← Solving linear equations lesson New set →

Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 111 · 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 3x − 6 = 6, what is x? (a) 4 (b) 12 (c) 5 (d) 3
  2. 2.If 8x − 80 = 8, what is x? (a) 10 (b) 12 (c) 11 (d) 88
  3. 3.If x/5 + 11 = 20, what is x? (a) 9 (b) 155 (c) 89 (d) 45
  4. 4.If x/5 + 8 = 19, what is x? (a) 87 (b) 55 (c) 135 (d) 11
  5. 5.If 3x + 20 = 2x + 24, what is x? (a) 6 (b) 44 (c) 5 (d) 4
  6. 6.If x/3 + 13 = 16, what is x? (a) 87 (b) 35 (c) 9 (d) 3
  7. 7.If 3x + 27 = 42, what is x? (a) 5 (b) 6 (c) 15 (d) 23
  8. 8.If 8x + 25 = 73, what is x? (a) 7 (b) 48 (c) 5 (d) 6
  9. 9.If x/2 + 15 = 24, what is x? (a) 9 (b) 18 (c) 33 (d) 78
  10. 10.If 9x + 19 = 7x + 29, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  11. 11.If 6x + 3 = 3x + 15, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  12. 12.If 9x − 14 = 49, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  13. 13.If 8x − 15 = 81, what is x? (a) 12 (b) 96 (c) 13 (d) 11
  14. 14.If 9x + 18 = 144, what is x? (a) 14 (b) 15 (c) 18 (d) 126
  15. 15.If 6x + 4 = 82, what is x? (a) 78 (b) 14 (c) 12 (d) 13
  16. 16.If 9x − 8 = 10, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  17. 17.If 8x + 5 = x + 47, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  18. 18.If x/2 + 5 = 8, what is x? (a) 6 (b) 26 (c) 3 (d) 11
  19. 19.If 3x + 22 = 52, what is x? (a) 30 (b) 10 (c) 11 (d) 9
  20. 20.If 6x + 19 = 3x + 40, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  21. 21.If 9x + 22 = 49, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  22. 22.If 2x − 17 = 1, what is x? (a) 18 (b) 10 (c) 9 (d) 8
  23. 23.If 7x − 16 = 40, what is x? (a) 56 (b) 8 (c) 9 (d) 7
  24. 24.If 5x + 21 = 96, what is x? (a) 15 (b) 14 (c) 75 (d) 16
  25. 25.If 2x + 21 = 45, what is x? (a) 13 (b) 33 (c) 24 (d) 12
  26. 26.If 3x + 3 = 27, what is x? (a) 10 (b) 8 (c) 9 (d) 24
  27. 27.If 8x + 25 = 65, what is x? (a) 40 (b) 4 (c) 6 (d) 5
  28. 28.If 9x + 12 = 6x + 30, what is x? (a) 6 (b) 8 (c) 7 (d) 14
  29. 29.If 8x − 67 = 13, what is x? (a) 11 (b) 9 (c) 10 (d) 80
  30. 30.If 3x + 18 = 2x + 19, what is x? (a) 2 (b) 3 (c) 37 (d) 1
  31. 31.If x/4 + 15 = 24, what is x? (a) 156 (b) 9 (c) 81 (d) 36
  32. 32.If 3x − 5 = 10, what is x? (a) 15 (b) 4 (c) 5 (d) 6
  33. 33.If 2x + 2 = 12, what is x? (a) 5 (b) 10 (c) 6 (d) 7
  34. 34.If x/3 + 9 = 11, what is x? (a) 24 (b) 60 (c) 6 (d) 2
  35. 35.If 4x + 12 = 68, what is x? (a) 20 (b) 56 (c) 15 (d) 14
  36. 36.If 9x − 118 = 8, what is x? (a) 15 (b) 14 (c) 13 (d) 126
  37. 37.If 2x − 5 = 3, what is x? (a) 8 (b) 3 (c) 5 (d) 4
  38. 38.If 9x + 2 = 7x + 14, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  39. 39.If x/3 + 13 = 18, what is x? (a) 41 (b) 15 (c) 93 (d) 5
  40. 40.If 3x − 2 = 13, what is x? (a) 15 (b) 4 (c) 5 (d) 6

Answer key

  1. 4
  2. 11
  3. 45
  4. 55
  5. 4
  6. 9
  7. 5
  8. 6
  9. 18
  10. 5
  11. 4
  12. 7
  13. 12
  14. 14
  15. 13
  16. 2
  17. 6
  18. 6
  19. 10
  20. 7
  21. 3
  22. 9
  23. 8
  24. 15
  25. 12
  26. 8
  27. 5
  28. 6
  29. 10
  30. 1
  31. 36
  32. 5
  33. 5
  34. 6
  35. 14
  36. 14
  37. 4
  38. 6
  39. 15
  40. 5

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