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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 189 · 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/5 + 1 = 3, what is x? (a) 2 (b) 14 (c) 10 (d) 20
  2. 2.If x/2 + 12 = 18, what is x? (a) 6 (b) 60 (c) 24 (d) 12
  3. 3.If 6x + 20 = 38, what is x? (a) 3 (b) 18 (c) 2 (d) 4
  4. 4.If x/6 + 4 = 13, what is x? (a) 54 (b) 74 (c) 102 (d) 9
  5. 5.If 4x + 13 = 2x + 19, what is x? (a) 4 (b) 16 (c) 1 (d) 3
  6. 6.If 7x − 39 = 52, what is x? (a) 12 (b) 14 (c) 91 (d) 13
  7. 7.If 8x − 15 = 73, what is x? (a) 10 (b) 11 (c) 88 (d) 12
  8. 8.If 9x − 27 = 9, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  9. 9.If 8x − 47 = 33, what is x? (a) 11 (b) 9 (c) 80 (d) 10
  10. 10.If 3x − 12 = 6, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  11. 11.If 8x + 8 = 5x + 20, what is x? (a) 6 (b) 5 (c) 3 (d) 4
  12. 12.If 2x + 30 = 60, what is x? (a) 45 (b) 15 (c) 16 (d) 30
  13. 13.If 4x + 12 = 3x + 18, what is x? (a) 8 (b) 30 (c) 6 (d) 7
  14. 14.If 7x − 75 = 9, what is x? (a) 11 (b) 84 (c) 13 (d) 12
  15. 15.If x/4 + 14 = 22, what is x? (a) 74 (b) 144 (c) 32 (d) 8
  16. 16.If 3x − 5 = 1, what is x? (a) 2 (b) 3 (c) 1 (d) 6
  17. 17.If 6x + 6 = 90, what is x? (a) 84 (b) 14 (c) 16 (d) 15
  18. 18.If 6x − 45 = 21, what is x? (a) 11 (b) 10 (c) 66 (d) 12
  19. 19.If 5x − 44 = 11, what is x? (a) 12 (b) 11 (c) 10 (d) 55
  20. 20.If 3x − 6 = 12, what is x? (a) 2 (b) 7 (c) 6 (d) 18
  21. 21.If x/2 + 10 = 21, what is x? (a) 11 (b) 32 (c) 22 (d) 62
  22. 22.If 9x + 16 = 2x + 79, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  23. 23.If 3x + 2 = x + 6, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  24. 24.If 3x + 20 = 2x + 28, what is x? (a) 48 (b) 9 (c) 8 (d) 10
  25. 25.If x/6 + 9 = 11, what is x? (a) 120 (b) 2 (c) 57 (d) 12
  26. 26.If x/3 + 15 = 18, what is x? (a) 39 (b) 3 (c) 99 (d) 9
  27. 27.If 9x + 19 = 109, what is x? (a) 11 (b) 9 (c) 10 (d) 90
  28. 28.If 7x − 59 = 46, what is x? (a) 15 (b) 16 (c) 105 (d) 14
  29. 29.If x/4 + 11 = 22, what is x? (a) 77 (b) 44 (c) 132 (d) 11
  30. 30.If x/2 + 13 = 24, what is x? (a) 11 (b) 22 (c) 35 (d) 74
  31. 31.If x/2 + 6 = 18, what is x? (a) 48 (b) 30 (c) 12 (d) 24
  32. 32.If x/3 + 7 = 19, what is x? (a) 36 (b) 78 (c) 50 (d) 12
  33. 33.If 9x + 3 = 21, what is x? (a) 18 (b) 1 (c) 2 (d) 3
  34. 34.If 8x + 14 = 7x + 26, what is x? (a) 40 (b) 13 (c) 12 (d) 14
  35. 35.If 9x + 18 = 7x + 22, what is x? (a) 3 (b) 20 (c) 2 (d) 4
  36. 36.If 5x + 3 = 23, what is x? (a) 4 (b) 20 (c) 5 (d) 3
  37. 37.If x/2 + 13 = 16, what is x? (a) 6 (b) 3 (c) 19 (d) 58
  38. 38.If x/4 + 13 = 17, what is x? (a) 16 (b) 4 (c) 120 (d) 55
  39. 39.If 4x − 51 = 9, what is x? (a) 14 (b) 60 (c) 15 (d) 16
  40. 40.If 5x + 14 = 79, what is x? (a) 65 (b) 13 (c) 14 (d) 12

Answer key

  1. 10
  2. 12
  3. 3
  4. 54
  5. 3
  6. 13
  7. 11
  8. 4
  9. 10
  10. 6
  11. 4
  12. 15
  13. 6
  14. 12
  15. 32
  16. 2
  17. 14
  18. 11
  19. 11
  20. 6
  21. 22
  22. 9
  23. 2
  24. 8
  25. 12
  26. 9
  27. 10
  28. 15
  29. 44
  30. 22
  31. 24
  32. 36
  33. 2
  34. 12
  35. 2
  36. 4
  37. 6
  38. 16
  39. 15
  40. 13

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