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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 653 · 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 8x + 30 = 46, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  2. 2.If x/5 + 2 = 7, what is x? (a) 25 (b) 5 (c) 33 (d) 45
  3. 3.If x/5 + 14 = 19, what is x? (a) 5 (b) 165 (c) 25 (d) 81
  4. 4.If 3x + 30 = 54, what is x? (a) 24 (b) 28 (c) 8 (d) 9
  5. 5.If 7x + 16 = 79, what is x? (a) 10 (b) 8 (c) 9 (d) 63
  6. 6.If 9x + 5 = 68, what is x? (a) 63 (b) 6 (c) 8 (d) 7
  7. 7.If 5x + 18 = 4x + 30, what is x? (a) 14 (b) 48 (c) 13 (d) 12
  8. 8.If 5x + 4 = x + 16, what is x? (a) 5 (b) 3 (c) 2 (d) 4
  9. 9.If x/4 + 13 = 17, what is x? (a) 16 (b) 120 (c) 4 (d) 55
  10. 10.If 8x + 2 = 4x + 14, what is x? (a) 4 (b) 3 (c) 5 (d) 1
  11. 11.If 7x + 14 = 5x + 30, what is x? (a) 10 (b) 22 (c) 9 (d) 8
  12. 12.If 9x + 1 = x + 65, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  13. 13.If x/5 + 11 = 14, what is x? (a) 15 (b) 3 (c) 59 (d) 125
  14. 14.If 6x − 56 = 4, what is x? (a) 11 (b) 10 (c) 60 (d) 9
  15. 15.If 8x + 25 = 89, what is x? (a) 9 (b) 64 (c) 7 (d) 8
  16. 16.If 9x − 15 = 39, what is x? (a) 54 (b) 5 (c) 6 (d) 7
  17. 17.If 8x + 17 = 5x + 47, what is x? (a) 9 (b) 11 (c) 12 (d) 10
  18. 18.If x/3 + 1 = 11, what is x? (a) 10 (b) 32 (c) 36 (d) 30
  19. 19.If 5x + 11 = x + 43, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  20. 20.If 7x − 8 = 6, what is x? (a) 1 (b) 2 (c) 3 (d) 14
  21. 21.If x/3 + 9 = 18, what is x? (a) 9 (b) 81 (c) 45 (d) 27
  22. 22.If x/2 + 3 = 6, what is x? (a) 9 (b) 3 (c) 18 (d) 6
  23. 23.If 8x + 18 = 5x + 48, what is x? (a) 11 (b) 22 (c) 12 (d) 10
  24. 24.If x/2 + 5 = 9, what is x? (a) 4 (b) 8 (c) 28 (d) 13
  25. 25.If 9x + 1 = 64, what is x? (a) 6 (b) 8 (c) 63 (d) 7
  26. 26.If 5x − 8 = 67, what is x? (a) 16 (b) 14 (c) 15 (d) 75
  27. 27.If x/5 + 12 = 24, what is x? (a) 12 (b) 180 (c) 108 (d) 60
  28. 28.If 2x + 6 = 32, what is x? (a) 19 (b) 26 (c) 14 (d) 13
  29. 29.If 7x + 26 = 131, what is x? (a) 16 (b) 14 (c) 105 (d) 15
  30. 30.If 9x + 9 = 99, what is x? (a) 90 (b) 10 (c) 12 (d) 11
  31. 31.If x/2 + 2 = 10, what is x? (a) 8 (b) 16 (c) 24 (d) 18
  32. 32.If 6x + 9 = 99, what is x? (a) 90 (b) 16 (c) 18 (d) 15
  33. 33.If 2x − 4 = 16, what is x? (a) 20 (b) 11 (c) 10 (d) 6
  34. 34.If 3x − 1 = 29, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  35. 35.If 7x + 6 = 6x + 8, what is x? (a) 14 (b) 2 (c) 3 (d) 4
  36. 36.If 4x + 9 = 21, what is x? (a) 4 (b) 12 (c) 3 (d) 2
  37. 37.If 8x + 14 = 5x + 17, what is x? (a) 2 (b) 1 (c) 3 (d) 4
  38. 38.If 4x + 11 = x + 47, what is x? (a) 11 (b) 12 (c) 14 (d) 13
  39. 39.If 2x + 6 = 20, what is x? (a) 8 (b) 7 (c) 13 (d) 14
  40. 40.If 2x − 9 = 11, what is x? (a) 10 (b) 11 (c) 20 (d) 1

Answer key

  1. 2
  2. 25
  3. 25
  4. 8
  5. 9
  6. 7
  7. 12
  8. 3
  9. 16
  10. 3
  11. 8
  12. 8
  13. 15
  14. 10
  15. 8
  16. 6
  17. 10
  18. 30
  19. 8
  20. 2
  21. 27
  22. 6
  23. 10
  24. 8
  25. 7
  26. 15
  27. 60
  28. 13
  29. 15
  30. 10
  31. 16
  32. 15
  33. 10
  34. 10
  35. 2
  36. 3
  37. 1
  38. 12
  39. 7
  40. 10

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