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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 561 · 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 2x + 13 = 25, what is x? (a) 12 (b) 7 (c) 19 (d) 6
  2. 2.If 8x − 83 = 5, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  3. 3.If 8x − 23 = 17, what is x? (a) 6 (b) 40 (c) 4 (d) 5
  4. 4.If 6x − 16 = 32, what is x? (a) 7 (b) 9 (c) 48 (d) 8
  5. 5.If x/6 + 4 = 7, what is x? (a) 3 (b) 66 (c) 38 (d) 18
  6. 6.If 4x + 4 = 44, what is x? (a) 10 (b) 11 (c) 12 (d) 40
  7. 7.If x/2 + 5 = 9, what is x? (a) 8 (b) 28 (c) 4 (d) 13
  8. 8.If 9x − 5 = 31, what is x? (a) 4 (b) 3 (c) 36 (d) 5
  9. 9.If 3x − 34 = 5, what is x? (a) 13 (b) 39 (c) 14 (d) 12
  10. 10.If x/4 + 3 = 12, what is x? (a) 45 (b) 60 (c) 9 (d) 36
  11. 11.If x/5 + 15 = 22, what is x? (a) 7 (b) 95 (c) 35 (d) 185
  12. 12.If x/3 + 12 = 20, what is x? (a) 24 (b) 48 (c) 96 (d) 8
  13. 13.If x/3 + 2 = 8, what is x? (a) 30 (b) 6 (c) 22 (d) 18
  14. 14.If 8x − 1 = 23, what is x? (a) 2 (b) 3 (c) 4 (d) 24
  15. 15.If 8x + 9 = 6x + 17, what is x? (a) 13 (b) 6 (c) 5 (d) 4
  16. 16.If 7x + 28 = 133, what is x? (a) 15 (b) 23 (c) 105 (d) 16
  17. 17.If 7x + 23 = 58, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  18. 18.If x/4 + 9 = 12, what is x? (a) 39 (b) 3 (c) 12 (d) 84
  19. 19.If 2x − 13 = 9, what is x? (a) 12 (b) 11 (c) 22 (d) 10
  20. 20.If 3x − 14 = 28, what is x? (a) 14 (b) 13 (c) 42 (d) 15
  21. 21.If 9x + 10 = 28, what is x? (a) 1 (b) 2 (c) 18 (d) 3
  22. 22.If 4x − 2 = 46, what is x? (a) 11 (b) 12 (c) 48 (d) 13
  23. 23.If 3x + 12 = 2x + 21, what is x? (a) 33 (b) 9 (c) 10 (d) 11
  24. 24.If 4x + 1 = 2x + 23, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  25. 25.If 8x + 29 = 45, what is x? (a) 2 (b) 1 (c) 3 (d) 16
  26. 26.If 2x − 2 = 14, what is x? (a) 16 (b) 9 (c) 6 (d) 8
  27. 27.If x/3 + 13 = 17, what is x? (a) 4 (b) 38 (c) 90 (d) 12
  28. 28.If 2x + 27 = 41, what is x? (a) 14 (b) 8 (c) 34 (d) 7
  29. 29.If 6x + 12 = 5x + 23, what is x? (a) 1 (b) 12 (c) 35 (d) 11
  30. 30.If x/6 + 3 = 12, what is x? (a) 9 (b) 90 (c) 54 (d) 69
  31. 31.If 4x + 1 = 3x + 6, what is x? (a) 5 (b) 6 (c) 7 (d) 4
  32. 32.If 2x + 2 = 32, what is x? (a) 30 (b) 17 (c) 16 (d) 15
  33. 33.If 7x − 13 = 43, what is x? (a) 8 (b) 7 (c) 9 (d) 56
  34. 34.If 8x + 13 = 117, what is x? (a) 13 (b) 12 (c) 14 (d) 104
  35. 35.If 8x + 1 = 41, what is x? (a) 40 (b) 5 (c) 4 (d) 6
  36. 36.If 5x + 26 = 46, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  37. 37.If 7x − 8 = 27, what is x? (a) 6 (b) 5 (c) 35 (d) 4
  38. 38.If 8x − 73 = 15, what is x? (a) 11 (b) 12 (c) 10 (d) 88
  39. 39.If 3x + 14 = 20, what is x? (a) 2 (b) 6 (c) 1 (d) 3
  40. 40.If 8x + 27 = 59, what is x? (a) 5 (b) 4 (c) 32 (d) 3

Answer key

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

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