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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 248 · 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 x/3 + 7 = 17, what is x? (a) 44 (b) 30 (c) 10 (d) 72
  2. 2.If 8x − 51 = 21, what is x? (a) 72 (b) 8 (c) 10 (d) 9
  3. 3.If 8x − 12 = 12, what is x? (a) 2 (b) 4 (c) 3 (d) 24
  4. 4.If 5x + 6 = 2x + 12, what is x? (a) 6 (b) 2 (c) 4 (d) 3
  5. 5.If 7x + 5 = 2x + 45, what is x? (a) 8 (b) 9 (c) 7 (d) 10
  6. 6.If 3x + 7 = x + 29, what is x? (a) 18 (b) 13 (c) 12 (d) 11
  7. 7.If 6x − 22 = 26, what is x? (a) 8 (b) 7 (c) 48 (d) 9
  8. 8.If x/2 + 6 = 14, what is x? (a) 16 (b) 22 (c) 40 (d) 8
  9. 9.If 8x + 12 = 28, what is x? (a) 3 (b) 5 (c) 16 (d) 2
  10. 10.If x/6 + 2 = 5, what is x? (a) 3 (b) 42 (c) 28 (d) 18
  11. 11.If 2x + 15 = 31, what is x? (a) 16 (b) 9 (c) 23 (d) 8
  12. 12.If 7x + 10 = 4x + 16, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  13. 13.If 2x − 3 = 1, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  14. 14.If 6x + 1 = 5x + 8, what is x? (a) 8 (b) 9 (c) 7 (d) 6
  15. 15.If 2x − 12 = 6, what is x? (a) 18 (b) 8 (c) 9 (d) 10
  16. 16.If 6x + 3 = 33, what is x? (a) 4 (b) 30 (c) 5 (d) 6
  17. 17.If 6x + 6 = x + 31, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  18. 18.If 7x + 5 = 6x + 17, what is x? (a) 14 (b) 13 (c) 12 (d) 22
  19. 19.If 3x + 4 = x + 26, what is x? (a) 11 (b) 12 (c) 15 (d) 13
  20. 20.If x/3 + 13 = 18, what is x? (a) 93 (b) 5 (c) 41 (d) 15
  21. 21.If 3x + 19 = x + 37, what is x? (a) 28 (b) 11 (c) 9 (d) 10
  22. 22.If 9x + 14 = 2x + 63, what is x? (a) 9 (b) 7 (c) 8 (d) 11
  23. 23.If 3x − 6 = 33, what is x? (a) 13 (b) 14 (c) 9 (d) 39
  24. 24.If 6x + 6 = 84, what is x? (a) 13 (b) 78 (c) 15 (d) 14
  25. 25.If 3x + 13 = 31, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  26. 26.If x/3 + 1 = 9, what is x? (a) 8 (b) 24 (c) 26 (d) 30
  27. 27.If 8x + 14 = 134, what is x? (a) 14 (b) 15 (c) 120 (d) 16
  28. 28.If 4x − 41 = 7, what is x? (a) 48 (b) 11 (c) 12 (d) 13
  29. 29.If 2x − 14 = 16, what is x? (a) 16 (b) 30 (c) 15 (d) 1
  30. 30.If 6x + 16 = 3x + 31, what is x? (a) 6 (b) 7 (c) 4 (d) 5
  31. 31.If 6x − 46 = 2, what is x? (a) 48 (b) 9 (c) 8 (d) 7
  32. 32.If 7x − 54 = 30, what is x? (a) 12 (b) 13 (c) 84 (d) 11
  33. 33.If x/5 + 8 = 10, what is x? (a) 42 (b) 2 (c) 90 (d) 10
  34. 34.If 6x − 5 = 19, what is x? (a) 24 (b) 4 (c) 3 (d) 5
  35. 35.If 4x + 16 = 2x + 40, what is x? (a) 28 (b) 4 (c) 13 (d) 12
  36. 36.If 8x − 5 = 43, what is x? (a) 48 (b) 6 (c) 5 (d) 7
  37. 37.If 4x − 6 = 14, what is x? (a) 20 (b) 2 (c) 5 (d) 6
  38. 38.If x/3 + 2 = 12, what is x? (a) 30 (b) 42 (c) 10 (d) 34
  39. 39.If 5x + 1 = 3x + 15, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  40. 40.If 4x + 16 = x + 25, what is x? (a) 5 (b) 3 (c) 2 (d) 4

Answer key

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

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