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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 310 · 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 5x − 33 = 22, what is x? (a) 11 (b) 12 (c) 10 (d) 55
  2. 2.If 8x + 6 = 46, what is x? (a) 5 (b) 40 (c) 4 (d) 6
  3. 3.If 7x + 18 = 116, what is x? (a) 13 (b) 15 (c) 14 (d) 98
  4. 4.If 6x + 3 = 2x + 47, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  5. 5.If x/3 + 11 = 13, what is x? (a) 72 (b) 6 (c) 28 (d) 2
  6. 6.If 7x − 48 = 50, what is x? (a) 15 (b) 14 (c) 13 (d) 98
  7. 7.If x/4 + 1 = 3, what is x? (a) 16 (b) 2 (c) 11 (d) 8
  8. 8.If 5x + 19 = x + 23, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  9. 9.If 6x − 13 = 65, what is x? (a) 78 (b) 12 (c) 14 (d) 13
  10. 10.If 3x + 5 = 50, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  11. 11.If 6x + 19 = x + 69, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  12. 12.If x/6 + 7 = 9, what is x? (a) 2 (b) 47 (c) 12 (d) 96
  13. 13.If 7x + 13 = 48, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  14. 14.If 3x + 29 = 65, what is x? (a) 12 (b) 11 (c) 36 (d) 13
  15. 15.If 8x − 22 = 18, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  16. 16.If 5x + 12 = 3x + 26, what is x? (a) 8 (b) 9 (c) 7 (d) 19
  17. 17.If 7x − 51 = 33, what is x? (a) 11 (b) 12 (c) 13 (d) 84
  18. 18.If 5x − 18 = 7, what is x? (a) 5 (b) 4 (c) 25 (d) 6
  19. 19.If x/6 + 4 = 11, what is x? (a) 42 (b) 7 (c) 90 (d) 62
  20. 20.If 9x + 10 = 100, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  21. 21.If 2x + 4 = 8, what is x? (a) 2 (b) 6 (c) 3 (d) 4
  22. 22.If 9x + 16 = 142, what is x? (a) 13 (b) 15 (c) 126 (d) 14
  23. 23.If 2x − 5 = 21, what is x? (a) 8 (b) 26 (c) 14 (d) 13
  24. 24.If 5x + 20 = 45, what is x? (a) 25 (b) 6 (c) 13 (d) 5
  25. 25.If 6x + 17 = 29, what is x? (a) 1 (b) 12 (c) 2 (d) 3
  26. 26.If 2x − 15 = 9, what is x? (a) 11 (b) 24 (c) 13 (d) 12
  27. 27.If 9x + 1 = x + 49, what is x? (a) 5 (b) 7 (c) 8 (d) 6
  28. 28.If 5x + 16 = 2x + 25, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  29. 29.If 9x − 19 = 80, what is x? (a) 10 (b) 11 (c) 99 (d) 12
  30. 30.If x/5 + 8 = 10, what is x? (a) 42 (b) 10 (c) 2 (d) 90
  31. 31.If x/3 + 8 = 14, what is x? (a) 34 (b) 66 (c) 6 (d) 18
  32. 32.If x/5 + 2 = 12, what is x? (a) 70 (b) 50 (c) 10 (d) 58
  33. 33.If 7x + 20 = 55, what is x? (a) 35 (b) 6 (c) 4 (d) 5
  34. 34.If x/4 + 13 = 20, what is x? (a) 7 (b) 132 (c) 67 (d) 28
  35. 35.If x/3 + 5 = 16, what is x? (a) 63 (b) 11 (c) 33 (d) 43
  36. 36.If 3x + 8 = 38, what is x? (a) 11 (b) 30 (c) 9 (d) 10
  37. 37.If 2x + 23 = 27, what is x? (a) 2 (b) 25 (c) 4 (d) 3
  38. 38.If 5x − 17 = 28, what is x? (a) 10 (b) 8 (c) 9 (d) 45
  39. 39.If 4x + 17 = 25, what is x? (a) 8 (b) 3 (c) 1 (d) 2
  40. 40.If x/2 + 5 = 14, what is x? (a) 9 (b) 23 (c) 38 (d) 18

Answer key

  1. 11
  2. 5
  3. 14
  4. 11
  5. 6
  6. 14
  7. 8
  8. 1
  9. 13
  10. 15
  11. 10
  12. 12
  13. 5
  14. 12
  15. 5
  16. 7
  17. 12
  18. 5
  19. 42
  20. 10
  21. 2
  22. 14
  23. 13
  24. 5
  25. 2
  26. 12
  27. 6
  28. 3
  29. 11
  30. 10
  31. 18
  32. 50
  33. 5
  34. 28
  35. 33
  36. 10
  37. 2
  38. 9
  39. 2
  40. 18

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