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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 51 · 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 − 28 = 98, what is x? (a) 126 (b) 13 (c) 15 (d) 14
  2. 2.If 9x − 55 = 8, what is x? (a) 8 (b) 6 (c) 63 (d) 7
  3. 3.If x/4 + 15 = 23, what is x? (a) 8 (b) 77 (c) 152 (d) 32
  4. 4.If 3x − 2 = 16, what is x? (a) 5 (b) 18 (c) 7 (d) 6
  5. 5.If 6x + 11 = 2x + 31, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  6. 6.If 8x + 15 = 2x + 57, what is x? (a) 8 (b) 12 (c) 7 (d) 9
  7. 7.If 4x + 11 = 3x + 14, what is x? (a) 4 (b) 3 (c) 5 (d) 25
  8. 8.If 3x + 11 = 23, what is x? (a) 5 (b) 4 (c) 12 (d) 3
  9. 9.If 7x + 7 = 6x + 11, what is x? (a) 18 (b) 5 (c) 4 (d) 6
  10. 10.If 3x + 2 = 2x + 13, what is x? (a) 15 (b) 11 (c) 13 (d) 12
  11. 11.If 4x + 14 = 38, what is x? (a) 13 (b) 7 (c) 24 (d) 6
  12. 12.If 7x + 29 = 50, what is x? (a) 3 (b) 21 (c) 4 (d) 2
  13. 13.If 6x − 7 = 47, what is x? (a) 9 (b) 8 (c) 10 (d) 54
  14. 14.If x/4 + 8 = 18, what is x? (a) 10 (b) 40 (c) 104 (d) 64
  15. 15.If 9x + 16 = 34, what is x? (a) 18 (b) 1 (c) 3 (d) 2
  16. 16.If 5x − 14 = 46, what is x? (a) 60 (b) 12 (c) 11 (d) 13
  17. 17.If x/6 + 5 = 14, what is x? (a) 9 (b) 79 (c) 114 (d) 54
  18. 18.If x/2 + 13 = 18, what is x? (a) 5 (b) 23 (c) 10 (d) 62
  19. 19.If 6x + 2 = 2x + 42, what is x? (a) 10 (b) 12 (c) 5 (d) 11
  20. 20.If x/6 + 7 = 17, what is x? (a) 144 (b) 95 (c) 60 (d) 10
  21. 21.If 2x − 4 = 2, what is x? (a) 3 (b) 2 (c) 6 (d) 4
  22. 22.If 3x − 25 = 5, what is x? (a) 10 (b) 30 (c) 9 (d) 11
  23. 23.If 6x + 6 = 36, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  24. 24.If 6x + 23 = 71, what is x? (a) 7 (b) 48 (c) 8 (d) 9
  25. 25.If 4x + 17 = x + 26, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  26. 26.If 8x + 10 = 3x + 15, what is x? (a) 5 (b) 2 (c) 3 (d) 1
  27. 27.If 2x + 20 = 40, what is x? (a) 30 (b) 20 (c) 10 (d) 11
  28. 28.If 9x + 17 = 143, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  29. 29.If 3x − 25 = 11, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  30. 30.If 2x + 7 = 21, what is x? (a) 6 (b) 8 (c) 14 (d) 7
  31. 31.If 9x + 11 = x + 107, what is x? (a) 14 (b) 11 (c) 13 (d) 12
  32. 32.If 5x + 23 = 63, what is x? (a) 8 (b) 40 (c) 9 (d) 7
  33. 33.If 7x + 13 = x + 67, what is x? (a) 9 (b) 11 (c) 8 (d) 10
  34. 34.If x/3 + 11 = 14, what is x? (a) 3 (b) 9 (c) 75 (d) 31
  35. 35.If x/2 + 7 = 11, what is x? (a) 8 (b) 4 (c) 36 (d) 15
  36. 36.If x/3 + 12 = 19, what is x? (a) 7 (b) 21 (c) 45 (d) 93
  37. 37.If 9x + 20 = x + 76, what is x? (a) 9 (b) 8 (c) 7 (d) 12
  38. 38.If 4x + 13 = x + 28, what is x? (a) 5 (b) 7 (c) 3 (d) 6
  39. 39.If 8x − 5 = 67, what is x? (a) 72 (b) 8 (c) 9 (d) 10
  40. 40.If 3x − 36 = 3, what is x? (a) 12 (b) 13 (c) 14 (d) 39

Answer key

  1. 14
  2. 7
  3. 32
  4. 6
  5. 5
  6. 7
  7. 3
  8. 4
  9. 4
  10. 11
  11. 6
  12. 3
  13. 9
  14. 40
  15. 2
  16. 12
  17. 54
  18. 10
  19. 10
  20. 60
  21. 3
  22. 10
  23. 5
  24. 8
  25. 3
  26. 1
  27. 10
  28. 14
  29. 12
  30. 7
  31. 12
  32. 8
  33. 9
  34. 9
  35. 8
  36. 21
  37. 7
  38. 5
  39. 9
  40. 13

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