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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 372 · 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 = 74, what is x? (a) 13 (b) 60 (c) 11 (d) 12
  2. 2.If x/5 + 12 = 21, what is x? (a) 93 (b) 45 (c) 9 (d) 165
  3. 3.If 8x + 17 = 6x + 33, what is x? (a) 25 (b) 8 (c) 10 (d) 9
  4. 4.If 4x + 18 = x + 54, what is x? (a) 24 (b) 14 (c) 12 (d) 13
  5. 5.If 5x + 28 = 58, what is x? (a) 30 (b) 5 (c) 7 (d) 6
  6. 6.If 4x − 13 = 23, what is x? (a) 9 (b) 8 (c) 36 (d) 10
  7. 7.If x/2 + 6 = 9, what is x? (a) 3 (b) 30 (c) 6 (d) 12
  8. 8.If 5x + 27 = 97, what is x? (a) 13 (b) 15 (c) 70 (d) 14
  9. 9.If 4x + 9 = 2x + 33, what is x? (a) 21 (b) 4 (c) 13 (d) 12
  10. 10.If 5x + 4 = 2x + 25, what is x? (a) 9 (b) 7 (c) 8 (d) 3
  11. 11.If 4x + 6 = 58, what is x? (a) 13 (b) 14 (c) 52 (d) 16
  12. 12.If 3x − 9 = 21, what is x? (a) 10 (b) 4 (c) 30 (d) 11
  13. 13.If 8x + 5 = 4x + 37, what is x? (a) 8 (b) 7 (c) 10 (d) 9
  14. 14.If x/5 + 2 = 14, what is x? (a) 68 (b) 80 (c) 12 (d) 60
  15. 15.If 2x + 14 = 22, what is x? (a) 8 (b) 18 (c) 5 (d) 4
  16. 16.If 5x + 11 = 2x + 35, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  17. 17.If x/4 + 7 = 13, what is x? (a) 45 (b) 80 (c) 6 (d) 24
  18. 18.If 3x − 10 = 2, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  19. 19.If 2x + 20 = 46, what is x? (a) 33 (b) 14 (c) 13 (d) 26
  20. 20.If 3x + 14 = 29, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  21. 21.If 2x + 12 = 42, what is x? (a) 30 (b) 16 (c) 27 (d) 15
  22. 22.If 2x + 18 = 24, what is x? (a) 4 (b) 6 (c) 21 (d) 3
  23. 23.If 3x + 11 = x + 15, what is x? (a) 2 (b) 3 (c) 13 (d) 1
  24. 24.If 3x − 11 = 1, what is x? (a) 3 (b) 5 (c) 4 (d) 12
  25. 25.If 2x + 19 = 47, what is x? (a) 15 (b) 28 (c) 33 (d) 14
  26. 26.If x/4 + 13 = 22, what is x? (a) 9 (b) 36 (c) 140 (d) 75
  27. 27.If 3x + 18 = 2x + 28, what is x? (a) 2 (b) 11 (c) 10 (d) 46
  28. 28.If 7x − 18 = 17, what is x? (a) 4 (b) 5 (c) 35 (d) 6
  29. 29.If x/3 + 11 = 20, what is x? (a) 49 (b) 93 (c) 9 (d) 27
  30. 30.If 3x + 12 = 48, what is x? (a) 36 (b) 13 (c) 20 (d) 12
  31. 31.If 3x + 14 = 23, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  32. 32.If 7x + 4 = x + 76, what is x? (a) 9 (b) 14 (c) 12 (d) 13
  33. 33.If x/2 + 8 = 11, what is x? (a) 3 (b) 14 (c) 6 (d) 38
  34. 34.If 9x + 8 = 89, what is x? (a) 8 (b) 81 (c) 10 (d) 9
  35. 35.If 8x + 14 = 5x + 32, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  36. 36.If 9x − 117 = 9, what is x? (a) 13 (b) 14 (c) 15 (d) 126
  37. 37.If 8x + 16 = 128, what is x? (a) 18 (b) 14 (c) 112 (d) 15
  38. 38.If 4x + 29 = 45, what is x? (a) 4 (b) 5 (c) 3 (d) 16
  39. 39.If 5x + 4 = 44, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  40. 40.If x/5 + 4 = 14, what is x? (a) 90 (b) 10 (c) 66 (d) 50

Answer key

  1. 12
  2. 45
  3. 8
  4. 12
  5. 6
  6. 9
  7. 6
  8. 14
  9. 12
  10. 7
  11. 13
  12. 10
  13. 8
  14. 60
  15. 4
  16. 8
  17. 24
  18. 4
  19. 13
  20. 5
  21. 15
  22. 3
  23. 2
  24. 4
  25. 14
  26. 36
  27. 10
  28. 5
  29. 27
  30. 12
  31. 3
  32. 12
  33. 6
  34. 9
  35. 6
  36. 14
  37. 14
  38. 4
  39. 8
  40. 50

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