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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 650 · 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 7x + 2 = 6x + 7, what is x? (a) 9 (b) 7 (c) 6 (d) 5
  2. 2.If 7x − 20 = 8, what is x? (a) 28 (b) 5 (c) 4 (d) 3
  3. 3.If 2x + 10 = 38, what is x? (a) 24 (b) 14 (c) 15 (d) 28
  4. 4.If x/5 + 6 = 14, what is x? (a) 40 (b) 8 (c) 64 (d) 100
  5. 5.If 6x + 14 = x + 59, what is x? (a) 10 (b) 8 (c) 11 (d) 9
  6. 6.If 5x − 53 = 22, what is x? (a) 75 (b) 15 (c) 16 (d) 14
  7. 7.If 8x + 6 = 6x + 10, what is x? (a) 2 (b) 3 (c) 4 (d) 8
  8. 8.If 3x + 20 = 47, what is x? (a) 9 (b) 27 (c) 8 (d) 10
  9. 9.If 9x + 2 = 29, what is x? (a) 3 (b) 2 (c) 27 (d) 4
  10. 10.If 3x + 23 = 32, what is x? (a) 2 (b) 3 (c) 4 (d) 9
  11. 11.If 8x − 16 = 40, what is x? (a) 8 (b) 3 (c) 56 (d) 7
  12. 12.If 6x − 12 = 24, what is x? (a) 6 (b) 7 (c) 2 (d) 36
  13. 13.If 4x + 14 = 3x + 20, what is x? (a) 34 (b) 6 (c) 7 (d) 8
  14. 14.If 8x + 13 = 5x + 19, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  15. 15.If 4x + 4 = 2x + 14, what is x? (a) 5 (b) 7 (c) 9 (d) 6
  16. 16.If 7x − 11 = 3, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  17. 17.If 5x + 19 = 84, what is x? (a) 65 (b) 14 (c) 12 (d) 13
  18. 18.If x/6 + 6 = 13, what is x? (a) 114 (b) 7 (c) 72 (d) 42
  19. 19.If 3x + 12 = 2x + 14, what is x? (a) 26 (b) 4 (c) 2 (d) 3
  20. 20.If 4x + 27 = 75, what is x? (a) 11 (b) 12 (c) 48 (d) 13
  21. 21.If 5x + 4 = 2x + 10, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  22. 22.If 2x + 22 = 48, what is x? (a) 26 (b) 35 (c) 13 (d) 14
  23. 23.If 2x − 26 = 4, what is x? (a) 15 (b) 16 (c) 14 (d) 30
  24. 24.If 7x + 19 = x + 49, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  25. 25.If 6x + 15 = 2x + 27, what is x? (a) 5 (b) 4 (c) 3 (d) 2
  26. 26.If 2x − 25 = 3, what is x? (a) 28 (b) 14 (c) 15 (d) 13
  27. 27.If 5x + 26 = 76, what is x? (a) 10 (b) 50 (c) 11 (d) 9
  28. 28.If 9x + 4 = 94, what is x? (a) 11 (b) 9 (c) 10 (d) 90
  29. 29.If 9x + 14 = 2x + 77, what is x? (a) 9 (b) 10 (c) 11 (d) 13
  30. 30.If 8x + 6 = x + 62, what is x? (a) 7 (b) 10 (c) 9 (d) 8
  31. 31.If 3x − 1 = 11, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  32. 32.If x/3 + 2 = 8, what is x? (a) 30 (b) 6 (c) 18 (d) 22
  33. 33.If 2x + 13 = 43, what is x? (a) 28 (b) 16 (c) 15 (d) 30
  34. 34.If 9x + 2 = 2x + 9, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  35. 35.If 9x − 76 = 5, what is x? (a) 9 (b) 81 (c) 10 (d) 8
  36. 36.If 4x + 16 = 72, what is x? (a) 15 (b) 56 (c) 22 (d) 14
  37. 37.If 8x + 22 = 78, what is x? (a) 8 (b) 6 (c) 7 (d) 56
  38. 38.If 4x + 26 = 54, what is x? (a) 8 (b) 28 (c) 20 (d) 7
  39. 39.If 3x − 15 = 3, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  40. 40.If x/6 + 6 = 8, what is x? (a) 2 (b) 42 (c) 84 (d) 12

Answer key

  1. 5
  2. 4
  3. 14
  4. 40
  5. 9
  6. 15
  7. 2
  8. 9
  9. 3
  10. 3
  11. 7
  12. 6
  13. 6
  14. 2
  15. 5
  16. 2
  17. 13
  18. 42
  19. 2
  20. 12
  21. 2
  22. 13
  23. 15
  24. 5
  25. 3
  26. 14
  27. 10
  28. 10
  29. 9
  30. 8
  31. 4
  32. 18
  33. 15
  34. 1
  35. 9
  36. 14
  37. 7
  38. 7
  39. 6
  40. 12

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