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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 145 · 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 5x + 4 = 3x + 10, what is x? (a) 5 (b) 4 (c) 3 (d) 7
  2. 2.If 5x + 12 = 47, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  3. 3.If 9x − 111 = 15, what is x? (a) 13 (b) 15 (c) 14 (d) 126
  4. 4.If 6x + 9 = x + 59, what is x? (a) 10 (b) 12 (c) 9 (d) 11
  5. 5.If 7x + 13 = 104, what is x? (a) 91 (b) 14 (c) 13 (d) 12
  6. 6.If 8x + 12 = 52, what is x? (a) 8 (b) 6 (c) 40 (d) 5
  7. 7.If x/4 + 13 = 17, what is x? (a) 4 (b) 55 (c) 120 (d) 16
  8. 8.If 4x − 4 = 48, what is x? (a) 11 (b) 14 (c) 52 (d) 13
  9. 9.If 5x + 2 = 57, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  10. 10.If 9x + 13 = 121, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  11. 11.If 9x + 14 = 41, what is x? (a) 3 (b) 27 (c) 2 (d) 4
  12. 12.If 7x + 3 = 4x + 30, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  13. 13.If 5x − 6 = 29, what is x? (a) 6 (b) 7 (c) 35 (d) 8
  14. 14.If 8x + 13 = 2x + 73, what is x? (a) 6 (b) 11 (c) 10 (d) 12
  15. 15.If x/3 + 13 = 25, what is x? (a) 36 (b) 114 (c) 12 (d) 62
  16. 16.If 4x + 5 = x + 23, what is x? (a) 6 (b) 8 (c) 7 (d) 5
  17. 17.If 8x + 5 = 53, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  18. 18.If 9x + 1 = 2x + 29, what is x? (a) 3 (b) 4 (c) 5 (d) 6
  19. 19.If x/3 + 4 = 11, what is x? (a) 29 (b) 45 (c) 7 (d) 21
  20. 20.If 5x + 10 = 2x + 31, what is x? (a) 3 (b) 8 (c) 9 (d) 7
  21. 21.If 4x + 10 = 2x + 20, what is x? (a) 5 (b) 6 (c) 7 (d) 15
  22. 22.If 9x + 11 = 7x + 21, what is x? (a) 6 (b) 16 (c) 7 (d) 5
  23. 23.If 4x − 9 = 7, what is x? (a) 4 (b) 3 (c) 5 (d) 16
  24. 24.If 3x + 29 = 35, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  25. 25.If 8x + 3 = 99, what is x? (a) 12 (b) 11 (c) 96 (d) 13
  26. 26.If 4x + 3 = 3x + 8, what is x? (a) 5 (b) 6 (c) 7 (d) 11
  27. 27.If 4x + 12 = 2x + 28, what is x? (a) 10 (b) 20 (c) 8 (d) 9
  28. 28.If 8x + 22 = 102, what is x? (a) 10 (b) 80 (c) 9 (d) 11
  29. 29.If 3x − 5 = 1, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  30. 30.If 6x + 9 = x + 34, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  31. 31.If 9x + 1 = 7x + 9, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  32. 32.If 3x + 30 = 60, what is x? (a) 11 (b) 10 (c) 9 (d) 30
  33. 33.If 9x + 9 = 7x + 29, what is x? (a) 11 (b) 12 (c) 10 (d) 19
  34. 34.If 4x + 3 = x + 12, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  35. 35.If 4x + 7 = 23, what is x? (a) 16 (b) 4 (c) 3 (d) 5
  36. 36.If x/3 + 10 = 12, what is x? (a) 66 (b) 26 (c) 6 (d) 2
  37. 37.If x/3 + 3 = 10, what is x? (a) 27 (b) 7 (c) 21 (d) 39
  38. 38.If 3x − 15 = 15, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  39. 39.If x/6 + 9 = 21, what is x? (a) 12 (b) 72 (c) 180 (d) 117
  40. 40.If 3x + 10 = x + 34, what is x? (a) 22 (b) 6 (c) 12 (d) 13

Answer key

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

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