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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 448 · 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 − 3 = 3, what is x? (a) 6 (b) 2 (c) 1 (d) 3
  2. 2.If 3x + 29 = 68, what is x? (a) 14 (b) 39 (c) 12 (d) 13
  3. 3.If 3x − 5 = 25, what is x? (a) 9 (b) 11 (c) 30 (d) 10
  4. 4.If 7x + 17 = 80, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  5. 5.If 3x − 2 = 19, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  6. 6.If 5x + 5 = x + 41, what is x? (a) 9 (b) 6 (c) 11 (d) 10
  7. 7.If 8x + 12 = 5x + 27, what is x? (a) 7 (b) 13 (c) 5 (d) 6
  8. 8.If 4x + 30 = 54, what is x? (a) 24 (b) 21 (c) 7 (d) 6
  9. 9.If 7x + 21 = 42, what is x? (a) 21 (b) 3 (c) 4 (d) 9
  10. 10.If 4x − 5 = 19, what is x? (a) 7 (b) 6 (c) 24 (d) 5
  11. 11.If 3x + 20 = 26, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  12. 12.If x/5 + 9 = 19, what is x? (a) 140 (b) 86 (c) 50 (d) 10
  13. 13.If 5x + 16 = x + 40, what is x? (a) 14 (b) 4 (c) 6 (d) 7
  14. 14.If 9x + 2 = 137, what is x? (a) 15 (b) 16 (c) 135 (d) 14
  15. 15.If 7x + 19 = 68, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  16. 16.If 3x − 13 = 5, what is x? (a) 7 (b) 5 (c) 18 (d) 6
  17. 17.If 9x + 5 = x + 13, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  18. 18.If 6x + 21 = 87, what is x? (a) 12 (b) 66 (c) 11 (d) 18
  19. 19.If x/6 + 13 = 16, what is x? (a) 18 (b) 174 (c) 83 (d) 3
  20. 20.If x/2 + 9 = 13, what is x? (a) 8 (b) 44 (c) 17 (d) 4
  21. 21.If 7x + 11 = 74, what is x? (a) 8 (b) 9 (c) 63 (d) 10
  22. 22.If 5x + 1 = 2x + 22, what is x? (a) 7 (b) 8 (c) 9 (d) 3
  23. 23.If 8x − 12 = 12, what is x? (a) 4 (b) 3 (c) 2 (d) 24
  24. 24.If 9x + 1 = 2x + 15, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  25. 25.If 5x − 19 = 11, what is x? (a) 6 (b) 30 (c) 5 (d) 7
  26. 26.If 9x + 10 = 5x + 50, what is x? (a) 12 (b) 11 (c) 10 (d) 15
  27. 27.If 9x + 4 = 6x + 25, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  28. 28.If 9x + 12 = 7x + 24, what is x? (a) 8 (b) 18 (c) 7 (d) 6
  29. 29.If 7x + 4 = x + 22, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  30. 30.If 8x − 7 = 25, what is x? (a) 5 (b) 3 (c) 4 (d) 32
  31. 31.If 2x − 15 = 7, what is x? (a) 10 (b) 12 (c) 22 (d) 11
  32. 32.If 2x − 13 = 3, what is x? (a) 16 (b) 7 (c) 9 (d) 8
  33. 33.If 8x − 73 = 7, what is x? (a) 10 (b) 11 (c) 80 (d) 9
  34. 34.If 2x − 2 = 14, what is x? (a) 16 (b) 6 (c) 8 (d) 9
  35. 35.If 9x − 10 = 44, what is x? (a) 54 (b) 5 (c) 7 (d) 6
  36. 36.If 3x + 21 = 33, what is x? (a) 5 (b) 4 (c) 12 (d) 18
  37. 37.If x/5 + 9 = 11, what is x? (a) 46 (b) 100 (c) 10 (d) 2
  38. 38.If 5x + 30 = 40, what is x? (a) 10 (b) 2 (c) 3 (d) 14
  39. 39.If x/2 + 5 = 8, what is x? (a) 3 (b) 11 (c) 26 (d) 6
  40. 40.If 4x + 1 = 33, what is x? (a) 8 (b) 7 (c) 32 (d) 9

Answer key

  1. 2
  2. 13
  3. 10
  4. 9
  5. 7
  6. 9
  7. 5
  8. 6
  9. 3
  10. 6
  11. 2
  12. 50
  13. 6
  14. 15
  15. 7
  16. 6
  17. 1
  18. 11
  19. 18
  20. 8
  21. 9
  22. 7
  23. 3
  24. 2
  25. 6
  26. 10
  27. 7
  28. 6
  29. 3
  30. 4
  31. 11
  32. 8
  33. 10
  34. 8
  35. 6
  36. 4
  37. 10
  38. 2
  39. 6
  40. 8

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