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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 799 · 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 x/2 + 15 = 23, what is x? (a) 16 (b) 31 (c) 76 (d) 8
  2. 2.If 6x + 6 = 18, what is x? (a) 12 (b) 4 (c) 3 (d) 2
  3. 3.If 3x − 7 = 8, what is x? (a) 6 (b) 5 (c) 15 (d) 4
  4. 4.If 6x + 17 = 59, what is x? (a) 42 (b) 6 (c) 7 (d) 8
  5. 5.If 4x + 28 = 52, what is x? (a) 20 (b) 7 (c) 6 (d) 24
  6. 6.If 2x + 23 = 43, what is x? (a) 33 (b) 20 (c) 10 (d) 11
  7. 7.If 5x + 29 = 69, what is x? (a) 8 (b) 40 (c) 7 (d) 9
  8. 8.If 4x + 16 = 3x + 20, what is x? (a) 36 (b) 4 (c) 5 (d) 6
  9. 9.If x/2 + 15 = 21, what is x? (a) 72 (b) 12 (c) 27 (d) 6
  10. 10.If 3x − 26 = 16, what is x? (a) 13 (b) 14 (c) 15 (d) 42
  11. 11.If 6x − 22 = 2, what is x? (a) 5 (b) 4 (c) 3 (d) 24
  12. 12.If x/5 + 1 = 8, what is x? (a) 39 (b) 45 (c) 7 (d) 35
  13. 13.If 8x + 20 = x + 97, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  14. 14.If 8x + 23 = 47, what is x? (a) 2 (b) 3 (c) 24 (d) 4
  15. 15.If 3x + 5 = 2x + 8, what is x? (a) 3 (b) 13 (c) 5 (d) 4
  16. 16.If 9x + 3 = 5x + 19, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  17. 17.If 8x − 9 = 55, what is x? (a) 9 (b) 8 (c) 7 (d) 64
  18. 18.If 8x + 27 = 51, what is x? (a) 24 (b) 4 (c) 2 (d) 3
  19. 19.If 4x + 21 = 69, what is x? (a) 48 (b) 13 (c) 12 (d) 11
  20. 20.If 7x + 6 = 104, what is x? (a) 13 (b) 98 (c) 14 (d) 15
  21. 21.If 8x + 1 = x + 29, what is x? (a) 3 (b) 4 (c) 6 (d) 5
  22. 22.If 8x + 16 = 64, what is x? (a) 7 (b) 48 (c) 10 (d) 6
  23. 23.If 5x − 9 = 11, what is x? (a) 4 (b) 20 (c) 3 (d) 5
  24. 24.If x/3 + 13 = 20, what is x? (a) 7 (b) 21 (c) 99 (d) 47
  25. 25.If 6x − 11 = 7, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  26. 26.If 8x + 19 = 91, what is x? (a) 9 (b) 72 (c) 8 (d) 10
  27. 27.If 5x + 1 = 2x + 34, what is x? (a) 11 (b) 10 (c) 12 (d) 13
  28. 28.If 5x + 4 = x + 12, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  29. 29.If x/4 + 11 = 16, what is x? (a) 53 (b) 5 (c) 20 (d) 108
  30. 30.If 9x + 17 = 53, what is x? (a) 5 (b) 4 (c) 36 (d) 3
  31. 31.If 5x − 48 = 27, what is x? (a) 14 (b) 16 (c) 15 (d) 75
  32. 32.If 4x + 20 = 3x + 28, what is x? (a) 9 (b) 48 (c) 8 (d) 10
  33. 33.If 9x − 2 = 43, what is x? (a) 4 (b) 45 (c) 5 (d) 6
  34. 34.If 4x + 1 = 13, what is x? (a) 12 (b) 2 (c) 3 (d) 4
  35. 35.If 3x − 7 = 5, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  36. 36.If 4x − 26 = 18, what is x? (a) 44 (b) 11 (c) 10 (d) 12
  37. 37.If 4x − 18 = 2, what is x? (a) 20 (b) 4 (c) 6 (d) 5
  38. 38.If 5x + 17 = 87, what is x? (a) 70 (b) 15 (c) 13 (d) 14
  39. 39.If x/6 + 1 = 4, what is x? (a) 30 (b) 18 (c) 3 (d) 23
  40. 40.If x/4 + 1 = 7, what is x? (a) 6 (b) 32 (c) 27 (d) 24

Answer key

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

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