← Simple equations lesson New set →

Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 202 · 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.Nisha thinks of a number, multiplies it by 9 and then adds 4. The result is 94. What is the number?
  2. 2.Solve: 7n − 27 = 1. What is n?
  3. 3.Solve: 7(p + 3) = 42. What is p?
  4. 4.Solve: 2(x + 2) = 26. What is x?
  5. 5.Solve: t/3 + 15 = 23. What is t?
  6. 6.Tara is 8 years older than a cousin. Their ages add up to 30 years. How old is the cousin?
  7. 7.Solve: 7(y + 5) = 63. What is y?
  8. 8.Solve: x/2 + 18 = 20. What is x?
  9. 9.Solve: 3y − 3 = 27. What is y?
  10. 10.Solve: 7n + 17 = 31. What is n?
  11. 11.Solve: 6p + 16 = 100. What is p?
  12. 12.Rahul’s mother is four times as old as Rahul. Their ages add up to 50 years. How old is Rahul?
  13. 13.Solve: 6m + 23 = 71. What is m?
  14. 14.Solve: m/8 + 5 = 6. What is m?
  15. 15.Solve: m/8 + 8 = 10. What is m?
  16. 16.Solve: 6(t + 3) = 66. What is t?
  17. 17.Solve: 7n + 27 = 83. What is n?
  18. 18.Solve: 4x − 6 = 2. What is x?
  19. 19.Diya thinks of a number, multiplies it by 9 and then adds 9. The result is 81. What is the number?
  20. 20.Solve: 4(x + 5) = 48. What is x?
  21. 21.Solve: 3y − 3 = 3. What is y?
  22. 22.Solve: 3m − 1 = 44. What is m?
  23. 23.Vivaan thinks of a number, multiplies it by 9 and then adds 2. The result is 110. What is the number?
  24. 24.Solve: 9y − 36 = 18. What is y?
  25. 25.Solve: 6x − 8 = 4. What is x?
  26. 26.Solve: 9(m + 9) = 180. What is m?
  27. 27.Solve: 9(n + 7) = 144. What is n?
  28. 28.Solve: x/3 + 3 = 9. What is x?
  29. 29.Solve: 8x + 17 = 49. What is x?
  30. 30.Solve: 9(t + 9) = 144. What is t?
  31. 31.Solve: 9m + 3 = 129. What is m?
  32. 32.Solve: 6(t + 7) = 66. What is t?
  33. 33.Rohan is 2 years older than a cousin. Their ages add up to 14 years. How old is the cousin?
  34. 34.Gurpreet thinks of a number, multiplies it by 8 and then adds 3. The result is 99. What is the number?
  35. 35.Joseph thinks of a number, multiplies it by 3 and then adds 17. The result is 26. What is the number?
  36. 36.Gurpreet thinks of a number, multiplies it by 8 and then adds 1. The result is 17. What is the number?
  37. 37.Riya is 2 years older than a cousin. Their ages add up to 32 years. How old is the cousin?
  38. 38.Solve: 6(y + 1) = 30. What is y?
  39. 39.Solve: 7(p + 4) = 77. What is p?
  40. 40.Solve: 5n + 12 = 72. What is n?

Answer key

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

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