← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 244 · 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.Diya’s mother is four times as old as Diya. Their ages add up to 35 years. How old is Diya?
  2. 2.Solve: 8y + 17 = 73. What is y?
  3. 3.Solve: 6p − 41 = 25. What is p?
  4. 4.Priya thinks of a number, multiplies it by 3 and then adds 20. The result is 56. What is the number?
  5. 5.Solve: p/3 + 2 = 15. What is p?
  6. 6.Arjun thinks of a number, multiplies it by 9 and then adds 18. The result is 108. What is the number?
  7. 7.Solve: 6t − 59 = 7. What is t?
  8. 8.Solve: 9n + 21 = 147. What is n?
  9. 9.Pooja thinks of a number, multiplies it by 3 and then adds 1. The result is 31. What is the number?
  10. 10.Solve: 2p − 1 = 1. What is p?
  11. 11.Riya’s mother is twice as old as Riya. Their ages add up to 24 years. How old is Riya?
  12. 12.Solve: x/5 + 9 = 15. What is x?
  13. 13.Aarav thinks of a number, multiplies it by 7 and then adds 6. The result is 104. What is the number?
  14. 14.Solve: 9(x + 5) = 90. What is x?
  15. 15.Isha’s mother is twice as old as Isha. Their ages add up to 30 years. How old is Isha?
  16. 16.Kabir thinks of a number, multiplies it by 5 and then adds 26. The result is 86. What is the number?
  17. 17.Solve: 3p − 19 = 11. What is p?
  18. 18.Rohan is 6 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  19. 19.Lakshmi thinks of a number, multiplies it by 9 and then adds 25. The result is 34. What is the number?
  20. 20.Solve: 5m + 16 = 21. What is m?
  21. 21.Solve: 3t + 24 = 30. What is t?
  22. 22.Solve: 2y − 11 = 9. What is y?
  23. 23.Solve: 7t + 16 = 72. What is t?
  24. 24.Ananya thinks of a number, multiplies it by 4 and then adds 18. The result is 50. What is the number?
  25. 25.Solve: 6n + 23 = 71. What is n?
  26. 26.Solve: 8m − 12 = 108. What is m?
  27. 27.Manav’s mother is three times as old as Manav. Their ages add up to 28 years. How old is Manav?
  28. 28.Arjun thinks of a number, multiplies it by 4 and then adds 15. The result is 59. What is the number?
  29. 29.Solve: 4x + 26 = 38. What is x?
  30. 30.Solve: 8(p + 1) = 16. What is p?
  31. 31.Tara is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  32. 32.Solve: 8n + 4 = 100. What is n?
  33. 33.Solve: t/4 + 12 = 23. What is t?
  34. 34.Solve: p/7 + 12 = 15. What is p?
  35. 35.Nisha thinks of a number, multiplies it by 3 and then adds 22. The result is 25. What is the number?
  36. 36.Vivaan is 4 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  37. 37.Solve: 5x − 31 = 4. What is x?
  38. 38.Zoya thinks of a number, multiplies it by 5 and then adds 15. The result is 85. What is the number?
  39. 39.Solve: 2y − 4 = 14. What is y?
  40. 40.Solve: 5x − 6 = 4. What is x?

Answer key

  1. 7
  2. 7
  3. 11
  4. 12
  5. 39
  6. 10
  7. 11
  8. 14
  9. 10
  10. 1
  11. 8
  12. 30
  13. 14
  14. 5
  15. 10
  16. 12
  17. 10
  18. 12
  19. 1
  20. 1
  21. 2
  22. 10
  23. 8
  24. 8
  25. 8
  26. 15
  27. 7
  28. 11
  29. 3
  30. 1
  31. 6
  32. 12
  33. 44
  34. 21
  35. 1
  36. 7
  37. 7
  38. 14
  39. 9
  40. 2

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