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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 210 · 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 6x + 10 = 88, what is x? (a) 12 (b) 13 (c) 78 (d) 14
  2. 2.If 2x + 1 = 7, what is x? (a) 3 (b) 2 (c) 6 (d) 4
  3. 3.If 4x + 22 = 70, what is x? (a) 23 (b) 13 (c) 12 (d) 48
  4. 4.If x/4 + 2 = 5, what is x? (a) 28 (b) 18 (c) 3 (d) 12
  5. 5.If x/3 + 15 = 19, what is x? (a) 42 (b) 12 (c) 4 (d) 102
  6. 6.If x/2 + 7 = 12, what is x? (a) 5 (b) 17 (c) 38 (d) 10
  7. 7.If 5x + 4 = 2x + 19, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  8. 8.If 6x + 13 = 5x + 15, what is x? (a) 3 (b) 28 (c) 2 (d) 4
  9. 9.If 5x + 28 = 88, what is x? (a) 12 (b) 11 (c) 60 (d) 13
  10. 10.If 3x + 10 = 2x + 13, what is x? (a) 23 (b) 5 (c) 4 (d) 3
  11. 11.If 3x + 17 = 2x + 29, what is x? (a) 12 (b) 46 (c) 13 (d) 14
  12. 12.If 4x + 13 = 41, what is x? (a) 6 (b) 8 (c) 28 (d) 7
  13. 13.If 2x − 7 = 21, what is x? (a) 14 (b) 7 (c) 15 (d) 28
  14. 14.If 6x + 15 = 39, what is x? (a) 4 (b) 9 (c) 24 (d) 5
  15. 15.If 2x − 9 = 5, what is x? (a) 6 (b) 7 (c) 8 (d) 14
  16. 16.If x/6 + 5 = 11, what is x? (a) 6 (b) 61 (c) 36 (d) 96
  17. 17.If x/3 + 4 = 7, what is x? (a) 9 (b) 3 (c) 17 (d) 33
  18. 18.If 5x − 68 = 2, what is x? (a) 14 (b) 13 (c) 15 (d) 70
  19. 19.If 9x + 14 = 2x + 21, what is x? (a) 5 (b) 1 (c) 3 (d) 2
  20. 20.If x/2 + 8 = 16, what is x? (a) 48 (b) 24 (c) 8 (d) 16
  21. 21.If 2x − 19 = 1, what is x? (a) 20 (b) 10 (c) 9 (d) 11
  22. 22.If 3x − 1 = 14, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  23. 23.If 5x + 6 = 56, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  24. 24.If 8x + 26 = 66, what is x? (a) 40 (b) 5 (c) 6 (d) 4
  25. 25.If 5x + 5 = 4x + 15, what is x? (a) 10 (b) 11 (c) 12 (d) 20
  26. 26.If 2x + 11 = 25, what is x? (a) 18 (b) 14 (c) 8 (d) 7
  27. 27.If 3x − 4 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 6
  28. 28.If 9x + 7 = 52, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  29. 29.If 5x + 26 = 46, what is x? (a) 5 (b) 4 (c) 3 (d) 20
  30. 30.If 5x + 11 = 3x + 27, what is x? (a) 9 (b) 2 (c) 8 (d) 19
  31. 31.If x/4 + 10 = 15, what is x? (a) 100 (b) 5 (c) 20 (d) 50
  32. 32.If 5x + 21 = 66, what is x? (a) 8 (b) 10 (c) 9 (d) 45
  33. 33.If 9x + 8 = 6x + 44, what is x? (a) 11 (b) 13 (c) 14 (d) 12
  34. 34.If 3x + 10 = 28, what is x? (a) 6 (b) 7 (c) 5 (d) 18
  35. 35.If x/3 + 14 = 22, what is x? (a) 24 (b) 108 (c) 8 (d) 52
  36. 36.If 5x + 6 = 4x + 10, what is x? (a) 4 (b) 16 (c) 5 (d) 6
  37. 37.If 9x + 4 = 2x + 11, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  38. 38.If x/5 + 4 = 10, what is x? (a) 46 (b) 30 (c) 70 (d) 6
  39. 39.If 3x − 2 = 40, what is x? (a) 14 (b) 42 (c) 13 (d) 15
  40. 40.If 3x + 3 = x + 27, what is x? (a) 6 (b) 13 (c) 12 (d) 15

Answer key

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

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