← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 643 · 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: m/3 + 6 = 7. What is m?
  2. 2.Solve: 8p + 21 = 69. What is p?
  3. 3.Kavya thinks of a number, multiplies it by 5 and then adds 23. The result is 78. What is the number?
  4. 4.Solve: 5y + 13 = 58. What is y?
  5. 5.Solve: x/3 + 4 = 5. What is x?
  6. 6.Solve: x/2 + 7 = 8. What is x?
  7. 7.Solve: 3(p + 8) = 51. What is p?
  8. 8.Solve: 4x − 2 = 18. What is x?
  9. 9.Aditya thinks of a number, multiplies it by 4 and then adds 20. The result is 76. What is the number?
  10. 10.Solve: 3(t + 8) = 57. What is t?
  11. 11.Solve: 5(m + 5) = 95. What is m?
  12. 12.Solve: 8t + 22 = 86. What is t?
  13. 13.Farhan thinks of a number, multiplies it by 8 and then adds 20. The result is 60. What is the number?
  14. 14.Solve: 2x + 13 = 17. What is x?
  15. 15.Ishaan is 4 years older than a cousin. Their ages add up to 24 years. How old is the cousin?
  16. 16.Solve: 7p − 1 = 13. What is p?
  17. 17.Solve: 6(m + 5) = 54. What is m?
  18. 18.Solve: 7(p + 5) = 119. What is p?
  19. 19.Solve: 9n − 6 = 12. What is n?
  20. 20.Solve: 4(n + 6) = 76. What is n?
  21. 21.Solve: 9n − 12 = 87. What is n?
  22. 22.Solve: 4p + 1 = 29. What is p?
  23. 23.Solve: 9p − 7 = 38. What is p?
  24. 24.Solve: x/5 + 5 = 7. What is x?
  25. 25.Tara’s mother is twice as old as Tara. Their ages add up to 39 years. How old is Tara?
  26. 26.Rohan’s mother is twice as old as Rohan. Their ages add up to 39 years. How old is Rohan?
  27. 27.Aditya is 8 years older than a cousin. Their ages add up to 34 years. How old is the cousin?
  28. 28.Arjun is 5 years older than a cousin. Their ages add up to 29 years. How old is the cousin?
  29. 29.Solve: 7p + 26 = 47. What is p?
  30. 30.Solve: 6y − 10 = 8. What is y?
  31. 31.Solve: 8(y + 1) = 16. What is y?
  32. 32.Arjun thinks of a number, multiplies it by 2 and then adds 5. The result is 31. What is the number?
  33. 33.Isha is 7 years older than a cousin. Their ages add up to 35 years. How old is the cousin?
  34. 34.Kavya thinks of a number, multiplies it by 7 and then adds 23. The result is 114. What is the number?
  35. 35.Solve: 4y − 9 = 7. What is y?
  36. 36.Solve: t/6 + 12 = 14. What is t?
  37. 37.Solve: n/7 + 7 = 18. What is n?
  38. 38.Solve: m/8 + 18 = 22. What is m?
  39. 39.Solve: n/2 + 17 = 28. What is n?
  40. 40.Solve: 7(y + 6) = 133. What is y?

Answer key

  1. 3
  2. 6
  3. 11
  4. 9
  5. 3
  6. 2
  7. 9
  8. 5
  9. 14
  10. 11
  11. 14
  12. 8
  13. 5
  14. 2
  15. 10
  16. 2
  17. 4
  18. 12
  19. 2
  20. 13
  21. 11
  22. 7
  23. 5
  24. 10
  25. 13
  26. 13
  27. 13
  28. 12
  29. 3
  30. 3
  31. 1
  32. 13
  33. 14
  34. 13
  35. 4
  36. 12
  37. 77
  38. 32
  39. 22
  40. 13

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