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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 582 · 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 = 131, what is x? (a) 15 (b) 14 (c) 16 (d) 135
  2. 2.If 8x − 24 = 8, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  3. 3.If 7x + 1 = 2x + 51, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  4. 4.If x/3 + 8 = 15, what is x? (a) 21 (b) 7 (c) 37 (d) 69
  5. 5.If 2x + 5 = 27, what is x? (a) 22 (b) 12 (c) 11 (d) 16
  6. 6.If 5x + 16 = 4x + 26, what is x? (a) 10 (b) 12 (c) 42 (d) 11
  7. 7.If 5x + 5 = 50, what is x? (a) 9 (b) 10 (c) 45 (d) 11
  8. 8.If 4x + 19 = 3x + 31, what is x? (a) 13 (b) 12 (c) 50 (d) 14
  9. 9.If 9x + 18 = 45, what is x? (a) 27 (b) 4 (c) 7 (d) 3
  10. 10.If 2x + 25 = 53, what is x? (a) 15 (b) 28 (c) 14 (d) 39
  11. 11.If x/4 + 1 = 3, what is x? (a) 16 (b) 8 (c) 2 (d) 11
  12. 12.If x/2 + 4 = 14, what is x? (a) 24 (b) 36 (c) 10 (d) 20
  13. 13.If 8x + 24 = 112, what is x? (a) 88 (b) 17 (c) 12 (d) 11
  14. 14.If x/6 + 14 = 16, what is x? (a) 12 (b) 2 (c) 180 (d) 82
  15. 15.If 9x + 23 = 41, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  16. 16.If 8x + 2 = 2x + 8, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  17. 17.If x/3 + 7 = 16, what is x? (a) 27 (b) 69 (c) 9 (d) 41
  18. 18.If 9x + 5 = 8x + 16, what is x? (a) 13 (b) 21 (c) 12 (d) 11
  19. 19.If x/3 + 14 = 16, what is x? (a) 90 (b) 2 (c) 34 (d) 6
  20. 20.If x/4 + 5 = 16, what is x? (a) 59 (b) 84 (c) 44 (d) 11
  21. 21.If 4x − 30 = 14, what is x? (a) 44 (b) 10 (c) 12 (d) 11
  22. 22.If 2x + 14 = 30, what is x? (a) 16 (b) 9 (c) 22 (d) 8
  23. 23.If 8x + 19 = 75, what is x? (a) 6 (b) 56 (c) 7 (d) 8
  24. 24.If 6x − 16 = 2, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  25. 25.If 4x + 11 = 23, what is x? (a) 2 (b) 4 (c) 12 (d) 3
  26. 26.If 4x − 20 = 12, what is x? (a) 7 (b) 8 (c) 9 (d) 32
  27. 27.If x/4 + 12 = 18, what is x? (a) 120 (b) 6 (c) 60 (d) 24
  28. 28.If 4x − 38 = 6, what is x? (a) 12 (b) 44 (c) 11 (d) 10
  29. 29.If 7x + 4 = x + 76, what is x? (a) 9 (b) 13 (c) 12 (d) 14
  30. 30.If 3x + 26 = 68, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  31. 31.If 4x + 23 = 79, what is x? (a) 13 (b) 56 (c) 15 (d) 14
  32. 32.If 3x + 11 = x + 21, what is x? (a) 5 (b) 6 (c) 7 (d) 16
  33. 33.If x/4 + 10 = 14, what is x? (a) 16 (b) 96 (c) 46 (d) 4
  34. 34.If 3x + 4 = 46, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  35. 35.If 6x + 27 = 69, what is x? (a) 16 (b) 8 (c) 42 (d) 7
  36. 36.If 9x + 3 = 57, what is x? (a) 6 (b) 54 (c) 7 (d) 5
  37. 37.If 5x − 12 = 38, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  38. 38.If x/2 + 9 = 12, what is x? (a) 3 (b) 6 (c) 15 (d) 42
  39. 39.If 3x − 14 = 7, what is x? (a) 6 (b) 8 (c) 7 (d) 21
  40. 40.If 9x + 4 = 139, what is x? (a) 16 (b) 135 (c) 14 (d) 15

Answer key

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

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