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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 562 · 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 + 23 = 38, what is x? (a) 6 (b) 4 (c) 15 (d) 5
  2. 2.If x/6 + 15 = 23, what is x? (a) 228 (b) 8 (c) 123 (d) 48
  3. 3.If 6x + 26 = 98, what is x? (a) 13 (b) 11 (c) 12 (d) 72
  4. 4.If 3x + 15 = 2x + 25, what is x? (a) 11 (b) 2 (c) 10 (d) 40
  5. 5.If 3x − 4 = 26, what is x? (a) 30 (b) 9 (c) 10 (d) 11
  6. 6.If x/2 + 3 = 9, what is x? (a) 15 (b) 6 (c) 24 (d) 12
  7. 7.If x/2 + 10 = 12, what is x? (a) 14 (b) 2 (c) 4 (d) 44
  8. 8.If x/2 + 6 = 8, what is x? (a) 4 (b) 2 (c) 10 (d) 28
  9. 9.If 5x + 17 = x + 57, what is x? (a) 12 (b) 11 (c) 10 (d) 9
  10. 10.If x/4 + 5 = 12, what is x? (a) 68 (b) 7 (c) 43 (d) 28
  11. 11.If 2x − 1 = 23, what is x? (a) 11 (b) 13 (c) 12 (d) 24
  12. 12.If 8x − 17 = 87, what is x? (a) 12 (b) 14 (c) 104 (d) 13
  13. 13.If x/4 + 5 = 7, what is x? (a) 23 (b) 48 (c) 8 (d) 2
  14. 14.If 4x − 17 = 3, what is x? (a) 20 (b) 4 (c) 6 (d) 5
  15. 15.If 3x + 15 = x + 31, what is x? (a) 23 (b) 4 (c) 8 (d) 9
  16. 16.If 6x + 1 = 3x + 4, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  17. 17.If 4x + 4 = 56, what is x? (a) 15 (b) 14 (c) 13 (d) 52
  18. 18.If x/3 + 6 = 15, what is x? (a) 63 (b) 27 (c) 39 (d) 9
  19. 19.If 6x + 3 = 75, what is x? (a) 12 (b) 13 (c) 72 (d) 11
  20. 20.If 7x + 20 = 6x + 27, what is x? (a) 9 (b) 8 (c) 47 (d) 7
  21. 21.If 8x + 27 = 123, what is x? (a) 12 (b) 11 (c) 96 (d) 13
  22. 22.If 8x + 14 = 94, what is x? (a) 10 (b) 9 (c) 80 (d) 11
  23. 23.If 6x − 48 = 6, what is x? (a) 9 (b) 10 (c) 8 (d) 54
  24. 24.If 3x + 10 = 55, what is x? (a) 14 (b) 45 (c) 15 (d) 16
  25. 25.If 5x + 6 = 16, what is x? (a) 1 (b) 10 (c) 3 (d) 2
  26. 26.If 9x + 15 = 7x + 17, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  27. 27.If x/4 + 15 = 24, what is x? (a) 156 (b) 9 (c) 81 (d) 36
  28. 28.If 5x − 4 = 11, what is x? (a) 4 (b) 2 (c) 3 (d) 15
  29. 29.If x/5 + 7 = 10, what is x? (a) 43 (b) 3 (c) 85 (d) 15
  30. 30.If 3x + 10 = 2x + 18, what is x? (a) 28 (b) 9 (c) 10 (d) 8
  31. 31.If x/3 + 4 = 11, what is x? (a) 21 (b) 7 (c) 45 (d) 29
  32. 32.If 8x − 87 = 9, what is x? (a) 96 (b) 12 (c) 13 (d) 11
  33. 33.If 5x − 7 = 48, what is x? (a) 11 (b) 55 (c) 10 (d) 12
  34. 34.If 8x + 20 = 60, what is x? (a) 10 (b) 40 (c) 6 (d) 5
  35. 35.If 6x + 17 = 101, what is x? (a) 15 (b) 84 (c) 14 (d) 13
  36. 36.If x/6 + 15 = 25, what is x? (a) 10 (b) 60 (c) 135 (d) 240
  37. 37.If x/3 + 14 = 22, what is x? (a) 8 (b) 52 (c) 108 (d) 24
  38. 38.If 2x + 9 = 33, what is x? (a) 24 (b) 13 (c) 12 (d) 21
  39. 39.If 9x + 10 = 91, what is x? (a) 8 (b) 9 (c) 81 (d) 10
  40. 40.If x/6 + 14 = 25, what is x? (a) 136 (b) 11 (c) 234 (d) 66

Answer key

  1. 5
  2. 48
  3. 12
  4. 10
  5. 10
  6. 12
  7. 4
  8. 4
  9. 10
  10. 28
  11. 12
  12. 13
  13. 8
  14. 5
  15. 8
  16. 1
  17. 13
  18. 27
  19. 12
  20. 7
  21. 12
  22. 10
  23. 9
  24. 15
  25. 2
  26. 1
  27. 36
  28. 3
  29. 15
  30. 8
  31. 21
  32. 12
  33. 11
  34. 5
  35. 14
  36. 60
  37. 24
  38. 12
  39. 9
  40. 66

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