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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 65 · 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 2x − 6 = 18, what is x? (a) 12 (b) 24 (c) 13 (d) 6
  2. 2.If x/6 + 15 = 23, what is x? (a) 123 (b) 8 (c) 48 (d) 228
  3. 3.If 9x + 13 = x + 93, what is x? (a) 11 (b) 8 (c) 10 (d) 12
  4. 4.If 6x − 12 = 18, what is x? (a) 1 (b) 5 (c) 30 (d) 6
  5. 5.If 7x + 4 = 5x + 20, what is x? (a) 8 (b) 10 (c) 12 (d) 9
  6. 6.If x/6 + 11 = 16, what is x? (a) 5 (b) 30 (c) 162 (d) 85
  7. 7.If 5x + 2 = 4x + 9, what is x? (a) 7 (b) 9 (c) 8 (d) 11
  8. 8.If 4x + 7 = x + 10, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  9. 9.If 4x − 9 = 23, what is x? (a) 32 (b) 7 (c) 9 (d) 8
  10. 10.If x/3 + 4 = 9, what is x? (a) 5 (b) 15 (c) 23 (d) 39
  11. 11.If 8x − 1 = 15, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  12. 12.If x/5 + 2 = 8, what is x? (a) 50 (b) 38 (c) 6 (d) 30
  13. 13.If 3x + 14 = 38, what is x? (a) 9 (b) 24 (c) 7 (d) 8
  14. 14.If 7x + 16 = 5x + 18, what is x? (a) 1 (b) 3 (c) 2 (d) 17
  15. 15.If 4x − 6 = 6, what is x? (a) 2 (b) 4 (c) 3 (d) 12
  16. 16.If 6x + 12 = 30, what is x? (a) 18 (b) 3 (c) 7 (d) 4
  17. 17.If 3x − 3 = 12, what is x? (a) 3 (b) 5 (c) 15 (d) 6
  18. 18.If 4x + 6 = 3x + 10, what is x? (a) 6 (b) 4 (c) 16 (d) 5
  19. 19.If 2x + 16 = 34, what is x? (a) 25 (b) 18 (c) 10 (d) 9
  20. 20.If 6x − 23 = 31, what is x? (a) 54 (b) 10 (c) 8 (d) 9
  21. 21.If 7x − 65 = 12, what is x? (a) 10 (b) 12 (c) 11 (d) 77
  22. 22.If 8x + 1 = 2x + 25, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  23. 23.If 9x + 21 = 138, what is x? (a) 117 (b) 14 (c) 12 (d) 13
  24. 24.If 3x + 7 = 19, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  25. 25.If 8x + 19 = 75, what is x? (a) 56 (b) 6 (c) 8 (d) 7
  26. 26.If 8x + 1 = 7x + 3, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  27. 27.If x/6 + 13 = 15, what is x? (a) 12 (b) 2 (c) 168 (d) 77
  28. 28.If 3x + 13 = 49, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  29. 29.If x/3 + 7 = 19, what is x? (a) 78 (b) 12 (c) 36 (d) 50
  30. 30.If 7x + 4 = x + 70, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  31. 31.If 3x + 20 = 35, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  32. 32.If 2x − 1 = 5, what is x? (a) 2 (b) 3 (c) 6 (d) 4
  33. 33.If 5x + 23 = 33, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  34. 34.If 8x + 9 = 6x + 15, what is x? (a) 4 (b) 5 (c) 12 (d) 3
  35. 35.If x/5 + 11 = 14, what is x? (a) 3 (b) 125 (c) 59 (d) 15
  36. 36.If 6x + 13 = 3x + 28, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  37. 37.If 6x + 30 = 60, what is x? (a) 30 (b) 6 (c) 5 (d) 15
  38. 38.If x/2 + 4 = 7, what is x? (a) 22 (b) 6 (c) 10 (d) 3
  39. 39.If 6x − 24 = 12, what is x? (a) 5 (b) 6 (c) 7 (d) 36
  40. 40.If x/3 + 4 = 16, what is x? (a) 12 (b) 60 (c) 44 (d) 36

Answer key

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

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