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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 14 · 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 x/2 + 12 = 20, what is x? (a) 8 (b) 28 (c) 64 (d) 16
  2. 2.If 8x + 17 = 97, what is x? (a) 11 (b) 9 (c) 80 (d) 10
  3. 3.If 9x + 25 = 88, what is x? (a) 8 (b) 63 (c) 7 (d) 6
  4. 4.If 5x + 8 = 58, what is x? (a) 10 (b) 9 (c) 11 (d) 50
  5. 5.If 9x + 18 = 81, what is x? (a) 63 (b) 11 (c) 8 (d) 7
  6. 6.If 4x + 18 = 66, what is x? (a) 12 (b) 48 (c) 13 (d) 21
  7. 7.If x/3 + 11 = 16, what is x? (a) 15 (b) 37 (c) 81 (d) 5
  8. 8.If 7x + 3 = x + 27, what is x? (a) 6 (b) 3 (c) 5 (d) 4
  9. 9.If x/4 + 7 = 16, what is x? (a) 57 (b) 92 (c) 36 (d) 9
  10. 10.If 5x − 4 = 41, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  11. 11.If 8x − 25 = 7, what is x? (a) 32 (b) 3 (c) 5 (d) 4
  12. 12.If 6x + 16 = 2x + 60, what is x? (a) 19 (b) 13 (c) 12 (d) 11
  13. 13.If 6x + 16 = 100, what is x? (a) 15 (b) 13 (c) 84 (d) 14
  14. 14.If 7x + 30 = 72, what is x? (a) 5 (b) 6 (c) 42 (d) 7
  15. 15.If 9x + 4 = 139, what is x? (a) 135 (b) 16 (c) 14 (d) 15
  16. 16.If 9x + 9 = 5x + 49, what is x? (a) 10 (b) 9 (c) 12 (d) 11
  17. 17.If 7x + 24 = 80, what is x? (a) 8 (b) 7 (c) 56 (d) 9
  18. 18.If 3x + 11 = x + 17, what is x? (a) 5 (b) 4 (c) 14 (d) 3
  19. 19.If x/2 + 3 = 14, what is x? (a) 11 (b) 22 (c) 34 (d) 25
  20. 20.If 3x − 15 = 21, what is x? (a) 36 (b) 13 (c) 12 (d) 2
  21. 21.If x/6 + 10 = 14, what is x? (a) 144 (b) 74 (c) 24 (d) 4
  22. 22.If x/2 + 2 = 6, what is x? (a) 4 (b) 16 (c) 10 (d) 8
  23. 23.If x/3 + 4 = 12, what is x? (a) 8 (b) 32 (c) 48 (d) 24
  24. 24.If 6x + 24 = 114, what is x? (a) 23 (b) 90 (c) 16 (d) 15
  25. 25.If 5x + 10 = 4x + 21, what is x? (a) 11 (b) 31 (c) 12 (d) 13
  26. 26.If 9x + 23 = 50, what is x? (a) 3 (b) 2 (c) 4 (d) 27
  27. 27.If x/2 + 11 = 13, what is x? (a) 2 (b) 48 (c) 15 (d) 4
  28. 28.If 2x + 17 = 33, what is x? (a) 16 (b) 8 (c) 9 (d) 25
  29. 29.If 5x − 61 = 14, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  30. 30.If 8x − 74 = 14, what is x? (a) 10 (b) 11 (c) 12 (d) 88
  31. 31.If x/3 + 5 = 7, what is x? (a) 16 (b) 36 (c) 6 (d) 2
  32. 32.If 8x + 17 = 7x + 21, what is x? (a) 6 (b) 4 (c) 38 (d) 5
  33. 33.If 8x − 29 = 27, what is x? (a) 56 (b) 7 (c) 6 (d) 8
  34. 34.If 4x + 4 = 56, what is x? (a) 52 (b) 15 (c) 13 (d) 14
  35. 35.If 4x + 13 = 45, what is x? (a) 8 (b) 7 (c) 32 (d) 9
  36. 36.If 7x + 10 = 3x + 34, what is x? (a) 7 (b) 11 (c) 6 (d) 8
  37. 37.If 5x + 9 = 44, what is x? (a) 7 (b) 8 (c) 6 (d) 35
  38. 38.If 6x − 57 = 15, what is x? (a) 72 (b) 11 (c) 13 (d) 12
  39. 39.If 5x + 7 = 47, what is x? (a) 7 (b) 40 (c) 9 (d) 8
  40. 40.If x/2 + 9 = 16, what is x? (a) 50 (b) 7 (c) 14 (d) 23

Answer key

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

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