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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 209 · 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 6x + 2 = 86, what is x? (a) 84 (b) 13 (c) 14 (d) 15
  2. 2.If x/2 + 5 = 13, what is x? (a) 21 (b) 8 (c) 16 (d) 36
  3. 3.If 4x − 1 = 19, what is x? (a) 6 (b) 4 (c) 5 (d) 20
  4. 4.If x/2 + 9 = 14, what is x? (a) 5 (b) 19 (c) 10 (d) 46
  5. 5.If 8x + 8 = 72, what is x? (a) 10 (b) 9 (c) 8 (d) 64
  6. 6.If 8x + 13 = 117, what is x? (a) 12 (b) 104 (c) 14 (d) 13
  7. 7.If 3x + 6 = x + 26, what is x? (a) 11 (b) 10 (c) 5 (d) 16
  8. 8.If 6x − 18 = 6, what is x? (a) 4 (b) 5 (c) 3 (d) 24
  9. 9.If x/4 + 10 = 14, what is x? (a) 4 (b) 16 (c) 96 (d) 46
  10. 10.If x/5 + 9 = 12, what is x? (a) 51 (b) 105 (c) 3 (d) 15
  11. 11.If 9x − 15 = 3, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  12. 12.If x/4 + 5 = 9, what is x? (a) 31 (b) 56 (c) 4 (d) 16
  13. 13.If 9x + 9 = 144, what is x? (a) 135 (b) 15 (c) 16 (d) 17
  14. 14.If 5x + 13 = 3x + 15, what is x? (a) 2 (b) 14 (c) 1 (d) 3
  15. 15.If 5x + 4 = 34, what is x? (a) 7 (b) 6 (c) 5 (d) 30
  16. 16.If 3x + 14 = 2x + 15, what is x? (a) 3 (b) 1 (c) 29 (d) 2
  17. 17.If 5x + 2 = 4x + 8, what is x? (a) 8 (b) 6 (c) 10 (d) 7
  18. 18.If 6x − 13 = 11, what is x? (a) 3 (b) 4 (c) 24 (d) 5
  19. 19.If 2x − 3 = 5, what is x? (a) 5 (b) 8 (c) 4 (d) 1
  20. 20.If 8x + 25 = 41, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  21. 21.If x/4 + 3 = 12, what is x? (a) 9 (b) 60 (c) 45 (d) 36
  22. 22.If 9x + 10 = 82, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  23. 23.If 4x + 3 = x + 21, what is x? (a) 6 (b) 7 (c) 8 (d) 5
  24. 24.If 9x + 9 = 63, what is x? (a) 6 (b) 54 (c) 7 (d) 8
  25. 25.If 9x + 8 = 7x + 18, what is x? (a) 13 (b) 6 (c) 7 (d) 5
  26. 26.If 5x + 28 = 88, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  27. 27.If x/3 + 1 = 8, what is x? (a) 27 (b) 21 (c) 23 (d) 7
  28. 28.If 5x + 19 = 4x + 23, what is x? (a) 42 (b) 4 (c) 6 (d) 5
  29. 29.If 7x − 26 = 2, what is x? (a) 5 (b) 28 (c) 3 (d) 4
  30. 30.If 6x + 2 = 44, what is x? (a) 8 (b) 6 (c) 7 (d) 42
  31. 31.If x/4 + 9 = 21, what is x? (a) 12 (b) 48 (c) 75 (d) 120
  32. 32.If x/3 + 14 = 16, what is x? (a) 2 (b) 34 (c) 90 (d) 6
  33. 33.If 8x + 11 = 2x + 35, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  34. 34.If 3x + 29 = 65, what is x? (a) 12 (b) 11 (c) 36 (d) 13
  35. 35.If 2x − 2 = 10, what is x? (a) 7 (b) 6 (c) 12 (d) 4
  36. 36.If 2x − 1 = 19, what is x? (a) 9 (b) 20 (c) 10 (d) 11
  37. 37.If x/6 + 3 = 13, what is x? (a) 10 (b) 75 (c) 96 (d) 60
  38. 38.If 8x − 16 = 8, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  39. 39.If 8x + 7 = 6x + 31, what is x? (a) 12 (b) 19 (c) 14 (d) 13
  40. 40.If 2x + 28 = 48, what is x? (a) 11 (b) 20 (c) 10 (d) 38

Answer key

  1. 14
  2. 16
  3. 5
  4. 10
  5. 8
  6. 13
  7. 10
  8. 4
  9. 16
  10. 15
  11. 2
  12. 16
  13. 15
  14. 1
  15. 6
  16. 1
  17. 6
  18. 4
  19. 4
  20. 2
  21. 36
  22. 8
  23. 6
  24. 6
  25. 5
  26. 12
  27. 21
  28. 4
  29. 4
  30. 7
  31. 48
  32. 6
  33. 4
  34. 12
  35. 6
  36. 10
  37. 60
  38. 3
  39. 12
  40. 10

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