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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 689 · 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 9x + 25 = 151, what is x? (a) 13 (b) 14 (c) 126 (d) 15
  2. 2.If 3x + 27 = 48, what is x? (a) 8 (b) 7 (c) 21 (d) 25
  3. 3.If 6x + 8 = 5x + 10, what is x? (a) 3 (b) 4 (c) 2 (d) 18
  4. 4.If 8x − 9 = 63, what is x? (a) 72 (b) 9 (c) 8 (d) 10
  5. 5.If x/2 + 4 = 12, what is x? (a) 32 (b) 20 (c) 16 (d) 8
  6. 6.If 4x − 15 = 21, what is x? (a) 10 (b) 36 (c) 9 (d) 8
  7. 7.If 4x + 3 = x + 6, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  8. 8.If 3x + 20 = 32, what is x? (a) 12 (b) 5 (c) 3 (d) 4
  9. 9.If x/4 + 15 = 21, what is x? (a) 144 (b) 24 (c) 69 (d) 6
  10. 10.If 2x + 28 = 36, what is x? (a) 4 (b) 5 (c) 32 (d) 8
  11. 11.If 4x + 25 = 73, what is x? (a) 11 (b) 48 (c) 13 (d) 12
  12. 12.If 2x − 4 = 12, what is x? (a) 8 (b) 9 (c) 16 (d) 4
  13. 13.If x/4 + 10 = 15, what is x? (a) 100 (b) 50 (c) 5 (d) 20
  14. 14.If 9x + 13 = 76, what is x? (a) 63 (b) 6 (c) 7 (d) 8
  15. 15.If 7x − 27 = 15, what is x? (a) 5 (b) 7 (c) 42 (d) 6
  16. 16.If 3x + 2 = x + 8, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  17. 17.If 8x + 3 = 67, what is x? (a) 7 (b) 64 (c) 8 (d) 9
  18. 18.If x/3 + 11 = 23, what is x? (a) 36 (b) 58 (c) 102 (d) 12
  19. 19.If 9x + 19 = x + 107, what is x? (a) 13 (b) 11 (c) 10 (d) 12
  20. 20.If 2x + 22 = 50, what is x? (a) 15 (b) 28 (c) 14 (d) 36
  21. 21.If 5x − 5 = 5, what is x? (a) 2 (b) 10 (c) 1 (d) 3
  22. 22.If x/4 + 15 = 23, what is x? (a) 32 (b) 152 (c) 8 (d) 77
  23. 23.If x/6 + 6 = 14, what is x? (a) 120 (b) 8 (c) 78 (d) 48
  24. 24.If 5x + 21 = 61, what is x? (a) 9 (b) 40 (c) 8 (d) 7
  25. 25.If 8x − 10 = 22, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  26. 26.If 6x + 8 = 62, what is x? (a) 10 (b) 8 (c) 54 (d) 9
  27. 27.If 6x + 11 = 95, what is x? (a) 15 (b) 13 (c) 84 (d) 14
  28. 28.If 3x + 15 = x + 27, what is x? (a) 21 (b) 7 (c) 6 (d) 3
  29. 29.If x/3 + 8 = 11, what is x? (a) 9 (b) 25 (c) 3 (d) 57
  30. 30.If 9x + 19 = 2x + 33, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  31. 31.If 6x − 49 = 23, what is x? (a) 11 (b) 12 (c) 13 (d) 72
  32. 32.If 8x + 6 = 3x + 51, what is x? (a) 11 (b) 9 (c) 8 (d) 10
  33. 33.If x/6 + 3 = 11, what is x? (a) 84 (b) 8 (c) 63 (d) 48
  34. 34.If 2x + 19 = 23, what is x? (a) 21 (b) 3 (c) 4 (d) 2
  35. 35.If x/4 + 12 = 20, what is x? (a) 32 (b) 68 (c) 128 (d) 8
  36. 36.If 9x + 28 = 154, what is x? (a) 14 (b) 126 (c) 15 (d) 13
  37. 37.If 9x + 5 = 104, what is x? (a) 11 (b) 12 (c) 10 (d) 99
  38. 38.If 3x + 11 = x + 19, what is x? (a) 5 (b) 15 (c) 2 (d) 4
  39. 39.If 5x − 3 = 42, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  40. 40.If 6x + 18 = x + 23, what is x? (a) 1 (b) 4 (c) 3 (d) 2

Answer key

  1. 14
  2. 7
  3. 2
  4. 9
  5. 16
  6. 9
  7. 1
  8. 4
  9. 24
  10. 4
  11. 12
  12. 8
  13. 20
  14. 7
  15. 6
  16. 3
  17. 8
  18. 36
  19. 11
  20. 14
  21. 2
  22. 32
  23. 48
  24. 8
  25. 4
  26. 9
  27. 14
  28. 6
  29. 9
  30. 2
  31. 12
  32. 9
  33. 48
  34. 2
  35. 32
  36. 14
  37. 11
  38. 4
  39. 9
  40. 1

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