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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 760 · 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 − 11 = 1, what is x? (a) 2 (b) 1 (c) 3 (d) 12
  2. 2.If 3x + 6 = 21, what is x? (a) 15 (b) 6 (c) 9 (d) 5
  3. 3.If x/3 + 1 = 13, what is x? (a) 36 (b) 42 (c) 12 (d) 38
  4. 4.If 3x − 5 = 7, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  5. 5.If 3x + 18 = 2x + 22, what is x? (a) 40 (b) 6 (c) 5 (d) 4
  6. 6.If 8x + 26 = 66, what is x? (a) 4 (b) 40 (c) 5 (d) 6
  7. 7.If x/2 + 11 = 17, what is x? (a) 56 (b) 6 (c) 12 (d) 23
  8. 8.If 3x + 14 = 2x + 17, what is x? (a) 3 (b) 31 (c) 5 (d) 4
  9. 9.If x/6 + 10 = 16, what is x? (a) 86 (b) 6 (c) 36 (d) 156
  10. 10.If 7x − 50 = 20, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  11. 11.If 4x + 17 = x + 47, what is x? (a) 6 (b) 11 (c) 12 (d) 10
  12. 12.If 7x + 1 = 15, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  13. 13.If 2x − 5 = 3, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  14. 14.If 9x + 16 = 3x + 82, what is x? (a) 13 (b) 10 (c) 11 (d) 12
  15. 15.If 4x + 2 = 2x + 16, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  16. 16.If 3x + 11 = 2x + 15, what is x? (a) 4 (b) 6 (c) 26 (d) 5
  17. 17.If x/3 + 13 = 20, what is x? (a) 7 (b) 21 (c) 47 (d) 99
  18. 18.If 5x + 18 = x + 42, what is x? (a) 7 (b) 4 (c) 6 (d) 15
  19. 19.If 3x − 6 = 9, what is x? (a) 6 (b) 15 (c) 5 (d) 1
  20. 20.If x/2 + 11 = 23, what is x? (a) 12 (b) 24 (c) 35 (d) 68
  21. 21.If 4x − 3 = 5, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  22. 22.If 2x − 2 = 22, what is x? (a) 13 (b) 12 (c) 24 (d) 10
  23. 23.If x/2 + 9 = 11, what is x? (a) 13 (b) 40 (c) 4 (d) 2
  24. 24.If 5x + 25 = 65, what is x? (a) 18 (b) 9 (c) 40 (d) 8
  25. 25.If 4x − 25 = 31, what is x? (a) 56 (b) 14 (c) 13 (d) 15
  26. 26.If 2x + 4 = 12, what is x? (a) 8 (b) 5 (c) 3 (d) 4
  27. 27.If x/4 + 3 = 5, what is x? (a) 2 (b) 8 (c) 32 (d) 17
  28. 28.If 9x − 50 = 13, what is x? (a) 7 (b) 63 (c) 6 (d) 8
  29. 29.If 7x + 6 = 5x + 30, what is x? (a) 13 (b) 18 (c) 2 (d) 12
  30. 30.If 4x − 13 = 3, what is x? (a) 5 (b) 16 (c) 3 (d) 4
  31. 31.If 5x + 15 = 3x + 37, what is x? (a) 12 (b) 11 (c) 13 (d) 26
  32. 32.If 5x + 13 = 4x + 21, what is x? (a) 10 (b) 34 (c) 9 (d) 8
  33. 33.If 4x − 36 = 20, what is x? (a) 56 (b) 13 (c) 14 (d) 15
  34. 34.If 8x − 2 = 22, what is x? (a) 2 (b) 4 (c) 24 (d) 3
  35. 35.If 7x + 7 = 56, what is x? (a) 8 (b) 9 (c) 49 (d) 7
  36. 36.If 6x − 60 = 6, what is x? (a) 11 (b) 66 (c) 12 (d) 10
  37. 37.If x/2 + 11 = 14, what is x? (a) 17 (b) 50 (c) 3 (d) 6
  38. 38.If 4x + 26 = 62, what is x? (a) 22 (b) 36 (c) 9 (d) 10
  39. 39.If 8x + 14 = 94, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  40. 40.If 2x + 7 = 27, what is x? (a) 20 (b) 11 (c) 10 (d) 17

Answer key

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

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