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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 510 · 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 + 8 = x + 26, what is x? (a) 17 (b) 10 (c) 11 (d) 9
  2. 2.If x/3 + 3 = 5, what is x? (a) 12 (b) 6 (c) 2 (d) 24
  3. 3.If 4x + 6 = 2x + 8, what is x? (a) 7 (b) 2 (c) 1 (d) 3
  4. 4.If 4x + 6 = 26, what is x? (a) 8 (b) 20 (c) 6 (d) 5
  5. 5.If 2x − 1 = 9, what is x? (a) 10 (b) 4 (c) 5 (d) 6
  6. 6.If 7x − 15 = 20, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  7. 7.If 7x + 18 = 3x + 46, what is x? (a) 16 (b) 7 (c) 9 (d) 8
  8. 8.If x/2 + 5 = 17, what is x? (a) 12 (b) 44 (c) 29 (d) 24
  9. 9.If x/2 + 3 = 7, what is x? (a) 4 (b) 20 (c) 8 (d) 11
  10. 10.If x/4 + 3 = 8, what is x? (a) 29 (b) 20 (c) 44 (d) 5
  11. 11.If 8x + 7 = 5x + 22, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  12. 12.If x/3 + 13 = 17, what is x? (a) 38 (b) 90 (c) 12 (d) 4
  13. 13.If 4x − 5 = 31, what is x? (a) 36 (b) 8 (c) 10 (d) 9
  14. 14.If 5x + 7 = 62, what is x? (a) 11 (b) 10 (c) 12 (d) 55
  15. 15.If 7x − 14 = 63, what is x? (a) 77 (b) 7 (c) 12 (d) 11
  16. 16.If 4x + 18 = 2x + 30, what is x? (a) 24 (b) 7 (c) 6 (d) 2
  17. 17.If 4x + 16 = 60, what is x? (a) 44 (b) 11 (c) 12 (d) 19
  18. 18.If 8x + 18 = 74, what is x? (a) 8 (b) 56 (c) 6 (d) 7
  19. 19.If x/6 + 4 = 8, what is x? (a) 4 (b) 24 (c) 44 (d) 72
  20. 20.If 8x + 6 = 2x + 12, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  21. 21.If 5x + 5 = 60, what is x? (a) 12 (b) 11 (c) 55 (d) 13
  22. 22.If 8x + 13 = 85, what is x? (a) 72 (b) 8 (c) 10 (d) 9
  23. 23.If x/2 + 1 = 13, what is x? (a) 24 (b) 12 (c) 28 (d) 25
  24. 24.If 9x + 17 = 98, what is x? (a) 10 (b) 81 (c) 8 (d) 9
  25. 25.If 6x + 18 = x + 68, what is x? (a) 11 (b) 9 (c) 10 (d) 12
  26. 26.If 5x + 11 = 2x + 47, what is x? (a) 13 (b) 11 (c) 12 (d) 14
  27. 27.If x/6 + 14 = 26, what is x? (a) 240 (b) 72 (c) 142 (d) 12
  28. 28.If 7x + 6 = 3x + 10, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  29. 29.If 8x + 28 = 68, what is x? (a) 12 (b) 6 (c) 5 (d) 40
  30. 30.If 8x + 2 = 26, what is x? (a) 3 (b) 2 (c) 4 (d) 24
  31. 31.If 5x + 15 = 4x + 26, what is x? (a) 12 (b) 11 (c) 13 (d) 41
  32. 32.If x/3 + 13 = 18, what is x? (a) 93 (b) 15 (c) 5 (d) 41
  33. 33.If 8x + 12 = 36, what is x? (a) 24 (b) 6 (c) 3 (d) 4
  34. 34.If 3x + 11 = x + 31, what is x? (a) 10 (b) 21 (c) 11 (d) 5
  35. 35.If 3x + 20 = x + 24, what is x? (a) 1 (b) 22 (c) 3 (d) 2
  36. 36.If 8x − 8 = 8, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  37. 37.If 8x + 2 = x + 65, what is x? (a) 10 (b) 11 (c) 7 (d) 9
  38. 38.If 3x + 27 = 54, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  39. 39.If 5x + 19 = 94, what is x? (a) 16 (b) 14 (c) 15 (d) 75
  40. 40.If 7x + 6 = x + 78, what is x? (a) 9 (b) 14 (c) 13 (d) 12

Answer key

  1. 9
  2. 6
  3. 1
  4. 5
  5. 5
  6. 5
  7. 7
  8. 24
  9. 8
  10. 20
  11. 5
  12. 12
  13. 9
  14. 11
  15. 11
  16. 6
  17. 11
  18. 7
  19. 24
  20. 1
  21. 11
  22. 9
  23. 24
  24. 9
  25. 10
  26. 12
  27. 72
  28. 1
  29. 5
  30. 3
  31. 11
  32. 15
  33. 3
  34. 10
  35. 2
  36. 2
  37. 9
  38. 9
  39. 15
  40. 12

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