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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 260 · 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 + 28 = 136, what is x? (a) 13 (b) 108 (c) 12 (d) 11
  2. 2.If 3x − 13 = 2, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  3. 3.If 8x + 17 = 3x + 72, what is x? (a) 5 (b) 13 (c) 11 (d) 12
  4. 4.If 8x − 6 = 34, what is x? (a) 4 (b) 40 (c) 6 (d) 5
  5. 5.If 4x + 18 = 2x + 38, what is x? (a) 12 (b) 28 (c) 10 (d) 11
  6. 6.If 3x + 5 = 2x + 17, what is x? (a) 12 (b) 22 (c) 13 (d) 14
  7. 7.If 9x + 18 = x + 42, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  8. 8.If 7x − 27 = 36, what is x? (a) 63 (b) 8 (c) 9 (d) 10
  9. 9.If x/4 + 1 = 11, what is x? (a) 43 (b) 48 (c) 40 (d) 10
  10. 10.If 9x + 16 = 8x + 23, what is x? (a) 8 (b) 9 (c) 39 (d) 7
  11. 11.If x/3 + 8 = 16, what is x? (a) 24 (b) 8 (c) 40 (d) 72
  12. 12.If 5x + 12 = 77, what is x? (a) 14 (b) 12 (c) 13 (d) 65
  13. 13.If x/3 + 10 = 19, what is x? (a) 27 (b) 47 (c) 87 (d) 9
  14. 14.If x/2 + 12 = 24, what is x? (a) 72 (b) 12 (c) 24 (d) 36
  15. 15.If 8x + 10 = 7x + 17, what is x? (a) 27 (b) 8 (c) 7 (d) 9
  16. 16.If 8x − 49 = 15, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  17. 17.If 7x + 9 = 2x + 29, what is x? (a) 5 (b) 6 (c) 4 (d) 3
  18. 18.If 4x + 29 = 81, what is x? (a) 13 (b) 14 (c) 12 (d) 52
  19. 19.If x/2 + 10 = 14, what is x? (a) 18 (b) 48 (c) 8 (d) 4
  20. 20.If 4x + 15 = 2x + 21, what is x? (a) 3 (b) 18 (c) 4 (d) 1
  21. 21.If 6x + 5 = 5x + 6, what is x? (a) 2 (b) 11 (c) 1 (d) 3
  22. 22.If x/3 + 14 = 22, what is x? (a) 52 (b) 24 (c) 108 (d) 8
  23. 23.If 5x + 1 = 2x + 7, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  24. 24.If 6x + 12 = 2x + 24, what is x? (a) 3 (b) 5 (c) 4 (d) 9
  25. 25.If 9x + 24 = 159, what is x? (a) 16 (b) 135 (c) 15 (d) 14
  26. 26.If x/4 + 13 = 20, what is x? (a) 28 (b) 7 (c) 132 (d) 67
  27. 27.If 2x + 21 = 33, what is x? (a) 6 (b) 27 (c) 7 (d) 12
  28. 28.If 5x + 10 = x + 50, what is x? (a) 11 (b) 15 (c) 12 (d) 10
  29. 29.If 6x + 16 = 58, what is x? (a) 42 (b) 7 (c) 6 (d) 8
  30. 30.If 3x − 15 = 24, what is x? (a) 13 (b) 3 (c) 39 (d) 14
  31. 31.If x/5 + 11 = 22, what is x? (a) 55 (b) 11 (c) 165 (d) 99
  32. 32.If 5x − 19 = 11, what is x? (a) 6 (b) 30 (c) 5 (d) 7
  33. 33.If 7x + 1 = x + 49, what is x? (a) 6 (b) 9 (c) 10 (d) 8
  34. 34.If 8x − 4 = 60, what is x? (a) 7 (b) 8 (c) 9 (d) 64
  35. 35.If 8x + 18 = 114, what is x? (a) 96 (b) 11 (c) 13 (d) 12
  36. 36.If x/3 + 11 = 22, what is x? (a) 99 (b) 11 (c) 33 (d) 55
  37. 37.If 5x + 24 = 59, what is x? (a) 8 (b) 35 (c) 7 (d) 6
  38. 38.If x/5 + 2 = 7, what is x? (a) 45 (b) 33 (c) 5 (d) 25
  39. 39.If 2x + 1 = 17, what is x? (a) 16 (b) 7 (c) 9 (d) 8
  40. 40.If 6x − 22 = 38, what is x? (a) 11 (b) 9 (c) 60 (d) 10

Answer key

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

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