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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 199 · 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 + 30 = 100, what is x? (a) 11 (b) 10 (c) 70 (d) 9
  2. 2.If x/6 + 1 = 8, what is x? (a) 47 (b) 42 (c) 7 (d) 54
  3. 3.If 5x + 30 = 90, what is x? (a) 24 (b) 13 (c) 12 (d) 60
  4. 4.If 3x + 5 = 23, what is x? (a) 5 (b) 7 (c) 6 (d) 18
  5. 5.If 5x + 30 = 100, what is x? (a) 15 (b) 70 (c) 14 (d) 26
  6. 6.If 6x + 16 = 4x + 20, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  7. 7.If x/4 + 11 = 15, what is x? (a) 4 (b) 49 (c) 16 (d) 104
  8. 8.If 9x + 15 = 7x + 39, what is x? (a) 14 (b) 12 (c) 27 (d) 13
  9. 9.If 5x + 10 = 85, what is x? (a) 16 (b) 15 (c) 19 (d) 75
  10. 10.If x/6 + 6 = 18, what is x? (a) 144 (b) 72 (c) 12 (d) 102
  11. 11.If 3x + 28 = 70, what is x? (a) 15 (b) 42 (c) 13 (d) 14
  12. 12.If 6x − 49 = 35, what is x? (a) 84 (b) 13 (c) 14 (d) 15
  13. 13.If 8x + 30 = 142, what is x? (a) 13 (b) 15 (c) 14 (d) 112
  14. 14.If x/4 + 9 = 13, what is x? (a) 4 (b) 16 (c) 88 (d) 43
  15. 15.If 7x + 18 = 32, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  16. 16.If 6x + 17 = 5x + 20, what is x? (a) 4 (b) 5 (c) 37 (d) 3
  17. 17.If x/3 + 10 = 13, what is x? (a) 9 (b) 69 (c) 3 (d) 29
  18. 18.If x/5 + 15 = 24, what is x? (a) 195 (b) 105 (c) 9 (d) 45
  19. 19.If x/2 + 9 = 16, what is x? (a) 23 (b) 14 (c) 50 (d) 7
  20. 20.If 4x + 18 = 2x + 28, what is x? (a) 7 (b) 23 (c) 6 (d) 5
  21. 21.If 9x + 13 = 40, what is x? (a) 2 (b) 4 (c) 27 (d) 3
  22. 22.If 5x + 2 = 2x + 29, what is x? (a) 11 (b) 9 (c) 10 (d) 8
  23. 23.If 4x + 15 = 3x + 16, what is x? (a) 31 (b) 3 (c) 1 (d) 2
  24. 24.If 6x + 15 = x + 35, what is x? (a) 5 (b) 4 (c) 10 (d) 6
  25. 25.If 6x + 14 = 4x + 38, what is x? (a) 13 (b) 26 (c) 14 (d) 12
  26. 26.If 2x + 7 = 27, what is x? (a) 11 (b) 10 (c) 17 (d) 20
  27. 27.If 6x + 23 = 107, what is x? (a) 84 (b) 14 (c) 15 (d) 13
  28. 28.If 9x + 4 = 58, what is x? (a) 54 (b) 7 (c) 6 (d) 5
  29. 29.If 5x + 17 = 2x + 53, what is x? (a) 13 (b) 11 (c) 14 (d) 12
  30. 30.If x/2 + 11 = 13, what is x? (a) 15 (b) 48 (c) 4 (d) 2
  31. 31.If 7x − 4 = 45, what is x? (a) 6 (b) 8 (c) 49 (d) 7
  32. 32.If x/2 + 8 = 13, what is x? (a) 5 (b) 42 (c) 10 (d) 18
  33. 33.If 6x − 51 = 27, what is x? (a) 78 (b) 13 (c) 14 (d) 12
  34. 34.If x/6 + 12 = 19, what is x? (a) 186 (b) 7 (c) 102 (d) 42
  35. 35.If x/2 + 14 = 18, what is x? (a) 4 (b) 8 (c) 64 (d) 22
  36. 36.If x/6 + 14 = 22, what is x? (a) 216 (b) 48 (c) 8 (d) 118
  37. 37.If 4x − 12 = 4, what is x? (a) 4 (b) 3 (c) 5 (d) 16
  38. 38.If 3x + 16 = x + 32, what is x? (a) 4 (b) 9 (c) 24 (d) 8
  39. 39.If 8x − 14 = 2, what is x? (a) 1 (b) 3 (c) 2 (d) 16
  40. 40.If 6x + 15 = 93, what is x? (a) 14 (b) 78 (c) 18 (d) 13

Answer key

  1. 10
  2. 42
  3. 12
  4. 6
  5. 14
  6. 2
  7. 16
  8. 12
  9. 15
  10. 72
  11. 14
  12. 14
  13. 14
  14. 16
  15. 2
  16. 3
  17. 9
  18. 45
  19. 14
  20. 5
  21. 3
  22. 9
  23. 1
  24. 4
  25. 12
  26. 10
  27. 14
  28. 6
  29. 12
  30. 4
  31. 7
  32. 10
  33. 13
  34. 42
  35. 8
  36. 48
  37. 4
  38. 8
  39. 2
  40. 13

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