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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 775 · 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 6x + 19 = 4x + 35, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  2. 2.If 8x − 83 = 21, what is x? (a) 13 (b) 14 (c) 104 (d) 12
  3. 3.If 5x + 26 = 56, what is x? (a) 5 (b) 30 (c) 6 (d) 7
  4. 4.If 7x − 61 = 37, what is x? (a) 98 (b) 15 (c) 14 (d) 13
  5. 5.If 3x + 22 = 64, what is x? (a) 14 (b) 42 (c) 15 (d) 13
  6. 6.If 6x + 15 = 2x + 27, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  7. 7.If 8x − 15 = 17, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  8. 8.If 8x + 18 = 114, what is x? (a) 13 (b) 12 (c) 96 (d) 11
  9. 9.If 2x − 9 = 5, what is x? (a) 7 (b) 14 (c) 8 (d) 6
  10. 10.If 3x + 8 = 2x + 10, what is x? (a) 18 (b) 4 (c) 3 (d) 2
  11. 11.If 3x + 18 = 27, what is x? (a) 4 (b) 9 (c) 3 (d) 15
  12. 12.If 3x − 22 = 14, what is x? (a) 12 (b) 11 (c) 13 (d) 36
  13. 13.If 4x + 19 = 3x + 28, what is x? (a) 47 (b) 11 (c) 9 (d) 10
  14. 14.If 6x + 24 = 96, what is x? (a) 13 (b) 20 (c) 12 (d) 72
  15. 15.If 5x − 40 = 25, what is x? (a) 12 (b) 65 (c) 13 (d) 14
  16. 16.If 2x − 3 = 27, what is x? (a) 12 (b) 30 (c) 16 (d) 15
  17. 17.If x/4 + 8 = 14, what is x? (a) 48 (b) 24 (c) 88 (d) 6
  18. 18.If 2x − 3 = 19, what is x? (a) 11 (b) 22 (c) 12 (d) 8
  19. 19.If 6x + 27 = 39, what is x? (a) 3 (b) 12 (c) 2 (d) 11
  20. 20.If 6x + 17 = 35, what is x? (a) 2 (b) 4 (c) 3 (d) 18
  21. 21.If x/2 + 12 = 17, what is x? (a) 22 (b) 58 (c) 5 (d) 10
  22. 22.If 8x + 3 = 7x + 7, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  23. 23.If 3x + 17 = x + 39, what is x? (a) 28 (b) 11 (c) 13 (d) 12
  24. 24.If 3x − 9 = 30, what is x? (a) 39 (b) 14 (c) 13 (d) 7
  25. 25.If 3x + 11 = 47, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  26. 26.If 9x + 30 = 129, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  27. 27.If x/2 + 7 = 11, what is x? (a) 15 (b) 8 (c) 36 (d) 4
  28. 28.If 9x + 8 = 8x + 13, what is x? (a) 7 (b) 21 (c) 6 (d) 5
  29. 29.If 3x − 1 = 17, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  30. 30.If 4x + 2 = 58, what is x? (a) 14 (b) 56 (c) 15 (d) 13
  31. 31.If 4x + 15 = x + 42, what is x? (a) 10 (b) 9 (c) 11 (d) 19
  32. 32.If 2x + 27 = 33, what is x? (a) 3 (b) 30 (c) 6 (d) 4
  33. 33.If 4x − 2 = 10, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  34. 34.If 7x + 14 = 91, what is x? (a) 15 (b) 77 (c) 12 (d) 11
  35. 35.If 3x + 15 = 36, what is x? (a) 7 (b) 17 (c) 8 (d) 21
  36. 36.If 3x + 15 = 2x + 21, what is x? (a) 7 (b) 6 (c) 36 (d) 8
  37. 37.If 4x − 11 = 33, what is x? (a) 44 (b) 10 (c) 11 (d) 12
  38. 38.If 8x + 6 = x + 69, what is x? (a) 11 (b) 10 (c) 7 (d) 9
  39. 39.If 8x + 26 = 50, what is x? (a) 24 (b) 2 (c) 4 (d) 3
  40. 40.If 9x + 8 = 2x + 92, what is x? (a) 13 (b) 14 (c) 11 (d) 12

Answer key

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

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