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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 202 · 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 + 13 = 2x + 17, what is x? (a) 30 (b) 6 (c) 5 (d) 4
  2. 2.If 5x − 45 = 25, what is x? (a) 14 (b) 15 (c) 13 (d) 70
  3. 3.If 6x + 11 = x + 16, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  4. 4.If 6x + 24 = 42, what is x? (a) 11 (b) 3 (c) 18 (d) 4
  5. 5.If x/6 + 13 = 17, what is x? (a) 180 (b) 4 (c) 89 (d) 24
  6. 6.If 4x − 11 = 1, what is x? (a) 2 (b) 3 (c) 12 (d) 4
  7. 7.If 9x + 21 = 156, what is x? (a) 135 (b) 15 (c) 14 (d) 16
  8. 8.If 5x + 1 = 4x + 3, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  9. 9.If 3x + 14 = 35, what is x? (a) 6 (b) 7 (c) 21 (d) 8
  10. 10.If 3x − 7 = 38, what is x? (a) 15 (b) 16 (c) 14 (d) 45
  11. 11.If 4x + 18 = 74, what is x? (a) 14 (b) 15 (c) 56 (d) 23
  12. 12.If 3x + 4 = 2x + 8, what is x? (a) 5 (b) 12 (c) 4 (d) 6
  13. 13.If 3x + 2 = 44, what is x? (a) 42 (b) 14 (c) 15 (d) 13
  14. 14.If 9x − 87 = 48, what is x? (a) 14 (b) 15 (c) 135 (d) 16
  15. 15.If 2x − 2 = 8, what is x? (a) 6 (b) 10 (c) 3 (d) 5
  16. 16.If 6x − 10 = 44, what is x? (a) 10 (b) 8 (c) 54 (d) 9
  17. 17.If 9x + 2 = 74, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  18. 18.If 3x − 13 = 5, what is x? (a) 18 (b) 6 (c) 5 (d) 7
  19. 19.If x/3 + 13 = 22, what is x? (a) 9 (b) 53 (c) 105 (d) 27
  20. 20.If 6x − 6 = 48, what is x? (a) 9 (b) 54 (c) 7 (d) 10
  21. 21.If x/2 + 8 = 14, what is x? (a) 20 (b) 6 (c) 44 (d) 12
  22. 22.If 8x + 4 = 6x + 12, what is x? (a) 8 (b) 6 (c) 4 (d) 5
  23. 23.If 2x + 17 = 41, what is x? (a) 24 (b) 29 (c) 12 (d) 13
  24. 24.If x/2 + 5 = 12, what is x? (a) 7 (b) 14 (c) 34 (d) 19
  25. 25.If 2x + 16 = 20, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  26. 26.If 4x + 18 = 2x + 22, what is x? (a) 3 (b) 20 (c) 2 (d) 4
  27. 27.If 3x − 21 = 12, what is x? (a) 33 (b) 12 (c) 11 (d) 10
  28. 28.If 4x − 27 = 33, what is x? (a) 15 (b) 60 (c) 14 (d) 16
  29. 29.If 5x + 4 = 74, what is x? (a) 15 (b) 14 (c) 13 (d) 70
  30. 30.If 6x + 2 = 4x + 14, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  31. 31.If x/2 + 6 = 9, what is x? (a) 12 (b) 30 (c) 3 (d) 6
  32. 32.If 8x + 17 = 7x + 23, what is x? (a) 8 (b) 7 (c) 40 (d) 6
  33. 33.If 4x − 6 = 6, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  34. 34.If 4x − 3 = 37, what is x? (a) 10 (b) 9 (c) 40 (d) 11
  35. 35.If x/4 + 4 = 7, what is x? (a) 24 (b) 44 (c) 3 (d) 12
  36. 36.If 3x − 8 = 7, what is x? (a) 6 (b) 4 (c) 15 (d) 5
  37. 37.If 5x − 10 = 5, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  38. 38.If x/4 + 15 = 25, what is x? (a) 160 (b) 10 (c) 40 (d) 85
  39. 39.If 5x + 22 = 37, what is x? (a) 2 (b) 3 (c) 15 (d) 4
  40. 40.If 8x − 17 = 7, what is x? (a) 4 (b) 3 (c) 24 (d) 2

Answer key

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

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