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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 478 · 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 3x + 17 = x + 33, what is x? (a) 25 (b) 9 (c) 8 (d) 4
  2. 2.If 8x + 29 = 117, what is x? (a) 12 (b) 10 (c) 88 (d) 11
  3. 3.If 3x − 25 = 2, what is x? (a) 8 (b) 27 (c) 9 (d) 10
  4. 4.If 8x + 22 = 110, what is x? (a) 12 (b) 11 (c) 88 (d) 10
  5. 5.If x/3 + 7 = 9, what is x? (a) 48 (b) 2 (c) 20 (d) 6
  6. 6.If 7x + 10 = 5x + 28, what is x? (a) 10 (b) 9 (c) 19 (d) 11
  7. 7.If 9x − 41 = 4, what is x? (a) 6 (b) 5 (c) 45 (d) 4
  8. 8.If x/5 + 3 = 13, what is x? (a) 10 (b) 62 (c) 50 (d) 80
  9. 9.If 5x + 10 = 2x + 46, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  10. 10.If x/2 + 4 = 10, what is x? (a) 28 (b) 6 (c) 16 (d) 12
  11. 11.If 3x + 27 = 33, what is x? (a) 3 (b) 20 (c) 6 (d) 2
  12. 12.If 9x + 21 = 147, what is x? (a) 13 (b) 126 (c) 15 (d) 14
  13. 13.If 6x + 15 = 3x + 24, what is x? (a) 13 (b) 3 (c) 1 (d) 4
  14. 14.If 3x + 4 = 28, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  15. 15.If 4x − 6 = 2, what is x? (a) 2 (b) 1 (c) 3 (d) 8
  16. 16.If 4x − 50 = 10, what is x? (a) 15 (b) 14 (c) 16 (d) 60
  17. 17.If 7x − 4 = 17, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  18. 18.If x/6 + 7 = 18, what is x? (a) 150 (b) 11 (c) 66 (d) 101
  19. 19.If 4x + 19 = x + 28, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  20. 20.If x/4 + 14 = 26, what is x? (a) 48 (b) 12 (c) 90 (d) 160
  21. 21.If 6x + 4 = 2x + 8, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  22. 22.If 3x + 20 = x + 44, what is x? (a) 32 (b) 6 (c) 12 (d) 13
  23. 23.If 7x − 45 = 46, what is x? (a) 91 (b) 13 (c) 14 (d) 12
  24. 24.If 8x + 2 = 66, what is x? (a) 7 (b) 9 (c) 64 (d) 8
  25. 25.If 2x − 19 = 5, what is x? (a) 11 (b) 24 (c) 13 (d) 12
  26. 26.If x/4 + 9 = 13, what is x? (a) 43 (b) 4 (c) 16 (d) 88
  27. 27.If 3x + 8 = x + 32, what is x? (a) 13 (b) 20 (c) 12 (d) 6
  28. 28.If x/2 + 4 = 11, what is x? (a) 14 (b) 30 (c) 7 (d) 18
  29. 29.If 9x + 16 = 70, what is x? (a) 6 (b) 7 (c) 5 (d) 54
  30. 30.If 2x + 3 = 17, what is x? (a) 14 (b) 7 (c) 8 (d) 10
  31. 31.If 8x + 9 = 89, what is x? (a) 9 (b) 10 (c) 11 (d) 80
  32. 32.If x/5 + 5 = 15, what is x? (a) 100 (b) 70 (c) 10 (d) 50
  33. 33.If x/6 + 5 = 7, what is x? (a) 12 (b) 2 (c) 37 (d) 72
  34. 34.If x/3 + 4 = 7, what is x? (a) 3 (b) 17 (c) 9 (d) 33
  35. 35.If 9x + 6 = 78, what is x? (a) 7 (b) 8 (c) 9 (d) 72
  36. 36.If 4x + 7 = x + 22, what is x? (a) 6 (b) 7 (c) 5 (d) 3
  37. 37.If x/5 + 1 = 9, what is x? (a) 8 (b) 44 (c) 50 (d) 40
  38. 38.If 8x + 12 = 5x + 45, what is x? (a) 13 (b) 12 (c) 19 (d) 11
  39. 39.If 6x + 7 = 2x + 39, what is x? (a) 10 (b) 8 (c) 9 (d) 4
  40. 40.If 6x + 25 = 37, what is x? (a) 1 (b) 3 (c) 2 (d) 12

Answer key

  1. 8
  2. 11
  3. 9
  4. 11
  5. 6
  6. 9
  7. 5
  8. 50
  9. 12
  10. 12
  11. 2
  12. 14
  13. 3
  14. 8
  15. 2
  16. 15
  17. 3
  18. 66
  19. 3
  20. 48
  21. 1
  22. 12
  23. 13
  24. 8
  25. 12
  26. 16
  27. 12
  28. 14
  29. 6
  30. 7
  31. 10
  32. 50
  33. 12
  34. 9
  35. 8
  36. 5
  37. 40
  38. 11
  39. 8
  40. 2

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