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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 280 · 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 9x + 16 = 7x + 30, what is x? (a) 23 (b) 8 (c) 9 (d) 7
  2. 2.If x/5 + 2 = 11, what is x? (a) 65 (b) 45 (c) 53 (d) 9
  3. 3.If 4x − 38 = 22, what is x? (a) 15 (b) 14 (c) 60 (d) 16
  4. 4.If 3x − 4 = 5, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  5. 5.If 7x + 4 = 18, what is x? (a) 1 (b) 14 (c) 2 (d) 3
  6. 6.If x/6 + 6 = 18, what is x? (a) 12 (b) 144 (c) 102 (d) 72
  7. 7.If 4x − 56 = 4, what is x? (a) 16 (b) 15 (c) 60 (d) 14
  8. 8.If 4x − 26 = 2, what is x? (a) 6 (b) 8 (c) 7 (d) 28
  9. 9.If 3x + 6 = 51, what is x? (a) 16 (b) 45 (c) 15 (d) 19
  10. 10.If 7x + 19 = 6x + 25, what is x? (a) 8 (b) 7 (c) 44 (d) 6
  11. 11.If 4x + 12 = 3x + 13, what is x? (a) 1 (b) 2 (c) 25 (d) 3
  12. 12.If 5x + 7 = 37, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  13. 13.If x/4 + 5 = 7, what is x? (a) 2 (b) 8 (c) 23 (d) 48
  14. 14.If 6x + 3 = 4x + 5, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  15. 15.If 7x + 15 = 4x + 30, what is x? (a) 6 (b) 15 (c) 7 (d) 5
  16. 16.If x/6 + 14 = 26, what is x? (a) 142 (b) 240 (c) 72 (d) 12
  17. 17.If 3x + 7 = x + 27, what is x? (a) 17 (b) 10 (c) 11 (d) 5
  18. 18.If 3x + 7 = 22, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  19. 19.If 4x − 10 = 50, what is x? (a) 60 (b) 15 (c) 16 (d) 10
  20. 20.If x/6 + 10 = 13, what is x? (a) 138 (b) 68 (c) 18 (d) 3
  21. 21.If x/2 + 4 = 11, what is x? (a) 7 (b) 30 (c) 14 (d) 18
  22. 22.If 7x + 17 = 6x + 18, what is x? (a) 35 (b) 1 (c) 3 (d) 2
  23. 23.If 6x + 14 = 80, what is x? (a) 66 (b) 10 (c) 11 (d) 12
  24. 24.If 8x + 9 = 6x + 13, what is x? (a) 3 (b) 11 (c) 2 (d) 4
  25. 25.If 2x + 26 = 52, what is x? (a) 39 (b) 13 (c) 26 (d) 14
  26. 26.If x/4 + 7 = 13, what is x? (a) 6 (b) 45 (c) 24 (d) 80
  27. 27.If 5x + 5 = 40, what is x? (a) 9 (b) 35 (c) 7 (d) 8
  28. 28.If x/3 + 11 = 15, what is x? (a) 34 (b) 78 (c) 4 (d) 12
  29. 29.If 8x − 6 = 18, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  30. 30.If 7x + 18 = 32, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  31. 31.If x/3 + 2 = 7, what is x? (a) 5 (b) 15 (c) 19 (d) 27
  32. 32.If x/2 + 3 = 8, what is x? (a) 10 (b) 13 (c) 5 (d) 22
  33. 33.If 5x + 8 = 3x + 26, what is x? (a) 11 (b) 10 (c) 9 (d) 17
  34. 34.If 3x + 11 = x + 35, what is x? (a) 6 (b) 12 (c) 23 (d) 13
  35. 35.If x/5 + 10 = 15, what is x? (a) 25 (b) 65 (c) 125 (d) 5
  36. 36.If 9x − 18 = 36, what is x? (a) 6 (b) 54 (c) 7 (d) 2
  37. 37.If 6x + 5 = 83, what is x? (a) 12 (b) 78 (c) 14 (d) 13
  38. 38.If 5x − 66 = 4, what is x? (a) 14 (b) 70 (c) 15 (d) 13
  39. 39.If x/5 + 1 = 4, what is x? (a) 15 (b) 19 (c) 3 (d) 25
  40. 40.If 4x + 22 = 70, what is x? (a) 48 (b) 12 (c) 13 (d) 23

Answer key

  1. 7
  2. 45
  3. 15
  4. 3
  5. 2
  6. 72
  7. 15
  8. 7
  9. 15
  10. 6
  11. 1
  12. 6
  13. 8
  14. 1
  15. 5
  16. 72
  17. 10
  18. 5
  19. 15
  20. 18
  21. 14
  22. 1
  23. 11
  24. 2
  25. 13
  26. 24
  27. 7
  28. 12
  29. 3
  30. 2
  31. 15
  32. 10
  33. 9
  34. 12
  35. 25
  36. 6
  37. 13
  38. 14
  39. 15
  40. 12

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