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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 777 · 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 + 15 = x + 37, what is x? (a) 26 (b) 13 (c) 12 (d) 11
  2. 2.If 4x − 34 = 14, what is x? (a) 11 (b) 48 (c) 13 (d) 12
  3. 3.If 3x + 6 = 48, what is x? (a) 18 (b) 14 (c) 15 (d) 42
  4. 4.If 5x − 19 = 31, what is x? (a) 9 (b) 50 (c) 10 (d) 11
  5. 5.If 7x + 12 = x + 54, what is x? (a) 11 (b) 8 (c) 9 (d) 7
  6. 6.If 8x + 7 = 5x + 34, what is x? (a) 8 (b) 10 (c) 11 (d) 9
  7. 7.If 7x − 82 = 2, what is x? (a) 13 (b) 84 (c) 12 (d) 11
  8. 8.If 5x + 18 = 2x + 30, what is x? (a) 4 (b) 16 (c) 6 (d) 5
  9. 9.If 3x + 17 = 2x + 26, what is x? (a) 9 (b) 43 (c) 10 (d) 11
  10. 10.If 5x − 4 = 16, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  11. 11.If 5x − 35 = 40, what is x? (a) 15 (b) 1 (c) 16 (d) 75
  12. 12.If 3x + 20 = 56, what is x? (a) 36 (b) 11 (c) 12 (d) 13
  13. 13.If 6x − 3 = 9, what is x? (a) 3 (b) 12 (c) 2 (d) 1
  14. 14.If 3x − 43 = 2, what is x? (a) 14 (b) 15 (c) 45 (d) 16
  15. 15.If 6x + 16 = x + 51, what is x? (a) 8 (b) 5 (c) 9 (d) 7
  16. 16.If 8x + 6 = 6x + 24, what is x? (a) 10 (b) 11 (c) 9 (d) 15
  17. 17.If 9x − 7 = 38, what is x? (a) 6 (b) 45 (c) 5 (d) 4
  18. 18.If x/5 + 11 = 18, what is x? (a) 7 (b) 35 (c) 145 (d) 79
  19. 19.If 3x + 29 = 35, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  20. 20.If x/3 + 13 = 21, what is x? (a) 102 (b) 8 (c) 50 (d) 24
  21. 21.If 2x − 11 = 19, what is x? (a) 30 (b) 16 (c) 4 (d) 15
  22. 22.If 9x + 5 = 3x + 71, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  23. 23.If 3x + 16 = 2x + 18, what is x? (a) 2 (b) 4 (c) 3 (d) 34
  24. 24.If x/6 + 5 = 15, what is x? (a) 10 (b) 60 (c) 120 (d) 85
  25. 25.If 4x − 11 = 1, what is x? (a) 12 (b) 2 (c) 3 (d) 4
  26. 26.If 2x − 5 = 5, what is x? (a) 10 (b) 6 (c) 5 (d) 4
  27. 27.If 3x − 8 = 16, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  28. 28.If 8x + 7 = 39, what is x? (a) 3 (b) 32 (c) 5 (d) 4
  29. 29.If 4x − 20 = 36, what is x? (a) 14 (b) 4 (c) 56 (d) 15
  30. 30.If x/4 + 3 = 9, what is x? (a) 48 (b) 6 (c) 33 (d) 24
  31. 31.If 3x + 9 = 27, what is x? (a) 6 (b) 12 (c) 18 (d) 7
  32. 32.If 4x + 16 = 60, what is x? (a) 12 (b) 11 (c) 44 (d) 19
  33. 33.If 8x − 21 = 3, what is x? (a) 24 (b) 2 (c) 4 (d) 3
  34. 34.If 9x + 19 = 2x + 26, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  35. 35.If x/3 + 3 = 5, what is x? (a) 2 (b) 24 (c) 12 (d) 6
  36. 36.If x/4 + 12 = 15, what is x? (a) 108 (b) 48 (c) 12 (d) 3
  37. 37.If 8x + 10 = 5x + 37, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  38. 38.If 8x + 19 = 35, what is x? (a) 16 (b) 2 (c) 3 (d) 1
  39. 39.If 3x + 22 = 46, what is x? (a) 24 (b) 9 (c) 8 (d) 7
  40. 40.If 2x + 22 = 34, what is x? (a) 12 (b) 6 (c) 7 (d) 28

Answer key

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

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