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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 269 · 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 2x + 1 = 5, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  2. 2.If 5x + 19 = 2x + 25, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  3. 3.If x/2 + 13 = 24, what is x? (a) 74 (b) 22 (c) 11 (d) 35
  4. 4.If 2x + 26 = 48, what is x? (a) 12 (b) 11 (c) 22 (d) 37
  5. 5.If 8x + 8 = 104, what is x? (a) 12 (b) 13 (c) 96 (d) 14
  6. 6.If x/2 + 12 = 16, what is x? (a) 8 (b) 56 (c) 20 (d) 4
  7. 7.If 9x − 9 = 72, what is x? (a) 81 (b) 7 (c) 10 (d) 9
  8. 8.If 3x + 5 = 23, what is x? (a) 18 (b) 5 (c) 7 (d) 6
  9. 9.If 7x − 14 = 63, what is x? (a) 7 (b) 12 (c) 77 (d) 11
  10. 10.If 5x + 5 = 3x + 25, what is x? (a) 12 (b) 15 (c) 11 (d) 10
  11. 11.If x/5 + 1 = 11, what is x? (a) 60 (b) 54 (c) 10 (d) 50
  12. 12.If 6x − 44 = 16, what is x? (a) 11 (b) 60 (c) 10 (d) 9
  13. 13.If 9x − 3 = 105, what is x? (a) 12 (b) 108 (c) 13 (d) 11
  14. 14.If 7x + 18 = x + 48, what is x? (a) 6 (b) 7 (c) 11 (d) 5
  15. 15.If x/5 + 9 = 20, what is x? (a) 145 (b) 55 (c) 11 (d) 91
  16. 16.If 3x + 10 = x + 32, what is x? (a) 11 (b) 12 (c) 21 (d) 13
  17. 17.If x/4 + 5 = 10, what is x? (a) 35 (b) 20 (c) 5 (d) 60
  18. 18.If 6x + 5 = 5x + 9, what is x? (a) 5 (b) 6 (c) 14 (d) 4
  19. 19.If 2x + 15 = 23, what is x? (a) 4 (b) 19 (c) 5 (d) 8
  20. 20.If 5x + 27 = 52, what is x? (a) 25 (b) 4 (c) 6 (d) 5
  21. 21.If 4x + 6 = 34, what is x? (a) 28 (b) 8 (c) 7 (d) 10
  22. 22.If 7x − 60 = 10, what is x? (a) 70 (b) 9 (c) 10 (d) 11
  23. 23.If x/6 + 4 = 13, what is x? (a) 102 (b) 74 (c) 54 (d) 9
  24. 24.If 5x + 13 = x + 37, what is x? (a) 7 (b) 4 (c) 6 (d) 8
  25. 25.If x/2 + 4 = 7, what is x? (a) 22 (b) 6 (c) 3 (d) 10
  26. 26.If 4x + 25 = 61, what is x? (a) 36 (b) 8 (c) 10 (d) 9
  27. 27.If 6x + 16 = x + 26, what is x? (a) 4 (b) 3 (c) 2 (d) 1
  28. 28.If 2x − 5 = 1, what is x? (a) 6 (b) 4 (c) 2 (d) 3
  29. 29.If 2x − 3 = 13, what is x? (a) 5 (b) 16 (c) 9 (d) 8
  30. 30.If 3x + 15 = 48, what is x? (a) 11 (b) 33 (c) 21 (d) 12
  31. 31.If 6x − 16 = 14, what is x? (a) 30 (b) 4 (c) 6 (d) 5
  32. 32.If 8x − 17 = 15, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  33. 33.If 6x − 22 = 8, what is x? (a) 5 (b) 6 (c) 30 (d) 4
  34. 34.If 9x − 88 = 11, what is x? (a) 11 (b) 99 (c) 12 (d) 10
  35. 35.If 2x − 12 = 6, what is x? (a) 10 (b) 9 (c) 18 (d) 8
  36. 36.If 4x + 8 = 2x + 10, what is x? (a) 2 (b) 9 (c) 3 (d) 1
  37. 37.If x/4 + 10 = 14, what is x? (a) 4 (b) 96 (c) 16 (d) 46
  38. 38.If 4x + 5 = 61, what is x? (a) 15 (b) 14 (c) 56 (d) 13
  39. 39.If 3x + 8 = 38, what is x? (a) 11 (b) 30 (c) 10 (d) 9
  40. 40.If 8x + 2 = 6x + 6, what is x? (a) 2 (b) 3 (c) 4 (d) 1

Answer key

  1. 2
  2. 2
  3. 22
  4. 11
  5. 12
  6. 8
  7. 9
  8. 6
  9. 11
  10. 10
  11. 50
  12. 10
  13. 12
  14. 5
  15. 55
  16. 11
  17. 20
  18. 4
  19. 4
  20. 5
  21. 7
  22. 10
  23. 54
  24. 6
  25. 6
  26. 9
  27. 2
  28. 3
  29. 8
  30. 11
  31. 5
  32. 4
  33. 5
  34. 11
  35. 9
  36. 1
  37. 16
  38. 14
  39. 10
  40. 2

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