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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 629 · 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 3x + 13 = 2x + 20, what is x? (a) 33 (b) 7 (c) 9 (d) 8
  2. 2.If x/6 + 9 = 16, what is x? (a) 150 (b) 7 (c) 87 (d) 42
  3. 3.If x/2 + 7 = 13, what is x? (a) 12 (b) 19 (c) 6 (d) 40
  4. 4.If 4x + 25 = 49, what is x? (a) 7 (b) 5 (c) 24 (d) 6
  5. 5.If 5x + 8 = 83, what is x? (a) 16 (b) 75 (c) 15 (d) 14
  6. 6.If 3x + 14 = 41, what is x? (a) 27 (b) 10 (c) 8 (d) 9
  7. 7.If 8x + 9 = 49, what is x? (a) 6 (b) 40 (c) 5 (d) 4
  8. 8.If 5x − 9 = 6, what is x? (a) 2 (b) 4 (c) 15 (d) 3
  9. 9.If 9x − 9 = 9, what is x? (a) 3 (b) 18 (c) 2 (d) 1
  10. 10.If 7x + 5 = 5x + 29, what is x? (a) 17 (b) 2 (c) 13 (d) 12
  11. 11.If 3x + 1 = 2x + 3, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  12. 12.If 3x − 5 = 25, what is x? (a) 9 (b) 10 (c) 30 (d) 11
  13. 13.If 2x + 21 = 29, what is x? (a) 8 (b) 25 (c) 5 (d) 4
  14. 14.If 3x − 8 = 22, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  15. 15.If x/4 + 15 = 18, what is x? (a) 132 (b) 12 (c) 3 (d) 57
  16. 16.If x/3 + 6 = 15, what is x? (a) 9 (b) 39 (c) 63 (d) 27
  17. 17.If 4x + 20 = x + 32, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  18. 18.If 7x − 34 = 1, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  19. 19.If 3x + 14 = 35, what is x? (a) 8 (b) 6 (c) 7 (d) 21
  20. 20.If 7x − 38 = 60, what is x? (a) 14 (b) 98 (c) 13 (d) 15
  21. 21.If 5x + 11 = 31, what is x? (a) 3 (b) 20 (c) 4 (d) 5
  22. 22.If 3x − 2 = 13, what is x? (a) 15 (b) 5 (c) 4 (d) 6
  23. 23.If 3x + 18 = 33, what is x? (a) 5 (b) 17 (c) 15 (d) 6
  24. 24.If 4x + 16 = x + 19, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  25. 25.If 9x + 18 = 4x + 38, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  26. 26.If 2x + 28 = 32, what is x? (a) 4 (b) 3 (c) 30 (d) 2
  27. 27.If 4x − 3 = 29, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  28. 28.If 4x − 2 = 38, what is x? (a) 9 (b) 40 (c) 10 (d) 11
  29. 29.If 3x − 8 = 10, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  30. 30.If x/6 + 1 = 3, what is x? (a) 24 (b) 17 (c) 2 (d) 12
  31. 31.If 4x + 30 = 62, what is x? (a) 9 (b) 8 (c) 23 (d) 32
  32. 32.If x/3 + 5 = 9, what is x? (a) 4 (b) 22 (c) 42 (d) 12
  33. 33.If 7x − 65 = 5, what is x? (a) 9 (b) 10 (c) 70 (d) 11
  34. 34.If 3x − 5 = 4, what is x? (a) 3 (b) 2 (c) 4 (d) 9
  35. 35.If 2x + 30 = 44, what is x? (a) 37 (b) 8 (c) 7 (d) 14
  36. 36.If x/6 + 2 = 13, what is x? (a) 11 (b) 66 (c) 76 (d) 90
  37. 37.If 2x − 21 = 3, what is x? (a) 24 (b) 12 (c) 13 (d) 11
  38. 38.If x/6 + 6 = 9, what is x? (a) 48 (b) 90 (c) 18 (d) 3
  39. 39.If x/4 + 2 = 5, what is x? (a) 3 (b) 28 (c) 18 (d) 12
  40. 40.If 6x + 7 = 3x + 34, what is x? (a) 11 (b) 10 (c) 3 (d) 9

Answer key

  1. 7
  2. 42
  3. 12
  4. 6
  5. 15
  6. 9
  7. 5
  8. 3
  9. 2
  10. 12
  11. 2
  12. 10
  13. 4
  14. 10
  15. 12
  16. 27
  17. 4
  18. 5
  19. 7
  20. 14
  21. 4
  22. 5
  23. 5
  24. 1
  25. 4
  26. 2
  27. 8
  28. 10
  29. 6
  30. 12
  31. 8
  32. 12
  33. 10
  34. 3
  35. 7
  36. 66
  37. 12
  38. 18
  39. 12
  40. 9

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