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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 759 · 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 5x + 18 = 3x + 22, what is x? (a) 3 (b) 20 (c) 2 (d) 4
  2. 2.If x/3 + 4 = 14, what is x? (a) 38 (b) 54 (c) 10 (d) 30
  3. 3.If 6x + 8 = x + 23, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  4. 4.If 2x + 2 = 32, what is x? (a) 15 (b) 30 (c) 17 (d) 16
  5. 5.If 3x + 21 = 39, what is x? (a) 20 (b) 7 (c) 6 (d) 18
  6. 6.If 5x + 3 = 4x + 9, what is x? (a) 8 (b) 12 (c) 7 (d) 6
  7. 7.If 5x + 7 = x + 15, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  8. 8.If x/5 + 5 = 9, what is x? (a) 4 (b) 40 (c) 70 (d) 20
  9. 9.If 7x − 30 = 54, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  10. 10.If 8x + 17 = 3x + 32, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  11. 11.If x/4 + 11 = 14, what is x? (a) 3 (b) 45 (c) 100 (d) 12
  12. 12.If 8x + 9 = 3x + 44, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  13. 13.If 7x − 16 = 47, what is x? (a) 9 (b) 63 (c) 8 (d) 10
  14. 14.If 8x − 48 = 16, what is x? (a) 9 (b) 8 (c) 64 (d) 7
  15. 15.If 2x − 26 = 4, what is x? (a) 30 (b) 16 (c) 14 (d) 15
  16. 16.If 4x + 10 = 3x + 21, what is x? (a) 12 (b) 13 (c) 11 (d) 31
  17. 17.If 4x + 13 = x + 28, what is x? (a) 7 (b) 6 (c) 3 (d) 5
  18. 18.If 5x + 4 = 4x + 6, what is x? (a) 3 (b) 10 (c) 2 (d) 4
  19. 19.If 3x + 3 = 48, what is x? (a) 15 (b) 45 (c) 17 (d) 16
  20. 20.If 8x − 47 = 17, what is x? (a) 64 (b) 8 (c) 7 (d) 9
  21. 21.If 2x − 2 = 2, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  22. 22.If 3x + 13 = x + 37, what is x? (a) 6 (b) 25 (c) 12 (d) 13
  23. 23.If x/3 + 10 = 21, what is x? (a) 33 (b) 93 (c) 11 (d) 53
  24. 24.If x/2 + 3 = 5, what is x? (a) 16 (b) 7 (c) 2 (d) 4
  25. 25.If x/4 + 4 = 9, what is x? (a) 20 (b) 5 (c) 32 (d) 52
  26. 26.If x/4 + 3 = 9, what is x? (a) 6 (b) 48 (c) 24 (d) 33
  27. 27.If 2x − 5 = 1, what is x? (a) 4 (b) 2 (c) 3 (d) 6
  28. 28.If 7x − 2 = 26, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  29. 29.If 4x + 20 = 2x + 44, what is x? (a) 32 (b) 12 (c) 13 (d) 4
  30. 30.If 6x + 14 = 4x + 26, what is x? (a) 20 (b) 6 (c) 7 (d) 8
  31. 31.If 5x − 4 = 11, what is x? (a) 3 (b) 2 (c) 4 (d) 15
  32. 32.If x/2 + 4 = 10, what is x? (a) 12 (b) 28 (c) 16 (d) 6
  33. 33.If 7x − 9 = 54, what is x? (a) 10 (b) 8 (c) 9 (d) 63
  34. 34.If 4x − 5 = 31, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  35. 35.If 3x − 3 = 18, what is x? (a) 8 (b) 21 (c) 5 (d) 7
  36. 36.If 4x + 13 = 2x + 19, what is x? (a) 4 (b) 1 (c) 16 (d) 3
  37. 37.If 3x + 6 = 24, what is x? (a) 7 (b) 18 (c) 10 (d) 6
  38. 38.If 5x + 29 = 44, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  39. 39.If 7x + 19 = 54, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  40. 40.If 5x + 4 = 69, what is x? (a) 14 (b) 65 (c) 13 (d) 12

Answer key

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

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