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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 563 · 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 + 11 = 6x + 12, what is x? (a) 1 (b) 3 (c) 2 (d) 23
  2. 2.If x/2 + 11 = 17, what is x? (a) 12 (b) 23 (c) 6 (d) 56
  3. 3.If 2x − 8 = 10, what is x? (a) 18 (b) 1 (c) 9 (d) 10
  4. 4.If 3x + 21 = 57, what is x? (a) 12 (b) 36 (c) 13 (d) 26
  5. 5.If 2x + 15 = 31, what is x? (a) 9 (b) 16 (c) 8 (d) 23
  6. 6.If x/6 + 7 = 17, what is x? (a) 144 (b) 10 (c) 60 (d) 95
  7. 7.If 6x + 16 = 5x + 21, what is x? (a) 37 (b) 7 (c) 5 (d) 6
  8. 8.If x/3 + 12 = 16, what is x? (a) 4 (b) 12 (c) 36 (d) 84
  9. 9.If 6x + 8 = 80, what is x? (a) 12 (b) 72 (c) 11 (d) 13
  10. 10.If 7x + 1 = 5x + 3, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  11. 11.If x/6 + 2 = 12, what is x? (a) 10 (b) 70 (c) 84 (d) 60
  12. 12.If 4x + 28 = 76, what is x? (a) 48 (b) 13 (c) 26 (d) 12
  13. 13.If x/4 + 5 = 16, what is x? (a) 11 (b) 44 (c) 84 (d) 59
  14. 14.If 6x + 26 = 44, what is x? (a) 4 (b) 2 (c) 18 (d) 3
  15. 15.If 5x + 6 = 4x + 14, what is x? (a) 8 (b) 9 (c) 20 (d) 10
  16. 16.If 8x + 11 = 43, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  17. 17.If 3x + 12 = x + 28, what is x? (a) 4 (b) 20 (c) 8 (d) 9
  18. 18.If 8x + 26 = 66, what is x? (a) 6 (b) 5 (c) 4 (d) 40
  19. 19.If 5x + 22 = 67, what is x? (a) 9 (b) 10 (c) 45 (d) 8
  20. 20.If 7x + 7 = 35, what is x? (a) 28 (b) 6 (c) 5 (d) 4
  21. 21.If 2x − 8 = 4, what is x? (a) 7 (b) 6 (c) 12 (d) 5
  22. 22.If 9x − 11 = 79, what is x? (a) 10 (b) 9 (c) 11 (d) 90
  23. 23.If 4x + 4 = x + 25, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  24. 24.If x/4 + 2 = 8, what is x? (a) 6 (b) 40 (c) 24 (d) 30
  25. 25.If x/4 + 6 = 8, what is x? (a) 26 (b) 8 (c) 56 (d) 2
  26. 26.If 4x + 19 = 27, what is x? (a) 1 (b) 2 (c) 3 (d) 8
  27. 27.If 8x − 5 = 35, what is x? (a) 5 (b) 6 (c) 4 (d) 40
  28. 28.If 6x + 6 = 18, what is x? (a) 4 (b) 3 (c) 12 (d) 2
  29. 29.If 7x + 15 = 43, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  30. 30.If 7x + 26 = 75, what is x? (a) 8 (b) 6 (c) 7 (d) 49
  31. 31.If 9x + 3 = 21, what is x? (a) 18 (b) 1 (c) 2 (d) 3
  32. 32.If 4x + 7 = 3x + 11, what is x? (a) 18 (b) 6 (c) 5 (d) 4
  33. 33.If 7x + 30 = 51, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  34. 34.If 7x − 1 = 27, what is x? (a) 4 (b) 3 (c) 5 (d) 28
  35. 35.If x/6 + 2 = 5, what is x? (a) 3 (b) 18 (c) 28 (d) 42
  36. 36.If 5x + 10 = x + 54, what is x? (a) 16 (b) 12 (c) 11 (d) 13
  37. 37.If 3x − 1 = 23, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  38. 38.If 5x + 26 = 86, what is x? (a) 11 (b) 13 (c) 12 (d) 60
  39. 39.If 8x + 1 = 33, what is x? (a) 32 (b) 5 (c) 3 (d) 4
  40. 40.If 4x − 10 = 2, what is x? (a) 2 (b) 12 (c) 3 (d) 4

Answer key

  1. 1
  2. 12
  3. 9
  4. 12
  5. 8
  6. 60
  7. 5
  8. 12
  9. 12
  10. 1
  11. 60
  12. 12
  13. 44
  14. 3
  15. 8
  16. 4
  17. 8
  18. 5
  19. 9
  20. 4
  21. 6
  22. 10
  23. 7
  24. 24
  25. 8
  26. 2
  27. 5
  28. 2
  29. 4
  30. 7
  31. 2
  32. 4
  33. 3
  34. 4
  35. 18
  36. 11
  37. 8
  38. 12
  39. 4
  40. 3

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