← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 596 · 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.Rahul’s mother is three times as old as Rahul. Their ages add up to 16 years. How old is Rahul?
  2. 2.Farhan thinks of a number, multiplies it by 7 and then adds 7. The result is 56. What is the number?
  3. 3.Solve: 3t − 3 = 18. What is t?
  4. 4.Solve: 7m − 44 = 19. What is m?
  5. 5.Solve: p/9 + 15 = 17. What is p?
  6. 6.Solve: x/3 + 12 = 20. What is x?
  7. 7.Solve: 8y + 23 = 127. What is y?
  8. 8.Solve: n/3 + 1 = 9. What is n?
  9. 9.Solve: 6m + 25 = 43. What is m?
  10. 10.Solve: p/5 + 19 = 26. What is p?
  11. 11.Solve: 6x − 50 = 10. What is x?
  12. 12.Solve: 2m − 6 = 2. What is m?
  13. 13.Arjun thinks of a number, multiplies it by 9 and then adds 18. The result is 126. What is the number?
  14. 14.Solve: 4p + 22 = 50. What is p?
  15. 15.Solve: y/2 + 20 = 32. What is y?
  16. 16.Solve: 6x + 16 = 46. What is x?
  17. 17.Solve: 2t − 2 = 12. What is t?
  18. 18.Solve: x/2 + 13 = 25. What is x?
  19. 19.Saanvi’s mother is four times as old as Saanvi. Their ages add up to 50 years. How old is Saanvi?
  20. 20.Solve: 5y + 4 = 44. What is y?
  21. 21.Solve: 5(n + 2) = 15. What is n?
  22. 22.Kavya thinks of a number, multiplies it by 7 and then adds 10. The result is 94. What is the number?
  23. 23.Gurpreet is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  24. 24.Solve: 8y − 16 = 104. What is y?
  25. 25.Diya thinks of a number, multiplies it by 2 and then adds 15. The result is 25. What is the number?
  26. 26.Solve: 4(m + 9) = 40. What is m?
  27. 27.Solve: x/5 + 13 = 22. What is x?
  28. 28.Joseph thinks of a number, multiplies it by 9 and then adds 27. The result is 117. What is the number?
  29. 29.Solve: p/3 + 19 = 30. What is p?
  30. 30.Solve: 8m + 10 = 50. What is m?
  31. 31.Solve: 6m − 5 = 25. What is m?
  32. 32.Aarav thinks of a number, multiplies it by 4 and then adds 3. The result is 11. What is the number?
  33. 33.Solve: 3n − 43 = 2. What is n?
  34. 34.Solve: 2t + 8 = 30. What is t?
  35. 35.Solve: t/6 + 7 = 13. What is t?
  36. 36.Ishaan thinks of a number, multiplies it by 9 and then adds 16. The result is 133. What is the number?
  37. 37.Solve: y/9 + 12 = 13. What is y?
  38. 38.Solve: 9p − 45 = 18. What is p?
  39. 39.Solve: 4(m + 4) = 60. What is m?
  40. 40.Solve: 4n + 22 = 30. What is n?

Answer key

  1. 4
  2. 7
  3. 7
  4. 9
  5. 18
  6. 24
  7. 13
  8. 24
  9. 3
  10. 35
  11. 10
  12. 4
  13. 12
  14. 7
  15. 24
  16. 5
  17. 7
  18. 24
  19. 10
  20. 8
  21. 1
  22. 12
  23. 12
  24. 15
  25. 5
  26. 1
  27. 45
  28. 10
  29. 33
  30. 5
  31. 5
  32. 2
  33. 15
  34. 11
  35. 36
  36. 13
  37. 9
  38. 7
  39. 11
  40. 2

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