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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 245 · 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 − 1 = 7, what is x? (a) 8 (b) 3 (c) 5 (d) 4
  2. 2.If 8x − 11 = 77, what is x? (a) 11 (b) 88 (c) 10 (d) 12
  3. 3.If 2x + 3 = 27, what is x? (a) 24 (b) 13 (c) 12 (d) 15
  4. 4.If 8x + 13 = 5x + 40, what is x? (a) 8 (b) 11 (c) 10 (d) 9
  5. 5.If 9x + 12 = 57, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  6. 6.If x/4 + 1 = 9, what is x? (a) 8 (b) 32 (c) 40 (d) 35
  7. 7.If 6x − 10 = 2, what is x? (a) 1 (b) 12 (c) 2 (d) 3
  8. 8.If 4x + 19 = 71, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  9. 9.If x/6 + 12 = 16, what is x? (a) 84 (b) 24 (c) 4 (d) 168
  10. 10.If 2x − 9 = 21, what is x? (a) 30 (b) 16 (c) 15 (d) 6
  11. 11.If x/2 + 6 = 17, what is x? (a) 46 (b) 28 (c) 11 (d) 22
  12. 12.If 9x − 17 = 28, what is x? (a) 5 (b) 6 (c) 4 (d) 45
  13. 13.If x/5 + 11 = 22, what is x? (a) 55 (b) 165 (c) 11 (d) 99
  14. 14.If 5x + 19 = 3x + 23, what is x? (a) 3 (b) 21 (c) 2 (d) 4
  15. 15.If x/5 + 3 = 12, what is x? (a) 57 (b) 9 (c) 45 (d) 75
  16. 16.If 2x + 6 = 22, what is x? (a) 9 (b) 14 (c) 16 (d) 8
  17. 17.If 9x + 30 = 93, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  18. 18.If 9x + 28 = 82, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  19. 19.If 7x − 24 = 74, what is x? (a) 15 (b) 14 (c) 98 (d) 13
  20. 20.If 2x + 23 = 37, what is x? (a) 30 (b) 7 (c) 8 (d) 14
  21. 21.If 6x − 35 = 37, what is x? (a) 12 (b) 13 (c) 72 (d) 11
  22. 22.If x/2 + 1 = 9, what is x? (a) 16 (b) 17 (c) 20 (d) 8
  23. 23.If 4x − 5 = 3, what is x? (a) 3 (b) 2 (c) 8 (d) 1
  24. 24.If 4x + 15 = x + 33, what is x? (a) 16 (b) 6 (c) 8 (d) 7
  25. 25.If 9x + 8 = 3x + 44, what is x? (a) 7 (b) 3 (c) 8 (d) 6
  26. 26.If x/5 + 4 = 9, what is x? (a) 65 (b) 5 (c) 41 (d) 25
  27. 27.If 9x + 26 = 80, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  28. 28.If x/3 + 9 = 17, what is x? (a) 24 (b) 8 (c) 42 (d) 78
  29. 29.If x/2 + 9 = 20, what is x? (a) 11 (b) 31 (c) 22 (d) 58
  30. 30.If x/5 + 2 = 4, what is x? (a) 2 (b) 30 (c) 10 (d) 18
  31. 31.If 8x + 6 = 2x + 60, what is x? (a) 8 (b) 9 (c) 10 (d) 11
  32. 32.If 2x + 21 = 29, what is x? (a) 25 (b) 4 (c) 8 (d) 5
  33. 33.If 8x + 13 = 6x + 23, what is x? (a) 6 (b) 5 (c) 18 (d) 7
  34. 34.If 8x + 7 = 3x + 27, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  35. 35.If 5x − 18 = 17, what is x? (a) 8 (b) 7 (c) 35 (d) 6
  36. 36.If 9x + 1 = 82, what is x? (a) 81 (b) 10 (c) 9 (d) 8
  37. 37.If 8x + 7 = 47, what is x? (a) 6 (b) 4 (c) 5 (d) 40
  38. 38.If 8x − 17 = 95, what is x? (a) 14 (b) 112 (c) 13 (d) 15
  39. 39.If 7x − 26 = 16, what is x? (a) 6 (b) 42 (c) 5 (d) 7
  40. 40.If 5x + 13 = 28, what is x? (a) 2 (b) 3 (c) 15 (d) 4

Answer key

  1. 4
  2. 11
  3. 12
  4. 9
  5. 5
  6. 32
  7. 2
  8. 13
  9. 24
  10. 15
  11. 22
  12. 5
  13. 55
  14. 2
  15. 45
  16. 8
  17. 7
  18. 6
  19. 14
  20. 7
  21. 12
  22. 16
  23. 2
  24. 6
  25. 6
  26. 25
  27. 6
  28. 24
  29. 22
  30. 10
  31. 9
  32. 4
  33. 5
  34. 4
  35. 7
  36. 9
  37. 5
  38. 14
  39. 6
  40. 3

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