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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 612 · 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 3x − 12 = 33, what is x? (a) 7 (b) 45 (c) 16 (d) 15
  2. 2.If 2x + 8 = 14, what is x? (a) 3 (b) 11 (c) 6 (d) 4
  3. 3.If 5x − 14 = 36, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  4. 4.If x/3 + 4 = 8, what is x? (a) 4 (b) 12 (c) 36 (d) 20
  5. 5.If x/2 + 13 = 23, what is x? (a) 33 (b) 72 (c) 10 (d) 20
  6. 6.If 7x + 18 = 60, what is x? (a) 42 (b) 7 (c) 5 (d) 6
  7. 7.If x/2 + 4 = 7, what is x? (a) 6 (b) 3 (c) 10 (d) 22
  8. 8.If 6x − 13 = 5, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  9. 9.If 6x − 14 = 10, what is x? (a) 3 (b) 5 (c) 24 (d) 4
  10. 10.If x/2 + 9 = 14, what is x? (a) 19 (b) 5 (c) 46 (d) 10
  11. 11.If x/2 + 6 = 17, what is x? (a) 22 (b) 28 (c) 46 (d) 11
  12. 12.If 4x + 15 = 2x + 39, what is x? (a) 4 (b) 13 (c) 12 (d) 27
  13. 13.If 4x − 20 = 40, what is x? (a) 16 (b) 60 (c) 5 (d) 15
  14. 14.If 5x − 28 = 17, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  15. 15.If x/2 + 4 = 16, what is x? (a) 24 (b) 40 (c) 28 (d) 12
  16. 16.If x/3 + 4 = 15, what is x? (a) 11 (b) 33 (c) 57 (d) 41
  17. 17.If 6x − 2 = 52, what is x? (a) 8 (b) 10 (c) 9 (d) 54
  18. 18.If 3x + 2 = 2x + 3, what is x? (a) 2 (b) 1 (c) 5 (d) 3
  19. 19.If x/2 + 11 = 16, what is x? (a) 5 (b) 21 (c) 54 (d) 10
  20. 20.If 8x + 29 = 117, what is x? (a) 12 (b) 88 (c) 10 (d) 11
  21. 21.If 4x + 18 = 3x + 27, what is x? (a) 10 (b) 9 (c) 11 (d) 45
  22. 22.If 3x + 8 = 2x + 19, what is x? (a) 11 (b) 12 (c) 13 (d) 27
  23. 23.If x/5 + 12 = 16, what is x? (a) 20 (b) 4 (c) 140 (d) 68
  24. 24.If 8x + 16 = 2x + 76, what is x? (a) 6 (b) 11 (c) 12 (d) 10
  25. 25.If x/4 + 1 = 4, what is x? (a) 20 (b) 15 (c) 3 (d) 12
  26. 26.If x/4 + 15 = 21, what is x? (a) 144 (b) 6 (c) 69 (d) 24
  27. 27.If 4x − 9 = 7, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  28. 28.If x/6 + 14 = 22, what is x? (a) 118 (b) 8 (c) 48 (d) 216
  29. 29.If 8x − 11 = 29, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  30. 30.If 4x + 28 = 76, what is x? (a) 26 (b) 12 (c) 48 (d) 13
  31. 31.If 2x − 3 = 21, what is x? (a) 9 (b) 12 (c) 13 (d) 24
  32. 32.If 8x + 2 = 7x + 7, what is x? (a) 7 (b) 5 (c) 9 (d) 6
  33. 33.If 2x − 7 = 1, what is x? (a) 5 (b) 4 (c) 3 (d) 8
  34. 34.If 5x − 28 = 7, what is x? (a) 6 (b) 7 (c) 35 (d) 8
  35. 35.If 8x + 5 = 101, what is x? (a) 13 (b) 11 (c) 12 (d) 96
  36. 36.If 6x + 6 = 4x + 20, what is x? (a) 13 (b) 8 (c) 7 (d) 9
  37. 37.If 6x + 4 = 64, what is x? (a) 9 (b) 11 (c) 60 (d) 10
  38. 38.If 5x + 20 = 3x + 34, what is x? (a) 8 (b) 27 (c) 7 (d) 9
  39. 39.If 9x + 4 = x + 44, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  40. 40.If 4x + 10 = x + 34, what is x? (a) 7 (b) 10 (c) 8 (d) 9

Answer key

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

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