. What is y?
  6. 6.Solve: 6(y + 1) = 18. What is y?
  7. 7.Solve: 4m + 21 = 53. What is m?
  8. 8.Solve: 6(y + 4) = 84. What is y?
  9. 9.Solve: 2p − 23 = 7. What is p?
  10. 10.Vivaan’s mother is twice as old as Vivaan. Their ages add up to 15 years. How old is Vivaan?
  11. 11.Solve: 3x − 19 = 17. What is x?
  12. 12.Solve: 4x + 14 = 18. What is x?
  13. 13.Kavya thinks of a number, multiplies it by 5 and then adds 25. The result is 90. What is the number?
  14. 14.Farhan thinks of a number, multiplies it by 9 and then adds 15. The result is 150. What is the number?
  15. 15.Solve: y/7 + 12 = 18. What is y?
  16. 16.Solve: 5t + 20 = 95. What is t?
  17. 17.Solve: 7x − 13 = 78. What is x?
  18. 18.Solve: 3(n + 3) = 33. What is n?
  19. 19.Solve: n/8 + 1 = 16. What is n?
  20. 20.Solve: 3p + 9 = 33. What is p?
  21. 21.Solve: n/3 + 16 = 26. What is n?
  22. 22.Solve: 7y − 15 = 48. What is y?
  23. 23.Solve: 8t + 6 = 94. What is t?
  24. 24.Solve: 4x − 15 = 9. What is x?
  25. 25.Kabir’s mother is four times as old as Kabir. Their ages add up to 20 years. How old is Kabir?
  26. 26.Solve: 7x + 3 = 24. What is x?
  27. 27.Solve: 4y + 13 = 17. What is y?
  28. 28.Solve: 8t − 56 = 16. What is t?
  29. 29.Solve: 3(n + 5) = 54. What is n?
  30. 30.Solve: n/2 + 5 = 6. What is n?
  31. 31.Solve: 7(y + 9) = 126. What is y?
  32. 32.Solve: 9p + 19 = 46. What is p?
  33. 33.Manav thinks of a number, multiplies it by 6 and then adds 16. The result is 70. What is the number?
  34. 34.Solve: 2y − 1 = 13. What is y?
  35. 35.Nisha’s mother is twice as old as Nisha. Their ages add up to 27 years. How old is Nisha?
  36. 36.Farhan thinks of a number, multiplies it by 8 and then adds 20. The result is 84. What is the number?
  37. 37.Solve: 3(p + 9) = 57. What is p?
  38. 38.Pooja thinks of a number, multiplies it by 5 and then adds 2. The result is 42. What is the number?
  39. 39.Zoya is 4 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  40. 40.Tara thinks of a number, multiplies it by 3 and then adds 2. The result is 47. What is the number?

Answer key

  1. 8
  2. 10
  3. 2
  4. 4
  5. 10
  6. 2
  7. 8
  8. 10
  9. 15
  10. 5
  11. 12
  12. 1
  13. 13
  14. 15
  15. 42
  16. 15
  17. 13
  18. 8
  19. 120
  20. 8
  21. 30
  22. 9
  23. 11
  24. 6
  25. 4
  26. 3
  27. 1
  28. 9
  29. 13
  30. 2
  31. 9
  32. 3
  33. 9
  34. 7
  35. 9
  36. 8
  37. 10
  38. 8
  39. 5
  40. 15

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