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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 664 · 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 6x + 10 = 64, what is x? (a) 9 (b) 8 (c) 54 (d) 10
  2. 2.If 7x + 16 = 6x + 20, what is x? (a) 36 (b) 5 (c) 4 (d) 6
  3. 3.If x/3 + 11 = 18, what is x? (a) 7 (b) 21 (c) 43 (d) 87
  4. 4.If 3x + 21 = 30, what is x? (a) 17 (b) 4 (c) 3 (d) 9
  5. 5.If 8x + 10 = 82, what is x? (a) 10 (b) 72 (c) 8 (d) 9
  6. 6.If 6x + 28 = 64, what is x? (a) 6 (b) 36 (c) 7 (d) 5
  7. 7.If 9x + 13 = 6x + 16, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  8. 8.If x/4 + 2 = 11, what is x? (a) 42 (b) 9 (c) 36 (d) 52
  9. 9.If x/5 + 4 = 6, what is x? (a) 26 (b) 2 (c) 50 (d) 10
  10. 10.If 3x + 24 = 42, what is x? (a) 7 (b) 18 (c) 6 (d) 22
  11. 11.If x/3 + 1 = 4, what is x? (a) 9 (b) 3 (c) 11 (d) 15
  12. 12.If x/2 + 3 = 11, what is x? (a) 8 (b) 19 (c) 16 (d) 28
  13. 13.If 4x + 22 = 54, what is x? (a) 8 (b) 19 (c) 9 (d) 32
  14. 14.If 6x − 5 = 37, what is x? (a) 7 (b) 6 (c) 42 (d) 8
  15. 15.If x/5 + 2 = 5, what is x? (a) 23 (b) 3 (c) 35 (d) 15
  16. 16.If 6x − 17 = 67, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  17. 17.If x/5 + 6 = 8, what is x? (a) 10 (b) 2 (c) 70 (d) 34
  18. 18.If 5x + 14 = 3x + 26, what is x? (a) 8 (b) 7 (c) 20 (d) 6
  19. 19.If 4x − 23 = 13, what is x? (a) 36 (b) 8 (c) 9 (d) 10
  20. 20.If x/3 + 14 = 17, what is x? (a) 3 (b) 37 (c) 93 (d) 9
  21. 21.If 7x + 26 = 131, what is x? (a) 105 (b) 15 (c) 16 (d) 14
  22. 22.If 3x − 1 = 20, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  23. 23.If x/3 + 5 = 7, what is x? (a) 36 (b) 6 (c) 2 (d) 16
  24. 24.If 7x + 12 = 5x + 34, what is x? (a) 11 (b) 13 (c) 23 (d) 12
  25. 25.If 3x − 8 = 4, what is x? (a) 5 (b) 4 (c) 3 (d) 12
  26. 26.If 6x + 16 = x + 71, what is x? (a) 10 (b) 11 (c) 12 (d) 13
  27. 27.If x/3 + 12 = 18, what is x? (a) 6 (b) 90 (c) 42 (d) 18
  28. 28.If 3x − 5 = 40, what is x? (a) 45 (b) 16 (c) 15 (d) 14
  29. 29.If 3x + 15 = 24, what is x? (a) 3 (b) 13 (c) 9 (d) 4
  30. 30.If 4x − 1 = 51, what is x? (a) 14 (b) 52 (c) 12 (d) 13
  31. 31.If 4x + 5 = 49, what is x? (a) 44 (b) 10 (c) 11 (d) 12
  32. 32.If 3x + 2 = 14, what is x? (a) 12 (b) 3 (c) 4 (d) 5
  33. 33.If 4x + 17 = 2x + 41, what is x? (a) 29 (b) 12 (c) 4 (d) 13
  34. 34.If 9x + 19 = x + 43, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  35. 35.If 8x + 19 = 6x + 27, what is x? (a) 6 (b) 4 (c) 5 (d) 23
  36. 36.If 4x + 13 = 2x + 21, what is x? (a) 5 (b) 6 (c) 4 (d) 17
  37. 37.If 7x + 30 = 107, what is x? (a) 10 (b) 11 (c) 77 (d) 12
  38. 38.If x/3 + 13 = 16, what is x? (a) 87 (b) 9 (c) 3 (d) 35
  39. 39.If 3x + 16 = 55, what is x? (a) 39 (b) 12 (c) 14 (d) 13
  40. 40.If 7x + 3 = x + 33, what is x? (a) 4 (b) 7 (c) 5 (d) 6

Answer key

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

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