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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 549 · 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 x/3 + 2 = 8, what is x? (a) 30 (b) 18 (c) 6 (d) 22
  2. 2.If x/3 + 8 = 12, what is x? (a) 4 (b) 28 (c) 60 (d) 12
  3. 3.If 3x + 2 = 2x + 8, what is x? (a) 7 (b) 10 (c) 8 (d) 6
  4. 4.If x/5 + 1 = 4, what is x? (a) 3 (b) 19 (c) 15 (d) 25
  5. 5.If x/4 + 12 = 24, what is x? (a) 84 (b) 48 (c) 144 (d) 12
  6. 6.If 8x + 5 = 5x + 35, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  7. 7.If 7x − 8 = 97, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  8. 8.If 4x + 18 = 78, what is x? (a) 15 (b) 24 (c) 16 (d) 60
  9. 9.If x/5 + 4 = 11, what is x? (a) 75 (b) 7 (c) 35 (d) 51
  10. 10.If 5x + 11 = 26, what is x? (a) 4 (b) 3 (c) 15 (d) 2
  11. 11.If 3x + 27 = 69, what is x? (a) 15 (b) 14 (c) 32 (d) 42
  12. 12.If x/3 + 3 = 8, what is x? (a) 21 (b) 33 (c) 5 (d) 15
  13. 13.If x/4 + 8 = 12, what is x? (a) 4 (b) 16 (c) 40 (d) 80
  14. 14.If 4x + 10 = 26, what is x? (a) 4 (b) 9 (c) 5 (d) 16
  15. 15.If 6x + 13 = 37, what is x? (a) 4 (b) 3 (c) 24 (d) 5
  16. 16.If 9x + 7 = 4x + 32, what is x? (a) 5 (b) 7 (c) 4 (d) 6
  17. 17.If x/2 + 13 = 23, what is x? (a) 10 (b) 72 (c) 20 (d) 33
  18. 18.If x/3 + 13 = 21, what is x? (a) 50 (b) 102 (c) 24 (d) 8
  19. 19.If 5x + 15 = 4x + 17, what is x? (a) 3 (b) 32 (c) 4 (d) 2
  20. 20.If 9x + 20 = 3x + 38, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  21. 21.If 3x + 16 = 37, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  22. 22.If 4x − 2 = 30, what is x? (a) 7 (b) 32 (c) 8 (d) 9
  23. 23.If 4x + 19 = 31, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  24. 24.If 9x + 15 = 51, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  25. 25.If 7x + 4 = 4x + 37, what is x? (a) 12 (b) 13 (c) 11 (d) 3
  26. 26.If x/3 + 4 = 13, what is x? (a) 27 (b) 51 (c) 35 (d) 9
  27. 27.If 5x + 16 = 3x + 20, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  28. 28.If x/3 + 1 = 12, what is x? (a) 35 (b) 39 (c) 11 (d) 33
  29. 29.If 3x + 16 = 43, what is x? (a) 8 (b) 27 (c) 9 (d) 10
  30. 30.If 4x − 3 = 37, what is x? (a) 9 (b) 40 (c) 11 (d) 10
  31. 31.If 4x + 8 = 3x + 20, what is x? (a) 28 (b) 13 (c) 14 (d) 12
  32. 32.If x/6 + 5 = 14, what is x? (a) 114 (b) 54 (c) 9 (d) 79
  33. 33.If 6x + 6 = 18, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  34. 34.If 3x + 8 = 32, what is x? (a) 8 (b) 24 (c) 9 (d) 7
  35. 35.If 8x − 15 = 57, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  36. 36.If 6x − 11 = 13, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  37. 37.If 3x + 3 = 36, what is x? (a) 33 (b) 12 (c) 11 (d) 13
  38. 38.If 6x + 10 = 3x + 46, what is x? (a) 13 (b) 14 (c) 4 (d) 12
  39. 39.If 7x + 5 = 5x + 27, what is x? (a) 11 (b) 16 (c) 13 (d) 12
  40. 40.If 7x + 20 = x + 50, what is x? (a) 7 (b) 6 (c) 5 (d) 4

Answer key

  1. 18
  2. 12
  3. 6
  4. 15
  5. 48
  6. 10
  7. 15
  8. 15
  9. 35
  10. 3
  11. 14
  12. 15
  13. 16
  14. 4
  15. 4
  16. 5
  17. 20
  18. 24
  19. 2
  20. 3
  21. 7
  22. 8
  23. 3
  24. 4
  25. 11
  26. 27
  27. 2
  28. 33
  29. 9
  30. 10
  31. 12
  32. 54
  33. 2
  34. 8
  35. 9
  36. 4
  37. 11
  38. 12
  39. 11
  40. 5

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