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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 594 · 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 + 14 = 3x + 20, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  2. 2.If 9x + 8 = 5x + 44, what is x? (a) 11 (b) 9 (c) 13 (d) 10
  3. 3.If 7x − 2 = 12, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  4. 4.If x/2 + 2 = 11, what is x? (a) 9 (b) 20 (c) 26 (d) 18
  5. 5.If 4x − 36 = 8, what is x? (a) 12 (b) 11 (c) 10 (d) 44
  6. 6.If x/4 + 13 = 19, what is x? (a) 24 (b) 63 (c) 128 (d) 6
  7. 7.If 5x + 25 = 45, what is x? (a) 5 (b) 14 (c) 20 (d) 4
  8. 8.If 4x + 2 = 50, what is x? (a) 13 (b) 11 (c) 12 (d) 48
  9. 9.If 9x − 13 = 113, what is x? (a) 13 (b) 126 (c) 15 (d) 14
  10. 10.If 3x + 5 = x + 7, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  11. 11.If x/4 + 15 = 21, what is x? (a) 69 (b) 24 (c) 144 (d) 6
  12. 12.If 7x + 2 = 4x + 14, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  13. 13.If 9x + 11 = 8x + 23, what is x? (a) 13 (b) 12 (c) 14 (d) 34
  14. 14.If x/6 + 1 = 8, what is x? (a) 42 (b) 7 (c) 54 (d) 47
  15. 15.If 9x + 4 = 3x + 46, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  16. 16.If 4x + 7 = 19, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  17. 17.If 3x + 26 = 50, what is x? (a) 7 (b) 9 (c) 8 (d) 24
  18. 18.If 8x − 37 = 3, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  19. 19.If x/4 + 8 = 13, what is x? (a) 20 (b) 84 (c) 5 (d) 44
  20. 20.If x/5 + 9 = 21, what is x? (a) 150 (b) 96 (c) 12 (d) 60
  21. 21.If 6x − 2 = 22, what is x? (a) 3 (b) 5 (c) 4 (d) 24
  22. 22.If 8x + 9 = 3x + 59, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  23. 23.If 6x + 14 = 3x + 35, what is x? (a) 7 (b) 8 (c) 6 (d) 9
  24. 24.If 7x + 4 = 5x + 10, what is x? (a) 4 (b) 3 (c) 7 (d) 5
  25. 25.If x/4 + 8 = 11, what is x? (a) 12 (b) 36 (c) 3 (d) 76
  26. 26.If 4x + 25 = 37, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  27. 27.If 5x − 45 = 30, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  28. 28.If x/2 + 2 = 12, what is x? (a) 28 (b) 22 (c) 20 (d) 10
  29. 29.If 7x − 13 = 8, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  30. 30.If 2x − 3 = 3, what is x? (a) 3 (b) 4 (c) 6 (d) 2
  31. 31.If 2x − 18 = 6, what is x? (a) 13 (b) 12 (c) 24 (d) 11
  32. 32.If 6x + 2 = 26, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  33. 33.If 4x − 47 = 5, what is x? (a) 13 (b) 52 (c) 12 (d) 14
  34. 34.If 5x − 28 = 27, what is x? (a) 11 (b) 10 (c) 55 (d) 12
  35. 35.If x/2 + 4 = 14, what is x? (a) 24 (b) 10 (c) 20 (d) 36
  36. 36.If x/6 + 6 = 12, what is x? (a) 108 (b) 6 (c) 36 (d) 66
  37. 37.If x/5 + 8 = 20, what is x? (a) 12 (b) 60 (c) 140 (d) 92
  38. 38.If 5x + 20 = 90, what is x? (a) 70 (b) 15 (c) 22 (d) 14
  39. 39.If 4x − 15 = 9, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  40. 40.If x/2 + 13 = 15, what is x? (a) 56 (b) 4 (c) 2 (d) 17

Answer key

  1. 1
  2. 9
  3. 2
  4. 18
  5. 11
  6. 24
  7. 4
  8. 12
  9. 14
  10. 1
  11. 24
  12. 4
  13. 12
  14. 42
  15. 7
  16. 3
  17. 8
  18. 5
  19. 20
  20. 60
  21. 4
  22. 10
  23. 7
  24. 3
  25. 12
  26. 3
  27. 15
  28. 20
  29. 3
  30. 3
  31. 12
  32. 4
  33. 13
  34. 11
  35. 20
  36. 36
  37. 60
  38. 14
  39. 6
  40. 4

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