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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 179 · 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 4x + 3 = x + 33, what is x? (a) 12 (b) 6 (c) 10 (d) 11
  2. 2.If 3x + 9 = 36, what is x? (a) 10 (b) 27 (c) 15 (d) 9
  3. 3.If 5x + 14 = 3x + 34, what is x? (a) 12 (b) 11 (c) 24 (d) 10
  4. 4.If x/6 + 2 = 6, what is x? (a) 34 (b) 4 (c) 48 (d) 24
  5. 5.If 7x − 43 = 41, what is x? (a) 12 (b) 11 (c) 13 (d) 84
  6. 6.If 4x + 16 = 3x + 23, what is x? (a) 1 (b) 39 (c) 8 (d) 7
  7. 7.If 4x − 2 = 6, what is x? (a) 3 (b) 2 (c) 8 (d) 1
  8. 8.If 9x + 20 = 8x + 30, what is x? (a) 11 (b) 10 (c) 50 (d) 12
  9. 9.If 9x − 34 = 20, what is x? (a) 5 (b) 7 (c) 6 (d) 54
  10. 10.If 8x + 14 = 5x + 47, what is x? (a) 10 (b) 12 (c) 13 (d) 11
  11. 11.If 3x + 10 = 40, what is x? (a) 30 (b) 10 (c) 9 (d) 11
  12. 12.If 6x − 64 = 2, what is x? (a) 66 (b) 12 (c) 10 (d) 11
  13. 13.If 8x + 15 = 55, what is x? (a) 6 (b) 4 (c) 40 (d) 5
  14. 14.If 9x + 5 = 140, what is x? (a) 16 (b) 135 (c) 14 (d) 15
  15. 15.If 9x + 19 = 8x + 28, what is x? (a) 47 (b) 10 (c) 11 (d) 9
  16. 16.If x/6 + 15 = 24, what is x? (a) 234 (b) 129 (c) 9 (d) 54
  17. 17.If 6x + 4 = x + 14, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  18. 18.If 8x + 4 = 2x + 64, what is x? (a) 6 (b) 11 (c) 10 (d) 12
  19. 19.If 4x + 2 = 3x + 8, what is x? (a) 6 (b) 8 (c) 10 (d) 7
  20. 20.If 9x + 16 = 106, what is x? (a) 9 (b) 11 (c) 10 (d) 90
  21. 21.If 4x + 17 = 53, what is x? (a) 9 (b) 8 (c) 10 (d) 36
  22. 22.If 4x + 7 = 47, what is x? (a) 40 (b) 10 (c) 9 (d) 11
  23. 23.If x/4 + 6 = 9, what is x? (a) 3 (b) 30 (c) 60 (d) 12
  24. 24.If 6x − 46 = 20, what is x? (a) 12 (b) 11 (c) 10 (d) 66
  25. 25.If x/4 + 8 = 14, what is x? (a) 24 (b) 88 (c) 6 (d) 48
  26. 26.If 6x + 18 = 2x + 42, what is x? (a) 15 (b) 6 (c) 7 (d) 3
  27. 27.If 2x + 28 = 50, what is x? (a) 12 (b) 39 (c) 11 (d) 22
  28. 28.If 3x + 25 = 37, what is x? (a) 3 (b) 4 (c) 12 (d) 5
  29. 29.If 6x − 2 = 34, what is x? (a) 7 (b) 5 (c) 6 (d) 36
  30. 30.If 5x + 17 = 42, what is x? (a) 25 (b) 5 (c) 6 (d) 4
  31. 31.If 8x + 1 = 57, what is x? (a) 7 (b) 6 (c) 56 (d) 8
  32. 32.If 3x + 2 = x + 4, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  33. 33.If 8x − 13 = 11, what is x? (a) 3 (b) 24 (c) 2 (d) 4
  34. 34.If 6x + 9 = 5x + 16, what is x? (a) 25 (b) 8 (c) 7 (d) 9
  35. 35.If 2x − 9 = 5, what is x? (a) 6 (b) 8 (c) 7 (d) 14
  36. 36.If 5x + 7 = 4x + 10, what is x? (a) 3 (b) 17 (c) 4 (d) 5
  37. 37.If 3x + 19 = 2x + 20, what is x? (a) 3 (b) 1 (c) 39 (d) 2
  38. 38.If 3x + 4 = 46, what is x? (a) 14 (b) 15 (c) 13 (d) 42
  39. 39.If 6x + 18 = 72, what is x? (a) 54 (b) 15 (c) 9 (d) 10
  40. 40.If 3x + 14 = 2x + 15, what is x? (a) 29 (b) 3 (c) 2 (d) 1

Answer key

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

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