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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 362 · 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 + 1 = 51, what is x? (a) 11 (b) 10 (c) 9 (d) 50
  2. 2.If x/6 + 6 = 17, what is x? (a) 11 (b) 96 (c) 138 (d) 66
  3. 3.If 3x − 34 = 5, what is x? (a) 13 (b) 39 (c) 14 (d) 12
  4. 4.If x/6 + 4 = 11, what is x? (a) 62 (b) 90 (c) 42 (d) 7
  5. 5.If 6x + 26 = 38, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  6. 6.If 5x + 30 = 50, what is x? (a) 5 (b) 20 (c) 4 (d) 16
  7. 7.If x/6 + 2 = 8, what is x? (a) 36 (b) 60 (c) 46 (d) 6
  8. 8.If 2x + 3 = 23, what is x? (a) 11 (b) 13 (c) 20 (d) 10
  9. 9.If 2x − 4 = 22, what is x? (a) 13 (b) 14 (c) 26 (d) 9
  10. 10.If x/5 + 7 = 17, what is x? (a) 120 (b) 78 (c) 10 (d) 50
  11. 11.If 9x + 18 = x + 58, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  12. 12.If 7x + 6 = 3x + 14, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  13. 13.If 2x − 10 = 8, what is x? (a) 9 (b) 8 (c) 10 (d) 18
  14. 14.If x/2 + 6 = 10, what is x? (a) 14 (b) 4 (c) 8 (d) 32
  15. 15.If 6x + 28 = 64, what is x? (a) 7 (b) 5 (c) 6 (d) 36
  16. 16.If 8x + 17 = 5x + 53, what is x? (a) 13 (b) 12 (c) 11 (d) 14
  17. 17.If 2x − 11 = 1, what is x? (a) 7 (b) 12 (c) 5 (d) 6
  18. 18.If 4x − 7 = 21, what is x? (a) 8 (b) 7 (c) 6 (d) 28
  19. 19.If 3x − 13 = 17, what is x? (a) 11 (b) 9 (c) 10 (d) 30
  20. 20.If x/2 + 8 = 17, what is x? (a) 9 (b) 50 (c) 18 (d) 26
  21. 21.If x/2 + 3 = 6, what is x? (a) 18 (b) 6 (c) 9 (d) 3
  22. 22.If 9x − 7 = 38, what is x? (a) 5 (b) 45 (c) 4 (d) 6
  23. 23.If 9x − 35 = 37, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  24. 24.If 2x + 12 = 40, what is x? (a) 14 (b) 15 (c) 28 (d) 26
  25. 25.If x/2 + 2 = 12, what is x? (a) 10 (b) 22 (c) 20 (d) 28
  26. 26.If 7x + 9 = 6x + 13, what is x? (a) 6 (b) 22 (c) 5 (d) 4
  27. 27.If 3x + 11 = x + 33, what is x? (a) 11 (b) 22 (c) 13 (d) 12
  28. 28.If x/2 + 15 = 22, what is x? (a) 29 (b) 74 (c) 14 (d) 7
  29. 29.If 8x + 3 = 4x + 35, what is x? (a) 9 (b) 10 (c) 8 (d) 7
  30. 30.If 4x + 11 = 3x + 20, what is x? (a) 11 (b) 10 (c) 9 (d) 31
  31. 31.If 9x + 1 = 8x + 4, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  32. 32.If x/3 + 9 = 20, what is x? (a) 87 (b) 51 (c) 33 (d) 11
  33. 33.If 6x + 24 = 48, what is x? (a) 5 (b) 4 (c) 24 (d) 12
  34. 34.If 8x + 10 = 3x + 50, what is x? (a) 12 (b) 9 (c) 10 (d) 8
  35. 35.If x/3 + 3 = 7, what is x? (a) 4 (b) 30 (c) 18 (d) 12
  36. 36.If 6x + 2 = 86, what is x? (a) 84 (b) 13 (c) 14 (d) 15
  37. 37.If 2x + 6 = 22, what is x? (a) 8 (b) 9 (c) 16 (d) 14
  38. 38.If 5x − 40 = 25, what is x? (a) 14 (b) 13 (c) 65 (d) 12
  39. 39.If x/3 + 7 = 15, what is x? (a) 66 (b) 8 (c) 38 (d) 24
  40. 40.If x/2 + 3 = 15, what is x? (a) 12 (b) 36 (c) 27 (d) 24

Answer key

  1. 10
  2. 66
  3. 13
  4. 42
  5. 2
  6. 4
  7. 36
  8. 10
  9. 13
  10. 50
  11. 5
  12. 2
  13. 9
  14. 8
  15. 6
  16. 12
  17. 6
  18. 7
  19. 10
  20. 18
  21. 6
  22. 5
  23. 8
  24. 14
  25. 20
  26. 4
  27. 11
  28. 14
  29. 8
  30. 9
  31. 3
  32. 33
  33. 4
  34. 8
  35. 12
  36. 14
  37. 8
  38. 13
  39. 24
  40. 24

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