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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 104 · 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 8x + 3 = 99, what is x? (a) 11 (b) 12 (c) 13 (d) 96
  2. 2.If 4x + 16 = 44, what is x? (a) 28 (b) 15 (c) 7 (d) 8
  3. 3.If 3x + 13 = 49, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  4. 4.If 3x + 26 = 62, what is x? (a) 13 (b) 11 (c) 36 (d) 12
  5. 5.If 4x + 18 = 66, what is x? (a) 12 (b) 21 (c) 13 (d) 48
  6. 6.If 4x + 6 = 2x + 12, what is x? (a) 3 (b) 4 (c) 9 (d) 1
  7. 7.If 5x + 8 = 4x + 10, what is x? (a) 4 (b) 18 (c) 2 (d) 3
  8. 8.If 3x + 5 = x + 13, what is x? (a) 2 (b) 9 (c) 5 (d) 4
  9. 9.If x/4 + 1 = 9, what is x? (a) 35 (b) 32 (c) 8 (d) 40
  10. 10.If x/2 + 6 = 17, what is x? (a) 28 (b) 46 (c) 22 (d) 11
  11. 11.If 5x + 12 = 32, what is x? (a) 4 (b) 5 (c) 20 (d) 3
  12. 12.If 3x + 17 = 32, what is x? (a) 4 (b) 15 (c) 5 (d) 6
  13. 13.If 7x − 55 = 15, what is x? (a) 70 (b) 10 (c) 9 (d) 11
  14. 14.If 4x + 5 = 3x + 9, what is x? (a) 14 (b) 6 (c) 4 (d) 5
  15. 15.If x/3 + 10 = 20, what is x? (a) 10 (b) 90 (c) 30 (d) 50
  16. 16.If 8x + 7 = 4x + 11, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  17. 17.If 2x + 18 = 44, what is x? (a) 26 (b) 14 (c) 31 (d) 13
  18. 18.If 7x + 29 = 64, what is x? (a) 5 (b) 4 (c) 35 (d) 6
  19. 19.If 4x + 14 = 2x + 22, what is x? (a) 4 (b) 6 (c) 5 (d) 18
  20. 20.If 4x + 24 = 80, what is x? (a) 26 (b) 15 (c) 14 (d) 56
  21. 21.If 4x − 53 = 7, what is x? (a) 16 (b) 60 (c) 14 (d) 15
  22. 22.If 6x + 12 = 24, what is x? (a) 12 (b) 6 (c) 3 (d) 2
  23. 23.If 2x − 1 = 5, what is x? (a) 3 (b) 6 (c) 2 (d) 4
  24. 24.If 8x − 17 = 63, what is x? (a) 10 (b) 80 (c) 9 (d) 11
  25. 25.If 5x − 57 = 18, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  26. 26.If 8x − 31 = 89, what is x? (a) 120 (b) 14 (c) 16 (d) 15
  27. 27.If 8x + 18 = 3x + 43, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  28. 28.If 4x + 15 = x + 36, what is x? (a) 9 (b) 17 (c) 7 (d) 8
  29. 29.If x/6 + 4 = 7, what is x? (a) 38 (b) 3 (c) 66 (d) 18
  30. 30.If 7x + 17 = 80, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  31. 31.If 7x + 2 = 51, what is x? (a) 8 (b) 7 (c) 49 (d) 6
  32. 32.If 7x + 17 = x + 23, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  33. 33.If 2x − 1 = 3, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  34. 34.If 5x + 15 = 90, what is x? (a) 16 (b) 15 (c) 21 (d) 75
  35. 35.If 7x + 9 = 114, what is x? (a) 16 (b) 14 (c) 15 (d) 105
  36. 36.If 2x + 19 = 29, what is x? (a) 24 (b) 6 (c) 5 (d) 10
  37. 37.If 9x + 12 = 57, what is x? (a) 6 (b) 45 (c) 5 (d) 4
  38. 38.If 3x − 2 = 13, what is x? (a) 4 (b) 15 (c) 6 (d) 5
  39. 39.If 9x − 82 = 44, what is x? (a) 15 (b) 126 (c) 13 (d) 14
  40. 40.If 6x + 21 = 63, what is x? (a) 8 (b) 14 (c) 42 (d) 7

Answer key

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

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