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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 431 · 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 4x + 9 = 2x + 23, what is x? (a) 16 (b) 7 (c) 8 (d) 9
  2. 2.If 3x + 3 = 15, what is x? (a) 5 (b) 4 (c) 12 (d) 6
  3. 3.If 8x + 2 = 90, what is x? (a) 10 (b) 11 (c) 88 (d) 12
  4. 4.If x/3 + 9 = 19, what is x? (a) 84 (b) 30 (c) 48 (d) 10
  5. 5.If x/2 + 1 = 4, what is x? (a) 7 (b) 10 (c) 3 (d) 6
  6. 6.If 5x + 12 = x + 36, what is x? (a) 4 (b) 7 (c) 12 (d) 6
  7. 7.If 8x + 17 = 105, what is x? (a) 12 (b) 10 (c) 11 (d) 88
  8. 8.If 3x + 24 = 36, what is x? (a) 4 (b) 12 (c) 5 (d) 20
  9. 9.If x/2 + 14 = 16, what is x? (a) 60 (b) 4 (c) 18 (d) 2
  10. 10.If 8x + 12 = x + 54, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  11. 11.If 3x − 2 = 37, what is x? (a) 12 (b) 13 (c) 14 (d) 39
  12. 12.If 8x + 13 = 7x + 22, what is x? (a) 9 (b) 10 (c) 11 (d) 35
  13. 13.If 8x + 3 = 2x + 21, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  14. 14.If 4x + 20 = 3x + 32, what is x? (a) 13 (b) 14 (c) 52 (d) 12
  15. 15.If 2x + 2 = 20, what is x? (a) 9 (b) 10 (c) 18 (d) 11
  16. 16.If 5x + 4 = 29, what is x? (a) 25 (b) 5 (c) 6 (d) 4
  17. 17.If 3x + 3 = 2x + 13, what is x? (a) 2 (b) 11 (c) 16 (d) 10
  18. 18.If 4x + 11 = 3x + 12, what is x? (a) 2 (b) 23 (c) 3 (d) 1
  19. 19.If 8x + 4 = 7x + 15, what is x? (a) 11 (b) 13 (c) 19 (d) 12
  20. 20.If 4x + 2 = x + 26, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  21. 21.If 5x + 6 = x + 34, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  22. 22.If 4x + 5 = 3x + 12, what is x? (a) 1 (b) 17 (c) 8 (d) 7
  23. 23.If 9x − 4 = 41, what is x? (a) 45 (b) 6 (c) 5 (d) 4
  24. 24.If 7x − 22 = 34, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  25. 25.If x/3 + 2 = 5, what is x? (a) 13 (b) 9 (c) 21 (d) 3
  26. 26.If 3x − 3 = 33, what is x? (a) 36 (b) 13 (c) 10 (d) 12
  27. 27.If 5x + 7 = 32, what is x? (a) 25 (b) 4 (c) 5 (d) 6
  28. 28.If 2x + 30 = 42, what is x? (a) 7 (b) 12 (c) 36 (d) 6
  29. 29.If 5x + 16 = 46, what is x? (a) 7 (b) 30 (c) 5 (d) 6
  30. 30.If 9x + 19 = x + 107, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  31. 31.If x/5 + 12 = 19, what is x? (a) 7 (b) 155 (c) 35 (d) 83
  32. 32.If 5x + 11 = 3x + 15, what is x? (a) 13 (b) 4 (c) 3 (d) 2
  33. 33.If 6x + 2 = 56, what is x? (a) 9 (b) 10 (c) 54 (d) 8
  34. 34.If 4x + 1 = x + 7, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  35. 35.If 9x − 120 = 6, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  36. 36.If 6x − 8 = 4, what is x? (a) 1 (b) 12 (c) 3 (d) 2
  37. 37.If x/6 + 14 = 18, what is x? (a) 192 (b) 24 (c) 94 (d) 4
  38. 38.If 7x + 10 = x + 28, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  39. 39.If x/6 + 5 = 14, what is x? (a) 79 (b) 54 (c) 114 (d) 9
  40. 40.If 8x − 8 = 32, what is x? (a) 40 (b) 6 (c) 5 (d) 3

Answer key

  1. 7
  2. 4
  3. 11
  4. 30
  5. 6
  6. 6
  7. 11
  8. 4
  9. 4
  10. 6
  11. 13
  12. 9
  13. 3
  14. 12
  15. 9
  16. 5
  17. 10
  18. 1
  19. 11
  20. 8
  21. 7
  22. 7
  23. 5
  24. 8
  25. 9
  26. 12
  27. 5
  28. 6
  29. 6
  30. 11
  31. 35
  32. 2
  33. 9
  34. 2
  35. 14
  36. 2
  37. 24
  38. 3
  39. 54
  40. 5

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