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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 354 · 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 7x + 4 = 32, what is x? (a) 3 (b) 28 (c) 4 (d) 5
  2. 2.If 5x + 13 = 88, what is x? (a) 75 (b) 14 (c) 15 (d) 16
  3. 3.If 8x + 10 = 6x + 22, what is x? (a) 16 (b) 8 (c) 7 (d) 6
  4. 4.If 6x + 14 = 80, what is x? (a) 11 (b) 10 (c) 66 (d) 12
  5. 5.If 6x + 17 = 2x + 53, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  6. 6.If 9x + 9 = 81, what is x? (a) 72 (b) 9 (c) 10 (d) 8
  7. 7.If x/2 + 2 = 10, what is x? (a) 16 (b) 8 (c) 24 (d) 18
  8. 8.If 5x + 9 = 19, what is x? (a) 3 (b) 10 (c) 1 (d) 2
  9. 9.If 6x − 8 = 10, what is x? (a) 4 (b) 18 (c) 2 (d) 3
  10. 10.If 7x + 3 = 108, what is x? (a) 105 (b) 15 (c) 16 (d) 14
  11. 11.If 7x + 11 = 74, what is x? (a) 63 (b) 8 (c) 9 (d) 10
  12. 12.If 6x + 4 = 5x + 9, what is x? (a) 6 (b) 7 (c) 5 (d) 13
  13. 13.If x/3 + 10 = 12, what is x? (a) 6 (b) 66 (c) 2 (d) 26
  14. 14.If 9x − 15 = 3, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  15. 15.If 5x + 1 = 46, what is x? (a) 9 (b) 45 (c) 8 (d) 10
  16. 16.If x/2 + 15 = 26, what is x? (a) 82 (b) 37 (c) 22 (d) 11
  17. 17.If 4x − 1 = 7, what is x? (a) 2 (b) 8 (c) 3 (d) 1
  18. 18.If 3x + 20 = x + 30, what is x? (a) 25 (b) 7 (c) 6 (d) 5
  19. 19.If x/2 + 6 = 14, what is x? (a) 22 (b) 40 (c) 16 (d) 8
  20. 20.If x/6 + 3 = 5, what is x? (a) 2 (b) 27 (c) 48 (d) 12
  21. 21.If x/4 + 12 = 21, what is x? (a) 132 (b) 72 (c) 36 (d) 9
  22. 22.If 9x + 23 = 149, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  23. 23.If 7x + 25 = 102, what is x? (a) 10 (b) 12 (c) 77 (d) 11
  24. 24.If 2x − 22 = 2, what is x? (a) 12 (b) 24 (c) 13 (d) 11
  25. 25.If x/2 + 5 = 10, what is x? (a) 15 (b) 30 (c) 10 (d) 5
  26. 26.If 9x − 28 = 62, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  27. 27.If x/4 + 1 = 4, what is x? (a) 20 (b) 15 (c) 3 (d) 12
  28. 28.If 9x − 15 = 66, what is x? (a) 9 (b) 8 (c) 10 (d) 81
  29. 29.If 4x − 6 = 10, what is x? (a) 16 (b) 4 (c) 1 (d) 5
  30. 30.If 4x + 28 = 40, what is x? (a) 3 (b) 4 (c) 12 (d) 17
  31. 31.If 9x − 21 = 87, what is x? (a) 11 (b) 108 (c) 12 (d) 13
  32. 32.If 9x + 5 = 59, what is x? (a) 7 (b) 5 (c) 6 (d) 54
  33. 33.If 4x + 13 = 57, what is x? (a) 44 (b) 10 (c) 12 (d) 11
  34. 34.If 3x − 7 = 5, what is x? (a) 12 (b) 3 (c) 4 (d) 5
  35. 35.If x/2 + 4 = 6, what is x? (a) 8 (b) 4 (c) 2 (d) 20
  36. 36.If 8x − 32 = 24, what is x? (a) 6 (b) 8 (c) 7 (d) 56
  37. 37.If 5x − 15 = 5, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  38. 38.If x/3 + 3 = 9, what is x? (a) 6 (b) 24 (c) 36 (d) 18
  39. 39.If 3x − 4 = 2, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  40. 40.If 9x + 3 = 6x + 18, what is x? (a) 7 (b) 6 (c) 1 (d) 5

Answer key

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

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