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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 899 · 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 − 16 = 4, what is x? (a) 11 (b) 20 (c) 9 (d) 10
  2. 2.If 3x − 19 = 17, what is x? (a) 36 (b) 12 (c) 13 (d) 11
  3. 3.If 3x + 11 = x + 31, what is x? (a) 21 (b) 10 (c) 11 (d) 5
  4. 4.If 2x − 18 = 12, what is x? (a) 14 (b) 15 (c) 30 (d) 16
  5. 5.If 6x − 2 = 82, what is x? (a) 13 (b) 15 (c) 14 (d) 84
  6. 6.If 6x + 3 = 57, what is x? (a) 10 (b) 9 (c) 54 (d) 8
  7. 7.If 9x + 22 = 40, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  8. 8.If 8x + 4 = 116, what is x? (a) 13 (b) 112 (c) 14 (d) 15
  9. 9.If 8x + 11 = 2x + 47, what is x? (a) 8 (b) 7 (c) 5 (d) 6
  10. 10.If 4x + 8 = x + 32, what is x? (a) 8 (b) 10 (c) 9 (d) 7
  11. 11.If 3x − 9 = 3, what is x? (a) 4 (b) 5 (c) 3 (d) 12
  12. 12.If 9x + 19 = 55, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  13. 13.If 9x + 15 = 7x + 39, what is x? (a) 14 (b) 12 (c) 13 (d) 27
  14. 14.If x/3 + 12 = 23, what is x? (a) 33 (b) 105 (c) 57 (d) 11
  15. 15.If 2x − 11 = 3, what is x? (a) 8 (b) 7 (c) 6 (d) 14
  16. 16.If 2x + 21 = 39, what is x? (a) 30 (b) 18 (c) 10 (d) 9
  17. 17.If 4x + 12 = 2x + 14, what is x? (a) 3 (b) 1 (c) 2 (d) 13
  18. 18.If 5x − 11 = 19, what is x? (a) 6 (b) 30 (c) 7 (d) 5
  19. 19.If 3x + 9 = x + 19, what is x? (a) 7 (b) 5 (c) 6 (d) 14
  20. 20.If x/3 + 6 = 11, what is x? (a) 51 (b) 27 (c) 15 (d) 5
  21. 21.If 3x − 13 = 14, what is x? (a) 10 (b) 8 (c) 9 (d) 27
  22. 22.If 7x − 26 = 9, what is x? (a) 5 (b) 35 (c) 6 (d) 4
  23. 23.If x/6 + 3 = 9, what is x? (a) 72 (b) 6 (c) 36 (d) 51
  24. 24.If x/6 + 12 = 19, what is x? (a) 186 (b) 42 (c) 7 (d) 102
  25. 25.If 3x + 23 = 35, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  26. 26.If 6x + 5 = 23, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  27. 27.If x/3 + 1 = 12, what is x? (a) 33 (b) 39 (c) 35 (d) 11
  28. 28.If 5x + 12 = x + 60, what is x? (a) 13 (b) 8 (c) 18 (d) 12
  29. 29.If 7x + 2 = 86, what is x? (a) 12 (b) 13 (c) 84 (d) 11
  30. 30.If 2x + 9 = 19, what is x? (a) 10 (b) 6 (c) 5 (d) 14
  31. 31.If x/5 + 2 = 4, what is x? (a) 30 (b) 18 (c) 10 (d) 2
  32. 32.If 6x − 56 = 28, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  33. 33.If 8x + 4 = 5x + 25, what is x? (a) 6 (b) 7 (c) 9 (d) 8
  34. 34.If 7x − 1 = 20, what is x? (a) 3 (b) 2 (c) 21 (d) 4
  35. 35.If 2x + 6 = 14, what is x? (a) 8 (b) 10 (c) 5 (d) 4
  36. 36.If 9x + 1 = 4x + 16, what is x? (a) 2 (b) 3 (c) 5 (d) 4
  37. 37.If 9x + 20 = 83, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  38. 38.If 4x + 12 = x + 33, what is x? (a) 7 (b) 9 (c) 15 (d) 8
  39. 39.If 5x − 7 = 53, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  40. 40.If x/6 + 2 = 4, what is x? (a) 36 (b) 12 (c) 2 (d) 22

Answer key

  1. 10
  2. 12
  3. 10
  4. 15
  5. 14
  6. 9
  7. 2
  8. 14
  9. 6
  10. 8
  11. 4
  12. 4
  13. 12
  14. 33
  15. 7
  16. 9
  17. 1
  18. 6
  19. 5
  20. 15
  21. 9
  22. 5
  23. 36
  24. 42
  25. 4
  26. 3
  27. 33
  28. 12
  29. 12
  30. 5
  31. 10
  32. 14
  33. 7
  34. 3
  35. 4
  36. 3
  37. 7
  38. 7
  39. 12
  40. 12

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