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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 783 · 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 + 13 = x + 19, what is x? (a) 16 (b) 4 (c) 3 (d) 5
  2. 2.If x/2 + 14 = 26, what is x? (a) 80 (b) 12 (c) 38 (d) 24
  3. 3.If 8x + 6 = 7x + 7, what is x? (a) 2 (b) 13 (c) 3 (d) 1
  4. 4.If 7x − 42 = 56, what is x? (a) 14 (b) 98 (c) 2 (d) 15
  5. 5.If 5x + 15 = 2x + 24, what is x? (a) 13 (b) 5 (c) 4 (d) 3
  6. 6.If 7x − 18 = 3, what is x? (a) 21 (b) 2 (c) 3 (d) 4
  7. 7.If 4x + 8 = 2x + 28, what is x? (a) 12 (b) 11 (c) 18 (d) 10
  8. 8.If 3x + 28 = 58, what is x? (a) 9 (b) 30 (c) 10 (d) 11
  9. 9.If 6x − 1 = 71, what is x? (a) 13 (b) 72 (c) 12 (d) 11
  10. 10.If 3x + 14 = 2x + 23, what is x? (a) 37 (b) 11 (c) 10 (d) 9
  11. 11.If 4x − 28 = 24, what is x? (a) 12 (b) 52 (c) 14 (d) 13
  12. 12.If 2x + 17 = 43, what is x? (a) 14 (b) 30 (c) 13 (d) 26
  13. 13.If x/3 + 15 = 21, what is x? (a) 48 (b) 6 (c) 18 (d) 108
  14. 14.If 7x + 15 = 50, what is x? (a) 4 (b) 5 (c) 35 (d) 6
  15. 15.If 6x − 1 = 11, what is x? (a) 1 (b) 3 (c) 12 (d) 2
  16. 16.If x/4 + 3 = 5, what is x? (a) 32 (b) 2 (c) 8 (d) 17
  17. 17.If 4x − 57 = 3, what is x? (a) 14 (b) 60 (c) 16 (d) 15
  18. 18.If 5x + 10 = 75, what is x? (a) 14 (b) 65 (c) 13 (d) 17
  19. 19.If 2x − 5 = 1, what is x? (a) 3 (b) 2 (c) 6 (d) 4
  20. 20.If 7x + 14 = 91, what is x? (a) 77 (b) 11 (c) 12 (d) 15
  21. 21.If x/2 + 13 = 22, what is x? (a) 9 (b) 31 (c) 70 (d) 18
  22. 22.If 3x + 14 = x + 36, what is x? (a) 13 (b) 12 (c) 11 (d) 25
  23. 23.If x/2 + 14 = 18, what is x? (a) 22 (b) 8 (c) 4 (d) 64
  24. 24.If 5x + 3 = 3x + 7, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  25. 25.If 3x + 2 = x + 6, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  26. 26.If 4x − 2 = 6, what is x? (a) 8 (b) 2 (c) 1 (d) 3
  27. 27.If x/3 + 11 = 18, what is x? (a) 43 (b) 7 (c) 21 (d) 87
  28. 28.If 5x + 8 = x + 36, what is x? (a) 11 (b) 9 (c) 7 (d) 8
  29. 29.If 3x + 20 = 38, what is x? (a) 6 (b) 5 (c) 7 (d) 18
  30. 30.If x/2 + 2 = 5, what is x? (a) 3 (b) 14 (c) 6 (d) 8
  31. 31.If 6x + 5 = 41, what is x? (a) 36 (b) 6 (c) 5 (d) 7
  32. 32.If 5x + 8 = 4x + 12, what is x? (a) 4 (b) 20 (c) 6 (d) 5
  33. 33.If 9x + 10 = 3x + 40, what is x? (a) 4 (b) 6 (c) 5 (d) 7
  34. 34.If 2x − 2 = 8, what is x? (a) 3 (b) 10 (c) 5 (d) 6
  35. 35.If 4x + 14 = 2x + 30, what is x? (a) 9 (b) 22 (c) 8 (d) 10
  36. 36.If 6x + 3 = 5x + 10, what is x? (a) 7 (b) 9 (c) 8 (d) 13
  37. 37.If 3x + 29 = 62, what is x? (a) 10 (b) 11 (c) 12 (d) 33
  38. 38.If 9x − 80 = 19, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  39. 39.If x/5 + 4 = 12, what is x? (a) 56 (b) 40 (c) 8 (d) 80
  40. 40.If 2x + 19 = 25, what is x? (a) 22 (b) 6 (c) 3 (d) 4

Answer key

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

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