← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 414 · 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.Rohan thinks of a number, multiplies it by 3 and then adds 6. The result is 18. What is the number?
  2. 2.Solve: 5n − 20 = 25. What is n?
  3. 3.Ishaan thinks of a number, multiplies it by 4 and then adds 27. The result is 43. What is the number?
  4. 4.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 20 years. How old is Saanvi?
  5. 5.Solve: n/2 + 18 = 27. What is n?
  6. 6.Solve: 2(x + 9) = 42. What is x?
  7. 7.Solve: 2m − 13 = 15. What is m?
  8. 8.Rohan thinks of a number, multiplies it by 4 and then adds 29. The result is 69. What is the number?
  9. 9.Solve: 4n − 17 = 35. What is n?
  10. 10.Tara’s mother is twice as old as Tara. Their ages add up to 21 years. How old is Tara?
  11. 11.Saanvi’s mother is three times as old as Saanvi. Their ages add up to 56 years. How old is Saanvi?
  12. 12.Solve: 4(t + 9) = 76. What is t?
  13. 13.Solve: 9t + 4 = 22. What is t?
  14. 14.Solve: m/4 + 4 = 18. What is m?
  15. 15.Solve: t/3 + 3 = 14. What is t?
  16. 16.Solve: 8x − 26 = 62. What is x?
  17. 17.Solve: 6p + 9 = 27. What is p?
  18. 18.Solve: p/8 + 20 = 29. What is p?
  19. 19.Solve: 3x + 3 = 12. What is x?
  20. 20.Tara is 5 years older than a cousin. Their ages add up to 33 years. How old is the cousin?
  21. 21.Lakshmi thinks of a number, multiplies it by 3 and then adds 30. The result is 54. What is the number?
  22. 22.Rohan’s mother is four times as old as Rohan. Their ages add up to 25 years. How old is Rohan?
  23. 23.Solve: m/2 + 6 = 21. What is m?
  24. 24.Dev is 3 years older than a cousin. Their ages add up to 13 years. How old is the cousin?
  25. 25.Solve: 8n − 102 = 10. What is n?
  26. 26.Ananya is 8 years older than a cousin. Their ages add up to 20 years. How old is the cousin?
  27. 27.Solve: 7(y + 7) = 77. What is y?
  28. 28.Lakshmi is 4 years older than a cousin. Their ages add up to 12 years. How old is the cousin?
  29. 29.Ananya is 5 years older than a cousin. Their ages add up to 19 years. How old is the cousin?
  30. 30.Diya thinks of a number, multiplies it by 4 and then adds 5. The result is 45. What is the number?
  31. 31.Gurpreet thinks of a number, multiplies it by 6 and then adds 3. The result is 93. What is the number?
  32. 32.Solve: 2(n + 7) = 20. What is n?
  33. 33.Solve: 9m + 24 = 69. What is m?
  34. 34.Solve: 9y − 94 = 32. What is y?
  35. 35.Solve: 4n − 1 = 7. What is n?
  36. 36.Solve: 6x − 11 = 49. What is x?
  37. 37.Ishaan’s mother is twice as old as Ishaan. Their ages add up to 27 years. How old is Ishaan?
  38. 38.Solve: p/2 + 17 = 20. What is p?
  39. 39.Riya thinks of a number, multiplies it by 7 and then adds 16. The result is 121. What is the number?
  40. 40.Lakshmi’s mother is four times as old as Lakshmi. Their ages add up to 30 years. How old is Lakshmi?

Answer key

  1. 4
  2. 9
  3. 4
  4. 5
  5. 18
  6. 12
  7. 14
  8. 10
  9. 13
  10. 7
  11. 14
  12. 10
  13. 2
  14. 56
  15. 33
  16. 11
  17. 3
  18. 72
  19. 3
  20. 14
  21. 8
  22. 5
  23. 30
  24. 5
  25. 14
  26. 6
  27. 4
  28. 4
  29. 7
  30. 10
  31. 15
  32. 3
  33. 5
  34. 14
  35. 2
  36. 10
  37. 9
  38. 6
  39. 15
  40. 6

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