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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 524 · 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 x/4 + 1 = 5, what is x? (a) 19 (b) 24 (c) 16 (d) 4
  2. 2.If 7x + 5 = 54, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  3. 3.If 2x + 18 = 44, what is x? (a) 31 (b) 26 (c) 13 (d) 14
  4. 4.If 6x − 24 = 6, what is x? (a) 5 (b) 4 (c) 30 (d) 6
  5. 5.If x/6 + 10 = 17, what is x? (a) 92 (b) 162 (c) 7 (d) 42
  6. 6.If 2x − 26 = 4, what is x? (a) 14 (b) 15 (c) 30 (d) 16
  7. 7.If 3x − 1 = 38, what is x? (a) 13 (b) 14 (c) 12 (d) 39
  8. 8.If x/2 + 13 = 24, what is x? (a) 22 (b) 11 (c) 74 (d) 35
  9. 9.If x/5 + 1 = 9, what is x? (a) 8 (b) 50 (c) 40 (d) 44
  10. 10.If 3x + 9 = 51, what is x? (a) 42 (b) 14 (c) 20 (d) 15
  11. 11.If 5x + 5 = 4x + 9, what is x? (a) 14 (b) 5 (c) 4 (d) 6
  12. 12.If x/6 + 2 = 5, what is x? (a) 3 (b) 18 (c) 42 (d) 28
  13. 13.If 5x + 16 = 36, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  14. 14.If 6x + 20 = 68, what is x? (a) 48 (b) 8 (c) 7 (d) 9
  15. 15.If x/6 + 1 = 5, what is x? (a) 36 (b) 29 (c) 24 (d) 4
  16. 16.If 3x + 17 = x + 35, what is x? (a) 9 (b) 11 (c) 26 (d) 10
  17. 17.If 4x + 7 = 2x + 17, what is x? (a) 6 (b) 5 (c) 7 (d) 12
  18. 18.If 9x − 22 = 14, what is x? (a) 36 (b) 3 (c) 5 (d) 4
  19. 19.If 6x + 8 = 74, what is x? (a) 66 (b) 12 (c) 11 (d) 10
  20. 20.If 2x + 22 = 48, what is x? (a) 13 (b) 14 (c) 26 (d) 35
  21. 21.If 4x + 8 = x + 23, what is x? (a) 5 (b) 7 (c) 6 (d) 3
  22. 22.If x/5 + 12 = 15, what is x? (a) 3 (b) 15 (c) 135 (d) 63
  23. 23.If 7x − 14 = 7, what is x? (a) 21 (b) 2 (c) 3 (d) 4
  24. 24.If 6x − 4 = 8, what is x? (a) 3 (b) 1 (c) 2 (d) 12
  25. 25.If x/3 + 8 = 12, what is x? (a) 4 (b) 28 (c) 60 (d) 12
  26. 26.If x/5 + 11 = 16, what is x? (a) 135 (b) 5 (c) 69 (d) 25
  27. 27.If 6x + 28 = 88, what is x? (a) 10 (b) 60 (c) 9 (d) 11
  28. 28.If 5x + 14 = 2x + 32, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  29. 29.If 2x + 6 = 30, what is x? (a) 12 (b) 13 (c) 18 (d) 24
  30. 30.If x/5 + 1 = 12, what is x? (a) 55 (b) 11 (c) 65 (d) 59
  31. 31.If 3x + 11 = 20, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  32. 32.If x/2 + 9 = 13, what is x? (a) 8 (b) 4 (c) 17 (d) 44
  33. 33.If x/5 + 14 = 16, what is x? (a) 66 (b) 10 (c) 150 (d) 2
  34. 34.If 4x + 18 = 26, what is x? (a) 2 (b) 11 (c) 8 (d) 3
  35. 35.If 5x + 3 = 18, what is x? (a) 4 (b) 2 (c) 15 (d) 3
  36. 36.If 2x + 9 = 21, what is x? (a) 15 (b) 6 (c) 7 (d) 12
  37. 37.If 6x + 2 = 38, what is x? (a) 5 (b) 7 (c) 6 (d) 36
  38. 38.If 6x − 39 = 3, what is x? (a) 6 (b) 42 (c) 8 (d) 7
  39. 39.If 5x + 10 = 4x + 13, what is x? (a) 5 (b) 4 (c) 23 (d) 3
  40. 40.If x/6 + 3 = 9, what is x? (a) 72 (b) 51 (c) 36 (d) 6

Answer key

  1. 16
  2. 7
  3. 13
  4. 5
  5. 42
  6. 15
  7. 13
  8. 22
  9. 40
  10. 14
  11. 4
  12. 18
  13. 4
  14. 8
  15. 24
  16. 9
  17. 5
  18. 4
  19. 11
  20. 13
  21. 5
  22. 15
  23. 3
  24. 2
  25. 12
  26. 25
  27. 10
  28. 6
  29. 12
  30. 55
  31. 3
  32. 8
  33. 10
  34. 2
  35. 3
  36. 6
  37. 6
  38. 7
  39. 3
  40. 36

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