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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 905 · 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 8x − 19 = 21, what is x? (a) 40 (b) 4 (c) 6 (d) 5
  2. 2.If 2x − 7 = 1, what is x? (a) 3 (b) 4 (c) 5 (d) 8
  3. 3.If 4x + 2 = 3x + 6, what is x? (a) 4 (b) 8 (c) 6 (d) 5
  4. 4.If 8x + 2 = 2x + 38, what is x? (a) 5 (b) 6 (c) 7 (d) 8
  5. 5.If 8x − 15 = 41, what is x? (a) 6 (b) 56 (c) 8 (d) 7
  6. 6.If 6x + 14 = 2x + 18, what is x? (a) 2 (b) 3 (c) 8 (d) 1
  7. 7.If 8x − 12 = 4, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  8. 8.If 8x + 15 = 3x + 65, what is x? (a) 10 (b) 11 (c) 12 (d) 16
  9. 9.If 2x + 4 = 20, what is x? (a) 9 (b) 16 (c) 12 (d) 8
  10. 10.If 9x + 22 = 139, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  11. 11.If 8x − 23 = 9, what is x? (a) 3 (b) 5 (c) 32 (d) 4
  12. 12.If 6x + 30 = 108, what is x? (a) 13 (b) 14 (c) 23 (d) 78
  13. 13.If 8x + 28 = 52, what is x? (a) 10 (b) 4 (c) 24 (d) 3
  14. 14.If 8x − 8 = 32, what is x? (a) 3 (b) 40 (c) 5 (d) 6
  15. 15.If 7x − 8 = 27, what is x? (a) 4 (b) 5 (c) 35 (d) 6
  16. 16.If 6x + 30 = 48, what is x? (a) 18 (b) 13 (c) 4 (d) 3
  17. 17.If 7x + 11 = 2x + 21, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  18. 18.If x/3 + 10 = 12, what is x? (a) 26 (b) 6 (c) 66 (d) 2
  19. 19.If 6x + 13 = 91, what is x? (a) 12 (b) 13 (c) 14 (d) 78
  20. 20.If x/3 + 8 = 16, what is x? (a) 40 (b) 8 (c) 24 (d) 72
  21. 21.If 5x + 17 = 47, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  22. 22.If 2x + 7 = 35, what is x? (a) 14 (b) 15 (c) 28 (d) 21
  23. 23.If 2x − 1 = 9, what is x? (a) 6 (b) 4 (c) 5 (d) 10
  24. 24.If 9x − 88 = 11, what is x? (a) 11 (b) 12 (c) 99 (d) 10
  25. 25.If 7x + 11 = 74, what is x? (a) 63 (b) 8 (c) 9 (d) 10
  26. 26.If 5x − 5 = 15, what is x? (a) 4 (b) 5 (c) 2 (d) 20
  27. 27.If 9x − 14 = 22, what is x? (a) 4 (b) 36 (c) 5 (d) 3
  28. 28.If 6x + 20 = 5x + 32, what is x? (a) 13 (b) 12 (c) 52 (d) 14
  29. 29.If 4x + 19 = x + 43, what is x? (a) 9 (b) 7 (c) 10 (d) 8
  30. 30.If 6x + 6 = 96, what is x? (a) 17 (b) 90 (c) 15 (d) 16
  31. 31.If 5x − 1 = 9, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  32. 32.If 5x + 5 = x + 33, what is x? (a) 7 (b) 8 (c) 9 (d) 6
  33. 33.If 3x + 11 = 41, what is x? (a) 10 (b) 11 (c) 9 (d) 30
  34. 34.If x/6 + 2 = 5, what is x? (a) 18 (b) 42 (c) 28 (d) 3
  35. 35.If 3x + 27 = 63, what is x? (a) 30 (b) 13 (c) 12 (d) 36
  36. 36.If x/4 + 14 = 17, what is x? (a) 12 (b) 124 (c) 3 (d) 54
  37. 37.If 9x + 18 = 81, what is x? (a) 63 (b) 11 (c) 7 (d) 8
  38. 38.If 6x + 18 = 4x + 38, what is x? (a) 2 (b) 28 (c) 11 (d) 10
  39. 39.If 9x − 32 = 4, what is x? (a) 36 (b) 5 (c) 3 (d) 4
  40. 40.If x/5 + 1 = 10, what is x? (a) 49 (b) 9 (c) 45 (d) 55

Answer key

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

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