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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 190 · 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 4x + 26 = 58, what is x? (a) 9 (b) 32 (c) 21 (d) 8
  2. 2.If 9x − 15 = 39, what is x? (a) 54 (b) 7 (c) 5 (d) 6
  3. 3.If 7x + 15 = 6x + 24, what is x? (a) 9 (b) 10 (c) 11 (d) 39
  4. 4.If 3x − 7 = 32, what is x? (a) 39 (b) 13 (c) 14 (d) 12
  5. 5.If 6x − 18 = 72, what is x? (a) 9 (b) 90 (c) 15 (d) 16
  6. 6.If 8x + 9 = 121, what is x? (a) 13 (b) 15 (c) 14 (d) 112
  7. 7.If 3x − 11 = 16, what is x? (a) 27 (b) 8 (c) 10 (d) 9
  8. 8.If 2x − 15 = 5, what is x? (a) 10 (b) 11 (c) 20 (d) 9
  9. 9.If 4x + 12 = x + 45, what is x? (a) 12 (b) 11 (c) 19 (d) 13
  10. 10.If 9x + 17 = 5x + 45, what is x? (a) 8 (b) 7 (c) 2 (d) 9
  11. 11.If 4x + 2 = 3x + 3, what is x? (a) 2 (b) 3 (c) 5 (d) 1
  12. 12.If x/2 + 3 = 15, what is x? (a) 12 (b) 36 (c) 24 (d) 27
  13. 13.If 7x + 18 = 3x + 22, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  14. 14.If x/3 + 7 = 12, what is x? (a) 5 (b) 15 (c) 29 (d) 57
  15. 15.If 6x + 2 = 68, what is x? (a) 66 (b) 12 (c) 10 (d) 11
  16. 16.If 8x − 10 = 62, what is x? (a) 10 (b) 9 (c) 72 (d) 8
  17. 17.If 3x + 13 = 34, what is x? (a) 7 (b) 8 (c) 21 (d) 6
  18. 18.If 8x + 22 = 126, what is x? (a) 12 (b) 14 (c) 13 (d) 104
  19. 19.If 5x − 7 = 63, what is x? (a) 13 (b) 70 (c) 14 (d) 15
  20. 20.If 3x − 5 = 1, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  21. 21.If 8x + 12 = 124, what is x? (a) 15 (b) 17 (c) 112 (d) 14
  22. 22.If x/3 + 15 = 24, what is x? (a) 57 (b) 9 (c) 27 (d) 117
  23. 23.If 6x + 25 = 103, what is x? (a) 78 (b) 12 (c) 13 (d) 14
  24. 24.If 9x − 70 = 20, what is x? (a) 90 (b) 10 (c) 11 (d) 9
  25. 25.If 7x + 8 = x + 80, what is x? (a) 9 (b) 13 (c) 14 (d) 12
  26. 26.If x/4 + 4 = 14, what is x? (a) 72 (b) 52 (c) 10 (d) 40
  27. 27.If 3x − 1 = 41, what is x? (a) 13 (b) 15 (c) 42 (d) 14
  28. 28.If x/4 + 2 = 5, what is x? (a) 3 (b) 12 (c) 28 (d) 18
  29. 29.If 6x − 17 = 43, what is x? (a) 11 (b) 60 (c) 9 (d) 10
  30. 30.If 2x − 1 = 9, what is x? (a) 6 (b) 10 (c) 5 (d) 4
  31. 31.If x/5 + 2 = 5, what is x? (a) 15 (b) 35 (c) 23 (d) 3
  32. 32.If 4x + 6 = 30, what is x? (a) 6 (b) 24 (c) 9 (d) 7
  33. 33.If x/2 + 4 = 9, what is x? (a) 10 (b) 26 (c) 14 (d) 5
  34. 34.If 4x − 19 = 25, what is x? (a) 12 (b) 10 (c) 44 (d) 11
  35. 35.If 4x + 20 = 3x + 26, what is x? (a) 6 (b) 8 (c) 7 (d) 46
  36. 36.If 2x + 7 = 17, what is x? (a) 10 (b) 6 (c) 5 (d) 12
  37. 37.If x/2 + 14 = 16, what is x? (a) 2 (b) 18 (c) 60 (d) 4
  38. 38.If 4x − 6 = 10, what is x? (a) 16 (b) 4 (c) 1 (d) 5
  39. 39.If 6x + 2 = 5x + 3, what is x? (a) 1 (b) 5 (c) 3 (d) 2
  40. 40.If 2x + 21 = 45, what is x? (a) 13 (b) 24 (c) 12 (d) 33

Answer key

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

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