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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 355 · 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 9x + 23 = 50, what is x? (a) 3 (b) 27 (c) 4 (d) 2
  2. 2.If 7x + 4 = x + 76, what is x? (a) 13 (b) 12 (c) 9 (d) 14
  3. 3.If 2x − 4 = 6, what is x? (a) 6 (b) 10 (c) 5 (d) 1
  4. 4.If 8x + 3 = 43, what is x? (a) 4 (b) 5 (c) 6 (d) 40
  5. 5.If 8x + 30 = 62, what is x? (a) 5 (b) 4 (c) 32 (d) 3
  6. 6.If 4x + 17 = 49, what is x? (a) 8 (b) 9 (c) 32 (d) 7
  7. 7.If 9x + 14 = 131, what is x? (a) 13 (b) 14 (c) 117 (d) 12
  8. 8.If 5x + 5 = x + 37, what is x? (a) 9 (b) 8 (c) 7 (d) 10
  9. 9.If 4x − 37 = 15, what is x? (a) 52 (b) 13 (c) 12 (d) 14
  10. 10.If 4x − 29 = 27, what is x? (a) 14 (b) 56 (c) 13 (d) 15
  11. 11.If x/3 + 1 = 7, what is x? (a) 6 (b) 18 (c) 20 (d) 24
  12. 12.If 4x − 5 = 19, what is x? (a) 24 (b) 5 (c) 7 (d) 6
  13. 13.If 9x + 28 = 127, what is x? (a) 12 (b) 99 (c) 11 (d) 10
  14. 14.If 7x + 27 = 55, what is x? (a) 28 (b) 3 (c) 4 (d) 5
  15. 15.If 2x − 14 = 4, what is x? (a) 18 (b) 8 (c) 9 (d) 10
  16. 16.If 2x + 21 = 33, what is x? (a) 7 (b) 6 (c) 27 (d) 12
  17. 17.If 3x + 7 = 2x + 19, what is x? (a) 13 (b) 14 (c) 26 (d) 12
  18. 18.If 2x + 3 = 23, what is x? (a) 20 (b) 10 (c) 11 (d) 13
  19. 19.If 8x − 111 = 1, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  20. 20.If 8x + 17 = 3x + 62, what is x? (a) 9 (b) 10 (c) 8 (d) 11
  21. 21.If 8x + 3 = 3x + 38, what is x? (a) 7 (b) 9 (c) 8 (d) 6
  22. 22.If 2x + 5 = 11, what is x? (a) 4 (b) 8 (c) 3 (d) 6
  23. 23.If 8x + 16 = 40, what is x? (a) 7 (b) 24 (c) 4 (d) 3
  24. 24.If x/4 + 9 = 12, what is x? (a) 12 (b) 3 (c) 39 (d) 84
  25. 25.If 4x + 30 = 46, what is x? (a) 5 (b) 16 (c) 4 (d) 19
  26. 26.If 5x + 1 = 4x + 4, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  27. 27.If 8x − 21 = 27, what is x? (a) 6 (b) 5 (c) 48 (d) 7
  28. 28.If 6x + 27 = 111, what is x? (a) 14 (b) 15 (c) 23 (d) 84
  29. 29.If 5x + 3 = 2x + 39, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  30. 30.If 6x + 3 = 2x + 31, what is x? (a) 6 (b) 8 (c) 7 (d) 9
  31. 31.If 2x + 25 = 49, what is x? (a) 12 (b) 24 (c) 37 (d) 13
  32. 32.If x/3 + 5 = 7, what is x? (a) 6 (b) 36 (c) 16 (d) 2
  33. 33.If 6x − 10 = 26, what is x? (a) 7 (b) 5 (c) 6 (d) 36
  34. 34.If 4x + 11 = 51, what is x? (a) 40 (b) 9 (c) 11 (d) 10
  35. 35.If x/3 + 15 = 19, what is x? (a) 102 (b) 12 (c) 42 (d) 4
  36. 36.If 5x + 7 = 32, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  37. 37.If 9x − 13 = 41, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  38. 38.If 8x + 10 = 98, what is x? (a) 12 (b) 10 (c) 88 (d) 11
  39. 39.If 4x − 18 = 38, what is x? (a) 56 (b) 14 (c) 15 (d) 5
  40. 40.If 3x + 17 = x + 21, what is x? (a) 1 (b) 3 (c) 19 (d) 2

Answer key

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

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