← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 538 · 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: 9m − 1 = 26. What is m?
  2. 2.Diya thinks of a number, multiplies it by 9 and then adds 30. The result is 84. What is the number?
  3. 3.Solve: 4(m + 5) = 76. What is m?
  4. 4.Priya thinks of a number, multiplies it by 2 and then adds 12. The result is 32. What is the number?
  5. 5.Solve: 3p + 6 = 18. What is p?
  6. 6.Ananya is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  7. 7.Kabir is 3 years older than a cousin. Their ages add up to 25 years. How old is the cousin?
  8. 8.Solve: 3y − 8 = 4. What is y?
  9. 9.Meera is 2 years older than a cousin. Their ages add up to 10 years. How old is the cousin?
  10. 10.Solve: 3(x + 4) = 57. What is x?
  11. 11.Solve: 2x − 9 = 5. What is x?
  12. 12.Solve: 3x − 1 = 8. What is x?
  13. 13.Dev is 6 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  14. 14.Solve: 9m + 17 = 71. What is m?
  15. 15.Isha’s mother is four times as old as Isha. Their ages add up to 75 years. How old is Isha?
  16. 16.Solve: x/6 + 16 = 17. What is x?
  17. 17.Karan thinks of a number, multiplies it by 2 and then adds 30. The result is 54. What is the number?
  18. 18.Solve: 7t + 11 = 109. What is t?
  19. 19.Solve: 7y + 16 = 114. What is y?
  20. 20.Solve: 9m − 4 = 77. What is m?
  21. 21.Rahul thinks of a number, multiplies it by 9 and then adds 29. The result is 92. What is the number?
  22. 22.Solve: 3m + 23 = 29. What is m?
  23. 23.Solve: y/9 + 3 = 6. What is y?
  24. 24.Priya’s mother is twice as old as Priya. Their ages add up to 12 years. How old is Priya?
  25. 25.Rahul’s mother is three times as old as Rahul. Their ages add up to 24 years. How old is Rahul?
  26. 26.Arjun is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  27. 27.Solve: 2(n + 6) = 32. What is n?
  28. 28.Solve: 9x + 5 = 68. What is x?
  29. 29.Solve: 8y − 5 = 43. What is y?
  30. 30.Solve: 5y − 53 = 2. What is y?
  31. 31.Solve: 3n − 33 = 3. What is n?
  32. 32.Solve: 9n − 17 = 73. What is n?
  33. 33.Solve: 5n + 11 = 46. What is n?
  34. 34.Solve: y/5 + 6 = 12. What is y?
  35. 35.Solve: x/8 + 3 = 18. What is x?
  36. 36.Solve: t/7 + 6 = 8. What is t?
  37. 37.Manav thinks of a number, multiplies it by 8 and then adds 17. The result is 137. What is the number?
  38. 38.Saanvi thinks of a number, multiplies it by 3 and then adds 1. The result is 10. What is the number?
  39. 39.Solve: 7n + 27 = 125. What is n?
  40. 40.Vivaan is 6 years older than a cousin. Their ages add up to 16 years. How old is the cousin?

Answer key

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

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