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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 941 · 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 2x − 1 = 5, what is x? (a) 3 (b) 6 (c) 2 (d) 4
  2. 2.If 8x + 4 = 28, what is x? (a) 3 (b) 24 (c) 4 (d) 2
  3. 3.If 6x + 23 = 89, what is x? (a) 12 (b) 66 (c) 10 (d) 11
  4. 4.If 2x + 29 = 35, what is x? (a) 32 (b) 4 (c) 3 (d) 6
  5. 5.If 7x + 23 = 93, what is x? (a) 70 (b) 9 (c) 11 (d) 10
  6. 6.If x/2 + 3 = 7, what is x? (a) 11 (b) 8 (c) 20 (d) 4
  7. 7.If 3x + 6 = 2x + 9, what is x? (a) 15 (b) 5 (c) 4 (d) 3
  8. 8.If 4x + 7 = 19, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  9. 9.If 6x + 16 = 3x + 52, what is x? (a) 4 (b) 12 (c) 14 (d) 13
  10. 10.If x/2 + 6 = 12, what is x? (a) 36 (b) 18 (c) 6 (d) 12
  11. 11.If 5x − 18 = 2, what is x? (a) 3 (b) 5 (c) 20 (d) 4
  12. 12.If 4x + 4 = 52, what is x? (a) 14 (b) 13 (c) 48 (d) 12
  13. 13.If 6x + 8 = x + 48, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  14. 14.If x/3 + 1 = 12, what is x? (a) 11 (b) 33 (c) 39 (d) 35
  15. 15.If x/5 + 7 = 19, what is x? (a) 130 (b) 88 (c) 12 (d) 60
  16. 16.If 7x + 21 = 35, what is x? (a) 2 (b) 8 (c) 14 (d) 3
  17. 17.If 9x + 14 = 4x + 64, what is x? (a) 12 (b) 10 (c) 11 (d) 9
  18. 18.If 6x + 16 = 3x + 34, what is x? (a) 2 (b) 7 (c) 8 (d) 6
  19. 19.If 4x + 5 = x + 17, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  20. 20.If 6x + 15 = 99, what is x? (a) 14 (b) 84 (c) 15 (d) 19
  21. 21.If 2x − 11 = 3, what is x? (a) 8 (b) 14 (c) 6 (d) 7
  22. 22.If 5x + 16 = x + 20, what is x? (a) 9 (b) 3 (c) 2 (d) 1
  23. 23.If 4x + 9 = x + 36, what is x? (a) 10 (b) 11 (c) 15 (d) 9
  24. 24.If 6x + 6 = 4x + 18, what is x? (a) 12 (b) 7 (c) 6 (d) 8
  25. 25.If 9x + 20 = 5x + 56, what is x? (a) 11 (b) 19 (c) 9 (d) 10
  26. 26.If x/4 + 13 = 20, what is x? (a) 67 (b) 28 (c) 7 (d) 132
  27. 27.If 9x + 16 = x + 112, what is x? (a) 16 (b) 12 (c) 14 (d) 13
  28. 28.If 3x − 1 = 5, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  29. 29.If 5x − 21 = 19, what is x? (a) 40 (b) 7 (c) 8 (d) 9
  30. 30.If 4x + 1 = 45, what is x? (a) 10 (b) 44 (c) 11 (d) 12
  31. 31.If x/2 + 9 = 15, what is x? (a) 6 (b) 48 (c) 21 (d) 12
  32. 32.If 3x + 5 = x + 7, what is x? (a) 2 (b) 1 (c) 6 (d) 3
  33. 33.If 5x + 15 = 80, what is x? (a) 13 (b) 14 (c) 65 (d) 19
  34. 34.If 4x + 11 = x + 14, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  35. 35.If 6x − 61 = 17, what is x? (a) 14 (b) 78 (c) 12 (d) 13
  36. 36.If x/6 + 2 = 10, what is x? (a) 72 (b) 8 (c) 58 (d) 48
  37. 37.If 2x − 6 = 12, what is x? (a) 18 (b) 10 (c) 3 (d) 9
  38. 38.If 9x − 28 = 17, what is x? (a) 5 (b) 45 (c) 6 (d) 4
  39. 39.If 4x − 54 = 6, what is x? (a) 14 (b) 16 (c) 60 (d) 15
  40. 40.If 9x + 13 = 6x + 37, what is x? (a) 8 (b) 7 (c) 9 (d) 10

Answer key

  1. 3
  2. 3
  3. 11
  4. 3
  5. 10
  6. 8
  7. 3
  8. 3
  9. 12
  10. 12
  11. 4
  12. 12
  13. 8
  14. 33
  15. 60
  16. 2
  17. 10
  18. 6
  19. 4
  20. 14
  21. 7
  22. 1
  23. 9
  24. 6
  25. 9
  26. 28
  27. 12
  28. 2
  29. 8
  30. 11
  31. 12
  32. 1
  33. 13
  34. 1
  35. 13
  36. 48
  37. 9
  38. 5
  39. 15
  40. 8

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