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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 375 · 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 + 24 = 80, what is x? (a) 56 (b) 13 (c) 7 (d) 8
  2. 2.If 5x + 28 = 83, what is x? (a) 11 (b) 10 (c) 12 (d) 55
  3. 3.If 9x − 14 = 13, what is x? (a) 3 (b) 27 (c) 4 (d) 2
  4. 4.If 4x + 20 = x + 32, what is x? (a) 6 (b) 3 (c) 4 (d) 5
  5. 5.If 4x + 9 = 33, what is x? (a) 6 (b) 5 (c) 7 (d) 24
  6. 6.If x/5 + 9 = 11, what is x? (a) 46 (b) 100 (c) 10 (d) 2
  7. 7.If 7x + 13 = 90, what is x? (a) 11 (b) 12 (c) 10 (d) 77
  8. 8.If 8x + 3 = 91, what is x? (a) 10 (b) 11 (c) 88 (d) 12
  9. 9.If 2x + 25 = 55, what is x? (a) 40 (b) 16 (c) 30 (d) 15
  10. 10.If x/2 + 4 = 6, what is x? (a) 20 (b) 4 (c) 8 (d) 2
  11. 11.If 2x + 14 = 24, what is x? (a) 19 (b) 10 (c) 5 (d) 6
  12. 12.If 2x + 25 = 31, what is x? (a) 28 (b) 6 (c) 4 (d) 3
  13. 13.If x/3 + 5 = 7, what is x? (a) 36 (b) 2 (c) 6 (d) 16
  14. 14.If 8x + 18 = 3x + 33, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  15. 15.If 5x + 11 = 3x + 15, what is x? (a) 13 (b) 4 (c) 3 (d) 2
  16. 16.If 4x + 14 = 46, what is x? (a) 8 (b) 15 (c) 9 (d) 32
  17. 17.If 7x + 17 = 3x + 45, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  18. 18.If 7x + 11 = 2x + 31, what is x? (a) 6 (b) 5 (c) 4 (d) 3
  19. 19.If 8x + 26 = 98, what is x? (a) 72 (b) 8 (c) 10 (d) 9
  20. 20.If 5x + 11 = 2x + 41, what is x? (a) 9 (b) 12 (c) 11 (d) 10
  21. 21.If 5x + 15 = 25, what is x? (a) 8 (b) 2 (c) 3 (d) 10
  22. 22.If 3x − 14 = 19, what is x? (a) 33 (b) 11 (c) 12 (d) 10
  23. 23.If x/2 + 5 = 11, what is x? (a) 32 (b) 12 (c) 6 (d) 17
  24. 24.If 9x − 131 = 4, what is x? (a) 135 (b) 14 (c) 15 (d) 16
  25. 25.If 9x − 16 = 2, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  26. 26.If 9x − 19 = 98, what is x? (a) 12 (b) 13 (c) 14 (d) 117
  27. 27.If x/4 + 1 = 6, what is x? (a) 5 (b) 23 (c) 20 (d) 28
  28. 28.If 8x + 14 = 38, what is x? (a) 3 (b) 2 (c) 24 (d) 4
  29. 29.If 2x + 23 = 31, what is x? (a) 4 (b) 27 (c) 8 (d) 5
  30. 30.If 6x + 22 = 94, what is x? (a) 12 (b) 72 (c) 13 (d) 11
  31. 31.If x/5 + 1 = 3, what is x? (a) 20 (b) 2 (c) 14 (d) 10
  32. 32.If x/4 + 14 = 23, what is x? (a) 9 (b) 148 (c) 78 (d) 36
  33. 33.If 4x + 26 = 42, what is x? (a) 16 (b) 5 (c) 17 (d) 4
  34. 34.If x/2 + 8 = 18, what is x? (a) 20 (b) 28 (c) 10 (d) 52
  35. 35.If 4x + 22 = 66, what is x? (a) 22 (b) 12 (c) 44 (d) 11
  36. 36.If x/4 + 12 = 20, what is x? (a) 128 (b) 68 (c) 32 (d) 8
  37. 37.If 8x + 9 = 5x + 36, what is x? (a) 15 (b) 10 (c) 9 (d) 11
  38. 38.If 8x − 45 = 27, what is x? (a) 72 (b) 9 (c) 8 (d) 10
  39. 39.If 7x + 24 = 94, what is x? (a) 10 (b) 11 (c) 9 (d) 70
  40. 40.If 6x + 2 = 4x + 6, what is x? (a) 2 (b) 4 (c) 3 (d) 1

Answer key

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

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