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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 963 · 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) 1 (b) 4 (c) 3 (d) 2
  2. 2.If 4x − 3 = 21, what is x? (a) 7 (b) 6 (c) 24 (d) 5
  3. 3.If 4x − 4 = 12, what is x? (a) 16 (b) 2 (c) 5 (d) 4
  4. 4.If 8x + 7 = 5x + 43, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  5. 5.If 6x − 26 = 52, what is x? (a) 14 (b) 13 (c) 78 (d) 12
  6. 6.If 4x + 3 = x + 39, what is x? (a) 12 (b) 14 (c) 13 (d) 11
  7. 7.If 8x + 24 = 96, what is x? (a) 72 (b) 9 (c) 15 (d) 10
  8. 8.If 3x + 7 = 19, what is x? (a) 12 (b) 3 (c) 4 (d) 5
  9. 9.If x/5 + 8 = 13, what is x? (a) 25 (b) 105 (c) 5 (d) 57
  10. 10.If 8x + 23 = 111, what is x? (a) 10 (b) 11 (c) 88 (d) 12
  11. 11.If 4x − 3 = 33, what is x? (a) 9 (b) 10 (c) 8 (d) 36
  12. 12.If x/3 + 7 = 11, what is x? (a) 54 (b) 12 (c) 26 (d) 4
  13. 13.If 7x + 14 = 70, what is x? (a) 9 (b) 56 (c) 12 (d) 8
  14. 14.If 6x + 13 = 5x + 17, what is x? (a) 5 (b) 4 (c) 30 (d) 6
  15. 15.If 3x − 7 = 17, what is x? (a) 24 (b) 9 (c) 7 (d) 8
  16. 16.If 7x + 5 = 5x + 11, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  17. 17.If 7x + 11 = 95, what is x? (a) 13 (b) 12 (c) 84 (d) 11
  18. 18.If x/3 + 3 = 11, what is x? (a) 24 (b) 30 (c) 8 (d) 42
  19. 19.If 2x + 20 = 28, what is x? (a) 5 (b) 4 (c) 24 (d) 8
  20. 20.If 4x − 3 = 17, what is x? (a) 20 (b) 5 (c) 4 (d) 6
  21. 21.If x/2 + 7 = 16, what is x? (a) 9 (b) 25 (c) 18 (d) 46
  22. 22.If 4x + 10 = 26, what is x? (a) 16 (b) 5 (c) 4 (d) 9
  23. 23.If 2x + 23 = 27, what is x? (a) 3 (b) 4 (c) 25 (d) 2
  24. 24.If x/2 + 12 = 18, what is x? (a) 12 (b) 24 (c) 60 (d) 6
  25. 25.If 7x + 15 = 5x + 19, what is x? (a) 2 (b) 4 (c) 17 (d) 3
  26. 26.If 2x − 1 = 19, what is x? (a) 20 (b) 9 (c) 10 (d) 11
  27. 27.If x/5 + 5 = 7, what is x? (a) 30 (b) 2 (c) 60 (d) 10
  28. 28.If 6x + 3 = 15, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  29. 29.If 8x + 22 = 62, what is x? (a) 4 (b) 40 (c) 5 (d) 6
  30. 30.If x/3 + 11 = 19, what is x? (a) 8 (b) 24 (c) 46 (d) 90
  31. 31.If 3x + 15 = 2x + 23, what is x? (a) 38 (b) 9 (c) 8 (d) 10
  32. 32.If 3x + 14 = 2x + 21, what is x? (a) 35 (b) 9 (c) 8 (d) 7
  33. 33.If 7x + 3 = 6x + 11, what is x? (a) 8 (b) 10 (c) 9 (d) 14
  34. 34.If 6x + 23 = 65, what is x? (a) 42 (b) 8 (c) 7 (d) 6
  35. 35.If 4x − 13 = 31, what is x? (a) 12 (b) 44 (c) 11 (d) 10
  36. 36.If x/2 + 8 = 13, what is x? (a) 5 (b) 42 (c) 10 (d) 18
  37. 37.If 5x + 2 = x + 6, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  38. 38.If 4x − 14 = 34, what is x? (a) 12 (b) 5 (c) 48 (d) 13
  39. 39.If x/5 + 13 = 21, what is x? (a) 170 (b) 8 (c) 40 (d) 92
  40. 40.If 9x + 6 = 6x + 39, what is x? (a) 13 (b) 15 (c) 11 (d) 12

Answer key

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

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