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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 872 · 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 = 9, what is x? (a) 60 (b) 42 (c) 6 (d) 30
  2. 2.If 4x + 19 = 51, what is x? (a) 9 (b) 8 (c) 7 (d) 32
  3. 3.If 4x + 1 = 2x + 19, what is x? (a) 11 (b) 10 (c) 3 (d) 9
  4. 4.If x/6 + 11 = 16, what is x? (a) 85 (b) 162 (c) 30 (d) 5
  5. 5.If 4x + 16 = 3x + 24, what is x? (a) 40 (b) 10 (c) 9 (d) 8
  6. 6.If 8x − 6 = 10, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  7. 7.If 8x + 1 = 6x + 5, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  8. 8.If 9x − 44 = 10, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  9. 9.If 5x − 8 = 37, what is x? (a) 45 (b) 10 (c) 9 (d) 8
  10. 10.If x/6 + 5 = 11, what is x? (a) 6 (b) 36 (c) 61 (d) 96
  11. 11.If x/6 + 14 = 26, what is x? (a) 12 (b) 240 (c) 72 (d) 142
  12. 12.If 4x + 2 = x + 5, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  13. 13.If x/2 + 3 = 7, what is x? (a) 4 (b) 8 (c) 11 (d) 20
  14. 14.If 4x + 8 = 2x + 24, what is x? (a) 8 (b) 16 (c) 10 (d) 9
  15. 15.If 6x + 10 = 4x + 28, what is x? (a) 11 (b) 9 (c) 19 (d) 10
  16. 16.If 2x + 18 = 44, what is x? (a) 13 (b) 31 (c) 26 (d) 14
  17. 17.If x/5 + 3 = 6, what is x? (a) 45 (b) 15 (c) 27 (d) 3
  18. 18.If 5x − 52 = 18, what is x? (a) 14 (b) 15 (c) 70 (d) 13
  19. 19.If 5x + 19 = x + 55, what is x? (a) 11 (b) 9 (c) 10 (d) 6
  20. 20.If 9x + 29 = 155, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  21. 21.If 8x + 10 = 6x + 22, what is x? (a) 8 (b) 7 (c) 16 (d) 6
  22. 22.If 6x − 21 = 39, what is x? (a) 11 (b) 60 (c) 3 (d) 10
  23. 23.If x/3 + 11 = 19, what is x? (a) 8 (b) 46 (c) 24 (d) 90
  24. 24.If 7x + 24 = 45, what is x? (a) 3 (b) 4 (c) 21 (d) 2
  25. 25.If 2x − 2 = 2, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  26. 26.If 2x − 1 = 11, what is x? (a) 6 (b) 7 (c) 12 (d) 5
  27. 27.If 2x + 19 = 29, what is x? (a) 10 (b) 24 (c) 6 (d) 5
  28. 28.If 5x + 12 = 27, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  29. 29.If 4x + 19 = 3x + 31, what is x? (a) 14 (b) 13 (c) 12 (d) 50
  30. 30.If x/2 + 9 = 12, what is x? (a) 3 (b) 15 (c) 42 (d) 6
  31. 31.If 3x + 4 = 34, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  32. 32.If 7x + 13 = 3x + 61, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  33. 33.If 5x + 7 = 4x + 11, what is x? (a) 4 (b) 6 (c) 5 (d) 18
  34. 34.If 5x − 11 = 19, what is x? (a) 7 (b) 5 (c) 30 (d) 6
  35. 35.If 3x + 18 = x + 42, what is x? (a) 30 (b) 13 (c) 6 (d) 12
  36. 36.If 8x + 4 = 6x + 8, what is x? (a) 4 (b) 3 (c) 2 (d) 6
  37. 37.If x/2 + 3 = 13, what is x? (a) 23 (b) 32 (c) 20 (d) 10
  38. 38.If 5x + 15 = 2x + 42, what is x? (a) 11 (b) 19 (c) 9 (d) 10
  39. 39.If x/3 + 8 = 17, what is x? (a) 9 (b) 27 (c) 43 (d) 75
  40. 40.If 8x − 22 = 26, what is x? (a) 7 (b) 6 (c) 5 (d) 48

Answer key

  1. 30
  2. 8
  3. 9
  4. 30
  5. 8
  6. 2
  7. 2
  8. 6
  9. 9
  10. 36
  11. 72
  12. 1
  13. 8
  14. 8
  15. 9
  16. 13
  17. 15
  18. 14
  19. 9
  20. 14
  21. 6
  22. 10
  23. 24
  24. 3
  25. 2
  26. 6
  27. 5
  28. 3
  29. 12
  30. 6
  31. 10
  32. 12
  33. 4
  34. 6
  35. 12
  36. 2
  37. 20
  38. 9
  39. 27
  40. 6

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