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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 369 · 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 2x + 24 = 38, what is x? (a) 14 (b) 7 (c) 31 (d) 8
  2. 2.If 2x + 29 = 45, what is x? (a) 37 (b) 9 (c) 16 (d) 8
  3. 3.If 3x − 6 = 24, what is x? (a) 6 (b) 30 (c) 10 (d) 11
  4. 4.If 6x − 11 = 7, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  5. 5.If 4x + 30 = 50, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  6. 6.If 8x + 17 = 33, what is x? (a) 2 (b) 1 (c) 3 (d) 16
  7. 7.If x/3 + 10 = 16, what is x? (a) 78 (b) 38 (c) 18 (d) 6
  8. 8.If 5x − 1 = 9, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  9. 9.If x/2 + 5 = 13, what is x? (a) 16 (b) 36 (c) 8 (d) 21
  10. 10.If x/5 + 3 = 5, what is x? (a) 22 (b) 2 (c) 40 (d) 10
  11. 11.If 3x − 4 = 2, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  12. 12.If 4x + 5 = 37, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  13. 13.If x/5 + 5 = 15, what is x? (a) 10 (b) 50 (c) 100 (d) 70
  14. 14.If 4x + 12 = x + 30, what is x? (a) 8 (b) 7 (c) 6 (d) 14
  15. 15.If 7x + 1 = 3x + 5, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  16. 16.If x/4 + 14 = 17, what is x? (a) 3 (b) 124 (c) 54 (d) 12
  17. 17.If 3x − 3 = 15, what is x? (a) 18 (b) 4 (c) 6 (d) 7
  18. 18.If 5x + 3 = x + 47, what is x? (a) 13 (b) 10 (c) 12 (d) 11
  19. 19.If x/5 + 13 = 15, what is x? (a) 2 (b) 62 (c) 140 (d) 10
  20. 20.If 8x + 5 = 2x + 23, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  21. 21.If 7x + 20 = 3x + 44, what is x? (a) 8 (b) 16 (c) 6 (d) 7
  22. 22.If 2x − 10 = 6, what is x? (a) 16 (b) 9 (c) 8 (d) 7
  23. 23.If 8x + 1 = x + 85, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  24. 24.If 9x + 2 = x + 42, what is x? (a) 6 (b) 4 (c) 5 (d) 7
  25. 25.If x/6 + 15 = 18, what is x? (a) 18 (b) 198 (c) 93 (d) 3
  26. 26.If 6x + 10 = 4x + 26, what is x? (a) 10 (b) 9 (c) 18 (d) 8
  27. 27.If 6x + 13 = 2x + 37, what is x? (a) 8 (b) 6 (c) 3 (d) 7
  28. 28.If 6x − 26 = 16, what is x? (a) 8 (b) 7 (c) 6 (d) 42
  29. 29.If x/4 + 15 = 17, what is x? (a) 2 (b) 53 (c) 8 (d) 128
  30. 30.If 3x + 7 = 16, what is x? (a) 9 (b) 2 (c) 3 (d) 4
  31. 31.If 3x + 12 = x + 28, what is x? (a) 9 (b) 20 (c) 8 (d) 4
  32. 32.If 8x + 15 = 111, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  33. 33.If 7x − 12 = 9, what is x? (a) 3 (b) 21 (c) 2 (d) 4
  34. 34.If 8x + 10 = x + 59, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  35. 35.If 4x + 25 = 37, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  36. 36.If 7x + 11 = 81, what is x? (a) 70 (b) 10 (c) 11 (d) 9
  37. 37.If x/2 + 11 = 23, what is x? (a) 68 (b) 24 (c) 12 (d) 35
  38. 38.If 4x + 3 = 43, what is x? (a) 40 (b) 10 (c) 9 (d) 11
  39. 39.If 5x + 10 = 3x + 16, what is x? (a) 3 (b) 5 (c) 4 (d) 13
  40. 40.If 7x + 17 = 6x + 29, what is x? (a) 12 (b) 46 (c) 14 (d) 13

Answer key

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

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