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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 703 · 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 + 2 = 34, what is x? (a) 4 (b) 32 (c) 3 (d) 5
  2. 2.If 6x + 11 = 5x + 14, what is x? (a) 3 (b) 25 (c) 5 (d) 4
  3. 3.If 4x + 18 = 2x + 32, what is x? (a) 7 (b) 9 (c) 25 (d) 8
  4. 4.If x/4 + 13 = 18, what is x? (a) 124 (b) 59 (c) 20 (d) 5
  5. 5.If 5x + 9 = x + 17, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  6. 6.If 9x + 19 = 82, what is x? (a) 6 (b) 63 (c) 8 (d) 7
  7. 7.If x/2 + 8 = 14, what is x? (a) 6 (b) 44 (c) 20 (d) 12
  8. 8.If 3x + 12 = 24, what is x? (a) 4 (b) 12 (c) 3 (d) 5
  9. 9.If 3x − 20 = 7, what is x? (a) 10 (b) 27 (c) 9 (d) 8
  10. 10.If x/3 + 1 = 5, what is x? (a) 4 (b) 14 (c) 12 (d) 18
  11. 11.If x/2 + 14 = 20, what is x? (a) 26 (b) 12 (c) 68 (d) 6
  12. 12.If 6x + 18 = 3x + 36, what is x? (a) 7 (b) 2 (c) 6 (d) 18
  13. 13.If 7x − 7 = 28, what is x? (a) 3 (b) 5 (c) 35 (d) 6
  14. 14.If 5x + 6 = 81, what is x? (a) 75 (b) 16 (c) 14 (d) 15
  15. 15.If 2x + 6 = 28, what is x? (a) 17 (b) 12 (c) 11 (d) 22
  16. 16.If 7x + 2 = 2x + 42, what is x? (a) 8 (b) 7 (c) 9 (d) 10
  17. 17.If 2x − 4 = 2, what is x? (a) 4 (b) 2 (c) 3 (d) 6
  18. 18.If 5x + 15 = 2x + 45, what is x? (a) 12 (b) 20 (c) 10 (d) 11
  19. 19.If 4x + 20 = 2x + 22, what is x? (a) 3 (b) 21 (c) 1 (d) 2
  20. 20.If 3x − 15 = 24, what is x? (a) 39 (b) 14 (c) 3 (d) 13
  21. 21.If 9x − 43 = 2, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  22. 22.If 7x + 7 = 2x + 42, what is x? (a) 9 (b) 6 (c) 8 (d) 7
  23. 23.If x/2 + 13 = 25, what is x? (a) 76 (b) 12 (c) 37 (d) 24
  24. 24.If 3x + 5 = 26, what is x? (a) 8 (b) 6 (c) 21 (d) 7
  25. 25.If 3x − 5 = 13, what is x? (a) 7 (b) 5 (c) 6 (d) 18
  26. 26.If 2x − 1 = 5, what is x? (a) 6 (b) 3 (c) 4 (d) 2
  27. 27.If 4x + 3 = x + 12, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  28. 28.If x/6 + 10 = 16, what is x? (a) 6 (b) 156 (c) 36 (d) 86
  29. 29.If 9x + 13 = 4x + 48, what is x? (a) 9 (b) 8 (c) 7 (d) 6
  30. 30.If x/4 + 15 = 26, what is x? (a) 164 (b) 11 (c) 89 (d) 44
  31. 31.If 3x − 28 = 2, what is x? (a) 30 (b) 9 (c) 11 (d) 10
  32. 32.If 2x + 23 = 41, what is x? (a) 10 (b) 9 (c) 32 (d) 18
  33. 33.If 3x + 4 = x + 10, what is x? (a) 7 (b) 5 (c) 4 (d) 3
  34. 34.If 3x + 10 = 2x + 14, what is x? (a) 4 (b) 24 (c) 5 (d) 6
  35. 35.If x/4 + 6 = 13, what is x? (a) 76 (b) 46 (c) 7 (d) 28
  36. 36.If 3x − 2 = 22, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  37. 37.If 6x + 1 = 3x + 7, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  38. 38.If 9x + 4 = x + 44, what is x? (a) 7 (b) 5 (c) 6 (d) 4
  39. 39.If 3x + 17 = 59, what is x? (a) 14 (b) 15 (c) 13 (d) 42
  40. 40.If 6x + 7 = 5x + 11, what is x? (a) 18 (b) 4 (c) 5 (d) 6

Answer key

  1. 4
  2. 3
  3. 7
  4. 20
  5. 2
  6. 7
  7. 12
  8. 4
  9. 9
  10. 12
  11. 12
  12. 6
  13. 5
  14. 15
  15. 11
  16. 8
  17. 3
  18. 10
  19. 1
  20. 13
  21. 5
  22. 7
  23. 24
  24. 7
  25. 6
  26. 3
  27. 3
  28. 36
  29. 7
  30. 44
  31. 10
  32. 9
  33. 3
  34. 4
  35. 28
  36. 8
  37. 2
  38. 5
  39. 14
  40. 4

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