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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 710 · 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 9x − 2 = 34, what is x? (a) 36 (b) 3 (c) 4 (d) 5
  2. 2.If 9x − 8 = 37, what is x? (a) 6 (b) 4 (c) 5 (d) 45
  3. 3.If 6x + 24 = 48, what is x? (a) 4 (b) 24 (c) 12 (d) 5
  4. 4.If x/4 + 8 = 13, what is x? (a) 20 (b) 44 (c) 5 (d) 84
  5. 5.If 9x − 19 = 35, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  6. 6.If 3x + 4 = x + 24, what is x? (a) 5 (b) 10 (c) 11 (d) 14
  7. 7.If 7x + 13 = 6x + 15, what is x? (a) 2 (b) 28 (c) 3 (d) 4
  8. 8.If 4x + 2 = 26, what is x? (a) 7 (b) 24 (c) 5 (d) 6
  9. 9.If x/4 + 11 = 22, what is x? (a) 132 (b) 44 (c) 77 (d) 11
  10. 10.If 4x + 20 = x + 23, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  11. 11.If 5x − 21 = 44, what is x? (a) 65 (b) 12 (c) 13 (d) 14
  12. 12.If 5x + 22 = 87, what is x? (a) 14 (b) 12 (c) 65 (d) 13
  13. 13.If 6x + 12 = x + 67, what is x? (a) 12 (b) 10 (c) 13 (d) 11
  14. 14.If 6x + 23 = 95, what is x? (a) 13 (b) 72 (c) 12 (d) 11
  15. 15.If 9x − 44 = 46, what is x? (a) 90 (b) 9 (c) 10 (d) 11
  16. 16.If 2x − 19 = 1, what is x? (a) 9 (b) 11 (c) 10 (d) 20
  17. 17.If 3x + 10 = x + 24, what is x? (a) 9 (b) 17 (c) 7 (d) 8
  18. 18.If 6x + 2 = 92, what is x? (a) 15 (b) 16 (c) 14 (d) 90
  19. 19.If 2x + 15 = 41, what is x? (a) 13 (b) 14 (c) 26 (d) 28
  20. 20.If 5x + 6 = x + 46, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  21. 21.If 8x + 20 = 5x + 38, what is x? (a) 5 (b) 8 (c) 7 (d) 6
  22. 22.If 3x + 10 = x + 30, what is x? (a) 20 (b) 10 (c) 5 (d) 11
  23. 23.If 3x + 2 = 35, what is x? (a) 11 (b) 12 (c) 33 (d) 10
  24. 24.If 5x + 19 = x + 67, what is x? (a) 12 (b) 8 (c) 14 (d) 13
  25. 25.If 8x − 73 = 15, what is x? (a) 10 (b) 11 (c) 12 (d) 88
  26. 26.If 3x + 6 = x + 10, what is x? (a) 3 (b) 1 (c) 2 (d) 8
  27. 27.If x/5 + 7 = 11, what is x? (a) 4 (b) 20 (c) 90 (d) 48
  28. 28.If 7x + 4 = x + 34, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  29. 29.If 7x + 12 = 2x + 52, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  30. 30.If 7x + 19 = 2x + 34, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  31. 31.If 9x + 7 = 52, what is x? (a) 45 (b) 6 (c) 5 (d) 4
  32. 32.If 8x + 26 = 58, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  33. 33.If 3x + 7 = 2x + 8, what is x? (a) 2 (b) 3 (c) 15 (d) 1
  34. 34.If 6x + 13 = 4x + 21, what is x? (a) 17 (b) 4 (c) 5 (d) 6
  35. 35.If 5x + 5 = 4x + 6, what is x? (a) 11 (b) 2 (c) 1 (d) 3
  36. 36.If x/5 + 3 = 5, what is x? (a) 2 (b) 22 (c) 40 (d) 10
  37. 37.If 8x + 16 = 104, what is x? (a) 15 (b) 12 (c) 88 (d) 11
  38. 38.If 2x + 3 = 7, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  39. 39.If 6x + 9 = 45, what is x? (a) 36 (b) 9 (c) 7 (d) 6
  40. 40.If 2x − 13 = 1, what is x? (a) 14 (b) 8 (c) 7 (d) 6

Answer key

  1. 4
  2. 5
  3. 4
  4. 20
  5. 6
  6. 10
  7. 2
  8. 6
  9. 44
  10. 1
  11. 13
  12. 13
  13. 11
  14. 12
  15. 10
  16. 10
  17. 7
  18. 15
  19. 13
  20. 10
  21. 6
  22. 10
  23. 11
  24. 12
  25. 11
  26. 2
  27. 20
  28. 5
  29. 8
  30. 3
  31. 5
  32. 4
  33. 1
  34. 4
  35. 1
  36. 10
  37. 11
  38. 2
  39. 6
  40. 7

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