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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 392 · 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 2x + 19 = 39, what is x? (a) 29 (b) 20 (c) 11 (d) 10
  2. 2.If 5x + 17 = 87, what is x? (a) 13 (b) 70 (c) 15 (d) 14
  3. 3.If 3x + 4 = 13, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  4. 4.If x/6 + 13 = 15, what is x? (a) 77 (b) 168 (c) 12 (d) 2
  5. 5.If 2x − 10 = 4, what is x? (a) 8 (b) 6 (c) 7 (d) 14
  6. 6.If x/4 + 15 = 20, what is x? (a) 5 (b) 20 (c) 65 (d) 140
  7. 7.If 4x + 6 = x + 27, what is x? (a) 8 (b) 9 (c) 7 (d) 11
  8. 8.If 3x + 21 = 42, what is x? (a) 21 (b) 6 (c) 7 (d) 8
  9. 9.If x/3 + 10 = 16, what is x? (a) 38 (b) 18 (c) 78 (d) 6
  10. 10.If x/4 + 4 = 14, what is x? (a) 52 (b) 40 (c) 72 (d) 10
  11. 11.If x/3 + 14 = 25, what is x? (a) 117 (b) 11 (c) 61 (d) 33
  12. 12.If 8x − 27 = 5, what is x? (a) 32 (b) 4 (c) 5 (d) 3
  13. 13.If 4x + 13 = 2x + 21, what is x? (a) 4 (b) 17 (c) 6 (d) 5
  14. 14.If 6x − 2 = 16, what is x? (a) 4 (b) 3 (c) 2 (d) 18
  15. 15.If 3x + 9 = 45, what is x? (a) 13 (b) 12 (c) 18 (d) 36
  16. 16.If 5x + 11 = 2x + 17, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  17. 17.If 6x − 16 = 20, what is x? (a) 7 (b) 36 (c) 6 (d) 5
  18. 18.If 9x + 20 = 3x + 44, what is x? (a) 5 (b) 6 (c) 4 (d) 2
  19. 19.If 3x + 6 = 2x + 10, what is x? (a) 5 (b) 6 (c) 16 (d) 4
  20. 20.If x/5 + 2 = 4, what is x? (a) 10 (b) 30 (c) 18 (d) 2
  21. 21.If 4x + 12 = x + 15, what is x? (a) 9 (b) 3 (c) 1 (d) 2
  22. 22.If 7x + 29 = 113, what is x? (a) 12 (b) 13 (c) 84 (d) 11
  23. 23.If 9x + 3 = 5x + 23, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  24. 24.If 6x + 2 = 62, what is x? (a) 11 (b) 10 (c) 60 (d) 9
  25. 25.If 9x + 8 = 44, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  26. 26.If 3x + 2 = 47, what is x? (a) 16 (b) 14 (c) 45 (d) 15
  27. 27.If 6x + 6 = 30, what is x? (a) 6 (b) 24 (c) 5 (d) 4
  28. 28.If x/2 + 7 = 19, what is x? (a) 24 (b) 12 (c) 31 (d) 52
  29. 29.If 6x + 5 = x + 60, what is x? (a) 12 (b) 13 (c) 11 (d) 10
  30. 30.If 4x + 19 = 3x + 20, what is x? (a) 3 (b) 39 (c) 2 (d) 1
  31. 31.If 5x − 14 = 1, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  32. 32.If x/4 + 1 = 12, what is x? (a) 11 (b) 52 (c) 44 (d) 47
  33. 33.If 8x + 26 = 122, what is x? (a) 13 (b) 96 (c) 11 (d) 12
  34. 34.If 7x − 24 = 4, what is x? (a) 3 (b) 28 (c) 5 (d) 4
  35. 35.If 2x − 18 = 2, what is x? (a) 11 (b) 9 (c) 20 (d) 10
  36. 36.If 9x + 2 = 20, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  37. 37.If x/3 + 3 = 6, what is x? (a) 27 (b) 9 (c) 3 (d) 15
  38. 38.If 2x − 1 = 3, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  39. 39.If 8x + 26 = 146, what is x? (a) 120 (b) 14 (c) 16 (d) 15
  40. 40.If 5x + 19 = 4x + 31, what is x? (a) 12 (b) 14 (c) 13 (d) 50

Answer key

  1. 10
  2. 14
  3. 3
  4. 12
  5. 7
  6. 20
  7. 7
  8. 7
  9. 18
  10. 40
  11. 33
  12. 4
  13. 4
  14. 3
  15. 12
  16. 2
  17. 6
  18. 4
  19. 4
  20. 10
  21. 1
  22. 12
  23. 5
  24. 10
  25. 4
  26. 15
  27. 4
  28. 24
  29. 11
  30. 1
  31. 3
  32. 44
  33. 12
  34. 4
  35. 10
  36. 2
  37. 9
  38. 2
  39. 15
  40. 12

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