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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 228 · 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 x/6 + 14 = 19, what is x? (a) 5 (b) 100 (c) 30 (d) 198
  2. 2.If 3x + 9 = 45, what is x? (a) 12 (b) 13 (c) 36 (d) 18
  3. 3.If 5x + 7 = 37, what is x? (a) 30 (b) 5 (c) 7 (d) 6
  4. 4.If 2x − 1 = 5, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  5. 5.If 2x + 23 = 53, what is x? (a) 38 (b) 16 (c) 30 (d) 15
  6. 6.If x/2 + 6 = 11, what is x? (a) 34 (b) 16 (c) 10 (d) 5
  7. 7.If 2x + 9 = 37, what is x? (a) 14 (b) 15 (c) 28 (d) 23
  8. 8.If 2x − 10 = 12, what is x? (a) 22 (b) 1 (c) 12 (d) 11
  9. 9.If 3x + 30 = 72, what is x? (a) 14 (b) 15 (c) 34 (d) 42
  10. 10.If x/4 + 1 = 10, what is x? (a) 39 (b) 44 (c) 36 (d) 9
  11. 11.If 4x + 5 = 53, what is x? (a) 48 (b) 11 (c) 13 (d) 12
  12. 12.If 9x + 8 = 71, what is x? (a) 7 (b) 8 (c) 6 (d) 63
  13. 13.If 9x + 17 = 143, what is x? (a) 15 (b) 126 (c) 14 (d) 13
  14. 14.If x/3 + 12 = 22, what is x? (a) 10 (b) 102 (c) 30 (d) 54
  15. 15.If x/6 + 3 = 12, what is x? (a) 69 (b) 54 (c) 90 (d) 9
  16. 16.If 9x − 6 = 21, what is x? (a) 4 (b) 27 (c) 2 (d) 3
  17. 17.If 7x + 22 = 106, what is x? (a) 11 (b) 84 (c) 12 (d) 13
  18. 18.If 8x − 11 = 101, what is x? (a) 13 (b) 15 (c) 112 (d) 14
  19. 19.If 2x − 7 = 23, what is x? (a) 30 (b) 15 (c) 16 (d) 8
  20. 20.If x/3 + 13 = 22, what is x? (a) 105 (b) 9 (c) 53 (d) 27
  21. 21.If x/3 + 12 = 20, what is x? (a) 8 (b) 96 (c) 48 (d) 24
  22. 22.If x/5 + 1 = 11, what is x? (a) 10 (b) 54 (c) 50 (d) 60
  23. 23.If 4x + 8 = 36, what is x? (a) 28 (b) 8 (c) 7 (d) 11
  24. 24.If 9x + 5 = 7x + 19, what is x? (a) 8 (b) 7 (c) 12 (d) 9
  25. 25.If 9x + 9 = 54, what is x? (a) 7 (b) 6 (c) 5 (d) 45
  26. 26.If 5x + 28 = 93, what is x? (a) 65 (b) 12 (c) 13 (d) 14
  27. 27.If 7x + 14 = 105, what is x? (a) 91 (b) 13 (c) 17 (d) 14
  28. 28.If 3x + 4 = x + 20, what is x? (a) 4 (b) 9 (c) 12 (d) 8
  29. 29.If x/6 + 3 = 5, what is x? (a) 27 (b) 2 (c) 48 (d) 12
  30. 30.If 9x + 30 = 102, what is x? (a) 8 (b) 9 (c) 72 (d) 7
  31. 31.If x/6 + 4 = 9, what is x? (a) 30 (b) 5 (c) 50 (d) 78
  32. 32.If 6x + 18 = 3x + 42, what is x? (a) 20 (b) 10 (c) 8 (d) 9
  33. 33.If 2x − 1 = 7, what is x? (a) 5 (b) 3 (c) 4 (d) 8
  34. 34.If 3x + 25 = 46, what is x? (a) 8 (b) 21 (c) 7 (d) 6
  35. 35.If 4x − 45 = 11, what is x? (a) 56 (b) 15 (c) 13 (d) 14
  36. 36.If 9x − 16 = 20, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  37. 37.If x/5 + 10 = 13, what is x? (a) 15 (b) 3 (c) 55 (d) 115
  38. 38.If 7x + 20 = 111, what is x? (a) 13 (b) 91 (c) 14 (d) 12
  39. 39.If 5x + 11 = 26, what is x? (a) 2 (b) 3 (c) 4 (d) 15
  40. 40.If 8x + 7 = 4x + 35, what is x? (a) 9 (b) 6 (c) 8 (d) 7

Answer key

  1. 30
  2. 12
  3. 6
  4. 3
  5. 15
  6. 10
  7. 14
  8. 11
  9. 14
  10. 36
  11. 12
  12. 7
  13. 14
  14. 30
  15. 54
  16. 3
  17. 12
  18. 14
  19. 15
  20. 27
  21. 24
  22. 50
  23. 7
  24. 7
  25. 5
  26. 13
  27. 13
  28. 8
  29. 12
  30. 8
  31. 30
  32. 8
  33. 4
  34. 7
  35. 14
  36. 4
  37. 15
  38. 13
  39. 3
  40. 7

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