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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 381 · 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 8x + 15 = 63, what is x? (a) 5 (b) 48 (c) 6 (d) 7
  2. 2.If 5x − 51 = 24, what is x? (a) 15 (b) 14 (c) 16 (d) 75
  3. 3.If 5x − 6 = 39, what is x? (a) 10 (b) 45 (c) 8 (d) 9
  4. 4.If 4x + 18 = x + 27, what is x? (a) 4 (b) 15 (c) 5 (d) 3
  5. 5.If 7x + 20 = 2x + 35, what is x? (a) 5 (b) 11 (c) 4 (d) 3
  6. 6.If 9x + 19 = 91, what is x? (a) 7 (b) 9 (c) 8 (d) 72
  7. 7.If 4x + 8 = 64, what is x? (a) 14 (b) 18 (c) 56 (d) 15
  8. 8.If x/4 + 4 = 6, what is x? (a) 40 (b) 2 (c) 8 (d) 20
  9. 9.If x/4 + 3 = 11, what is x? (a) 8 (b) 56 (c) 41 (d) 32
  10. 10.If x/2 + 14 = 21, what is x? (a) 14 (b) 28 (c) 70 (d) 7
  11. 11.If 6x − 23 = 43, what is x? (a) 10 (b) 66 (c) 11 (d) 12
  12. 12.If 9x + 19 = 2x + 61, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  13. 13.If x/5 + 2 = 9, what is x? (a) 7 (b) 55 (c) 35 (d) 43
  14. 14.If 6x − 3 = 45, what is x? (a) 7 (b) 8 (c) 9 (d) 48
  15. 15.If x/6 + 13 = 16, what is x? (a) 83 (b) 174 (c) 3 (d) 18
  16. 16.If 4x + 1 = x + 16, what is x? (a) 7 (b) 3 (c) 6 (d) 5
  17. 17.If x/3 + 5 = 11, what is x? (a) 6 (b) 28 (c) 48 (d) 18
  18. 18.If 6x − 10 = 8, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  19. 19.If 3x − 5 = 4, what is x? (a) 2 (b) 9 (c) 4 (d) 3
  20. 20.If 9x + 23 = 122, what is x? (a) 10 (b) 11 (c) 12 (d) 99
  21. 21.If 8x + 2 = x + 44, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  22. 22.If x/4 + 3 = 13, what is x? (a) 40 (b) 64 (c) 49 (d) 10
  23. 23.If 6x + 16 = x + 61, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  24. 24.If 4x + 9 = 41, what is x? (a) 7 (b) 8 (c) 32 (d) 9
  25. 25.If 7x + 20 = 34, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  26. 26.If x/5 + 15 = 18, what is x? (a) 165 (b) 3 (c) 75 (d) 15
  27. 27.If 9x + 6 = 3x + 54, what is x? (a) 4 (b) 9 (c) 8 (d) 10
  28. 28.If 7x + 19 = x + 43, what is x? (a) 4 (b) 5 (c) 3 (d) 6
  29. 29.If x/4 + 6 = 16, what is x? (a) 10 (b) 58 (c) 40 (d) 88
  30. 30.If 5x − 12 = 38, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  31. 31.If x/2 + 3 = 5, what is x? (a) 2 (b) 7 (c) 16 (d) 4
  32. 32.If 3x + 6 = x + 12, what is x? (a) 9 (b) 4 (c) 5 (d) 3
  33. 33.If 8x + 12 = 60, what is x? (a) 9 (b) 48 (c) 6 (d) 7
  34. 34.If 4x + 16 = 2x + 38, what is x? (a) 13 (b) 12 (c) 11 (d) 27
  35. 35.If 3x + 2 = 2x + 9, what is x? (a) 9 (b) 8 (c) 7 (d) 11
  36. 36.If 3x − 25 = 2, what is x? (a) 27 (b) 9 (c) 10 (d) 8
  37. 37.If 7x + 6 = 41, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  38. 38.If 2x + 15 = 23, what is x? (a) 19 (b) 4 (c) 8 (d) 5
  39. 39.If 4x + 2 = 2x + 16, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  40. 40.If 8x + 11 = 43, what is x? (a) 5 (b) 32 (c) 4 (d) 3

Answer key

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

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