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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 271 · 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 4x − 6 = 18, what is x? (a) 24 (b) 7 (c) 6 (d) 3
  2. 2.If 8x + 11 = x + 25, what is x? (a) 1 (b) 3 (c) 4 (d) 2
  3. 3.If 9x + 30 = 102, what is x? (a) 72 (b) 9 (c) 7 (d) 8
  4. 4.If 3x + 20 = x + 34, what is x? (a) 7 (b) 27 (c) 8 (d) 9
  5. 5.If 9x + 2 = 119, what is x? (a) 14 (b) 117 (c) 12 (d) 13
  6. 6.If 2x + 16 = 36, what is x? (a) 11 (b) 20 (c) 26 (d) 10
  7. 7.If 4x + 11 = 23, what is x? (a) 4 (b) 2 (c) 12 (d) 3
  8. 8.If 6x + 8 = 38, what is x? (a) 6 (b) 30 (c) 4 (d) 5
  9. 9.If 3x + 17 = 35, what is x? (a) 5 (b) 6 (c) 18 (d) 7
  10. 10.If x/5 + 4 = 10, what is x? (a) 70 (b) 6 (c) 30 (d) 46
  11. 11.If 2x − 2 = 26, what is x? (a) 28 (b) 12 (c) 14 (d) 15
  12. 12.If 7x + 30 = 107, what is x? (a) 10 (b) 77 (c) 11 (d) 12
  13. 13.If x/3 + 2 = 7, what is x? (a) 5 (b) 19 (c) 27 (d) 15
  14. 14.If x/2 + 12 = 15, what is x? (a) 3 (b) 18 (c) 6 (d) 54
  15. 15.If 8x + 7 = 111, what is x? (a) 104 (b) 12 (c) 14 (d) 13
  16. 16.If 9x − 52 = 65, what is x? (a) 14 (b) 12 (c) 117 (d) 13
  17. 17.If 9x + 5 = 6x + 20, what is x? (a) 6 (b) 1 (c) 5 (d) 7
  18. 18.If 8x + 18 = 3x + 78, what is x? (a) 13 (b) 12 (c) 14 (d) 11
  19. 19.If 6x + 3 = 4x + 9, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  20. 20.If x/4 + 5 = 15, what is x? (a) 55 (b) 80 (c) 10 (d) 40
  21. 21.If 3x + 11 = 29, what is x? (a) 7 (b) 6 (c) 18 (d) 5
  22. 22.If 9x + 22 = 148, what is x? (a) 13 (b) 15 (c) 14 (d) 126
  23. 23.If 9x + 15 = 2x + 43, what is x? (a) 5 (b) 3 (c) 6 (d) 4
  24. 24.If 3x + 14 = 23, what is x? (a) 4 (b) 3 (c) 9 (d) 2
  25. 25.If 6x − 17 = 1, what is x? (a) 2 (b) 4 (c) 18 (d) 3
  26. 26.If 6x + 9 = 87, what is x? (a) 16 (b) 78 (c) 14 (d) 13
  27. 27.If 3x − 5 = 10, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  28. 28.If 7x + 1 = 5x + 9, what is x? (a) 3 (b) 5 (c) 4 (d) 6
  29. 29.If 9x + 1 = 2x + 64, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  30. 30.If 3x + 19 = 64, what is x? (a) 16 (b) 45 (c) 15 (d) 14
  31. 31.If 8x + 3 = 5x + 33, what is x? (a) 12 (b) 9 (c) 10 (d) 11
  32. 32.If 7x + 19 = 96, what is x? (a) 77 (b) 11 (c) 12 (d) 10
  33. 33.If 6x + 1 = 2x + 21, what is x? (a) 6 (b) 5 (c) 7 (d) 4
  34. 34.If x/3 + 10 = 17, what is x? (a) 7 (b) 41 (c) 21 (d) 81
  35. 35.If 6x − 8 = 16, what is x? (a) 3 (b) 4 (c) 5 (d) 24
  36. 36.If 9x + 2 = 56, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  37. 37.If 2x − 10 = 4, what is x? (a) 6 (b) 14 (c) 7 (d) 8
  38. 38.If 5x + 20 = 2x + 56, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  39. 39.If x/4 + 5 = 8, what is x? (a) 52 (b) 27 (c) 3 (d) 12
  40. 40.If 3x + 5 = x + 29, what is x? (a) 12 (b) 17 (c) 13 (d) 6

Answer key

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

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