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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 275 · 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 − 34 = 5, what is x? (a) 13 (b) 12 (c) 14 (d) 39
  2. 2.If 4x + 10 = x + 22, what is x? (a) 4 (b) 6 (c) 5 (d) 3
  3. 3.If 6x + 14 = 80, what is x? (a) 10 (b) 11 (c) 12 (d) 66
  4. 4.If 8x + 27 = 131, what is x? (a) 14 (b) 13 (c) 12 (d) 104
  5. 5.If 7x − 4 = 24, what is x? (a) 5 (b) 28 (c) 3 (d) 4
  6. 6.If 5x + 9 = 2x + 24, what is x? (a) 7 (b) 11 (c) 5 (d) 6
  7. 7.If x/2 + 6 = 11, what is x? (a) 34 (b) 16 (c) 10 (d) 5
  8. 8.If x/3 + 13 = 21, what is x? (a) 24 (b) 8 (c) 50 (d) 102
  9. 9.If 9x + 11 = 6x + 35, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  10. 10.If 7x + 28 = 91, what is x? (a) 63 (b) 9 (c) 17 (d) 10
  11. 11.If x/3 + 2 = 4, what is x? (a) 2 (b) 10 (c) 18 (d) 6
  12. 12.If x/3 + 6 = 11, what is x? (a) 51 (b) 15 (c) 27 (d) 5
  13. 13.If 5x + 4 = x + 16, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  14. 14.If 2x + 24 = 34, what is x? (a) 29 (b) 6 (c) 5 (d) 10
  15. 15.If x/4 + 4 = 8, what is x? (a) 28 (b) 16 (c) 4 (d) 48
  16. 16.If 6x − 33 = 39, what is x? (a) 1 (b) 13 (c) 72 (d) 12
  17. 17.If 7x + 8 = 43, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  18. 18.If 8x + 4 = 116, what is x? (a) 14 (b) 112 (c) 15 (d) 13
  19. 19.If 2x − 5 = 3, what is x? (a) 8 (b) 3 (c) 4 (d) 5
  20. 20.If 9x − 10 = 107, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  21. 21.If 4x + 5 = 33, what is x? (a) 6 (b) 8 (c) 7 (d) 28
  22. 22.If 6x − 33 = 27, what is x? (a) 60 (b) 11 (c) 9 (d) 10
  23. 23.If 2x + 9 = 19, what is x? (a) 14 (b) 10 (c) 6 (d) 5
  24. 24.If 3x + 13 = x + 29, what is x? (a) 8 (b) 9 (c) 21 (d) 4
  25. 25.If 4x + 14 = x + 50, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  26. 26.If 9x − 75 = 6, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  27. 27.If 3x + 21 = 63, what is x? (a) 28 (b) 15 (c) 14 (d) 42
  28. 28.If 7x + 17 = x + 41, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  29. 29.If 7x + 4 = 2x + 19, what is x? (a) 3 (b) 4 (c) 5 (d) 2
  30. 30.If 9x − 4 = 41, what is x? (a) 45 (b) 4 (c) 6 (d) 5
  31. 31.If 3x − 18 = 27, what is x? (a) 45 (b) 15 (c) 16 (d) 3
  32. 32.If 2x − 2 = 4, what is x? (a) 6 (b) 3 (c) 4 (d) 1
  33. 33.If 8x − 31 = 1, what is x? (a) 3 (b) 5 (c) 4 (d) 32
  34. 34.If 3x + 12 = x + 14, what is x? (a) 1 (b) 2 (c) 13 (d) 3
  35. 35.If 3x + 24 = 45, what is x? (a) 8 (b) 21 (c) 23 (d) 7
  36. 36.If 2x − 11 = 19, what is x? (a) 16 (b) 30 (c) 15 (d) 4
  37. 37.If 5x + 10 = 50, what is x? (a) 12 (b) 8 (c) 9 (d) 40
  38. 38.If 2x − 5 = 1, what is x? (a) 3 (b) 6 (c) 4 (d) 2
  39. 39.If 8x + 13 = 53, what is x? (a) 6 (b) 5 (c) 40 (d) 4
  40. 40.If x/3 + 8 = 19, what is x? (a) 49 (b) 81 (c) 33 (d) 11

Answer key

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

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