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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 509 · 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 + 11 = x + 33, what is x? (a) 22 (b) 12 (c) 11 (d) 13
  2. 2.If 9x − 10 = 125, what is x? (a) 14 (b) 135 (c) 16 (d) 15
  3. 3.If 9x − 16 = 83, what is x? (a) 12 (b) 99 (c) 10 (d) 11
  4. 4.If 3x − 15 = 24, what is x? (a) 3 (b) 13 (c) 39 (d) 14
  5. 5.If 4x + 26 = 78, what is x? (a) 13 (b) 52 (c) 26 (d) 14
  6. 6.If 5x − 19 = 31, what is x? (a) 11 (b) 9 (c) 10 (d) 50
  7. 7.If x/2 + 10 = 21, what is x? (a) 32 (b) 62 (c) 11 (d) 22
  8. 8.If 5x − 50 = 10, what is x? (a) 60 (b) 13 (c) 11 (d) 12
  9. 9.If 3x − 28 = 5, what is x? (a) 11 (b) 33 (c) 10 (d) 12
  10. 10.If 2x + 19 = 35, what is x? (a) 9 (b) 27 (c) 16 (d) 8
  11. 11.If 2x + 4 = 34, what is x? (a) 16 (b) 30 (c) 19 (d) 15
  12. 12.If 4x − 4 = 8, what is x? (a) 4 (b) 1 (c) 12 (d) 3
  13. 13.If 6x + 9 = 4x + 17, what is x? (a) 6 (b) 13 (c) 4 (d) 5
  14. 14.If x/4 + 4 = 10, what is x? (a) 36 (b) 6 (c) 24 (d) 56
  15. 15.If 8x + 2 = 6x + 26, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  16. 16.If 8x + 8 = 104, what is x? (a) 12 (b) 96 (c) 13 (d) 14
  17. 17.If x/4 + 11 = 20, what is x? (a) 69 (b) 124 (c) 9 (d) 36
  18. 18.If 9x + 7 = 88, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  19. 19.If 3x + 4 = 49, what is x? (a) 45 (b) 15 (c) 16 (d) 14
  20. 20.If x/5 + 15 = 18, what is x? (a) 75 (b) 15 (c) 165 (d) 3
  21. 21.If 9x + 15 = 2x + 78, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  22. 22.If 4x − 4 = 16, what is x? (a) 5 (b) 20 (c) 6 (d) 3
  23. 23.If x/2 + 5 = 9, what is x? (a) 13 (b) 8 (c) 28 (d) 4
  24. 24.If x/6 + 14 = 21, what is x? (a) 112 (b) 210 (c) 42 (d) 7
  25. 25.If 4x + 20 = 3x + 29, what is x? (a) 10 (b) 49 (c) 9 (d) 11
  26. 26.If x/2 + 2 = 5, what is x? (a) 8 (b) 6 (c) 14 (d) 3
  27. 27.If x/2 + 13 = 15, what is x? (a) 56 (b) 4 (c) 2 (d) 17
  28. 28.If 6x + 19 = 4x + 33, what is x? (a) 8 (b) 7 (c) 26 (d) 9
  29. 29.If 6x + 19 = 4x + 41, what is x? (a) 13 (b) 30 (c) 12 (d) 11
  30. 30.If x/5 + 5 = 13, what is x? (a) 8 (b) 90 (c) 40 (d) 60
  31. 31.If x/3 + 9 = 11, what is x? (a) 60 (b) 2 (c) 24 (d) 6
  32. 32.If 7x − 14 = 21, what is x? (a) 1 (b) 6 (c) 5 (d) 35
  33. 33.If x/2 + 1 = 9, what is x? (a) 17 (b) 8 (c) 20 (d) 16
  34. 34.If 6x − 11 = 1, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  35. 35.If 8x + 4 = 28, what is x? (a) 24 (b) 3 (c) 4 (d) 2
  36. 36.If x/2 + 6 = 10, what is x? (a) 32 (b) 14 (c) 4 (d) 8
  37. 37.If 9x − 11 = 115, what is x? (a) 13 (b) 15 (c) 126 (d) 14
  38. 38.If 7x − 8 = 6, what is x? (a) 3 (b) 14 (c) 1 (d) 2
  39. 39.If 3x + 2 = 29, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  40. 40.If 8x + 6 = 126, what is x? (a) 14 (b) 15 (c) 120 (d) 16

Answer key

  1. 11
  2. 15
  3. 11
  4. 13
  5. 13
  6. 10
  7. 22
  8. 12
  9. 11
  10. 8
  11. 15
  12. 3
  13. 4
  14. 24
  15. 12
  16. 12
  17. 36
  18. 9
  19. 15
  20. 15
  21. 9
  22. 5
  23. 8
  24. 42
  25. 9
  26. 6
  27. 4
  28. 7
  29. 11
  30. 40
  31. 6
  32. 5
  33. 16
  34. 2
  35. 3
  36. 8
  37. 14
  38. 2
  39. 9
  40. 15

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