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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 184 · 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 4x + 8 = 36, what is x? (a) 7 (b) 8 (c) 28 (d) 11
  2. 2.If 8x − 8 = 24, what is x? (a) 32 (b) 4 (c) 2 (d) 5
  3. 3.If 9x + 26 = 80, what is x? (a) 54 (b) 6 (c) 5 (d) 7
  4. 4.If 6x − 2 = 40, what is x? (a) 42 (b) 8 (c) 6 (d) 7
  5. 5.If 3x + 3 = x + 17, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  6. 6.If x/6 + 10 = 17, what is x? (a) 42 (b) 92 (c) 162 (d) 7
  7. 7.If x/5 + 14 = 23, what is x? (a) 9 (b) 45 (c) 101 (d) 185
  8. 8.If x/6 + 2 = 7, what is x? (a) 5 (b) 40 (c) 30 (d) 54
  9. 9.If 6x + 5 = x + 55, what is x? (a) 10 (b) 11 (c) 12 (d) 9
  10. 10.If 6x + 2 = 3x + 5, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  11. 11.If 9x + 17 = 80, what is x? (a) 7 (b) 6 (c) 8 (d) 63
  12. 12.If 8x + 15 = 5x + 21, what is x? (a) 4 (b) 2 (c) 3 (d) 12
  13. 13.If 5x + 3 = 3x + 25, what is x? (a) 11 (b) 13 (c) 12 (d) 14
  14. 14.If 2x − 8 = 4, what is x? (a) 6 (b) 7 (c) 12 (d) 5
  15. 15.If 8x + 16 = 4x + 32, what is x? (a) 6 (b) 5 (c) 12 (d) 4
  16. 16.If 7x − 22 = 41, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  17. 17.If 9x − 51 = 66, what is x? (a) 117 (b) 12 (c) 14 (d) 13
  18. 18.If 9x + 21 = 93, what is x? (a) 72 (b) 7 (c) 9 (d) 8
  19. 19.If 7x − 12 = 2, what is x? (a) 3 (b) 14 (c) 2 (d) 1
  20. 20.If x/6 + 13 = 25, what is x? (a) 137 (b) 12 (c) 228 (d) 72
  21. 21.If 3x − 7 = 8, what is x? (a) 6 (b) 4 (c) 5 (d) 15
  22. 22.If x/3 + 13 = 19, what is x? (a) 18 (b) 6 (c) 44 (d) 96
  23. 23.If 6x + 9 = 81, what is x? (a) 15 (b) 13 (c) 12 (d) 72
  24. 24.If 9x − 78 = 3, what is x? (a) 81 (b) 8 (c) 10 (d) 9
  25. 25.If 6x + 6 = 54, what is x? (a) 9 (b) 48 (c) 8 (d) 10
  26. 26.If x/6 + 3 = 11, what is x? (a) 63 (b) 84 (c) 48 (d) 8
  27. 27.If 4x − 14 = 34, what is x? (a) 48 (b) 12 (c) 13 (d) 5
  28. 28.If 5x + 14 = 2x + 23, what is x? (a) 4 (b) 2 (c) 3 (d) 5
  29. 29.If 2x + 28 = 58, what is x? (a) 43 (b) 15 (c) 30 (d) 16
  30. 30.If x/2 + 6 = 17, what is x? (a) 22 (b) 46 (c) 11 (d) 28
  31. 31.If x/2 + 6 = 11, what is x? (a) 16 (b) 5 (c) 10 (d) 34
  32. 32.If 2x − 23 = 5, what is x? (a) 28 (b) 13 (c) 14 (d) 15
  33. 33.If 8x + 3 = 19, what is x? (a) 3 (b) 2 (c) 1 (d) 16
  34. 34.If 5x + 25 = 50, what is x? (a) 5 (b) 15 (c) 6 (d) 25
  35. 35.If 3x + 7 = 2x + 18, what is x? (a) 25 (b) 12 (c) 13 (d) 11
  36. 36.If 5x + 18 = 3x + 42, what is x? (a) 12 (b) 30 (c) 3 (d) 13
  37. 37.If 5x + 16 = 71, what is x? (a) 11 (b) 12 (c) 10 (d) 55
  38. 38.If 6x + 8 = x + 28, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  39. 39.If 8x + 16 = 104, what is x? (a) 11 (b) 88 (c) 12 (d) 15
  40. 40.If 4x − 18 = 2, what is x? (a) 20 (b) 5 (c) 6 (d) 4

Answer key

  1. 7
  2. 4
  3. 6
  4. 7
  5. 7
  6. 42
  7. 45
  8. 30
  9. 10
  10. 1
  11. 7
  12. 2
  13. 11
  14. 6
  15. 4
  16. 9
  17. 13
  18. 8
  19. 2
  20. 72
  21. 5
  22. 18
  23. 12
  24. 9
  25. 8
  26. 48
  27. 12
  28. 3
  29. 15
  30. 22
  31. 10
  32. 14
  33. 2
  34. 5
  35. 11
  36. 12
  37. 11
  38. 4
  39. 11
  40. 5

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