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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 856 · 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/4 + 13 = 19, what is x? (a) 24 (b) 128 (c) 6 (d) 63
  2. 2.If 5x + 26 = 76, what is x? (a) 9 (b) 10 (c) 50 (d) 11
  3. 3.If 8x − 21 = 59, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  4. 4.If 3x + 6 = x + 10, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  5. 5.If x/2 + 3 = 5, what is x? (a) 2 (b) 4 (c) 7 (d) 16
  6. 6.If 5x + 4 = 2x + 10, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  7. 7.If 8x + 12 = 108, what is x? (a) 96 (b) 13 (c) 15 (d) 12
  8. 8.If 3x + 5 = x + 13, what is x? (a) 9 (b) 4 (c) 5 (d) 2
  9. 9.If 8x + 7 = 2x + 31, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  10. 10.If 2x + 6 = 24, what is x? (a) 15 (b) 10 (c) 18 (d) 9
  11. 11.If 5x + 13 = x + 17, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  12. 12.If 7x + 24 = 66, what is x? (a) 42 (b) 6 (c) 5 (d) 7
  13. 13.If x/3 + 7 = 15, what is x? (a) 38 (b) 24 (c) 8 (d) 66
  14. 14.If 3x − 4 = 8, what is x? (a) 12 (b) 4 (c) 5 (d) 3
  15. 15.If 3x + 20 = 2x + 30, what is x? (a) 10 (b) 11 (c) 50 (d) 2
  16. 16.If 5x + 3 = 68, what is x? (a) 14 (b) 13 (c) 12 (d) 65
  17. 17.If 2x + 15 = 37, what is x? (a) 22 (b) 26 (c) 12 (d) 11
  18. 18.If 7x + 1 = x + 31, what is x? (a) 6 (b) 4 (c) 7 (d) 5
  19. 19.If 3x − 1 = 14, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  20. 20.If 7x − 2 = 47, what is x? (a) 7 (b) 8 (c) 49 (d) 6
  21. 21.If 4x − 9 = 19, what is x? (a) 7 (b) 6 (c) 8 (d) 28
  22. 22.If 3x + 28 = 73, what is x? (a) 14 (b) 45 (c) 15 (d) 16
  23. 23.If 9x − 115 = 2, what is x? (a) 117 (b) 13 (c) 14 (d) 12
  24. 24.If x/2 + 5 = 13, what is x? (a) 36 (b) 21 (c) 8 (d) 16
  25. 25.If x/3 + 10 = 15, what is x? (a) 5 (b) 35 (c) 15 (d) 75
  26. 26.If 6x − 10 = 8, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  27. 27.If 5x − 33 = 32, what is x? (a) 12 (b) 14 (c) 65 (d) 13
  28. 28.If 8x + 9 = 81, what is x? (a) 9 (b) 8 (c) 10 (d) 72
  29. 29.If 5x + 17 = 2x + 20, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  30. 30.If 3x + 17 = 2x + 26, what is x? (a) 10 (b) 9 (c) 11 (d) 43
  31. 31.If 6x + 25 = 61, what is x? (a) 36 (b) 5 (c) 6 (d) 7
  32. 32.If x/5 + 11 = 13, what is x? (a) 54 (b) 2 (c) 120 (d) 10
  33. 33.If x/2 + 11 = 15, what is x? (a) 52 (b) 19 (c) 4 (d) 8
  34. 34.If 9x − 13 = 23, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  35. 35.If x/4 + 14 = 19, what is x? (a) 132 (b) 5 (c) 20 (d) 62
  36. 36.If 5x − 11 = 4, what is x? (a) 3 (b) 2 (c) 4 (d) 15
  37. 37.If 3x + 9 = x + 11, what is x? (a) 1 (b) 10 (c) 2 (d) 3
  38. 38.If 4x − 7 = 1, what is x? (a) 8 (b) 3 (c) 2 (d) 1
  39. 39.If 3x + 17 = x + 27, what is x? (a) 6 (b) 22 (c) 5 (d) 7
  40. 40.If 3x + 22 = 40, what is x? (a) 5 (b) 6 (c) 7 (d) 18

Answer key

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

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