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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 734 · 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 + 11 = 26, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  2. 2.If 6x + 1 = x + 6, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  3. 3.If x/3 + 5 = 9, what is x? (a) 4 (b) 42 (c) 22 (d) 12
  4. 4.If 9x + 17 = x + 41, what is x? (a) 4 (b) 3 (c) 2 (d) 5
  5. 5.If 8x + 16 = 128, what is x? (a) 18 (b) 15 (c) 14 (d) 112
  6. 6.If 3x + 25 = 70, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  7. 7.If x/3 + 12 = 16, what is x? (a) 84 (b) 36 (c) 12 (d) 4
  8. 8.If 3x + 11 = 50, what is x? (a) 39 (b) 14 (c) 12 (d) 13
  9. 9.If 9x + 1 = 6x + 13, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  10. 10.If 2x − 4 = 14, what is x? (a) 18 (b) 10 (c) 5 (d) 9
  11. 11.If x/5 + 3 = 7, what is x? (a) 4 (b) 50 (c) 20 (d) 32
  12. 12.If 6x + 6 = 90, what is x? (a) 84 (b) 16 (c) 14 (d) 15
  13. 13.If 7x + 18 = x + 42, what is x? (a) 3 (b) 10 (c) 4 (d) 5
  14. 14.If 4x + 25 = 53, what is x? (a) 6 (b) 28 (c) 8 (d) 7
  15. 15.If 9x + 1 = 7x + 7, what is x? (a) 2 (b) 4 (c) 3 (d) 5
  16. 16.If 6x + 1 = 61, what is x? (a) 60 (b) 10 (c) 9 (d) 11
  17. 17.If 6x − 12 = 72, what is x? (a) 10 (b) 15 (c) 14 (d) 84
  18. 18.If 8x + 6 = 7x + 14, what is x? (a) 20 (b) 8 (c) 10 (d) 9
  19. 19.If 5x − 66 = 9, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  20. 20.If x/4 + 6 = 11, what is x? (a) 5 (b) 68 (c) 38 (d) 20
  21. 21.If 3x − 4 = 38, what is x? (a) 14 (b) 15 (c) 42 (d) 13
  22. 22.If x/5 + 6 = 16, what is x? (a) 74 (b) 50 (c) 110 (d) 10
  23. 23.If 2x − 3 = 11, what is x? (a) 8 (b) 14 (c) 7 (d) 4
  24. 24.If 9x + 15 = 2x + 36, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  25. 25.If 5x + 4 = 44, what is x? (a) 8 (b) 9 (c) 7 (d) 40
  26. 26.If 4x + 2 = 26, what is x? (a) 7 (b) 24 (c) 6 (d) 5
  27. 27.If 2x − 1 = 9, what is x? (a) 5 (b) 6 (c) 4 (d) 10
  28. 28.If 4x + 21 = 41, what is x? (a) 5 (b) 20 (c) 4 (d) 6
  29. 29.If 7x + 1 = 2x + 21, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  30. 30.If 3x − 19 = 26, what is x? (a) 45 (b) 16 (c) 15 (d) 14
  31. 31.If 9x + 12 = 120, what is x? (a) 108 (b) 13 (c) 12 (d) 11
  32. 32.If 4x + 18 = x + 54, what is x? (a) 12 (b) 14 (c) 13 (d) 24
  33. 33.If 2x − 5 = 5, what is x? (a) 5 (b) 6 (c) 4 (d) 10
  34. 34.If 7x + 14 = 5x + 26, what is x? (a) 7 (b) 1 (c) 20 (d) 6
  35. 35.If 8x + 8 = 104, what is x? (a) 96 (b) 12 (c) 14 (d) 13
  36. 36.If 2x + 26 = 30, what is x? (a) 28 (b) 2 (c) 4 (d) 3
  37. 37.If x/3 + 7 = 9, what is x? (a) 48 (b) 2 (c) 20 (d) 6
  38. 38.If x/6 + 5 = 17, what is x? (a) 12 (b) 97 (c) 132 (d) 72
  39. 39.If 2x − 2 = 22, what is x? (a) 13 (b) 24 (c) 10 (d) 12
  40. 40.If 2x + 27 = 35, what is x? (a) 8 (b) 31 (c) 4 (d) 5

Answer key

  1. 5
  2. 1
  3. 12
  4. 3
  5. 14
  6. 15
  7. 12
  8. 13
  9. 4
  10. 9
  11. 20
  12. 14
  13. 4
  14. 7
  15. 3
  16. 10
  17. 14
  18. 8
  19. 15
  20. 20
  21. 14
  22. 50
  23. 7
  24. 3
  25. 8
  26. 6
  27. 5
  28. 5
  29. 4
  30. 15
  31. 12
  32. 12
  33. 5
  34. 6
  35. 12
  36. 2
  37. 6
  38. 72
  39. 12
  40. 4

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