← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 363 · 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.Manav is 2 years older than a cousin. Their ages add up to 22 years. How old is the cousin?
  2. 2.Zoya thinks of a number, multiplies it by 3 and then adds 4. The result is 7. What is the number?
  3. 3.Solve: 6x + 23 = 65. What is x?
  4. 4.Aditya’s mother is four times as old as Aditya. Their ages add up to 30 years. How old is Aditya?
  5. 5.Solve: x/7 + 12 = 16. What is x?
  6. 6.Solve: x/2 + 4 = 7. What is x?
  7. 7.Solve: 4(m + 7) = 32. What is m?
  8. 8.Solve: y/6 + 3 = 18. What is y?
  9. 9.Arjun thinks of a number, multiplies it by 9 and then adds 20. The result is 146. What is the number?
  10. 10.Isha thinks of a number, multiplies it by 8 and then adds 24. The result is 40. What is the number?
  11. 11.Kavya is 1 years older than a cousin. Their ages add up to 31 years. How old is the cousin?
  12. 12.Rohan thinks of a number, multiplies it by 6 and then adds 7. The result is 79. What is the number?
  13. 13.Solve: 3p − 11 = 7. What is p?
  14. 14.Solve: n/3 + 20 = 22. What is n?
  15. 15.Solve: 2x + 16 = 18. What is x?
  16. 16.Arjun thinks of a number, multiplies it by 4 and then adds 3. The result is 27. What is the number?
  17. 17.Solve: 3(x + 6) = 54. What is x?
  18. 18.Manav’s mother is twice as old as Manav. Their ages add up to 12 years. How old is Manav?
  19. 19.Solve: m/7 + 15 = 26. What is m?
  20. 20.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 33 years. How old is Saanvi?
  21. 21.Riya thinks of a number, multiplies it by 7 and then adds 22. The result is 50. What is the number?
  22. 22.Solve: y/5 + 3 = 16. What is y?
  23. 23.Solve: 3(t + 7) = 30. What is t?
  24. 24.Solve: 6(x + 1) = 36. What is x?
  25. 25.Ishaan is 4 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  26. 26.Solve: t/9 + 19 = 27. What is t?
  27. 27.Solve: 4(n + 2) = 64. What is n?
  28. 28.Meera is 3 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  29. 29.Solve: 4x − 2 = 2. What is x?
  30. 30.Solve: 6x + 13 = 67. What is x?
  31. 31.Saanvi’s mother is twice as old as Saanvi. Their ages add up to 15 years. How old is Saanvi?
  32. 32.Solve: 2m − 7 = 1. What is m?
  33. 33.Solve: 7m + 6 = 34. What is m?
  34. 34.Solve: 5x − 4 = 11. What is x?
  35. 35.Dev thinks of a number, multiplies it by 6 and then adds 27. The result is 39. What is the number?
  36. 36.Solve: 3m + 18 = 45. What is m?
  37. 37.Solve: 7x + 25 = 81. What is x?
  38. 38.Solve: 5(y + 5) = 35. What is y?
  39. 39.Solve: 3(p + 7) = 51. What is p?
  40. 40.Pooja thinks of a number, multiplies it by 4 and then adds 25. The result is 41. What is the number?

Answer key

  1. 10
  2. 1
  3. 7
  4. 6
  5. 28
  6. 6
  7. 1
  8. 90
  9. 14
  10. 2
  11. 15
  12. 12
  13. 6
  14. 6
  15. 1
  16. 6
  17. 12
  18. 4
  19. 77
  20. 11
  21. 4
  22. 65
  23. 3
  24. 5
  25. 13
  26. 72
  27. 14
  28. 8
  29. 1
  30. 9
  31. 5
  32. 4
  33. 4
  34. 3
  35. 2
  36. 9
  37. 8
  38. 2
  39. 10
  40. 4

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