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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 292 · 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 4x − 18 = 6, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  2. 2.If 6x + 29 = 95, what is x? (a) 12 (b) 66 (c) 11 (d) 10
  3. 3.If 6x + 22 = 34, what is x? (a) 12 (b) 3 (c) 2 (d) 1
  4. 4.If x/3 + 7 = 10, what is x? (a) 23 (b) 51 (c) 9 (d) 3
  5. 5.If 3x + 4 = 37, what is x? (a) 11 (b) 12 (c) 10 (d) 33
  6. 6.If 7x + 28 = 42, what is x? (a) 14 (b) 10 (c) 2 (d) 3
  7. 7.If 2x − 10 = 2, what is x? (a) 12 (b) 7 (c) 5 (d) 6
  8. 8.If x/4 + 2 = 4, what is x? (a) 24 (b) 2 (c) 14 (d) 8
  9. 9.If x/6 + 4 = 15, what is x? (a) 86 (b) 11 (c) 114 (d) 66
  10. 10.If 9x − 26 = 10, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  11. 11.If 4x + 5 = x + 17, what is x? (a) 4 (b) 3 (c) 6 (d) 5
  12. 12.If 3x + 13 = x + 15, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  13. 13.If 2x − 16 = 14, what is x? (a) 14 (b) 30 (c) 16 (d) 15
  14. 14.If 6x + 20 = 4x + 44, what is x? (a) 13 (b) 14 (c) 12 (d) 32
  15. 15.If x/2 + 12 = 17, what is x? (a) 5 (b) 22 (c) 10 (d) 58
  16. 16.If 3x + 5 = 2x + 15, what is x? (a) 2 (b) 10 (c) 20 (d) 11
  17. 17.If x/3 + 11 = 17, what is x? (a) 6 (b) 18 (c) 84 (d) 40
  18. 18.If x/5 + 5 = 10, what is x? (a) 5 (b) 75 (c) 25 (d) 45
  19. 19.If 5x + 2 = 2x + 38, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  20. 20.If x/2 + 12 = 18, what is x? (a) 60 (b) 24 (c) 6 (d) 12
  21. 21.If 5x + 28 = 48, what is x? (a) 20 (b) 4 (c) 3 (d) 5
  22. 22.If x/3 + 8 = 15, what is x? (a) 69 (b) 7 (c) 37 (d) 21
  23. 23.If 4x + 14 = 2x + 38, what is x? (a) 13 (b) 12 (c) 26 (d) 4
  24. 24.If 3x + 19 = 55, what is x? (a) 11 (b) 36 (c) 12 (d) 13
  25. 25.If x/4 + 5 = 8, what is x? (a) 52 (b) 27 (c) 12 (d) 3
  26. 26.If 3x + 1 = 7, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  27. 27.If 6x + 13 = 4x + 35, what is x? (a) 12 (b) 13 (c) 24 (d) 11
  28. 28.If 4x + 3 = 3x + 7, what is x? (a) 10 (b) 6 (c) 4 (d) 5
  29. 29.If 5x + 20 = 2x + 32, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  30. 30.If 6x + 25 = 73, what is x? (a) 48 (b) 8 (c) 7 (d) 9
  31. 31.If x/6 + 3 = 14, what is x? (a) 81 (b) 11 (c) 66 (d) 102
  32. 32.If x/2 + 5 = 12, what is x? (a) 7 (b) 14 (c) 34 (d) 19
  33. 33.If 6x − 1 = 41, what is x? (a) 42 (b) 6 (c) 8 (d) 7
  34. 34.If x/3 + 6 = 18, what is x? (a) 36 (b) 12 (c) 48 (d) 72
  35. 35.If x/3 + 11 = 21, what is x? (a) 52 (b) 30 (c) 96 (d) 10
  36. 36.If x/3 + 15 = 26, what is x? (a) 11 (b) 63 (c) 123 (d) 33
  37. 37.If 7x + 9 = 3x + 53, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  38. 38.If 3x − 24 = 3, what is x? (a) 9 (b) 10 (c) 8 (d) 27
  39. 39.If x/4 + 1 = 11, what is x? (a) 40 (b) 10 (c) 43 (d) 48
  40. 40.If 4x + 9 = 3x + 19, what is x? (a) 28 (b) 11 (c) 12 (d) 10

Answer key

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

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