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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 624 · 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 7x − 25 = 10, what is x? (a) 4 (b) 35 (c) 5 (d) 6
  2. 2.If 6x + 14 = 5x + 24, what is x? (a) 12 (b) 10 (c) 38 (d) 11
  3. 3.If 8x + 28 = 124, what is x? (a) 19 (b) 96 (c) 13 (d) 12
  4. 4.If 2x + 20 = 38, what is x? (a) 10 (b) 18 (c) 29 (d) 9
  5. 5.If 4x − 31 = 1, what is x? (a) 7 (b) 32 (c) 9 (d) 8
  6. 6.If x/5 + 13 = 23, what is x? (a) 10 (b) 180 (c) 50 (d) 102
  7. 7.If 9x + 23 = 158, what is x? (a) 16 (b) 135 (c) 15 (d) 14
  8. 8.If 3x + 20 = 2x + 21, what is x? (a) 1 (b) 3 (c) 2 (d) 41
  9. 9.If x/3 + 7 = 15, what is x? (a) 66 (b) 24 (c) 38 (d) 8
  10. 10.If 5x − 16 = 39, what is x? (a) 55 (b) 12 (c) 10 (d) 11
  11. 11.If x/2 + 11 = 13, what is x? (a) 2 (b) 48 (c) 15 (d) 4
  12. 12.If 5x + 7 = 22, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  13. 13.If 2x − 2 = 8, what is x? (a) 6 (b) 5 (c) 3 (d) 10
  14. 14.If x/4 + 4 = 11, what is x? (a) 28 (b) 7 (c) 60 (d) 40
  15. 15.If 3x + 20 = x + 34, what is x? (a) 8 (b) 27 (c) 9 (d) 7
  16. 16.If 6x − 5 = 7, what is x? (a) 1 (b) 2 (c) 12 (d) 3
  17. 17.If 7x + 9 = 6x + 13, what is x? (a) 22 (b) 5 (c) 4 (d) 6
  18. 18.If 2x − 17 = 11, what is x? (a) 15 (b) 13 (c) 28 (d) 14
  19. 19.If 5x − 9 = 11, what is x? (a) 3 (b) 5 (c) 20 (d) 4
  20. 20.If 5x − 13 = 2, what is x? (a) 2 (b) 15 (c) 4 (d) 3
  21. 21.If 8x − 6 = 74, what is x? (a) 10 (b) 80 (c) 9 (d) 11
  22. 22.If 3x − 11 = 7, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  23. 23.If 4x + 12 = 32, what is x? (a) 20 (b) 6 (c) 5 (d) 11
  24. 24.If x/4 + 9 = 18, what is x? (a) 108 (b) 36 (c) 63 (d) 9
  25. 25.If x/3 + 8 = 14, what is x? (a) 34 (b) 18 (c) 6 (d) 66
  26. 26.If 9x + 12 = 39, what is x? (a) 2 (b) 27 (c) 4 (d) 3
  27. 27.If x/2 + 11 = 23, what is x? (a) 68 (b) 12 (c) 35 (d) 24
  28. 28.If x/5 + 2 = 14, what is x? (a) 68 (b) 12 (c) 80 (d) 60
  29. 29.If 5x + 16 = 61, what is x? (a) 9 (b) 45 (c) 8 (d) 10
  30. 30.If x/2 + 3 = 7, what is x? (a) 4 (b) 11 (c) 8 (d) 20
  31. 31.If 2x + 8 = 22, what is x? (a) 15 (b) 7 (c) 8 (d) 14
  32. 32.If 2x − 4 = 22, what is x? (a) 26 (b) 13 (c) 14 (d) 9
  33. 33.If x/2 + 13 = 15, what is x? (a) 17 (b) 56 (c) 2 (d) 4
  34. 34.If 3x + 27 = 42, what is x? (a) 15 (b) 6 (c) 23 (d) 5
  35. 35.If 8x + 8 = 2x + 44, what is x? (a) 7 (b) 5 (c) 8 (d) 6
  36. 36.If 9x + 28 = 46, what is x? (a) 18 (b) 1 (c) 2 (d) 3
  37. 37.If 3x + 26 = 71, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  38. 38.If 6x + 18 = 2x + 50, what is x? (a) 4 (b) 9 (c) 8 (d) 17
  39. 39.If x/4 + 3 = 12, what is x? (a) 60 (b) 45 (c) 9 (d) 36
  40. 40.If 6x + 27 = 51, what is x? (a) 5 (b) 24 (c) 13 (d) 4

Answer key

  1. 5
  2. 10
  3. 12
  4. 9
  5. 8
  6. 50
  7. 15
  8. 1
  9. 24
  10. 11
  11. 4
  12. 3
  13. 5
  14. 28
  15. 7
  16. 2
  17. 4
  18. 14
  19. 4
  20. 3
  21. 10
  22. 6
  23. 5
  24. 36
  25. 18
  26. 3
  27. 24
  28. 60
  29. 9
  30. 8
  31. 7
  32. 13
  33. 4
  34. 5
  35. 6
  36. 2
  37. 15
  38. 8
  39. 36
  40. 4

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