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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 351 · 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 5x + 4 = 2x + 7, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  2. 2.If 3x + 6 = 21, what is x? (a) 5 (b) 9 (c) 15 (d) 6
  3. 3.If 3x + 5 = 44, what is x? (a) 12 (b) 14 (c) 39 (d) 13
  4. 4.If x/6 + 8 = 11, what is x? (a) 114 (b) 3 (c) 58 (d) 18
  5. 5.If 3x − 2 = 4, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  6. 6.If 4x + 13 = 2x + 21, what is x? (a) 17 (b) 6 (c) 5 (d) 4
  7. 7.If 5x − 4 = 11, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  8. 8.If 9x + 8 = 8x + 9, what is x? (a) 17 (b) 3 (c) 1 (d) 2
  9. 9.If x/2 + 10 = 17, what is x? (a) 7 (b) 54 (c) 24 (d) 14
  10. 10.If x/5 + 6 = 10, what is x? (a) 80 (b) 4 (c) 20 (d) 44
  11. 11.If 3x − 16 = 11, what is x? (a) 9 (b) 27 (c) 8 (d) 10
  12. 12.If 9x + 19 = 136, what is x? (a) 12 (b) 14 (c) 117 (d) 13
  13. 13.If 6x + 16 = 5x + 27, what is x? (a) 12 (b) 43 (c) 11 (d) 1
  14. 14.If 8x + 15 = 6x + 37, what is x? (a) 13 (b) 12 (c) 11 (d) 26
  15. 15.If 2x − 5 = 1, what is x? (a) 2 (b) 3 (c) 4 (d) 6
  16. 16.If 8x + 6 = 3x + 31, what is x? (a) 5 (b) 7 (c) 6 (d) 4
  17. 17.If x/4 + 15 = 26, what is x? (a) 89 (b) 164 (c) 44 (d) 11
  18. 18.If 3x + 19 = x + 35, what is x? (a) 8 (b) 27 (c) 9 (d) 4
  19. 19.If 5x − 29 = 31, what is x? (a) 12 (b) 60 (c) 11 (d) 13
  20. 20.If 3x + 2 = 8, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  21. 21.If 4x + 3 = x + 39, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  22. 22.If 2x − 6 = 12, what is x? (a) 9 (b) 3 (c) 18 (d) 10
  23. 23.If x/2 + 10 = 13, what is x? (a) 3 (b) 6 (c) 46 (d) 16
  24. 24.If 3x − 31 = 5, what is x? (a) 13 (b) 11 (c) 12 (d) 36
  25. 25.If 5x + 21 = 31, what is x? (a) 3 (b) 2 (c) 10 (d) 1
  26. 26.If 7x + 2 = 5x + 12, what is x? (a) 7 (b) 4 (c) 5 (d) 6
  27. 27.If 7x + 3 = 3x + 11, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  28. 28.If 4x + 14 = 62, what is x? (a) 19 (b) 12 (c) 48 (d) 13
  29. 29.If 7x + 19 = 2x + 59, what is x? (a) 7 (b) 9 (c) 8 (d) 10
  30. 30.If 9x + 10 = 109, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  31. 31.If x/4 + 4 = 12, what is x? (a) 44 (b) 32 (c) 8 (d) 64
  32. 32.If 3x + 19 = 37, what is x? (a) 5 (b) 18 (c) 6 (d) 7
  33. 33.If 2x − 18 = 4, what is x? (a) 12 (b) 10 (c) 11 (d) 22
  34. 34.If 8x + 18 = 58, what is x? (a) 6 (b) 40 (c) 4 (d) 5
  35. 35.If x/5 + 1 = 13, what is x? (a) 70 (b) 64 (c) 60 (d) 12
  36. 36.If x/2 + 13 = 15, what is x? (a) 56 (b) 2 (c) 17 (d) 4
  37. 37.If 5x + 14 = 4x + 22, what is x? (a) 36 (b) 10 (c) 9 (d) 8
  38. 38.If 2x + 27 = 41, what is x? (a) 14 (b) 8 (c) 7 (d) 34
  39. 39.If x/2 + 8 = 13, what is x? (a) 42 (b) 5 (c) 10 (d) 18
  40. 40.If 8x + 4 = 84, what is x? (a) 11 (b) 80 (c) 9 (d) 10

Answer key

  1. 1
  2. 5
  3. 13
  4. 18
  5. 2
  6. 4
  7. 3
  8. 1
  9. 14
  10. 20
  11. 9
  12. 13
  13. 11
  14. 11
  15. 3
  16. 5
  17. 44
  18. 8
  19. 12
  20. 2
  21. 12
  22. 9
  23. 6
  24. 12
  25. 2
  26. 5
  27. 2
  28. 12
  29. 8
  30. 11
  31. 32
  32. 6
  33. 11
  34. 5
  35. 60
  36. 4
  37. 8
  38. 7
  39. 10
  40. 10

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