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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 657 · 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 + 1 = 34, what is x? (a) 12 (b) 11 (c) 10 (d) 33
  2. 2.If 6x + 14 = 4x + 34, what is x? (a) 24 (b) 10 (c) 11 (d) 2
  3. 3.If 7x + 17 = 2x + 22, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  4. 4.If x/2 + 14 = 24, what is x? (a) 20 (b) 76 (c) 34 (d) 10
  5. 5.If 2x + 2 = 12, what is x? (a) 7 (b) 10 (c) 6 (d) 5
  6. 6.If 8x + 26 = 58, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  7. 7.If 4x + 1 = 3x + 5, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  8. 8.If 9x + 23 = 131, what is x? (a) 11 (b) 108 (c) 13 (d) 12
  9. 9.If 9x + 29 = 47, what is x? (a) 2 (b) 18 (c) 3 (d) 1
  10. 10.If 6x + 28 = 46, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  11. 11.If 7x + 24 = 108, what is x? (a) 11 (b) 84 (c) 13 (d) 12
  12. 12.If x/4 + 14 = 21, what is x? (a) 70 (b) 7 (c) 28 (d) 140
  13. 13.If 8x − 4 = 36, what is x? (a) 4 (b) 40 (c) 5 (d) 6
  14. 14.If 8x − 31 = 41, what is x? (a) 10 (b) 8 (c) 9 (d) 72
  15. 15.If 4x + 27 = 47, what is x? (a) 6 (b) 5 (c) 4 (d) 20
  16. 16.If 3x − 5 = 7, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  17. 17.If x/4 + 13 = 21, what is x? (a) 32 (b) 71 (c) 8 (d) 136
  18. 18.If 8x + 16 = 3x + 51, what is x? (a) 9 (b) 8 (c) 6 (d) 7
  19. 19.If x/5 + 4 = 10, what is x? (a) 30 (b) 6 (c) 70 (d) 46
  20. 20.If 3x + 12 = x + 32, what is x? (a) 10 (b) 22 (c) 11 (d) 5
  21. 21.If 5x + 15 = 3x + 25, what is x? (a) 7 (b) 6 (c) 20 (d) 5
  22. 22.If x/6 + 14 = 19, what is x? (a) 5 (b) 198 (c) 30 (d) 100
  23. 23.If 5x + 6 = 3x + 14, what is x? (a) 1 (b) 10 (c) 4 (d) 5
  24. 24.If x/6 + 1 = 12, what is x? (a) 78 (b) 11 (c) 71 (d) 66
  25. 25.If 5x + 25 = 95, what is x? (a) 24 (b) 15 (c) 14 (d) 70
  26. 26.If 4x + 12 = 36, what is x? (a) 6 (b) 7 (c) 12 (d) 24
  27. 27.If 8x + 18 = 114, what is x? (a) 11 (b) 12 (c) 96 (d) 13
  28. 28.If 7x + 26 = 68, what is x? (a) 7 (b) 6 (c) 42 (d) 5
  29. 29.If 7x + 24 = 73, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  30. 30.If 4x + 19 = x + 34, what is x? (a) 7 (b) 3 (c) 6 (d) 5
  31. 31.If x/3 + 11 = 20, what is x? (a) 93 (b) 9 (c) 49 (d) 27
  32. 32.If 7x − 45 = 4, what is x? (a) 8 (b) 6 (c) 49 (d) 7
  33. 33.If 9x − 24 = 102, what is x? (a) 13 (b) 15 (c) 126 (d) 14
  34. 34.If 8x + 14 = 46, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  35. 35.If 3x + 26 = 71, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  36. 36.If 9x + 10 = 73, what is x? (a) 6 (b) 7 (c) 63 (d) 8
  37. 37.If x/4 + 6 = 8, what is x? (a) 56 (b) 2 (c) 8 (d) 26
  38. 38.If x/2 + 4 = 8, what is x? (a) 8 (b) 12 (c) 4 (d) 24
  39. 39.If 5x + 11 = 3x + 29, what is x? (a) 20 (b) 9 (c) 10 (d) 11
  40. 40.If 3x − 10 = 5, what is x? (a) 6 (b) 5 (c) 4 (d) 15

Answer key

  1. 11
  2. 10
  3. 1
  4. 20
  5. 5
  6. 4
  7. 4
  8. 12
  9. 2
  10. 3
  11. 12
  12. 28
  13. 5
  14. 9
  15. 5
  16. 4
  17. 32
  18. 7
  19. 30
  20. 10
  21. 5
  22. 30
  23. 4
  24. 66
  25. 14
  26. 6
  27. 12
  28. 6
  29. 7
  30. 5
  31. 27
  32. 7
  33. 14
  34. 4
  35. 15
  36. 7
  37. 8
  38. 8
  39. 9
  40. 5

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