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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 363 · 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 + 10 = 45, what is x? (a) 7 (b) 8 (c) 11 (d) 35
  2. 2.If 4x + 5 = x + 11, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  3. 3.If 4x + 12 = 2x + 36, what is x? (a) 4 (b) 24 (c) 12 (d) 13
  4. 4.If 2x + 6 = 18, what is x? (a) 12 (b) 7 (c) 6 (d) 5
  5. 5.If 9x + 12 = 4x + 17, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  6. 6.If 6x + 29 = 41, what is x? (a) 2 (b) 12 (c) 3 (d) 1
  7. 7.If 4x + 21 = 57, what is x? (a) 10 (b) 9 (c) 8 (d) 36
  8. 8.If 9x − 9 = 9, what is x? (a) 3 (b) 2 (c) 1 (d) 18
  9. 9.If 3x + 14 = 2x + 24, what is x? (a) 10 (b) 11 (c) 38 (d) 2
  10. 10.If 3x + 14 = 29, what is x? (a) 15 (b) 5 (c) 6 (d) 4
  11. 11.If x/3 + 10 = 15, what is x? (a) 15 (b) 75 (c) 35 (d) 5
  12. 12.If x/4 + 1 = 11, what is x? (a) 40 (b) 43 (c) 48 (d) 10
  13. 13.If 8x + 8 = 5x + 29, what is x? (a) 6 (b) 9 (c) 8 (d) 7
  14. 14.If 6x − 15 = 9, what is x? (a) 24 (b) 5 (c) 3 (d) 4
  15. 15.If 8x − 65 = 15, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  16. 16.If 8x + 4 = 4x + 12, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  17. 17.If 7x + 2 = 6x + 10, what is x? (a) 12 (b) 9 (c) 10 (d) 8
  18. 18.If 5x + 16 = 46, what is x? (a) 30 (b) 7 (c) 5 (d) 6
  19. 19.If 9x − 58 = 68, what is x? (a) 13 (b) 15 (c) 14 (d) 126
  20. 20.If 5x − 4 = 21, what is x? (a) 4 (b) 25 (c) 5 (d) 6
  21. 21.If 4x − 43 = 13, what is x? (a) 15 (b) 14 (c) 13 (d) 56
  22. 22.If 4x + 3 = 3x + 8, what is x? (a) 5 (b) 6 (c) 7 (d) 11
  23. 23.If 9x + 19 = 109, what is x? (a) 11 (b) 9 (c) 10 (d) 90
  24. 24.If x/6 + 12 = 21, what is x? (a) 114 (b) 198 (c) 9 (d) 54
  25. 25.If 5x − 10 = 35, what is x? (a) 9 (b) 10 (c) 5 (d) 45
  26. 26.If x/5 + 6 = 9, what is x? (a) 15 (b) 39 (c) 3 (d) 75
  27. 27.If 6x + 26 = 62, what is x? (a) 36 (b) 6 (c) 5 (d) 7
  28. 28.If 7x + 27 = 48, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  29. 29.If x/5 + 15 = 21, what is x? (a) 90 (b) 180 (c) 6 (d) 30
  30. 30.If 3x + 17 = x + 29, what is x? (a) 7 (b) 23 (c) 6 (d) 3
  31. 31.If 3x − 7 = 2, what is x? (a) 3 (b) 9 (c) 4 (d) 2
  32. 32.If x/6 + 8 = 15, what is x? (a) 42 (b) 82 (c) 138 (d) 7
  33. 33.If 4x + 27 = 51, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  34. 34.If 5x + 8 = 2x + 41, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  35. 35.If 3x + 8 = 29, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  36. 36.If 7x − 39 = 17, what is x? (a) 9 (b) 56 (c) 8 (d) 7
  37. 37.If 6x + 11 = 47, what is x? (a) 7 (b) 6 (c) 5 (d) 36
  38. 38.If x/3 + 11 = 15, what is x? (a) 78 (b) 4 (c) 34 (d) 12
  39. 39.If 7x + 20 = 104, what is x? (a) 13 (b) 12 (c) 11 (d) 84
  40. 40.If 4x + 3 = 23, what is x? (a) 4 (b) 6 (c) 20 (d) 5

Answer key

  1. 7
  2. 2
  3. 12
  4. 6
  5. 1
  6. 2
  7. 9
  8. 2
  9. 10
  10. 5
  11. 15
  12. 40
  13. 7
  14. 4
  15. 10
  16. 2
  17. 8
  18. 6
  19. 14
  20. 5
  21. 14
  22. 5
  23. 10
  24. 54
  25. 9
  26. 15
  27. 6
  28. 3
  29. 30
  30. 6
  31. 3
  32. 42
  33. 6
  34. 11
  35. 7
  36. 8
  37. 6
  38. 12
  39. 12
  40. 5

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