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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 182 · 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 5x − 48 = 12, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  2. 2.If 8x + 2 = 7x + 12, what is x? (a) 10 (b) 12 (c) 14 (d) 11
  3. 3.If 2x + 16 = 40, what is x? (a) 12 (b) 24 (c) 13 (d) 28
  4. 4.If 8x + 10 = 2x + 82, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  5. 5.If 3x + 11 = 41, what is x? (a) 30 (b) 9 (c) 11 (d) 10
  6. 6.If x/5 + 11 = 14, what is x? (a) 15 (b) 59 (c) 3 (d) 125
  7. 7.If 3x − 1 = 8, what is x? (a) 4 (b) 2 (c) 3 (d) 9
  8. 8.If 2x − 7 = 11, what is x? (a) 2 (b) 9 (c) 10 (d) 18
  9. 9.If 8x + 29 = 69, what is x? (a) 4 (b) 40 (c) 6 (d) 5
  10. 10.If 9x + 21 = 138, what is x? (a) 13 (b) 12 (c) 14 (d) 117
  11. 11.If 5x + 13 = 4x + 22, what is x? (a) 1 (b) 9 (c) 10 (d) 35
  12. 12.If 8x + 4 = 100, what is x? (a) 11 (b) 96 (c) 12 (d) 13
  13. 13.If 2x + 26 = 56, what is x? (a) 30 (b) 15 (c) 16 (d) 41
  14. 14.If 8x + 6 = 38, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  15. 15.If 3x + 20 = 32, what is x? (a) 12 (b) 3 (c) 5 (d) 4
  16. 16.If x/3 + 1 = 8, what is x? (a) 7 (b) 23 (c) 21 (d) 27
  17. 17.If x/4 + 14 = 17, what is x? (a) 124 (b) 3 (c) 12 (d) 54
  18. 18.If x/6 + 8 = 14, what is x? (a) 6 (b) 76 (c) 36 (d) 132
  19. 19.If 9x − 50 = 58, what is x? (a) 12 (b) 108 (c) 11 (d) 13
  20. 20.If 8x − 30 = 18, what is x? (a) 7 (b) 6 (c) 5 (d) 48
  21. 21.If 4x + 19 = 79, what is x? (a) 14 (b) 15 (c) 16 (d) 60
  22. 22.If x/3 + 15 = 24, what is x? (a) 27 (b) 117 (c) 57 (d) 9
  23. 23.If 5x + 16 = 26, what is x? (a) 10 (b) 1 (c) 2 (d) 3
  24. 24.If x/6 + 11 = 13, what is x? (a) 2 (b) 144 (c) 12 (d) 67
  25. 25.If 6x + 23 = 83, what is x? (a) 60 (b) 9 (c) 11 (d) 10
  26. 26.If 3x + 25 = 70, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  27. 27.If x/5 + 14 = 16, what is x? (a) 10 (b) 150 (c) 2 (d) 66
  28. 28.If 5x + 4 = 34, what is x? (a) 5 (b) 30 (c) 7 (d) 6
  29. 29.If 8x − 21 = 11, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  30. 30.If 7x − 12 = 16, what is x? (a) 28 (b) 5 (c) 3 (d) 4
  31. 31.If 8x + 18 = 5x + 51, what is x? (a) 23 (b) 12 (c) 11 (d) 13
  32. 32.If x/2 + 14 = 17, what is x? (a) 20 (b) 62 (c) 6 (d) 3
  33. 33.If 3x + 20 = 47, what is x? (a) 8 (b) 10 (c) 27 (d) 9
  34. 34.If 8x − 103 = 17, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  35. 35.If 8x + 26 = 146, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  36. 36.If x/3 + 9 = 21, what is x? (a) 36 (b) 54 (c) 12 (d) 90
  37. 37.If 8x + 16 = 96, what is x? (a) 11 (b) 14 (c) 80 (d) 10
  38. 38.If 6x + 3 = 93, what is x? (a) 14 (b) 16 (c) 90 (d) 15
  39. 39.If 6x + 9 = 2x + 45, what is x? (a) 8 (b) 11 (c) 10 (d) 9
  40. 40.If 8x + 17 = x + 38, what is x? (a) 2 (b) 4 (c) 3 (d) 5

Answer key

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

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