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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 443 · 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 9x + 14 = 3x + 38, what is x? (a) 4 (b) 2 (c) 6 (d) 5
  2. 2.If 8x + 27 = 43, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  3. 3.If x/4 + 8 = 12, what is x? (a) 16 (b) 80 (c) 40 (d) 4
  4. 4.If 5x + 6 = x + 34, what is x? (a) 8 (b) 9 (c) 10 (d) 7
  5. 5.If 3x + 9 = 45, what is x? (a) 18 (b) 36 (c) 13 (d) 12
  6. 6.If 7x − 52 = 11, what is x? (a) 63 (b) 8 (c) 10 (d) 9
  7. 7.If 4x + 14 = 42, what is x? (a) 28 (b) 7 (c) 8 (d) 14
  8. 8.If 5x + 8 = 4x + 13, what is x? (a) 7 (b) 5 (c) 21 (d) 6
  9. 9.If 6x + 22 = 40, what is x? (a) 4 (b) 2 (c) 3 (d) 18
  10. 10.If 3x + 6 = x + 16, what is x? (a) 7 (b) 11 (c) 5 (d) 6
  11. 11.If 2x + 26 = 56, what is x? (a) 41 (b) 30 (c) 16 (d) 15
  12. 12.If x/3 + 7 = 11, what is x? (a) 26 (b) 12 (c) 54 (d) 4
  13. 13.If x/2 + 6 = 8, what is x? (a) 28 (b) 2 (c) 10 (d) 4
  14. 14.If 5x + 27 = 62, what is x? (a) 7 (b) 35 (c) 6 (d) 8
  15. 15.If x/5 + 3 = 13, what is x? (a) 80 (b) 62 (c) 10 (d) 50
  16. 16.If 8x + 3 = 27, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  17. 17.If 8x + 19 = 99, what is x? (a) 9 (b) 10 (c) 80 (d) 11
  18. 18.If 2x + 3 = 17, what is x? (a) 8 (b) 10 (c) 7 (d) 14
  19. 19.If x/3 + 11 = 19, what is x? (a) 90 (b) 8 (c) 46 (d) 24
  20. 20.If 7x + 15 = 4x + 24, what is x? (a) 4 (b) 13 (c) 5 (d) 3
  21. 21.If 5x − 8 = 42, what is x? (a) 50 (b) 9 (c) 10 (d) 11
  22. 22.If 9x + 8 = 107, what is x? (a) 99 (b) 12 (c) 10 (d) 11
  23. 23.If 4x + 2 = x + 29, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  24. 24.If 3x − 13 = 29, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  25. 25.If x/4 + 4 = 9, what is x? (a) 52 (b) 5 (c) 32 (d) 20
  26. 26.If 2x + 1 = 31, what is x? (a) 14 (b) 15 (c) 30 (d) 16
  27. 27.If 8x + 9 = 25, what is x? (a) 2 (b) 16 (c) 3 (d) 1
  28. 28.If 8x + 20 = 132, what is x? (a) 19 (b) 15 (c) 112 (d) 14
  29. 29.If 4x + 30 = 90, what is x? (a) 60 (b) 16 (c) 15 (d) 30
  30. 30.If 6x − 16 = 2, what is x? (a) 18 (b) 3 (c) 2 (d) 4
  31. 31.If x/2 + 15 = 25, what is x? (a) 20 (b) 10 (c) 80 (d) 35
  32. 32.If x/5 + 14 = 23, what is x? (a) 45 (b) 9 (c) 101 (d) 185
  33. 33.If x/2 + 2 = 10, what is x? (a) 24 (b) 16 (c) 8 (d) 18
  34. 34.If 2x + 1 = 27, what is x? (a) 12 (b) 26 (c) 13 (d) 14
  35. 35.If 6x + 8 = x + 23, what is x? (a) 4 (b) 5 (c) 2 (d) 3
  36. 36.If 5x + 7 = x + 51, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  37. 37.If 8x − 56 = 56, what is x? (a) 14 (b) 112 (c) 13 (d) 15
  38. 38.If x/6 + 12 = 16, what is x? (a) 84 (b) 168 (c) 24 (d) 4
  39. 39.If 8x + 6 = 4x + 22, what is x? (a) 6 (b) 7 (c) 5 (d) 4
  40. 40.If 3x + 27 = 66, what is x? (a) 39 (b) 31 (c) 13 (d) 14

Answer key

  1. 4
  2. 2
  3. 16
  4. 7
  5. 12
  6. 9
  7. 7
  8. 5
  9. 3
  10. 5
  11. 15
  12. 12
  13. 4
  14. 7
  15. 50
  16. 3
  17. 10
  18. 7
  19. 24
  20. 3
  21. 10
  22. 11
  23. 9
  24. 14
  25. 20
  26. 15
  27. 2
  28. 14
  29. 15
  30. 3
  31. 20
  32. 45
  33. 16
  34. 13
  35. 3
  36. 11
  37. 14
  38. 24
  39. 4
  40. 13

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