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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 740 · 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 + 8 = 53, what is x? (a) 15 (b) 14 (c) 16 (d) 45
  2. 2.If 7x − 19 = 9, what is x? (a) 3 (b) 5 (c) 4 (d) 28
  3. 3.If 6x + 8 = 68, what is x? (a) 60 (b) 11 (c) 10 (d) 9
  4. 4.If 3x − 4 = 14, what is x? (a) 6 (b) 5 (c) 18 (d) 7
  5. 5.If 9x − 2 = 88, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  6. 6.If 5x + 15 = 75, what is x? (a) 13 (b) 12 (c) 60 (d) 18
  7. 7.If x/2 + 3 = 9, what is x? (a) 15 (b) 24 (c) 6 (d) 12
  8. 8.If 8x − 66 = 14, what is x? (a) 9 (b) 80 (c) 10 (d) 11
  9. 9.If 4x + 14 = 3x + 21, what is x? (a) 8 (b) 1 (c) 35 (d) 7
  10. 10.If 5x − 4 = 41, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  11. 11.If 9x + 4 = x + 52, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  12. 12.If x/5 + 4 = 13, what is x? (a) 85 (b) 9 (c) 45 (d) 61
  13. 13.If x/5 + 15 = 25, what is x? (a) 10 (b) 50 (c) 110 (d) 200
  14. 14.If 8x + 7 = 6x + 29, what is x? (a) 11 (b) 18 (c) 12 (d) 13
  15. 15.If 3x − 30 = 12, what is x? (a) 14 (b) 13 (c) 15 (d) 42
  16. 16.If 6x + 23 = 47, what is x? (a) 3 (b) 5 (c) 24 (d) 4
  17. 17.If 6x − 51 = 9, what is x? (a) 9 (b) 10 (c) 60 (d) 11
  18. 18.If 3x + 4 = 2x + 10, what is x? (a) 14 (b) 7 (c) 6 (d) 8
  19. 19.If x/6 + 15 = 25, what is x? (a) 135 (b) 60 (c) 240 (d) 10
  20. 20.If 4x + 10 = x + 16, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  21. 21.If 8x + 3 = 91, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  22. 22.If x/5 + 2 = 8, what is x? (a) 6 (b) 30 (c) 38 (d) 50
  23. 23.If 5x − 1 = 19, what is x? (a) 5 (b) 4 (c) 20 (d) 3
  24. 24.If x/6 + 6 = 14, what is x? (a) 120 (b) 8 (c) 78 (d) 48
  25. 25.If 8x − 12 = 20, what is x? (a) 4 (b) 32 (c) 5 (d) 1
  26. 26.If x/3 + 5 = 15, what is x? (a) 30 (b) 60 (c) 10 (d) 40
  27. 27.If 7x + 18 = 2x + 23, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  28. 28.If x/6 + 10 = 13, what is x? (a) 18 (b) 3 (c) 138 (d) 68
  29. 29.If x/5 + 13 = 21, what is x? (a) 170 (b) 92 (c) 8 (d) 40
  30. 30.If 4x − 21 = 23, what is x? (a) 12 (b) 11 (c) 44 (d) 10
  31. 31.If 6x + 14 = 2x + 38, what is x? (a) 3 (b) 7 (c) 13 (d) 6
  32. 32.If 2x − 6 = 10, what is x? (a) 8 (b) 2 (c) 16 (d) 9
  33. 33.If x/3 + 9 = 12, what is x? (a) 3 (b) 9 (c) 27 (d) 63
  34. 34.If 5x − 3 = 12, what is x? (a) 3 (b) 2 (c) 15 (d) 4
  35. 35.If 3x + 27 = 51, what is x? (a) 9 (b) 8 (c) 24 (d) 26
  36. 36.If x/3 + 7 = 13, what is x? (a) 32 (b) 60 (c) 6 (d) 18
  37. 37.If 3x + 16 = 43, what is x? (a) 27 (b) 8 (c) 9 (d) 10
  38. 38.If 3x + 10 = x + 18, what is x? (a) 4 (b) 2 (c) 5 (d) 14
  39. 39.If 4x + 28 = 64, what is x? (a) 23 (b) 36 (c) 9 (d) 10
  40. 40.If 2x + 6 = 12, what is x? (a) 6 (b) 9 (c) 3 (d) 4

Answer key

  1. 15
  2. 4
  3. 10
  4. 6
  5. 10
  6. 12
  7. 12
  8. 10
  9. 7
  10. 9
  11. 6
  12. 45
  13. 50
  14. 11
  15. 14
  16. 4
  17. 10
  18. 6
  19. 60
  20. 2
  21. 11
  22. 30
  23. 4
  24. 48
  25. 4
  26. 30
  27. 1
  28. 18
  29. 40
  30. 11
  31. 6
  32. 8
  33. 9
  34. 3
  35. 8
  36. 18
  37. 9
  38. 4
  39. 9
  40. 3

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