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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 239 · 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 + 30 = 45, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  2. 2.If 4x + 8 = 56, what is x? (a) 12 (b) 16 (c) 13 (d) 48
  3. 3.If x/4 + 2 = 11, what is x? (a) 9 (b) 52 (c) 42 (d) 36
  4. 4.If x/3 + 15 = 24, what is x? (a) 57 (b) 117 (c) 9 (d) 27
  5. 5.If 6x − 28 = 14, what is x? (a) 8 (b) 42 (c) 6 (d) 7
  6. 6.If x/5 + 10 = 18, what is x? (a) 8 (b) 40 (c) 140 (d) 80
  7. 7.If 9x − 42 = 48, what is x? (a) 90 (b) 9 (c) 11 (d) 10
  8. 8.If 4x − 19 = 37, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  9. 9.If 9x + 29 = 155, what is x? (a) 14 (b) 126 (c) 15 (d) 13
  10. 10.If 8x + 19 = 4x + 31, what is x? (a) 4 (b) 5 (c) 1 (d) 3
  11. 11.If 5x + 2 = 77, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  12. 12.If 7x − 45 = 53, what is x? (a) 15 (b) 13 (c) 14 (d) 98
  13. 13.If 8x + 29 = 125, what is x? (a) 96 (b) 13 (c) 12 (d) 11
  14. 14.If x/3 + 4 = 15, what is x? (a) 57 (b) 33 (c) 41 (d) 11
  15. 15.If 6x + 7 = 61, what is x? (a) 54 (b) 9 (c) 8 (d) 10
  16. 16.If 6x + 10 = 46, what is x? (a) 5 (b) 36 (c) 7 (d) 6
  17. 17.If x/6 + 14 = 19, what is x? (a) 30 (b) 198 (c) 100 (d) 5
  18. 18.If 6x + 1 = 5x + 2, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  19. 19.If 8x + 5 = 109, what is x? (a) 14 (b) 12 (c) 104 (d) 13
  20. 20.If x/3 + 12 = 24, what is x? (a) 108 (b) 36 (c) 60 (d) 12
  21. 21.If 8x − 13 = 3, what is x? (a) 3 (b) 2 (c) 16 (d) 1
  22. 22.If 8x − 112 = 8, what is x? (a) 15 (b) 14 (c) 16 (d) 120
  23. 23.If 5x + 17 = x + 57, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  24. 24.If 4x + 14 = 26, what is x? (a) 4 (b) 10 (c) 3 (d) 12
  25. 25.If x/3 + 9 = 14, what is x? (a) 33 (b) 69 (c) 15 (d) 5
  26. 26.If 6x + 9 = 87, what is x? (a) 13 (b) 16 (c) 14 (d) 78
  27. 27.If 9x + 8 = 71, what is x? (a) 8 (b) 7 (c) 6 (d) 63
  28. 28.If x/6 + 4 = 9, what is x? (a) 30 (b) 5 (c) 50 (d) 78
  29. 29.If 6x − 5 = 55, what is x? (a) 9 (b) 60 (c) 10 (d) 11
  30. 30.If 9x + 26 = 107, what is x? (a) 8 (b) 81 (c) 10 (d) 9
  31. 31.If x/5 + 7 = 9, what is x? (a) 38 (b) 10 (c) 80 (d) 2
  32. 32.If 6x + 13 = 91, what is x? (a) 78 (b) 12 (c) 14 (d) 13
  33. 33.If 4x − 46 = 6, what is x? (a) 52 (b) 13 (c) 14 (d) 12
  34. 34.If 9x + 18 = 4x + 23, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  35. 35.If 6x − 64 = 8, what is x? (a) 13 (b) 72 (c) 11 (d) 12
  36. 36.If 4x − 46 = 14, what is x? (a) 15 (b) 14 (c) 60 (d) 16
  37. 37.If 5x − 53 = 17, what is x? (a) 14 (b) 13 (c) 70 (d) 15
  38. 38.If 8x + 12 = 108, what is x? (a) 12 (b) 15 (c) 96 (d) 13
  39. 39.If 4x + 4 = 2x + 10, what is x? (a) 7 (b) 3 (c) 4 (d) 1
  40. 40.If 9x + 10 = 109, what is x? (a) 12 (b) 10 (c) 11 (d) 99

Answer key

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

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