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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 255 · 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 3x − 32 = 10, what is x? (a) 42 (b) 14 (c) 15 (d) 13
  2. 2.If 8x − 89 = 7, what is x? (a) 12 (b) 11 (c) 96 (d) 13
  3. 3.If 4x + 15 = 2x + 33, what is x? (a) 9 (b) 24 (c) 3 (d) 10
  4. 4.If x/2 + 5 = 10, what is x? (a) 5 (b) 30 (c) 15 (d) 10
  5. 5.If 4x + 5 = 57, what is x? (a) 13 (b) 14 (c) 12 (d) 52
  6. 6.If 2x − 10 = 10, what is x? (a) 9 (b) 20 (c) 11 (d) 10
  7. 7.If 9x − 53 = 37, what is x? (a) 11 (b) 90 (c) 10 (d) 9
  8. 8.If x/6 + 13 = 15, what is x? (a) 168 (b) 2 (c) 12 (d) 77
  9. 9.If 7x + 4 = 18, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  10. 10.If 9x + 13 = 5x + 61, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  11. 11.If 2x + 24 = 34, what is x? (a) 5 (b) 6 (c) 29 (d) 10
  12. 12.If 2x + 18 = 40, what is x? (a) 12 (b) 22 (c) 29 (d) 11
  13. 13.If 6x + 17 = 4x + 29, what is x? (a) 7 (b) 6 (c) 23 (d) 8
  14. 14.If 9x + 20 = 5x + 36, what is x? (a) 14 (b) 5 (c) 4 (d) 6
  15. 15.If 4x + 13 = 53, what is x? (a) 9 (b) 40 (c) 10 (d) 11
  16. 16.If 7x + 22 = 43, what is x? (a) 21 (b) 4 (c) 3 (d) 2
  17. 17.If 9x + 3 = 21, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  18. 18.If x/5 + 11 = 19, what is x? (a) 84 (b) 150 (c) 8 (d) 40
  19. 19.If 3x − 1 = 38, what is x? (a) 13 (b) 39 (c) 12 (d) 14
  20. 20.If 7x + 14 = 42, what is x? (a) 8 (b) 4 (c) 5 (d) 28
  21. 21.If 6x + 10 = 4x + 32, what is x? (a) 11 (b) 21 (c) 12 (d) 13
  22. 22.If 2x + 5 = 27, what is x? (a) 22 (b) 12 (c) 11 (d) 16
  23. 23.If 8x − 34 = 6, what is x? (a) 40 (b) 4 (c) 5 (d) 6
  24. 24.If 3x + 7 = 40, what is x? (a) 10 (b) 12 (c) 33 (d) 11
  25. 25.If 4x + 6 = 2x + 10, what is x? (a) 8 (b) 4 (c) 3 (d) 2
  26. 26.If x/3 + 7 = 18, what is x? (a) 11 (b) 75 (c) 47 (d) 33
  27. 27.If 4x − 2 = 18, what is x? (a) 5 (b) 4 (c) 6 (d) 20
  28. 28.If 2x − 2 = 4, what is x? (a) 4 (b) 6 (c) 1 (d) 3
  29. 29.If 9x + 5 = 8x + 12, what is x? (a) 9 (b) 7 (c) 8 (d) 17
  30. 30.If 8x − 22 = 34, what is x? (a) 56 (b) 6 (c) 8 (d) 7
  31. 31.If 3x − 5 = 37, what is x? (a) 15 (b) 42 (c) 13 (d) 14
  32. 32.If 2x − 10 = 2, what is x? (a) 6 (b) 7 (c) 12 (d) 5
  33. 33.If 3x − 2 = 10, what is x? (a) 5 (b) 4 (c) 12 (d) 3
  34. 34.If 3x + 13 = 2x + 23, what is x? (a) 36 (b) 11 (c) 2 (d) 10
  35. 35.If x/6 + 7 = 9, what is x? (a) 96 (b) 47 (c) 12 (d) 2
  36. 36.If x/3 + 14 = 24, what is x? (a) 114 (b) 10 (c) 58 (d) 30
  37. 37.If 3x − 24 = 6, what is x? (a) 30 (b) 11 (c) 10 (d) 9
  38. 38.If x/4 + 13 = 20, what is x? (a) 132 (b) 67 (c) 28 (d) 7
  39. 39.If 6x + 30 = 120, what is x? (a) 16 (b) 90 (c) 25 (d) 15
  40. 40.If x/4 + 13 = 25, what is x? (a) 87 (b) 48 (c) 12 (d) 152

Answer key

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

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