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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 684 · 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 6x + 6 = 90, what is x? (a) 16 (b) 15 (c) 14 (d) 84
  2. 2.If 4x + 10 = x + 43, what is x? (a) 10 (b) 11 (c) 13 (d) 12
  3. 3.If 3x + 12 = x + 22, what is x? (a) 17 (b) 6 (c) 5 (d) 7
  4. 4.If 8x − 1 = 63, what is x? (a) 9 (b) 64 (c) 8 (d) 7
  5. 5.If 2x + 13 = 23, what is x? (a) 6 (b) 18 (c) 10 (d) 5
  6. 6.If x/2 + 4 = 6, what is x? (a) 20 (b) 8 (c) 4 (d) 2
  7. 7.If x/4 + 12 = 15, what is x? (a) 108 (b) 12 (c) 3 (d) 48
  8. 8.If 3x + 4 = 2x + 7, what is x? (a) 11 (b) 4 (c) 3 (d) 5
  9. 9.If 4x + 30 = 62, what is x? (a) 23 (b) 32 (c) 9 (d) 8
  10. 10.If 9x + 24 = 159, what is x? (a) 14 (b) 135 (c) 15 (d) 16
  11. 11.If 4x + 18 = 3x + 20, what is x? (a) 2 (b) 38 (c) 3 (d) 4
  12. 12.If x/2 + 8 = 12, what is x? (a) 40 (b) 16 (c) 8 (d) 4
  13. 13.If 4x + 14 = 30, what is x? (a) 5 (b) 4 (c) 16 (d) 11
  14. 14.If 9x + 4 = 5x + 16, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  15. 15.If 5x − 35 = 25, what is x? (a) 13 (b) 12 (c) 11 (d) 60
  16. 16.If x/6 + 2 = 11, what is x? (a) 9 (b) 78 (c) 64 (d) 54
  17. 17.If 8x − 64 = 16, what is x? (a) 11 (b) 10 (c) 80 (d) 9
  18. 18.If x/6 + 10 = 20, what is x? (a) 180 (b) 60 (c) 10 (d) 110
  19. 19.If x/3 + 11 = 22, what is x? (a) 99 (b) 11 (c) 55 (d) 33
  20. 20.If 2x + 13 = 37, what is x? (a) 13 (b) 25 (c) 24 (d) 12
  21. 21.If 9x + 22 = 58, what is x? (a) 3 (b) 36 (c) 4 (d) 5
  22. 22.If x/3 + 7 = 9, what is x? (a) 20 (b) 6 (c) 2 (d) 48
  23. 23.If 3x + 20 = 56, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  24. 24.If 2x − 25 = 3, what is x? (a) 15 (b) 13 (c) 14 (d) 28
  25. 25.If 9x + 29 = 110, what is x? (a) 81 (b) 10 (c) 8 (d) 9
  26. 26.If 4x + 4 = 2x + 12, what is x? (a) 6 (b) 4 (c) 8 (d) 5
  27. 27.If 7x + 15 = 3x + 51, what is x? (a) 11 (b) 10 (c) 8 (d) 9
  28. 28.If 8x + 18 = 2x + 72, what is x? (a) 10 (b) 9 (c) 11 (d) 15
  29. 29.If x/5 + 13 = 25, what is x? (a) 190 (b) 12 (c) 112 (d) 60
  30. 30.If 7x + 19 = 4x + 52, what is x? (a) 12 (b) 3 (c) 13 (d) 11
  31. 31.If 5x + 10 = 25, what is x? (a) 7 (b) 4 (c) 3 (d) 15
  32. 32.If 4x + 18 = x + 51, what is x? (a) 11 (b) 23 (c) 12 (d) 13
  33. 33.If 4x + 6 = 50, what is x? (a) 12 (b) 44 (c) 11 (d) 14
  34. 34.If 6x − 2 = 64, what is x? (a) 12 (b) 11 (c) 66 (d) 10
  35. 35.If 9x − 12 = 15, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  36. 36.If 5x + 19 = x + 43, what is x? (a) 4 (b) 8 (c) 7 (d) 6
  37. 37.If 4x + 22 = 30, what is x? (a) 13 (b) 8 (c) 2 (d) 3
  38. 38.If 8x − 20 = 76, what is x? (a) 13 (b) 96 (c) 12 (d) 7
  39. 39.If x/4 + 9 = 14, what is x? (a) 20 (b) 47 (c) 92 (d) 5
  40. 40.If 2x − 9 = 7, what is x? (a) 16 (b) 8 (c) 9 (d) 7

Answer key

  1. 14
  2. 11
  3. 5
  4. 8
  5. 5
  6. 4
  7. 12
  8. 3
  9. 8
  10. 15
  11. 2
  12. 8
  13. 4
  14. 3
  15. 12
  16. 54
  17. 10
  18. 60
  19. 33
  20. 12
  21. 4
  22. 6
  23. 12
  24. 14
  25. 9
  26. 4
  27. 9
  28. 9
  29. 60
  30. 11
  31. 3
  32. 11
  33. 11
  34. 11
  35. 3
  36. 6
  37. 2
  38. 12
  39. 20
  40. 8

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