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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 116 · 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 + 10 = 4x + 20, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  2. 2.If 4x − 12 = 24, what is x? (a) 10 (b) 9 (c) 36 (d) 3
  3. 3.If 2x − 11 = 9, what is x? (a) 20 (b) 11 (c) 9 (d) 10
  4. 4.If 3x + 17 = x + 41, what is x? (a) 13 (b) 6 (c) 12 (d) 29
  5. 5.If 8x + 4 = 20, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  6. 6.If x/4 + 7 = 14, what is x? (a) 84 (b) 49 (c) 28 (d) 7
  7. 7.If x/4 + 13 = 19, what is x? (a) 6 (b) 24 (c) 128 (d) 63
  8. 8.If 4x + 14 = 3x + 26, what is x? (a) 14 (b) 13 (c) 12 (d) 40
  9. 9.If 5x − 5 = 10, what is x? (a) 1 (b) 3 (c) 4 (d) 15
  10. 10.If 5x − 22 = 8, what is x? (a) 5 (b) 6 (c) 7 (d) 30
  11. 11.If 9x + 3 = x + 75, what is x? (a) 10 (b) 11 (c) 8 (d) 9
  12. 12.If 3x − 1 = 20, what is x? (a) 7 (b) 21 (c) 6 (d) 8
  13. 13.If 6x + 22 = 40, what is x? (a) 3 (b) 4 (c) 18 (d) 2
  14. 14.If 3x + 8 = 2x + 13, what is x? (a) 1 (b) 6 (c) 21 (d) 5
  15. 15.If 7x + 5 = 26, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  16. 16.If 7x + 22 = 57, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  17. 17.If x/3 + 3 = 12, what is x? (a) 9 (b) 45 (c) 33 (d) 27
  18. 18.If x/3 + 6 = 18, what is x? (a) 72 (b) 48 (c) 12 (d) 36
  19. 19.If 9x + 2 = 137, what is x? (a) 135 (b) 14 (c) 15 (d) 16
  20. 20.If 7x − 25 = 38, what is x? (a) 63 (b) 9 (c) 8 (d) 10
  21. 21.If 3x + 17 = 26, what is x? (a) 4 (b) 9 (c) 3 (d) 2
  22. 22.If 4x + 30 = 50, what is x? (a) 4 (b) 6 (c) 5 (d) 20
  23. 23.If 3x − 8 = 1, what is x? (a) 9 (b) 3 (c) 4 (d) 2
  24. 24.If x/5 + 5 = 10, what is x? (a) 75 (b) 5 (c) 25 (d) 45
  25. 25.If x/3 + 2 = 11, what is x? (a) 9 (b) 31 (c) 27 (d) 39
  26. 26.If 2x − 5 = 25, what is x? (a) 30 (b) 16 (c) 15 (d) 10
  27. 27.If 5x + 9 = 2x + 42, what is x? (a) 17 (b) 12 (c) 13 (d) 11
  28. 28.If x/5 + 15 = 21, what is x? (a) 6 (b) 180 (c) 30 (d) 90
  29. 29.If x/4 + 9 = 16, what is x? (a) 28 (b) 100 (c) 7 (d) 55
  30. 30.If 6x + 12 = 3x + 24, what is x? (a) 5 (b) 6 (c) 4 (d) 12
  31. 31.If 7x + 13 = 5x + 15, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  32. 32.If 6x + 13 = 5x + 25, what is x? (a) 12 (b) 38 (c) 14 (d) 13
  33. 33.If 2x + 16 = 30, what is x? (a) 7 (b) 8 (c) 14 (d) 23
  34. 34.If 2x + 20 = 46, what is x? (a) 33 (b) 14 (c) 13 (d) 26
  35. 35.If 3x + 15 = 51, what is x? (a) 22 (b) 36 (c) 13 (d) 12
  36. 36.If 2x − 3 = 27, what is x? (a) 12 (b) 15 (c) 30 (d) 16
  37. 37.If 4x + 16 = x + 46, what is x? (a) 11 (b) 6 (c) 12 (d) 10
  38. 38.If 9x + 19 = 118, what is x? (a) 11 (b) 12 (c) 99 (d) 10
  39. 39.If 3x − 27 = 3, what is x? (a) 9 (b) 11 (c) 30 (d) 10
  40. 40.If x/4 + 6 = 14, what is x? (a) 32 (b) 80 (c) 50 (d) 8

Answer key

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

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