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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 204 · 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/5 + 3 = 10, what is x? (a) 65 (b) 7 (c) 35 (d) 47
  2. 2.If 7x + 19 = 4x + 31, what is x? (a) 3 (b) 5 (c) 6 (d) 4
  3. 3.If x/3 + 7 = 10, what is x? (a) 51 (b) 23 (c) 9 (d) 3
  4. 4.If 5x − 23 = 2, what is x? (a) 4 (b) 6 (c) 25 (d) 5
  5. 5.If x/2 + 6 = 11, what is x? (a) 5 (b) 34 (c) 16 (d) 10
  6. 6.If 3x + 13 = 28, what is x? (a) 6 (b) 5 (c) 4 (d) 15
  7. 7.If 6x + 6 = x + 16, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  8. 8.If 3x + 13 = 55, what is x? (a) 14 (b) 15 (c) 13 (d) 42
  9. 9.If 3x + 15 = 51, what is x? (a) 22 (b) 36 (c) 13 (d) 12
  10. 10.If 3x + 14 = 23, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  11. 11.If x/2 + 8 = 15, what is x? (a) 46 (b) 14 (c) 7 (d) 22
  12. 12.If 4x + 25 = 57, what is x? (a) 9 (b) 7 (c) 8 (d) 32
  13. 13.If x/3 + 13 = 24, what is x? (a) 33 (b) 11 (c) 111 (d) 59
  14. 14.If 9x + 9 = 3x + 15, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  15. 15.If 4x + 12 = x + 36, what is x? (a) 10 (b) 16 (c) 8 (d) 9
  16. 16.If 4x + 17 = 2x + 33, what is x? (a) 10 (b) 9 (c) 25 (d) 8
  17. 17.If 5x − 2 = 63, what is x? (a) 65 (b) 13 (c) 12 (d) 14
  18. 18.If 4x + 27 = 47, what is x? (a) 20 (b) 4 (c) 5 (d) 6
  19. 19.If x/3 + 6 = 14, what is x? (a) 60 (b) 36 (c) 24 (d) 8
  20. 20.If 9x + 26 = 71, what is x? (a) 4 (b) 5 (c) 45 (d) 6
  21. 21.If 9x + 24 = 60, what is x? (a) 5 (b) 36 (c) 3 (d) 4
  22. 22.If 2x − 11 = 11, what is x? (a) 12 (b) 22 (c) 11 (d) 10
  23. 23.If 8x − 7 = 25, what is x? (a) 5 (b) 32 (c) 4 (d) 3
  24. 24.If 9x − 84 = 42, what is x? (a) 13 (b) 14 (c) 126 (d) 15
  25. 25.If 6x + 11 = 2x + 43, what is x? (a) 9 (b) 10 (c) 4 (d) 8
  26. 26.If 7x + 29 = 43, what is x? (a) 2 (b) 3 (c) 14 (d) 1
  27. 27.If 8x + 18 = 58, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  28. 28.If 8x + 9 = 129, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  29. 29.If 2x + 18 = 48, what is x? (a) 33 (b) 15 (c) 30 (d) 16
  30. 30.If x/4 + 4 = 11, what is x? (a) 40 (b) 60 (c) 28 (d) 7
  31. 31.If 9x + 29 = 83, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  32. 32.If x/2 + 2 = 12, what is x? (a) 10 (b) 20 (c) 22 (d) 28
  33. 33.If 5x + 18 = 2x + 39, what is x? (a) 3 (b) 8 (c) 7 (d) 19
  34. 34.If 9x + 11 = 83, what is x? (a) 9 (b) 7 (c) 72 (d) 8
  35. 35.If 4x + 29 = 41, what is x? (a) 2 (b) 12 (c) 3 (d) 4
  36. 36.If 9x + 2 = 8x + 8, what is x? (a) 6 (b) 10 (c) 8 (d) 7
  37. 37.If x/2 + 5 = 9, what is x? (a) 13 (b) 28 (c) 8 (d) 4
  38. 38.If 8x + 5 = x + 26, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  39. 39.If 4x + 11 = 2x + 23, what is x? (a) 17 (b) 7 (c) 6 (d) 2
  40. 40.If 8x + 19 = 43, what is x? (a) 4 (b) 24 (c) 3 (d) 2

Answer key

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

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