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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 545 · 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 − 2 = 19, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  2. 2.If x/3 + 5 = 10, what is x? (a) 45 (b) 25 (c) 5 (d) 15
  3. 3.If 5x + 12 = 37, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  4. 4.If 8x + 17 = 5x + 35, what is x? (a) 7 (b) 8 (c) 5 (d) 6
  5. 5.If 8x + 4 = 7x + 9, what is x? (a) 7 (b) 13 (c) 6 (d) 5
  6. 6.If 3x − 32 = 4, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  7. 7.If 8x + 7 = 7x + 11, what is x? (a) 6 (b) 4 (c) 18 (d) 5
  8. 8.If 5x + 13 = x + 25, what is x? (a) 2 (b) 5 (c) 4 (d) 3
  9. 9.If 4x + 18 = x + 36, what is x? (a) 8 (b) 18 (c) 7 (d) 6
  10. 10.If 9x + 26 = 71, what is x? (a) 6 (b) 4 (c) 45 (d) 5
  11. 11.If 9x + 9 = 99, what is x? (a) 90 (b) 11 (c) 10 (d) 12
  12. 12.If 4x + 14 = 46, what is x? (a) 32 (b) 9 (c) 15 (d) 8
  13. 13.If 9x + 29 = 65, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  14. 14.If 8x − 4 = 12, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  15. 15.If 9x + 11 = 7x + 27, what is x? (a) 9 (b) 19 (c) 8 (d) 1
  16. 16.If 9x + 9 = 4x + 24, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  17. 17.If 2x − 11 = 19, what is x? (a) 15 (b) 4 (c) 16 (d) 30
  18. 18.If x/4 + 1 = 3, what is x? (a) 11 (b) 8 (c) 2 (d) 16
  19. 19.If 5x − 3 = 12, what is x? (a) 15 (b) 4 (c) 2 (d) 3
  20. 20.If x/2 + 13 = 23, what is x? (a) 20 (b) 10 (c) 72 (d) 33
  21. 21.If 8x + 23 = 55, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  22. 22.If 5x + 16 = x + 44, what is x? (a) 8 (b) 9 (c) 7 (d) 15
  23. 23.If 3x + 2 = x + 10, what is x? (a) 4 (b) 2 (c) 5 (d) 6
  24. 24.If 8x + 1 = 2x + 13, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  25. 25.If 9x − 12 = 69, what is x? (a) 8 (b) 9 (c) 81 (d) 10
  26. 26.If x/2 + 4 = 11, what is x? (a) 14 (b) 7 (c) 30 (d) 18
  27. 27.If 7x − 13 = 15, what is x? (a) 5 (b) 4 (c) 28 (d) 3
  28. 28.If 8x − 19 = 5, what is x? (a) 24 (b) 2 (c) 4 (d) 3
  29. 29.If 4x + 12 = 32, what is x? (a) 5 (b) 20 (c) 11 (d) 6
  30. 30.If 7x + 2 = 72, what is x? (a) 11 (b) 9 (c) 10 (d) 70
  31. 31.If 5x − 5 = 70, what is x? (a) 75 (b) 13 (c) 16 (d) 15
  32. 32.If 6x + 8 = 4x + 22, what is x? (a) 7 (b) 8 (c) 15 (d) 9
  33. 33.If x/6 + 14 = 16, what is x? (a) 12 (b) 2 (c) 82 (d) 180
  34. 34.If 9x + 15 = 51, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  35. 35.If 6x + 16 = 106, what is x? (a) 14 (b) 90 (c) 15 (d) 16
  36. 36.If 4x + 28 = 64, what is x? (a) 10 (b) 9 (c) 36 (d) 23
  37. 37.If 9x + 18 = 63, what is x? (a) 5 (b) 45 (c) 6 (d) 9
  38. 38.If 7x − 20 = 50, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  39. 39.If x/4 + 15 = 18, what is x? (a) 132 (b) 57 (c) 12 (d) 3
  40. 40.If 9x + 3 = 7x + 13, what is x? (a) 7 (b) 5 (c) 8 (d) 6

Answer key

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

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