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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 75 · 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 + 15 = 19, what is x? (a) 20 (b) 80 (c) 170 (d) 4
  2. 2.If x/4 + 10 = 22, what is x? (a) 128 (b) 12 (c) 48 (d) 78
  3. 3.If 8x + 20 = 132, what is x? (a) 14 (b) 15 (c) 112 (d) 19
  4. 4.If x/4 + 15 = 27, what is x? (a) 93 (b) 48 (c) 168 (d) 12
  5. 5.If 3x + 6 = x + 12, what is x? (a) 4 (b) 5 (c) 3 (d) 9
  6. 6.If 6x + 14 = x + 24, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  7. 7.If 3x − 8 = 7, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  8. 8.If x/4 + 12 = 16, what is x? (a) 112 (b) 16 (c) 4 (d) 52
  9. 9.If 2x + 2 = 8, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  10. 10.If x/2 + 12 = 23, what is x? (a) 22 (b) 70 (c) 34 (d) 11
  11. 11.If 4x + 4 = x + 22, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  12. 12.If x/6 + 3 = 13, what is x? (a) 96 (b) 60 (c) 10 (d) 75
  13. 13.If x/4 + 14 = 21, what is x? (a) 7 (b) 140 (c) 28 (d) 70
  14. 14.If 4x + 22 = 50, what is x? (a) 8 (b) 18 (c) 7 (d) 28
  15. 15.If 4x + 20 = 2x + 34, what is x? (a) 8 (b) 7 (c) 9 (d) 27
  16. 16.If 7x + 29 = 113, what is x? (a) 12 (b) 84 (c) 11 (d) 13
  17. 17.If 2x + 7 = 15, what is x? (a) 8 (b) 5 (c) 4 (d) 11
  18. 18.If x/2 + 9 = 13, what is x? (a) 4 (b) 44 (c) 8 (d) 17
  19. 19.If 8x + 13 = 53, what is x? (a) 6 (b) 5 (c) 4 (d) 40
  20. 20.If 5x + 10 = 55, what is x? (a) 13 (b) 9 (c) 10 (d) 45
  21. 21.If 6x + 1 = 43, what is x? (a) 8 (b) 42 (c) 6 (d) 7
  22. 22.If 2x + 26 = 52, what is x? (a) 26 (b) 39 (c) 14 (d) 13
  23. 23.If x/6 + 8 = 10, what is x? (a) 108 (b) 52 (c) 12 (d) 2
  24. 24.If 5x − 2 = 13, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  25. 25.If 4x + 27 = 39, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  26. 26.If x/2 + 1 = 4, what is x? (a) 3 (b) 7 (c) 6 (d) 10
  27. 27.If 4x − 35 = 1, what is x? (a) 9 (b) 36 (c) 8 (d) 10
  28. 28.If 6x + 11 = 101, what is x? (a) 15 (b) 16 (c) 14 (d) 90
  29. 29.If 5x − 5 = 55, what is x? (a) 13 (b) 12 (c) 60 (d) 10
  30. 30.If 8x + 2 = 18, what is x? (a) 2 (b) 16 (c) 1 (d) 3
  31. 31.If 3x + 18 = 33, what is x? (a) 6 (b) 5 (c) 17 (d) 15
  32. 32.If 4x + 24 = 68, what is x? (a) 23 (b) 44 (c) 12 (d) 11
  33. 33.If 3x + 7 = 43, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  34. 34.If x/4 + 1 = 4, what is x? (a) 20 (b) 12 (c) 15 (d) 3
  35. 35.If 6x − 47 = 43, what is x? (a) 14 (b) 15 (c) 90 (d) 16
  36. 36.If 4x + 18 = 30, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  37. 37.If 4x + 5 = 45, what is x? (a) 40 (b) 11 (c) 9 (d) 10
  38. 38.If 5x + 28 = 98, what is x? (a) 15 (b) 70 (c) 14 (d) 13
  39. 39.If x/2 + 9 = 17, what is x? (a) 8 (b) 52 (c) 25 (d) 16
  40. 40.If x/6 + 11 = 20, what is x? (a) 109 (b) 9 (c) 54 (d) 186

Answer key

  1. 20
  2. 48
  3. 14
  4. 48
  5. 3
  6. 2
  7. 5
  8. 16
  9. 3
  10. 22
  11. 6
  12. 60
  13. 28
  14. 7
  15. 7
  16. 12
  17. 4
  18. 8
  19. 5
  20. 9
  21. 7
  22. 13
  23. 12
  24. 3
  25. 3
  26. 6
  27. 9
  28. 15
  29. 12
  30. 2
  31. 5
  32. 11
  33. 12
  34. 12
  35. 15
  36. 3
  37. 10
  38. 14
  39. 16
  40. 54

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