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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 206 · 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 + 2 = 26, what is x? (a) 9 (b) 8 (c) 7 (d) 24
  2. 2.If x/3 + 15 = 17, what is x? (a) 6 (b) 96 (c) 36 (d) 2
  3. 3.If 8x + 3 = 3x + 8, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  4. 4.If 7x + 14 = 2x + 29, what is x? (a) 2 (b) 3 (c) 4 (d) 5
  5. 5.If x/6 + 1 = 4, what is x? (a) 3 (b) 30 (c) 23 (d) 18
  6. 6.If 9x − 2 = 16, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  7. 7.If 5x + 22 = 32, what is x? (a) 2 (b) 3 (c) 10 (d) 1
  8. 8.If 4x + 16 = 68, what is x? (a) 14 (b) 13 (c) 52 (d) 21
  9. 9.If 8x − 103 = 1, what is x? (a) 13 (b) 104 (c) 14 (d) 12
  10. 10.If 4x − 7 = 33, what is x? (a) 11 (b) 10 (c) 40 (d) 9
  11. 11.If x/2 + 2 = 4, what is x? (a) 4 (b) 2 (c) 12 (d) 6
  12. 12.If 4x + 24 = 68, what is x? (a) 44 (b) 11 (c) 12 (d) 23
  13. 13.If 8x − 30 = 18, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  14. 14.If 5x + 5 = 65, what is x? (a) 12 (b) 13 (c) 60 (d) 14
  15. 15.If 9x + 9 = 81, what is x? (a) 8 (b) 9 (c) 10 (d) 72
  16. 16.If x/5 + 5 = 7, what is x? (a) 10 (b) 60 (c) 30 (d) 2
  17. 17.If 6x + 12 = 3x + 36, what is x? (a) 10 (b) 9 (c) 8 (d) 16
  18. 18.If 5x + 11 = 36, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  19. 19.If 9x + 3 = 48, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  20. 20.If 2x + 27 = 35, what is x? (a) 5 (b) 31 (c) 8 (d) 4
  21. 21.If 2x − 1 = 3, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  22. 22.If 8x + 4 = 36, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  23. 23.If x/4 + 5 = 7, what is x? (a) 2 (b) 48 (c) 23 (d) 8
  24. 24.If x/3 + 12 = 24, what is x? (a) 12 (b) 36 (c) 108 (d) 60
  25. 25.If 6x − 4 = 8, what is x? (a) 12 (b) 1 (c) 3 (d) 2
  26. 26.If 8x − 45 = 67, what is x? (a) 13 (b) 14 (c) 15 (d) 112
  27. 27.If 2x + 18 = 40, what is x? (a) 12 (b) 29 (c) 11 (d) 22
  28. 28.If 4x + 5 = 2x + 21, what is x? (a) 13 (b) 10 (c) 8 (d) 9
  29. 29.If 9x + 15 = 6x + 24, what is x? (a) 4 (b) 13 (c) 5 (d) 3
  30. 30.If 3x + 6 = x + 22, what is x? (a) 8 (b) 4 (c) 9 (d) 14
  31. 31.If 8x + 15 = 95, what is x? (a) 11 (b) 10 (c) 80 (d) 9
  32. 32.If 3x − 2 = 7, what is x? (a) 2 (b) 4 (c) 3 (d) 9
  33. 33.If 7x − 23 = 75, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  34. 34.If 6x + 5 = 5x + 9, what is x? (a) 4 (b) 5 (c) 6 (d) 14
  35. 35.If 2x + 20 = 42, what is x? (a) 31 (b) 22 (c) 12 (d) 11
  36. 36.If 3x + 12 = 36, what is x? (a) 24 (b) 8 (c) 16 (d) 9
  37. 37.If 9x + 15 = x + 31, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  38. 38.If 9x − 12 = 33, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  39. 39.If 8x + 12 = 3x + 22, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  40. 40.If 5x + 4 = 59, what is x? (a) 55 (b) 10 (c) 11 (d) 12

Answer key

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

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