← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 139 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 6x + 7 = 3x + 37, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  2. 2.If 3x + 6 = 15, what is x? (a) 9 (b) 3 (c) 4 (d) 7
  3. 3.If 3x + 13 = 2x + 25, what is x? (a) 13 (b) 12 (c) 14 (d) 38
  4. 4.If 5x − 54 = 21, what is x? (a) 14 (b) 75 (c) 15 (d) 16
  5. 5.If 5x + 21 = 31, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  6. 6.If 5x + 12 = 27, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  7. 7.If 8x + 2 = 18, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  8. 8.If x/5 + 6 = 18, what is x? (a) 60 (b) 120 (c) 12 (d) 84
  9. 9.If 8x + 5 = 109, what is x? (a) 104 (b) 14 (c) 12 (d) 13
  10. 10.If 9x + 20 = 146, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  11. 11.If 8x + 26 = 114, what is x? (a) 88 (b) 11 (c) 10 (d) 12
  12. 12.If 7x + 13 = 90, what is x? (a) 77 (b) 10 (c) 11 (d) 12
  13. 13.If 5x − 2 = 43, what is x? (a) 8 (b) 9 (c) 45 (d) 10
  14. 14.If 3x − 8 = 4, what is x? (a) 4 (b) 3 (c) 5 (d) 12
  15. 15.If 3x − 22 = 11, what is x? (a) 11 (b) 10 (c) 12 (d) 33
  16. 16.If 4x + 28 = 84, what is x? (a) 28 (b) 15 (c) 56 (d) 14
  17. 17.If 7x − 24 = 25, what is x? (a) 7 (b) 6 (c) 49 (d) 8
  18. 18.If 6x + 27 = 93, what is x? (a) 12 (b) 66 (c) 20 (d) 11
  19. 19.If 5x + 1 = 3x + 7, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  20. 20.If 8x + 18 = 3x + 63, what is x? (a) 8 (b) 9 (c) 11 (d) 10
  21. 21.If 9x + 7 = 34, what is x? (a) 27 (b) 3 (c) 4 (d) 2
  22. 22.If 6x + 7 = 31, what is x? (a) 24 (b) 4 (c) 5 (d) 3
  23. 23.If 5x + 11 = 3x + 29, what is x? (a) 20 (b) 10 (c) 11 (d) 9
  24. 24.If 3x − 23 = 19, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  25. 25.If 2x − 7 = 7, what is x? (a) 7 (b) 6 (c) 8 (d) 14
  26. 26.If 2x + 6 = 16, what is x? (a) 5 (b) 10 (c) 6 (d) 11
  27. 27.If 8x + 11 = 75, what is x? (a) 7 (b) 9 (c) 8 (d) 64
  28. 28.If 6x + 6 = 2x + 30, what is x? (a) 3 (b) 7 (c) 6 (d) 9
  29. 29.If 9x − 86 = 22, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  30. 30.If 9x + 2 = 4x + 57, what is x? (a) 10 (b) 13 (c) 12 (d) 11
  31. 31.If 5x + 3 = 4x + 12, what is x? (a) 1 (b) 10 (c) 9 (d) 15
  32. 32.If 7x − 65 = 19, what is x? (a) 12 (b) 11 (c) 13 (d) 84
  33. 33.If 6x + 23 = 41, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  34. 34.If 3x + 28 = 43, what is x? (a) 15 (b) 5 (c) 6 (d) 4
  35. 35.If 9x + 6 = 132, what is x? (a) 15 (b) 13 (c) 14 (d) 126
  36. 36.If 8x + 19 = 5x + 37, what is x? (a) 5 (b) 7 (c) 6 (d) 8
  37. 37.If x/3 + 12 = 18, what is x? (a) 42 (b) 90 (c) 6 (d) 18
  38. 38.If x/3 + 5 = 7, what is x? (a) 2 (b) 6 (c) 36 (d) 16
  39. 39.If x/4 + 6 = 18, what is x? (a) 96 (b) 48 (c) 66 (d) 12
  40. 40.If x/3 + 14 = 26, what is x? (a) 64 (b) 120 (c) 36 (d) 12

Answer key

  1. 10
  2. 3
  3. 12
  4. 15
  5. 2
  6. 3
  7. 2
  8. 60
  9. 13
  10. 14
  11. 11
  12. 11
  13. 9
  14. 4
  15. 11
  16. 14
  17. 7
  18. 11
  19. 3
  20. 9
  21. 3
  22. 4
  23. 9
  24. 14
  25. 7
  26. 5
  27. 8
  28. 6
  29. 12
  30. 11
  31. 9
  32. 12
  33. 3
  34. 5
  35. 14
  36. 6
  37. 18
  38. 6
  39. 48
  40. 36

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