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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 807 · 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 5x + 18 = 2x + 51, what is x? (a) 23 (b) 12 (c) 11 (d) 13
  2. 2.If 3x + 10 = 16, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  3. 3.If 8x + 7 = 4x + 23, what is x? (a) 6 (b) 4 (c) 5 (d) 3
  4. 4.If 5x + 1 = 66, what is x? (a) 65 (b) 12 (c) 13 (d) 14
  5. 5.If 5x + 14 = 2x + 50, what is x? (a) 12 (b) 11 (c) 14 (d) 13
  6. 6.If 4x + 10 = 22, what is x? (a) 3 (b) 12 (c) 8 (d) 4
  7. 7.If 5x + 10 = 3x + 34, what is x? (a) 13 (b) 22 (c) 3 (d) 12
  8. 8.If 3x + 6 = 2x + 11, what is x? (a) 5 (b) 6 (c) 1 (d) 17
  9. 9.If 3x + 6 = 48, what is x? (a) 18 (b) 15 (c) 14 (d) 42
  10. 10.If 9x − 10 = 44, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  11. 11.If 4x + 11 = x + 23, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  12. 12.If 6x + 5 = x + 45, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  13. 13.If x/2 + 10 = 15, what is x? (a) 5 (b) 20 (c) 50 (d) 10
  14. 14.If 3x + 4 = 2x + 8, what is x? (a) 6 (b) 4 (c) 5 (d) 12
  15. 15.If x/5 + 12 = 23, what is x? (a) 11 (b) 103 (c) 55 (d) 175
  16. 16.If 2x − 2 = 6, what is x? (a) 2 (b) 4 (c) 5 (d) 8
  17. 17.If x/3 + 9 = 13, what is x? (a) 30 (b) 12 (c) 4 (d) 66
  18. 18.If 5x + 14 = 2x + 44, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  19. 19.If x/3 + 15 = 19, what is x? (a) 42 (b) 4 (c) 102 (d) 12
  20. 20.If 3x + 27 = 33, what is x? (a) 6 (b) 2 (c) 20 (d) 3
  21. 21.If 9x − 24 = 12, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  22. 22.If 4x + 12 = x + 27, what is x? (a) 13 (b) 5 (c) 6 (d) 3
  23. 23.If 9x − 16 = 38, what is x? (a) 7 (b) 54 (c) 5 (d) 6
  24. 24.If 3x − 12 = 12, what is x? (a) 9 (b) 7 (c) 24 (d) 8
  25. 25.If 4x + 8 = 2x + 14, what is x? (a) 1 (b) 4 (c) 3 (d) 11
  26. 26.If 3x − 6 = 9, what is x? (a) 6 (b) 15 (c) 1 (d) 5
  27. 27.If 3x + 30 = 57, what is x? (a) 10 (b) 27 (c) 29 (d) 9
  28. 28.If 5x + 12 = 3x + 28, what is x? (a) 20 (b) 8 (c) 9 (d) 2
  29. 29.If 8x − 45 = 35, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  30. 30.If 6x + 17 = 2x + 65, what is x? (a) 6 (b) 14 (c) 13 (d) 12
  31. 31.If 7x − 9 = 47, what is x? (a) 7 (b) 8 (c) 56 (d) 9
  32. 32.If 8x − 1 = 95, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  33. 33.If 4x + 5 = 3x + 14, what is x? (a) 9 (b) 19 (c) 11 (d) 10
  34. 34.If x/3 + 11 = 16, what is x? (a) 37 (b) 15 (c) 5 (d) 81
  35. 35.If x/4 + 5 = 13, what is x? (a) 47 (b) 8 (c) 72 (d) 32
  36. 36.If x/2 + 12 = 15, what is x? (a) 18 (b) 3 (c) 6 (d) 54
  37. 37.If 6x + 27 = 45, what is x? (a) 18 (b) 3 (c) 12 (d) 4
  38. 38.If 9x + 5 = 2x + 61, what is x? (a) 10 (b) 9 (c) 8 (d) 7
  39. 39.If 8x + 26 = 82, what is x? (a) 56 (b) 8 (c) 6 (d) 7
  40. 40.If x/3 + 2 = 7, what is x? (a) 15 (b) 27 (c) 5 (d) 19

Answer key

  1. 11
  2. 2
  3. 4
  4. 13
  5. 12
  6. 3
  7. 12
  8. 5
  9. 14
  10. 6
  11. 4
  12. 8
  13. 10
  14. 4
  15. 55
  16. 4
  17. 12
  18. 10
  19. 12
  20. 2
  21. 4
  22. 5
  23. 6
  24. 8
  25. 3
  26. 5
  27. 9
  28. 8
  29. 10
  30. 12
  31. 8
  32. 12
  33. 9
  34. 15
  35. 32
  36. 6
  37. 3
  38. 8
  39. 7
  40. 15

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