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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 178 · 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/6 + 1 = 3, what is x? (a) 2 (b) 24 (c) 17 (d) 12
  2. 2.If 7x − 3 = 32, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  3. 3.If 2x + 4 = 16, what is x? (a) 10 (b) 6 (c) 7 (d) 12
  4. 4.If 9x + 26 = 44, what is x? (a) 1 (b) 3 (c) 2 (d) 18
  5. 5.If 3x + 8 = x + 32, what is x? (a) 12 (b) 6 (c) 13 (d) 20
  6. 6.If 9x + 30 = 57, what is x? (a) 4 (b) 2 (c) 3 (d) 27
  7. 7.If 6x + 11 = 3x + 35, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  8. 8.If 4x + 1 = x + 37, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  9. 9.If 3x + 13 = 46, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  10. 10.If x/2 + 9 = 13, what is x? (a) 44 (b) 8 (c) 4 (d) 17
  11. 11.If x/2 + 10 = 13, what is x? (a) 46 (b) 3 (c) 16 (d) 6
  12. 12.If 2x − 3 = 3, what is x? (a) 6 (b) 4 (c) 2 (d) 3
  13. 13.If 5x + 12 = 42, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  14. 14.If 4x − 29 = 31, what is x? (a) 14 (b) 15 (c) 60 (d) 16
  15. 15.If 2x + 24 = 44, what is x? (a) 34 (b) 11 (c) 10 (d) 20
  16. 16.If 5x − 24 = 11, what is x? (a) 8 (b) 6 (c) 7 (d) 35
  17. 17.If 4x + 16 = 3x + 25, what is x? (a) 9 (b) 10 (c) 11 (d) 41
  18. 18.If 8x − 52 = 4, what is x? (a) 56 (b) 8 (c) 6 (d) 7
  19. 19.If x/4 + 12 = 17, what is x? (a) 5 (b) 56 (c) 116 (d) 20
  20. 20.If x/6 + 12 = 18, what is x? (a) 96 (b) 36 (c) 6 (d) 180
  21. 21.If 5x + 19 = x + 23, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  22. 22.If x/4 + 5 = 10, what is x? (a) 60 (b) 20 (c) 5 (d) 35
  23. 23.If 2x − 1 = 9, what is x? (a) 4 (b) 10 (c) 6 (d) 5
  24. 24.If 9x + 14 = x + 110, what is x? (a) 12 (b) 11 (c) 14 (d) 13
  25. 25.If 4x − 5 = 15, what is x? (a) 4 (b) 5 (c) 6 (d) 20
  26. 26.If 4x − 20 = 32, what is x? (a) 3 (b) 13 (c) 14 (d) 52
  27. 27.If 8x + 15 = 47, what is x? (a) 4 (b) 32 (c) 3 (d) 5
  28. 28.If 7x + 16 = 4x + 19, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  29. 29.If x/3 + 2 = 13, what is x? (a) 11 (b) 37 (c) 33 (d) 45
  30. 30.If 3x + 21 = 66, what is x? (a) 16 (b) 15 (c) 29 (d) 45
  31. 31.If x/2 + 7 = 12, what is x? (a) 5 (b) 10 (c) 38 (d) 17
  32. 32.If x/6 + 6 = 18, what is x? (a) 72 (b) 144 (c) 102 (d) 12
  33. 33.If 5x + 21 = 41, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  34. 34.If 5x + 18 = 3x + 26, what is x? (a) 4 (b) 5 (c) 22 (d) 1
  35. 35.If 8x − 75 = 37, what is x? (a) 112 (b) 13 (c) 14 (d) 15
  36. 36.If 5x + 5 = 4x + 11, what is x? (a) 7 (b) 8 (c) 16 (d) 6
  37. 37.If 6x + 13 = 55, what is x? (a) 6 (b) 42 (c) 8 (d) 7
  38. 38.If 3x + 20 = 2x + 29, what is x? (a) 49 (b) 10 (c) 11 (d) 9
  39. 39.If 5x + 5 = 4x + 17, what is x? (a) 22 (b) 13 (c) 12 (d) 14
  40. 40.If 3x + 8 = x + 18, what is x? (a) 6 (b) 13 (c) 7 (d) 5

Answer key

  1. 12
  2. 5
  3. 6
  4. 2
  5. 12
  6. 3
  7. 8
  8. 12
  9. 11
  10. 8
  11. 6
  12. 3
  13. 6
  14. 15
  15. 10
  16. 7
  17. 9
  18. 7
  19. 20
  20. 36
  21. 1
  22. 20
  23. 5
  24. 12
  25. 5
  26. 13
  27. 4
  28. 1
  29. 33
  30. 15
  31. 10
  32. 72
  33. 4
  34. 4
  35. 14
  36. 6
  37. 7
  38. 9
  39. 12
  40. 5

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