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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 7 · 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 + 4 = 28, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  2. 2.If x/3 + 14 = 26, what is x? (a) 120 (b) 64 (c) 36 (d) 12
  3. 3.If 4x + 8 = 2x + 26, what is x? (a) 3 (b) 17 (c) 10 (d) 9
  4. 4.If 5x + 18 = 73, what is x? (a) 55 (b) 11 (c) 12 (d) 10
  5. 5.If 2x − 5 = 1, what is x? (a) 4 (b) 2 (c) 6 (d) 3
  6. 6.If 7x − 2 = 19, what is x? (a) 21 (b) 4 (c) 2 (d) 3
  7. 7.If 3x + 14 = 59, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  8. 8.If x/3 + 4 = 15, what is x? (a) 33 (b) 57 (c) 41 (d) 11
  9. 9.If x/6 + 2 = 4, what is x? (a) 12 (b) 2 (c) 22 (d) 36
  10. 10.If x/6 + 6 = 13, what is x? (a) 114 (b) 7 (c) 72 (d) 42
  11. 11.If 9x + 17 = 134, what is x? (a) 13 (b) 14 (c) 117 (d) 12
  12. 12.If x/2 + 3 = 7, what is x? (a) 4 (b) 20 (c) 11 (d) 8
  13. 13.If 3x + 9 = 27, what is x? (a) 6 (b) 18 (c) 7 (d) 12
  14. 14.If x/6 + 8 = 12, what is x? (a) 24 (b) 4 (c) 120 (d) 64
  15. 15.If 9x + 19 = 91, what is x? (a) 72 (b) 8 (c) 9 (d) 7
  16. 16.If 3x − 15 = 18, what is x? (a) 12 (b) 33 (c) 1 (d) 11
  17. 17.If 7x + 2 = 107, what is x? (a) 105 (b) 16 (c) 15 (d) 14
  18. 18.If 8x + 8 = 2x + 38, what is x? (a) 6 (b) 5 (c) 7 (d) 3
  19. 19.If 5x − 9 = 1, what is x? (a) 3 (b) 2 (c) 1 (d) 10
  20. 20.If 7x + 7 = 77, what is x? (a) 11 (b) 10 (c) 12 (d) 70
  21. 21.If 8x − 2 = 30, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  22. 22.If 4x + 12 = 2x + 22, what is x? (a) 7 (b) 5 (c) 6 (d) 17
  23. 23.If 5x + 2 = 4x + 4, what is x? (a) 6 (b) 2 (c) 4 (d) 3
  24. 24.If 5x + 3 = 4x + 14, what is x? (a) 17 (b) 13 (c) 12 (d) 11
  25. 25.If 9x + 15 = 8x + 24, what is x? (a) 39 (b) 10 (c) 11 (d) 9
  26. 26.If 2x − 3 = 13, what is x? (a) 8 (b) 16 (c) 9 (d) 5
  27. 27.If 3x − 36 = 9, what is x? (a) 15 (b) 45 (c) 16 (d) 14
  28. 28.If 3x + 16 = x + 30, what is x? (a) 7 (b) 8 (c) 23 (d) 9
  29. 29.If 2x − 9 = 11, what is x? (a) 20 (b) 1 (c) 11 (d) 10
  30. 30.If x/3 + 8 = 12, what is x? (a) 4 (b) 28 (c) 60 (d) 12
  31. 31.If x/2 + 14 = 19, what is x? (a) 10 (b) 24 (c) 66 (d) 5
  32. 32.If 7x + 14 = 3x + 62, what is x? (a) 12 (b) 14 (c) 19 (d) 13
  33. 33.If 7x + 2 = 4x + 14, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  34. 34.If 3x − 1 = 5, what is x? (a) 1 (b) 6 (c) 3 (d) 2
  35. 35.If 8x + 22 = 46, what is x? (a) 4 (b) 24 (c) 3 (d) 2
  36. 36.If 7x + 14 = 49, what is x? (a) 9 (b) 6 (c) 35 (d) 5
  37. 37.If 6x + 10 = 58, what is x? (a) 9 (b) 7 (c) 48 (d) 8
  38. 38.If x/3 + 7 = 14, what is x? (a) 7 (b) 21 (c) 35 (d) 63
  39. 39.If x/3 + 6 = 9, what is x? (a) 45 (b) 3 (c) 21 (d) 9
  40. 40.If x/5 + 10 = 21, what is x? (a) 11 (b) 95 (c) 155 (d) 55

Answer key

  1. 4
  2. 36
  3. 9
  4. 11
  5. 3
  6. 3
  7. 15
  8. 33
  9. 12
  10. 42
  11. 13
  12. 8
  13. 6
  14. 24
  15. 8
  16. 11
  17. 15
  18. 5
  19. 2
  20. 10
  21. 4
  22. 5
  23. 2
  24. 11
  25. 9
  26. 8
  27. 15
  28. 7
  29. 10
  30. 12
  31. 10
  32. 12
  33. 4
  34. 2
  35. 3
  36. 5
  37. 8
  38. 21
  39. 9
  40. 55

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