← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 358 · 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: 5n − 41 = 24. What is n?
  2. 2.Arjun thinks of a number, multiplies it by 9 and then adds 11. The result is 38. What is the number?
  3. 3.Solve: 7m − 5 = 9. What is m?
  4. 4.Solve: 9m − 24 = 48. What is m?
  5. 5.Solve: 6t − 27 = 15. What is t?
  6. 6.Solve: 9(n + 4) = 90. What is n?
  7. 7.Solve: 7(y + 1) = 98. What is y?
  8. 8.Solve: 8(n + 5) = 152. What is n?
  9. 9.Joseph thinks of a number, multiplies it by 2 and then adds 19. The result is 21. What is the number?
  10. 10.Solve: 4n + 23 = 75. What is n?
  11. 11.Solve: 9x − 42 = 3. What is x?
  12. 12.Solve: 9t + 5 = 50. What is t?
  13. 13.Solve: x/2 + 6 = 14. What is x?
  14. 14.Gurpreet’s mother is three times as old as Gurpreet. Their ages add up to 40 years. How old is Gurpreet?
  15. 15.Solve: 8(x + 4) = 152. What is x?
  16. 16.Solve: n/9 + 20 = 24. What is n?
  17. 17.Solve: p/2 + 1 = 5. What is p?
  18. 18.Solve: 7(n + 8) = 63. What is n?
  19. 19.Solve: m/5 + 11 = 24. What is m?
  20. 20.Solve: 3(p + 6) = 63. What is p?
  21. 21.Riya thinks of a number, multiplies it by 8 and then adds 27. The result is 35. What is the number?
  22. 22.Solve: 8(x + 3) = 48. What is x?
  23. 23.Solve: x/5 + 17 = 19. What is x?
  24. 24.Solve: 6(x + 8) = 138. What is x?
  25. 25.Solve: 2p − 5 = 7. What is p?
  26. 26.Solve: 3(x + 5) = 36. What is x?
  27. 27.Manav’s mother is three times as old as Manav. Their ages add up to 20 years. How old is Manav?
  28. 28.Solve: 4p − 6 = 10. What is p?
  29. 29.Kabir’s mother is twice as old as Kabir. Their ages add up to 39 years. How old is Kabir?
  30. 30.Isha thinks of a number, multiplies it by 5 and then adds 22. The result is 87. What is the number?
  31. 31.Solve: 5n − 6 = 39. What is n?
  32. 32.Solve: 8(y + 4) = 80. What is y?
  33. 33.Isha is 8 years older than a cousin. Their ages add up to 18 years. How old is the cousin?
  34. 34.Joseph thinks of a number, multiplies it by 9 and then adds 22. The result is 85. What is the number?
  35. 35.Sneha’s mother is twice as old as Sneha. Their ages add up to 12 years. How old is Sneha?
  36. 36.Kavya thinks of a number, multiplies it by 3 and then adds 2. The result is 5. What is the number?
  37. 37.Rahul is 1 years older than a cousin. Their ages add up to 21 years. How old is the cousin?
  38. 38.Solve: 3(t + 1) = 30. What is t?
  39. 39.Pooja thinks of a number, multiplies it by 7 and then adds 3. The result is 17. What is the number?
  40. 40.Solve: 5(p + 1) = 35. What is p?

Answer key

  1. 13
  2. 3
  3. 2
  4. 8
  5. 7
  6. 6
  7. 13
  8. 14
  9. 1
  10. 13
  11. 5
  12. 5
  13. 16
  14. 10
  15. 15
  16. 36
  17. 8
  18. 1
  19. 65
  20. 15
  21. 1
  22. 3
  23. 10
  24. 15
  25. 6
  26. 7
  27. 5
  28. 4
  29. 13
  30. 13
  31. 9
  32. 6
  33. 5
  34. 7
  35. 4
  36. 1
  37. 10
  38. 9
  39. 2
  40. 6

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