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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 446 · 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/2 + 6 = 11, what is x? (a) 16 (b) 10 (c) 5 (d) 34
  2. 2.If 7x + 6 = 5x + 8, what is x? (a) 1 (b) 2 (c) 3 (d) 7
  3. 3.If 4x − 23 = 33, what is x? (a) 15 (b) 14 (c) 13 (d) 56
  4. 4.If x/3 + 14 = 21, what is x? (a) 105 (b) 49 (c) 21 (d) 7
  5. 5.If 4x + 28 = 60, what is x? (a) 9 (b) 8 (c) 32 (d) 22
  6. 6.If x/5 + 8 = 12, what is x? (a) 20 (b) 100 (c) 4 (d) 52
  7. 7.If x/4 + 2 = 13, what is x? (a) 44 (b) 50 (c) 60 (d) 11
  8. 8.If x/5 + 12 = 14, what is x? (a) 130 (b) 10 (c) 58 (d) 2
  9. 9.If 2x + 3 = 9, what is x? (a) 3 (b) 2 (c) 6 (d) 4
  10. 10.If 2x + 22 = 42, what is x? (a) 11 (b) 10 (c) 32 (d) 20
  11. 11.If 4x + 2 = x + 38, what is x? (a) 12 (b) 11 (c) 14 (d) 13
  12. 12.If 4x − 2 = 54, what is x? (a) 56 (b) 14 (c) 13 (d) 15
  13. 13.If 9x + 9 = 6x + 21, what is x? (a) 5 (b) 10 (c) 6 (d) 4
  14. 14.If 7x + 19 = 124, what is x? (a) 15 (b) 105 (c) 16 (d) 14
  15. 15.If 4x + 24 = 52, what is x? (a) 28 (b) 7 (c) 19 (d) 8
  16. 16.If x/3 + 4 = 12, what is x? (a) 48 (b) 8 (c) 32 (d) 24
  17. 17.If 3x − 11 = 1, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  18. 18.If 7x + 8 = 113, what is x? (a) 15 (b) 105 (c) 14 (d) 16
  19. 19.If 4x + 22 = 50, what is x? (a) 28 (b) 8 (c) 18 (d) 7
  20. 20.If 6x + 17 = 3x + 50, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  21. 21.If 9x + 30 = 57, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  22. 22.If 6x + 30 = 114, what is x? (a) 15 (b) 84 (c) 14 (d) 24
  23. 23.If 3x + 22 = 31, what is x? (a) 3 (b) 2 (c) 9 (d) 4
  24. 24.If 5x + 20 = 50, what is x? (a) 14 (b) 6 (c) 7 (d) 30
  25. 25.If 8x + 16 = 7x + 17, what is x? (a) 3 (b) 2 (c) 1 (d) 33
  26. 26.If 7x + 16 = 3x + 20, what is x? (a) 2 (b) 9 (c) 1 (d) 3
  27. 27.If x/2 + 6 = 13, what is x? (a) 20 (b) 7 (c) 14 (d) 38
  28. 28.If 6x − 2 = 22, what is x? (a) 5 (b) 4 (c) 3 (d) 24
  29. 29.If 9x + 8 = 3x + 62, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  30. 30.If 2x + 28 = 40, what is x? (a) 7 (b) 34 (c) 12 (d) 6
  31. 31.If 9x + 28 = 73, what is x? (a) 6 (b) 5 (c) 45 (d) 4
  32. 32.If x/4 + 1 = 3, what is x? (a) 8 (b) 11 (c) 2 (d) 16
  33. 33.If 7x − 19 = 16, what is x? (a) 5 (b) 6 (c) 4 (d) 35
  34. 34.If 4x + 9 = x + 30, what is x? (a) 8 (b) 9 (c) 13 (d) 7
  35. 35.If 9x + 28 = 136, what is x? (a) 12 (b) 108 (c) 11 (d) 13
  36. 36.If 5x − 22 = 28, what is x? (a) 10 (b) 50 (c) 9 (d) 11
  37. 37.If 4x + 25 = 33, what is x? (a) 2 (b) 8 (c) 1 (d) 3
  38. 38.If 5x − 34 = 41, what is x? (a) 14 (b) 15 (c) 16 (d) 75
  39. 39.If 7x + 8 = 43, what is x? (a) 4 (b) 5 (c) 35 (d) 6
  40. 40.If 3x − 10 = 2, what is x? (a) 12 (b) 5 (c) 4 (d) 3

Answer key

  1. 10
  2. 1
  3. 14
  4. 21
  5. 8
  6. 20
  7. 44
  8. 10
  9. 3
  10. 10
  11. 12
  12. 14
  13. 4
  14. 15
  15. 7
  16. 24
  17. 4
  18. 15
  19. 7
  20. 11
  21. 3
  22. 14
  23. 3
  24. 6
  25. 1
  26. 1
  27. 14
  28. 4
  29. 9
  30. 6
  31. 5
  32. 8
  33. 5
  34. 7
  35. 12
  36. 10
  37. 2
  38. 15
  39. 5
  40. 4

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