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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 579 · 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 7x + 20 = x + 74, what is x? (a) 10 (b) 11 (c) 9 (d) 8
  2. 2.If 6x + 11 = 4x + 17, what is x? (a) 14 (b) 5 (c) 4 (d) 3
  3. 3.If x/5 + 2 = 5, what is x? (a) 3 (b) 23 (c) 35 (d) 15
  4. 4.If 4x + 16 = 76, what is x? (a) 60 (b) 15 (c) 23 (d) 16
  5. 5.If 8x − 20 = 12, what is x? (a) 4 (b) 3 (c) 5 (d) 32
  6. 6.If 8x + 10 = 3x + 35, what is x? (a) 9 (b) 5 (c) 6 (d) 7
  7. 7.If 3x + 12 = 57, what is x? (a) 45 (b) 15 (c) 23 (d) 16
  8. 8.If 7x + 18 = 67, what is x? (a) 49 (b) 6 (c) 7 (d) 8
  9. 9.If 2x − 3 = 23, what is x? (a) 14 (b) 10 (c) 13 (d) 26
  10. 10.If x/4 + 11 = 14, what is x? (a) 12 (b) 3 (c) 100 (d) 45
  11. 11.If 9x + 15 = 5x + 27, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  12. 12.If x/4 + 14 = 18, what is x? (a) 4 (b) 16 (c) 58 (d) 128
  13. 13.If 4x + 14 = 3x + 16, what is x? (a) 3 (b) 4 (c) 2 (d) 30
  14. 14.If 5x + 16 = x + 32, what is x? (a) 4 (b) 6 (c) 5 (d) 12
  15. 15.If 8x − 34 = 86, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  16. 16.If x/2 + 14 = 20, what is x? (a) 6 (b) 68 (c) 12 (d) 26
  17. 17.If 2x − 27 = 3, what is x? (a) 14 (b) 16 (c) 30 (d) 15
  18. 18.If 7x − 13 = 85, what is x? (a) 15 (b) 13 (c) 14 (d) 98
  19. 19.If 7x − 12 = 16, what is x? (a) 28 (b) 3 (c) 4 (d) 5
  20. 20.If 9x + 1 = 8x + 3, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  21. 21.If 8x + 12 = 84, what is x? (a) 9 (b) 72 (c) 10 (d) 12
  22. 22.If x/5 + 5 = 14, what is x? (a) 65 (b) 9 (c) 45 (d) 95
  23. 23.If 5x + 5 = 50, what is x? (a) 45 (b) 11 (c) 9 (d) 10
  24. 24.If 4x + 7 = 59, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  25. 25.If 2x − 5 = 9, what is x? (a) 14 (b) 2 (c) 8 (d) 7
  26. 26.If 9x + 15 = 6x + 21, what is x? (a) 3 (b) 4 (c) 12 (d) 2
  27. 27.If 6x + 5 = 89, what is x? (a) 15 (b) 13 (c) 14 (d) 84
  28. 28.If 3x + 12 = 2x + 16, what is x? (a) 28 (b) 4 (c) 5 (d) 6
  29. 29.If 9x − 10 = 98, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  30. 30.If 9x + 7 = 133, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  31. 31.If 5x + 30 = 55, what is x? (a) 5 (b) 25 (c) 6 (d) 17
  32. 32.If 3x − 22 = 8, what is x? (a) 10 (b) 30 (c) 9 (d) 11
  33. 33.If 7x − 38 = 25, what is x? (a) 10 (b) 63 (c) 9 (d) 8
  34. 34.If 7x + 6 = 34, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  35. 35.If 3x + 27 = 42, what is x? (a) 6 (b) 15 (c) 23 (d) 5
  36. 36.If x/3 + 14 = 17, what is x? (a) 93 (b) 3 (c) 9 (d) 37
  37. 37.If 6x − 23 = 1, what is x? (a) 4 (b) 3 (c) 5 (d) 24
  38. 38.If x/5 + 6 = 13, what is x? (a) 7 (b) 59 (c) 95 (d) 35
  39. 39.If 4x + 3 = 55, what is x? (a) 52 (b) 14 (c) 13 (d) 12
  40. 40.If x/5 + 11 = 20, what is x? (a) 155 (b) 45 (c) 9 (d) 89

Answer key

  1. 9
  2. 3
  3. 15
  4. 15
  5. 4
  6. 5
  7. 15
  8. 7
  9. 13
  10. 12
  11. 3
  12. 16
  13. 2
  14. 4
  15. 15
  16. 12
  17. 15
  18. 14
  19. 4
  20. 2
  21. 9
  22. 45
  23. 9
  24. 13
  25. 7
  26. 2
  27. 14
  28. 4
  29. 12
  30. 14
  31. 5
  32. 10
  33. 9
  34. 4
  35. 5
  36. 9
  37. 4
  38. 35
  39. 13
  40. 45

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