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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 346 · 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 + 27 = 35, what is x? (a) 4 (b) 31 (c) 5 (d) 8
  2. 2.If x/2 + 12 = 23, what is x? (a) 22 (b) 34 (c) 11 (d) 70
  3. 3.If x/5 + 10 = 21, what is x? (a) 155 (b) 55 (c) 95 (d) 11
  4. 4.If 6x + 13 = 4x + 29, what is x? (a) 10 (b) 8 (c) 21 (d) 9
  5. 5.If x/6 + 14 = 26, what is x? (a) 12 (b) 72 (c) 142 (d) 240
  6. 6.If 7x + 17 = 38, what is x? (a) 21 (b) 4 (c) 3 (d) 2
  7. 7.If x/2 + 14 = 22, what is x? (a) 30 (b) 72 (c) 8 (d) 16
  8. 8.If 6x − 38 = 46, what is x? (a) 15 (b) 84 (c) 14 (d) 13
  9. 9.If 6x + 16 = 4x + 22, what is x? (a) 19 (b) 4 (c) 3 (d) 5
  10. 10.If 3x − 21 = 3, what is x? (a) 9 (b) 8 (c) 7 (d) 24
  11. 11.If 9x + 26 = 152, what is x? (a) 13 (b) 14 (c) 126 (d) 15
  12. 12.If 8x − 79 = 33, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  13. 13.If 9x − 68 = 4, what is x? (a) 8 (b) 7 (c) 9 (d) 72
  14. 14.If 9x + 18 = 5x + 66, what is x? (a) 12 (b) 13 (c) 14 (d) 21
  15. 15.If 5x + 19 = 44, what is x? (a) 4 (b) 6 (c) 25 (d) 5
  16. 16.If 9x + 16 = 6x + 52, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  17. 17.If 8x + 8 = 112, what is x? (a) 104 (b) 14 (c) 13 (d) 15
  18. 18.If 4x + 16 = 76, what is x? (a) 16 (b) 60 (c) 23 (d) 15
  19. 19.If 5x − 3 = 32, what is x? (a) 8 (b) 35 (c) 6 (d) 7
  20. 20.If 5x − 4 = 46, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  21. 21.If x/2 + 2 = 10, what is x? (a) 8 (b) 16 (c) 24 (d) 18
  22. 22.If 8x + 12 = 68, what is x? (a) 8 (b) 56 (c) 10 (d) 7
  23. 23.If 3x − 4 = 11, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  24. 24.If 6x − 6 = 12, what is x? (a) 1 (b) 3 (c) 4 (d) 18
  25. 25.If 5x − 4 = 11, what is x? (a) 3 (b) 15 (c) 4 (d) 2
  26. 26.If 6x + 2 = 3x + 32, what is x? (a) 9 (b) 10 (c) 12 (d) 11
  27. 27.If 7x + 15 = 36, what is x? (a) 21 (b) 3 (c) 2 (d) 4
  28. 28.If 7x − 10 = 46, what is x? (a) 7 (b) 56 (c) 9 (d) 8
  29. 29.If 4x + 15 = 27, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  30. 30.If 9x + 5 = 131, what is x? (a) 14 (b) 13 (c) 15 (d) 126
  31. 31.If 2x − 15 = 3, what is x? (a) 10 (b) 8 (c) 18 (d) 9
  32. 32.If 8x + 30 = 94, what is x? (a) 64 (b) 7 (c) 9 (d) 8
  33. 33.If 3x + 17 = 2x + 28, what is x? (a) 12 (b) 13 (c) 11 (d) 45
  34. 34.If x/5 + 13 = 18, what is x? (a) 155 (b) 25 (c) 5 (d) 77
  35. 35.If 3x − 12 = 12, what is x? (a) 7 (b) 9 (c) 24 (d) 8
  36. 36.If x/2 + 13 = 15, what is x? (a) 2 (b) 4 (c) 17 (d) 56
  37. 37.If 5x + 13 = 2x + 31, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  38. 38.If 4x + 15 = x + 33, what is x? (a) 16 (b) 7 (c) 6 (d) 8
  39. 39.If 4x − 10 = 6, what is x? (a) 5 (b) 4 (c) 3 (d) 16
  40. 40.If 5x + 20 = x + 40, what is x? (a) 5 (b) 7 (c) 15 (d) 6

Answer key

  1. 4
  2. 22
  3. 55
  4. 8
  5. 72
  6. 3
  7. 16
  8. 14
  9. 3
  10. 8
  11. 14
  12. 14
  13. 8
  14. 12
  15. 5
  16. 12
  17. 13
  18. 15
  19. 7
  20. 10
  21. 16
  22. 7
  23. 5
  24. 3
  25. 3
  26. 10
  27. 3
  28. 8
  29. 3
  30. 14
  31. 9
  32. 8
  33. 11
  34. 25
  35. 8
  36. 4
  37. 6
  38. 6
  39. 4
  40. 5

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