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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 424 · 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 5x + 14 = 2x + 32, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  2. 2.If 3x − 29 = 10, what is x? (a) 39 (b) 13 (c) 12 (d) 14
  3. 3.If 2x − 4 = 10, what is x? (a) 14 (b) 8 (c) 7 (d) 3
  4. 4.If 3x − 3 = 6, what is x? (a) 3 (b) 9 (c) 1 (d) 4
  5. 5.If 9x − 2 = 16, what is x? (a) 2 (b) 18 (c) 1 (d) 3
  6. 6.If x/3 + 2 = 11, what is x? (a) 9 (b) 31 (c) 27 (d) 39
  7. 7.If 2x + 16 = 42, what is x? (a) 29 (b) 14 (c) 13 (d) 26
  8. 8.If 4x + 10 = 3x + 20, what is x? (a) 30 (b) 10 (c) 11 (d) 12
  9. 9.If 2x + 4 = 8, what is x? (a) 3 (b) 6 (c) 2 (d) 4
  10. 10.If 2x + 13 = 29, what is x? (a) 16 (b) 21 (c) 8 (d) 9
  11. 11.If 4x + 18 = 2x + 32, what is x? (a) 8 (b) 7 (c) 9 (d) 25
  12. 12.If 4x + 17 = 2x + 23, what is x? (a) 3 (b) 20 (c) 4 (d) 1
  13. 13.If 4x + 14 = 3x + 26, what is x? (a) 12 (b) 13 (c) 14 (d) 40
  14. 14.If 4x + 11 = 2x + 13, what is x? (a) 3 (b) 1 (c) 12 (d) 2
  15. 15.If x/5 + 13 = 17, what is x? (a) 20 (b) 150 (c) 72 (d) 4
  16. 16.If 9x − 38 = 7, what is x? (a) 4 (b) 45 (c) 6 (d) 5
  17. 17.If 5x + 9 = 49, what is x? (a) 8 (b) 7 (c) 9 (d) 40
  18. 18.If x/5 + 11 = 16, what is x? (a) 135 (b) 69 (c) 5 (d) 25
  19. 19.If 9x + 3 = 6x + 30, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  20. 20.If 8x − 39 = 9, what is x? (a) 5 (b) 6 (c) 7 (d) 48
  21. 21.If 3x − 17 = 1, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  22. 22.If x/4 + 14 = 26, what is x? (a) 160 (b) 90 (c) 48 (d) 12
  23. 23.If 5x − 27 = 33, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  24. 24.If 2x + 9 = 33, what is x? (a) 21 (b) 12 (c) 13 (d) 24
  25. 25.If x/5 + 7 = 15, what is x? (a) 68 (b) 40 (c) 8 (d) 110
  26. 26.If 7x − 53 = 52, what is x? (a) 105 (b) 14 (c) 15 (d) 16
  27. 27.If x/2 + 1 = 6, what is x? (a) 11 (b) 10 (c) 14 (d) 5
  28. 28.If 7x − 41 = 36, what is x? (a) 77 (b) 11 (c) 10 (d) 12
  29. 29.If 5x + 15 = 3x + 31, what is x? (a) 9 (b) 23 (c) 8 (d) 2
  30. 30.If 4x + 25 = 65, what is x? (a) 10 (b) 11 (c) 9 (d) 40
  31. 31.If 3x + 16 = x + 34, what is x? (a) 9 (b) 11 (c) 25 (d) 10
  32. 32.If 3x + 1 = 22, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  33. 33.If x/4 + 2 = 5, what is x? (a) 12 (b) 3 (c) 28 (d) 18
  34. 34.If 3x + 26 = 35, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  35. 35.If x/4 + 12 = 17, what is x? (a) 5 (b) 56 (c) 116 (d) 20
  36. 36.If x/4 + 5 = 7, what is x? (a) 2 (b) 8 (c) 23 (d) 48
  37. 37.If x/3 + 11 = 22, what is x? (a) 33 (b) 11 (c) 55 (d) 99
  38. 38.If 3x + 13 = 2x + 22, what is x? (a) 11 (b) 35 (c) 9 (d) 10
  39. 39.If 8x + 6 = 86, what is x? (a) 80 (b) 11 (c) 10 (d) 9
  40. 40.If 3x − 7 = 14, what is x? (a) 7 (b) 6 (c) 21 (d) 8

Answer key

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

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