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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 691 · 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 + 10 = 24, what is x? (a) 1 (b) 2 (c) 14 (d) 3
  2. 2.If 4x + 12 = 3x + 16, what is x? (a) 28 (b) 5 (c) 4 (d) 6
  3. 3.If 2x − 2 = 6, what is x? (a) 8 (b) 5 (c) 4 (d) 2
  4. 4.If 5x + 5 = 2x + 26, what is x? (a) 9 (b) 3 (c) 7 (d) 8
  5. 5.If x/2 + 4 = 12, what is x? (a) 32 (b) 8 (c) 16 (d) 20
  6. 6.If 7x + 7 = 3x + 51, what is x? (a) 13 (b) 12 (c) 10 (d) 11
  7. 7.If 7x − 36 = 48, what is x? (a) 13 (b) 84 (c) 11 (d) 12
  8. 8.If 3x + 12 = 2x + 14, what is x? (a) 2 (b) 26 (c) 3 (d) 4
  9. 9.If x/6 + 12 = 17, what is x? (a) 90 (b) 30 (c) 174 (d) 5
  10. 10.If 4x − 5 = 19, what is x? (a) 6 (b) 7 (c) 24 (d) 5
  11. 11.If 5x − 35 = 35, what is x? (a) 14 (b) 15 (c) 13 (d) 70
  12. 12.If 8x − 9 = 7, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  13. 13.If x/2 + 6 = 13, what is x? (a) 20 (b) 38 (c) 7 (d) 14
  14. 14.If 7x − 16 = 5, what is x? (a) 21 (b) 2 (c) 3 (d) 4
  15. 15.If 9x + 3 = 75, what is x? (a) 8 (b) 72 (c) 7 (d) 9
  16. 16.If x/4 + 4 = 8, what is x? (a) 28 (b) 16 (c) 48 (d) 4
  17. 17.If 4x + 20 = 56, what is x? (a) 10 (b) 19 (c) 9 (d) 36
  18. 18.If 3x + 6 = 2x + 16, what is x? (a) 10 (b) 22 (c) 2 (d) 11
  19. 19.If 2x − 11 = 5, what is x? (a) 8 (b) 9 (c) 16 (d) 7
  20. 20.If 4x − 17 = 19, what is x? (a) 8 (b) 36 (c) 10 (d) 9
  21. 21.If x/6 + 8 = 10, what is x? (a) 12 (b) 108 (c) 52 (d) 2
  22. 22.If 6x − 34 = 20, what is x? (a) 10 (b) 54 (c) 8 (d) 9
  23. 23.If 6x + 3 = 5x + 11, what is x? (a) 10 (b) 9 (c) 8 (d) 14
  24. 24.If 8x + 17 = 5x + 47, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  25. 25.If 3x + 4 = 2x + 13, what is x? (a) 10 (b) 11 (c) 17 (d) 9
  26. 26.If x/4 + 4 = 13, what is x? (a) 9 (b) 68 (c) 48 (d) 36
  27. 27.If 7x − 6 = 64, what is x? (a) 10 (b) 70 (c) 9 (d) 11
  28. 28.If 7x + 8 = 22, what is x? (a) 3 (b) 2 (c) 14 (d) 1
  29. 29.If 4x + 2 = 18, what is x? (a) 3 (b) 16 (c) 4 (d) 5
  30. 30.If 7x + 20 = 6x + 32, what is x? (a) 52 (b) 14 (c) 12 (d) 13
  31. 31.If 4x + 25 = 37, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  32. 32.If x/2 + 5 = 16, what is x? (a) 27 (b) 42 (c) 22 (d) 11
  33. 33.If 7x − 12 = 65, what is x? (a) 77 (b) 10 (c) 12 (d) 11
  34. 34.If 9x + 25 = 61, what is x? (a) 3 (b) 36 (c) 5 (d) 4
  35. 35.If 8x + 26 = 114, what is x? (a) 10 (b) 11 (c) 88 (d) 12
  36. 36.If 6x + 28 = 52, what is x? (a) 4 (b) 24 (c) 3 (d) 5
  37. 37.If x/5 + 9 = 19, what is x? (a) 10 (b) 140 (c) 50 (d) 86
  38. 38.If 3x − 8 = 19, what is x? (a) 10 (b) 9 (c) 27 (d) 8
  39. 39.If 9x − 68 = 4, what is x? (a) 8 (b) 72 (c) 9 (d) 7
  40. 40.If 9x − 19 = 116, what is x? (a) 135 (b) 14 (c) 16 (d) 15

Answer key

  1. 2
  2. 4
  3. 4
  4. 7
  5. 16
  6. 11
  7. 12
  8. 2
  9. 30
  10. 6
  11. 14
  12. 2
  13. 14
  14. 3
  15. 8
  16. 16
  17. 9
  18. 10
  19. 8
  20. 9
  21. 12
  22. 9
  23. 8
  24. 10
  25. 9
  26. 36
  27. 10
  28. 2
  29. 4
  30. 12
  31. 3
  32. 22
  33. 11
  34. 4
  35. 11
  36. 4
  37. 50
  38. 9
  39. 8
  40. 15

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