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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 234 · 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 7x + 14 = 3x + 46, what is x? (a) 9 (b) 8 (c) 15 (d) 10
  2. 2.If 2x + 16 = 38, what is x? (a) 11 (b) 27 (c) 22 (d) 12
  3. 3.If x/2 + 8 = 14, what is x? (a) 6 (b) 20 (c) 12 (d) 44
  4. 4.If x/4 + 14 = 16, what is x? (a) 120 (b) 50 (c) 8 (d) 2
  5. 5.If 5x + 6 = 41, what is x? (a) 8 (b) 35 (c) 6 (d) 7
  6. 6.If x/4 + 6 = 13, what is x? (a) 76 (b) 46 (c) 28 (d) 7
  7. 7.If 2x − 7 = 21, what is x? (a) 28 (b) 15 (c) 14 (d) 7
  8. 8.If 3x + 20 = 62, what is x? (a) 13 (b) 42 (c) 15 (d) 14
  9. 9.If 8x + 18 = 90, what is x? (a) 8 (b) 72 (c) 10 (d) 9
  10. 10.If 2x + 4 = 26, what is x? (a) 11 (b) 12 (c) 22 (d) 15
  11. 11.If 3x + 11 = 41, what is x? (a) 10 (b) 30 (c) 9 (d) 11
  12. 12.If x/6 + 5 = 17, what is x? (a) 12 (b) 132 (c) 97 (d) 72
  13. 13.If 4x + 2 = 50, what is x? (a) 12 (b) 13 (c) 48 (d) 11
  14. 14.If 5x + 4 = 4x + 8, what is x? (a) 6 (b) 4 (c) 5 (d) 12
  15. 15.If 3x + 13 = 40, what is x? (a) 27 (b) 10 (c) 9 (d) 8
  16. 16.If 5x − 15 = 30, what is x? (a) 45 (b) 10 (c) 9 (d) 3
  17. 17.If 7x − 17 = 11, what is x? (a) 4 (b) 28 (c) 3 (d) 5
  18. 18.If x/3 + 9 = 20, what is x? (a) 51 (b) 87 (c) 11 (d) 33
  19. 19.If 7x + 8 = 5x + 32, what is x? (a) 2 (b) 20 (c) 13 (d) 12
  20. 20.If 5x + 18 = 3x + 34, what is x? (a) 8 (b) 2 (c) 26 (d) 9
  21. 21.If 8x + 24 = 112, what is x? (a) 12 (b) 17 (c) 11 (d) 88
  22. 22.If x/4 + 5 = 14, what is x? (a) 36 (b) 9 (c) 51 (d) 76
  23. 23.If 8x + 18 = 42, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  24. 24.If 5x − 1 = 29, what is x? (a) 6 (b) 30 (c) 7 (d) 5
  25. 25.If 6x + 15 = 4x + 31, what is x? (a) 23 (b) 10 (c) 9 (d) 8
  26. 26.If x/6 + 4 = 11, what is x? (a) 7 (b) 90 (c) 42 (d) 62
  27. 27.If 8x + 5 = 3x + 65, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  28. 28.If 4x + 7 = 3x + 10, what is x? (a) 17 (b) 5 (c) 3 (d) 4
  29. 29.If x/2 + 2 = 10, what is x? (a) 16 (b) 24 (c) 8 (d) 18
  30. 30.If 8x − 25 = 31, what is x? (a) 6 (b) 56 (c) 8 (d) 7
  31. 31.If 5x + 2 = 72, what is x? (a) 13 (b) 70 (c) 15 (d) 14
  32. 32.If x/4 + 7 = 11, what is x? (a) 37 (b) 16 (c) 4 (d) 72
  33. 33.If x/5 + 10 = 14, what is x? (a) 4 (b) 120 (c) 60 (d) 20
  34. 34.If x/3 + 9 = 12, what is x? (a) 27 (b) 9 (c) 3 (d) 63
  35. 35.If x/6 + 6 = 13, what is x? (a) 114 (b) 7 (c) 72 (d) 42
  36. 36.If 5x + 10 = 4x + 20, what is x? (a) 10 (b) 11 (c) 12 (d) 30
  37. 37.If 9x + 4 = 31, what is x? (a) 2 (b) 3 (c) 27 (d) 4
  38. 38.If 6x + 6 = 78, what is x? (a) 72 (b) 13 (c) 12 (d) 14
  39. 39.If 4x + 17 = x + 35, what is x? (a) 8 (b) 6 (c) 5 (d) 7
  40. 40.If 7x + 6 = 2x + 66, what is x? (a) 14 (b) 11 (c) 12 (d) 13

Answer key

  1. 8
  2. 11
  3. 12
  4. 8
  5. 7
  6. 28
  7. 14
  8. 14
  9. 9
  10. 11
  11. 10
  12. 72
  13. 12
  14. 4
  15. 9
  16. 9
  17. 4
  18. 33
  19. 12
  20. 8
  21. 11
  22. 36
  23. 3
  24. 6
  25. 8
  26. 42
  27. 12
  28. 3
  29. 16
  30. 7
  31. 14
  32. 16
  33. 20
  34. 9
  35. 42
  36. 10
  37. 3
  38. 12
  39. 6
  40. 12

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