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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 631 · 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 − 7 = 48, what is x? (a) 11 (b) 55 (c) 10 (d) 12
  2. 2.If x/6 + 6 = 17, what is x? (a) 66 (b) 96 (c) 11 (d) 138
  3. 3.If 6x − 3 = 51, what is x? (a) 10 (b) 54 (c) 9 (d) 8
  4. 4.If 2x + 3 = 15, what is x? (a) 12 (b) 9 (c) 6 (d) 7
  5. 5.If 8x + 20 = 2x + 74, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  6. 6.If 6x + 8 = 3x + 29, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  7. 7.If x/3 + 13 = 21, what is x? (a) 24 (b) 102 (c) 50 (d) 8
  8. 8.If 8x − 22 = 42, what is x? (a) 64 (b) 8 (c) 9 (d) 7
  9. 9.If 6x + 10 = 4x + 14, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  10. 10.If 9x + 14 = 104, what is x? (a) 90 (b) 9 (c) 10 (d) 11
  11. 11.If x/4 + 3 = 15, what is x? (a) 48 (b) 57 (c) 12 (d) 72
  12. 12.If 8x − 7 = 9, what is x? (a) 3 (b) 1 (c) 16 (d) 2
  13. 13.If x/2 + 4 = 10, what is x? (a) 6 (b) 16 (c) 12 (d) 28
  14. 14.If 7x + 16 = 5x + 38, what is x? (a) 12 (b) 27 (c) 11 (d) 13
  15. 15.If 8x + 17 = 3x + 27, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  16. 16.If 2x + 2 = 14, what is x? (a) 12 (b) 8 (c) 7 (d) 6
  17. 17.If 4x + 8 = 2x + 24, what is x? (a) 9 (b) 10 (c) 8 (d) 16
  18. 18.If 3x + 29 = 44, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  19. 19.If 4x − 13 = 43, what is x? (a) 56 (b) 15 (c) 13 (d) 14
  20. 20.If 3x − 13 = 29, what is x? (a) 15 (b) 13 (c) 42 (d) 14
  21. 21.If 4x + 6 = 3x + 14, what is x? (a) 9 (b) 8 (c) 20 (d) 10
  22. 22.If x/3 + 7 = 14, what is x? (a) 63 (b) 7 (c) 21 (d) 35
  23. 23.If 9x + 11 = 2x + 67, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  24. 24.If 3x + 5 = 50, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  25. 25.If 3x + 26 = 47, what is x? (a) 8 (b) 6 (c) 21 (d) 7
  26. 26.If 9x + 20 = x + 44, what is x? (a) 8 (b) 4 (c) 3 (d) 5
  27. 27.If x/5 + 11 = 20, what is x? (a) 9 (b) 89 (c) 155 (d) 45
  28. 28.If 3x + 26 = 32, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  29. 29.If x/4 + 3 = 5, what is x? (a) 17 (b) 2 (c) 32 (d) 8
  30. 30.If 8x + 2 = 2x + 74, what is x? (a) 12 (b) 11 (c) 13 (d) 14
  31. 31.If x/4 + 11 = 17, what is x? (a) 57 (b) 6 (c) 24 (d) 112
  32. 32.If 4x + 27 = 63, what is x? (a) 10 (b) 8 (c) 9 (d) 36
  33. 33.If 7x + 2 = 2x + 27, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  34. 34.If 6x − 45 = 21, what is x? (a) 66 (b) 10 (c) 12 (d) 11
  35. 35.If 9x − 14 = 121, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  36. 36.If x/3 + 7 = 15, what is x? (a) 38 (b) 66 (c) 8 (d) 24
  37. 37.If 3x + 14 = 59, what is x? (a) 14 (b) 45 (c) 15 (d) 16
  38. 38.If x/5 + 14 = 19, what is x? (a) 25 (b) 165 (c) 5 (d) 81
  39. 39.If 2x − 7 = 1, what is x? (a) 3 (b) 5 (c) 8 (d) 4
  40. 40.If x/4 + 8 = 15, what is x? (a) 7 (b) 52 (c) 92 (d) 28

Answer key

  1. 11
  2. 66
  3. 9
  4. 6
  5. 9
  6. 7
  7. 24
  8. 8
  9. 2
  10. 10
  11. 48
  12. 2
  13. 12
  14. 11
  15. 2
  16. 6
  17. 8
  18. 5
  19. 14
  20. 14
  21. 8
  22. 21
  23. 8
  24. 15
  25. 7
  26. 3
  27. 45
  28. 2
  29. 8
  30. 12
  31. 24
  32. 9
  33. 5
  34. 11
  35. 15
  36. 24
  37. 15
  38. 25
  39. 4
  40. 28

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