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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 608 · 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 − 14 = 1, what is x? (a) 15 (b) 4 (c) 5 (d) 6
  2. 2.If x/6 + 10 = 21, what is x? (a) 186 (b) 116 (c) 11 (d) 66
  3. 3.If 6x + 6 = 3x + 27, what is x? (a) 8 (b) 7 (c) 11 (d) 9
  4. 4.If 7x − 4 = 17, what is x? (a) 4 (b) 2 (c) 3 (d) 21
  5. 5.If 3x + 9 = 2x + 10, what is x? (a) 19 (b) 1 (c) 3 (d) 2
  6. 6.If 5x + 4 = x + 20, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  7. 7.If x/4 + 7 = 19, what is x? (a) 104 (b) 69 (c) 48 (d) 12
  8. 8.If 4x + 16 = 3x + 24, what is x? (a) 10 (b) 9 (c) 8 (d) 40
  9. 9.If 9x − 18 = 9, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  10. 10.If x/6 + 6 = 10, what is x? (a) 4 (b) 54 (c) 96 (d) 24
  11. 11.If x/4 + 14 = 20, what is x? (a) 66 (b) 6 (c) 24 (d) 136
  12. 12.If 2x + 15 = 21, what is x? (a) 4 (b) 3 (c) 18 (d) 6
  13. 13.If 2x − 9 = 1, what is x? (a) 10 (b) 5 (c) 6 (d) 4
  14. 14.If 3x − 4 = 2, what is x? (a) 6 (b) 1 (c) 3 (d) 2
  15. 15.If 3x + 3 = x + 23, what is x? (a) 10 (b) 11 (c) 5 (d) 13
  16. 16.If 8x + 14 = 38, what is x? (a) 2 (b) 24 (c) 3 (d) 4
  17. 17.If 8x − 32 = 8, what is x? (a) 4 (b) 6 (c) 5 (d) 40
  18. 18.If 4x − 3 = 29, what is x? (a) 32 (b) 7 (c) 8 (d) 9
  19. 19.If 7x + 2 = x + 14, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  20. 20.If 7x − 10 = 4, what is x? (a) 1 (b) 3 (c) 14 (d) 2
  21. 21.If 8x − 2 = 30, what is x? (a) 3 (b) 4 (c) 5 (d) 32
  22. 22.If 5x + 3 = 2x + 6, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  23. 23.If 7x + 17 = 45, what is x? (a) 3 (b) 4 (c) 5 (d) 28
  24. 24.If x/2 + 3 = 10, what is x? (a) 17 (b) 26 (c) 7 (d) 14
  25. 25.If x/6 + 4 = 13, what is x? (a) 9 (b) 74 (c) 54 (d) 102
  26. 26.If 5x + 3 = 53, what is x? (a) 10 (b) 9 (c) 11 (d) 50
  27. 27.If 5x + 6 = 26, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  28. 28.If x/5 + 2 = 4, what is x? (a) 2 (b) 10 (c) 30 (d) 18
  29. 29.If x/3 + 6 = 18, what is x? (a) 48 (b) 72 (c) 36 (d) 12
  30. 30.If x/3 + 4 = 16, what is x? (a) 12 (b) 60 (c) 36 (d) 44
  31. 31.If 2x − 1 = 11, what is x? (a) 7 (b) 6 (c) 5 (d) 12
  32. 32.If 2x − 10 = 2, what is x? (a) 5 (b) 7 (c) 6 (d) 12
  33. 33.If 3x + 14 = 20, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  34. 34.If 6x + 22 = 46, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  35. 35.If 9x − 34 = 56, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  36. 36.If x/5 + 10 = 13, what is x? (a) 115 (b) 55 (c) 3 (d) 15
  37. 37.If 6x + 3 = 81, what is x? (a) 13 (b) 78 (c) 14 (d) 12
  38. 38.If 3x − 39 = 3, what is x? (a) 42 (b) 13 (c) 14 (d) 15
  39. 39.If 6x − 26 = 10, what is x? (a) 36 (b) 6 (c) 7 (d) 5
  40. 40.If 4x + 29 = 37, what is x? (a) 8 (b) 1 (c) 2 (d) 3

Answer key

  1. 5
  2. 66
  3. 7
  4. 3
  5. 1
  6. 4
  7. 48
  8. 8
  9. 3
  10. 24
  11. 24
  12. 3
  13. 5
  14. 2
  15. 10
  16. 3
  17. 5
  18. 8
  19. 2
  20. 2
  21. 4
  22. 1
  23. 4
  24. 14
  25. 54
  26. 10
  27. 4
  28. 10
  29. 36
  30. 36
  31. 6
  32. 6
  33. 2
  34. 4
  35. 10
  36. 15
  37. 13
  38. 14
  39. 6
  40. 2

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