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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 56 · 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 9x + 4 = 112, what is x? (a) 108 (b) 11 (c) 13 (d) 12
  2. 2.If 9x + 7 = 115, what is x? (a) 12 (b) 108 (c) 13 (d) 11
  3. 3.If 4x + 4 = 16, what is x? (a) 3 (b) 12 (c) 4 (d) 5
  4. 4.If x/3 + 14 = 20, what is x? (a) 6 (b) 102 (c) 18 (d) 46
  5. 5.If x/4 + 7 = 11, what is x? (a) 72 (b) 4 (c) 37 (d) 16
  6. 6.If 6x + 9 = 3x + 45, what is x? (a) 4 (b) 13 (c) 18 (d) 12
  7. 7.If x/4 + 2 = 13, what is x? (a) 44 (b) 50 (c) 60 (d) 11
  8. 8.If 3x − 1 = 5, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  9. 9.If 8x + 9 = 4x + 29, what is x? (a) 7 (b) 6 (c) 4 (d) 5
  10. 10.If 6x + 1 = 25, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  11. 11.If x/4 + 15 = 24, what is x? (a) 36 (b) 81 (c) 156 (d) 9
  12. 12.If 8x + 24 = 96, what is x? (a) 72 (b) 10 (c) 9 (d) 15
  13. 13.If 7x + 14 = 4x + 32, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  14. 14.If x/5 + 3 = 6, what is x? (a) 3 (b) 45 (c) 15 (d) 27
  15. 15.If x/3 + 13 = 20, what is x? (a) 47 (b) 21 (c) 7 (d) 99
  16. 16.If 3x − 4 = 20, what is x? (a) 8 (b) 7 (c) 24 (d) 9
  17. 17.If 9x + 20 = 3x + 62, what is x? (a) 7 (b) 9 (c) 6 (d) 8
  18. 18.If x/4 + 2 = 10, what is x? (a) 8 (b) 38 (c) 32 (d) 48
  19. 19.If 6x + 13 = x + 33, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  20. 20.If 2x − 8 = 2, what is x? (a) 6 (b) 10 (c) 4 (d) 5
  21. 21.If x/2 + 15 = 26, what is x? (a) 22 (b) 11 (c) 37 (d) 82
  22. 22.If 7x + 7 = 35, what is x? (a) 4 (b) 5 (c) 6 (d) 28
  23. 23.If 6x + 1 = 5x + 11, what is x? (a) 9 (b) 10 (c) 12 (d) 11
  24. 24.If 8x + 4 = 100, what is x? (a) 12 (b) 11 (c) 13 (d) 96
  25. 25.If 2x − 19 = 5, what is x? (a) 12 (b) 11 (c) 13 (d) 24
  26. 26.If 3x + 7 = x + 21, what is x? (a) 9 (b) 7 (c) 8 (d) 14
  27. 27.If x/2 + 1 = 10, what is x? (a) 22 (b) 19 (c) 9 (d) 18
  28. 28.If x/5 + 8 = 12, what is x? (a) 52 (b) 4 (c) 100 (d) 20
  29. 29.If 8x + 29 = 141, what is x? (a) 13 (b) 15 (c) 112 (d) 14
  30. 30.If x/4 + 8 = 15, what is x? (a) 28 (b) 92 (c) 7 (d) 52
  31. 31.If 2x − 1 = 27, what is x? (a) 13 (b) 28 (c) 14 (d) 15
  32. 32.If 7x + 26 = 124, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  33. 33.If 5x + 11 = x + 35, what is x? (a) 4 (b) 7 (c) 6 (d) 8
  34. 34.If 9x − 60 = 66, what is x? (a) 15 (b) 126 (c) 13 (d) 14
  35. 35.If 9x − 120 = 6, what is x? (a) 126 (b) 14 (c) 13 (d) 15
  36. 36.If 2x + 17 = 47, what is x? (a) 30 (b) 15 (c) 32 (d) 16
  37. 37.If 6x + 8 = 50, what is x? (a) 8 (b) 7 (c) 6 (d) 42
  38. 38.If 4x + 2 = x + 23, what is x? (a) 6 (b) 8 (c) 9 (d) 7
  39. 39.If 4x + 22 = 34, what is x? (a) 3 (b) 4 (c) 14 (d) 12
  40. 40.If x/6 + 11 = 20, what is x? (a) 109 (b) 186 (c) 9 (d) 54

Answer key

  1. 12
  2. 12
  3. 3
  4. 18
  5. 16
  6. 12
  7. 44
  8. 2
  9. 5
  10. 4
  11. 36
  12. 9
  13. 6
  14. 15
  15. 21
  16. 8
  17. 7
  18. 32
  19. 4
  20. 5
  21. 22
  22. 4
  23. 10
  24. 12
  25. 12
  26. 7
  27. 18
  28. 20
  29. 14
  30. 28
  31. 14
  32. 14
  33. 6
  34. 14
  35. 14
  36. 15
  37. 7
  38. 7
  39. 3
  40. 54

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