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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 567 · 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 − 38 = 27, what is x? (a) 12 (b) 14 (c) 65 (d) 13
  2. 2.If 4x − 11 = 1, what is x? (a) 3 (b) 2 (c) 12 (d) 4
  3. 3.If 6x − 49 = 23, what is x? (a) 11 (b) 12 (c) 72 (d) 13
  4. 4.If 2x − 9 = 1, what is x? (a) 4 (b) 6 (c) 10 (d) 5
  5. 5.If 5x + 4 = 4x + 11, what is x? (a) 15 (b) 7 (c) 9 (d) 8
  6. 6.If x/5 + 6 = 10, what is x? (a) 80 (b) 20 (c) 4 (d) 44
  7. 7.If 3x + 3 = 12, what is x? (a) 4 (b) 9 (c) 5 (d) 3
  8. 8.If x/2 + 5 = 9, what is x? (a) 28 (b) 4 (c) 8 (d) 13
  9. 9.If 8x + 1 = 6x + 17, what is x? (a) 10 (b) 9 (c) 8 (d) 7
  10. 10.If 4x − 11 = 5, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  11. 11.If x/2 + 1 = 7, what is x? (a) 13 (b) 6 (c) 12 (d) 16
  12. 12.If x/2 + 13 = 18, what is x? (a) 5 (b) 62 (c) 23 (d) 10
  13. 13.If 5x + 6 = 4x + 10, what is x? (a) 16 (b) 5 (c) 4 (d) 6
  14. 14.If 5x + 23 = 43, what is x? (a) 3 (b) 5 (c) 4 (d) 20
  15. 15.If 5x − 4 = 61, what is x? (a) 65 (b) 12 (c) 14 (d) 13
  16. 16.If 3x − 2 = 19, what is x? (a) 21 (b) 6 (c) 8 (d) 7
  17. 17.If 5x + 18 = 58, what is x? (a) 40 (b) 7 (c) 8 (d) 9
  18. 18.If x/2 + 1 = 5, what is x? (a) 9 (b) 8 (c) 4 (d) 12
  19. 19.If x/4 + 1 = 6, what is x? (a) 23 (b) 20 (c) 5 (d) 28
  20. 20.If 5x + 2 = 2x + 11, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  21. 21.If x/5 + 15 = 22, what is x? (a) 185 (b) 7 (c) 95 (d) 35
  22. 22.If 6x − 12 = 12, what is x? (a) 4 (b) 5 (c) 24 (d) 3
  23. 23.If 2x + 29 = 57, what is x? (a) 14 (b) 43 (c) 15 (d) 28
  24. 24.If 7x + 7 = 2x + 52, what is x? (a) 10 (b) 11 (c) 5 (d) 9
  25. 25.If 3x + 6 = x + 16, what is x? (a) 7 (b) 5 (c) 6 (d) 11
  26. 26.If 3x − 2 = 16, what is x? (a) 18 (b) 6 (c) 7 (d) 5
  27. 27.If 3x − 32 = 13, what is x? (a) 14 (b) 16 (c) 15 (d) 45
  28. 28.If 4x − 6 = 2, what is x? (a) 8 (b) 3 (c) 2 (d) 1
  29. 29.If 9x + 13 = 6x + 25, what is x? (a) 5 (b) 3 (c) 4 (d) 6
  30. 30.If 8x + 15 = x + 85, what is x? (a) 11 (b) 10 (c) 9 (d) 12
  31. 31.If 5x − 9 = 26, what is x? (a) 35 (b) 6 (c) 7 (d) 8
  32. 32.If x/5 + 11 = 13, what is x? (a) 54 (b) 2 (c) 10 (d) 120
  33. 33.If 8x + 6 = 30, what is x? (a) 4 (b) 2 (c) 24 (d) 3
  34. 34.If 4x + 29 = 73, what is x? (a) 12 (b) 44 (c) 10 (d) 11
  35. 35.If 2x − 7 = 1, what is x? (a) 3 (b) 5 (c) 4 (d) 8
  36. 36.If 6x + 22 = 106, what is x? (a) 13 (b) 84 (c) 15 (d) 14
  37. 37.If x/5 + 15 = 23, what is x? (a) 100 (b) 40 (c) 8 (d) 190
  38. 38.If 8x + 24 = 104, what is x? (a) 80 (b) 11 (c) 16 (d) 10
  39. 39.If 7x + 8 = 36, what is x? (a) 5 (b) 3 (c) 28 (d) 4
  40. 40.If 5x + 16 = 3x + 32, what is x? (a) 2 (b) 24 (c) 9 (d) 8

Answer key

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

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