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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 62 · 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/4 + 6 = 14, what is x? (a) 32 (b) 8 (c) 50 (d) 80
  2. 2.If 3x + 18 = 54, what is x? (a) 12 (b) 24 (c) 13 (d) 36
  3. 3.If x/6 + 7 = 14, what is x? (a) 7 (b) 77 (c) 126 (d) 42
  4. 4.If 4x + 10 = x + 25, what is x? (a) 5 (b) 7 (c) 6 (d) 3
  5. 5.If 2x + 28 = 38, what is x? (a) 33 (b) 10 (c) 6 (d) 5
  6. 6.If 4x + 15 = 39, what is x? (a) 24 (b) 5 (c) 7 (d) 6
  7. 7.If 9x + 14 = 77, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  8. 8.If 4x + 10 = 50, what is x? (a) 40 (b) 11 (c) 15 (d) 10
  9. 9.If 8x + 4 = 2x + 22, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  10. 10.If 5x + 13 = 28, what is x? (a) 2 (b) 15 (c) 3 (d) 4
  11. 11.If 6x + 9 = 51, what is x? (a) 42 (b) 8 (c) 7 (d) 10
  12. 12.If 4x + 15 = 23, what is x? (a) 3 (b) 8 (c) 2 (d) 1
  13. 13.If 5x + 11 = 21, what is x? (a) 1 (b) 2 (c) 3 (d) 10
  14. 14.If 5x + 27 = 37, what is x? (a) 3 (b) 10 (c) 2 (d) 1
  15. 15.If x/6 + 2 = 10, what is x? (a) 58 (b) 72 (c) 8 (d) 48
  16. 16.If 3x + 22 = 61, what is x? (a) 12 (b) 39 (c) 14 (d) 13
  17. 17.If 9x − 23 = 49, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  18. 18.If 3x − 12 = 9, what is x? (a) 21 (b) 8 (c) 6 (d) 7
  19. 19.If 8x + 19 = 4x + 55, what is x? (a) 3 (b) 9 (c) 10 (d) 11
  20. 20.If 4x − 8 = 32, what is x? (a) 40 (b) 10 (c) 11 (d) 6
  21. 21.If 3x + 12 = 2x + 22, what is x? (a) 10 (b) 2 (c) 11 (d) 34
  22. 22.If 9x − 4 = 68, what is x? (a) 7 (b) 72 (c) 8 (d) 9
  23. 23.If x/3 + 1 = 4, what is x? (a) 15 (b) 9 (c) 3 (d) 11
  24. 24.If x/4 + 10 = 13, what is x? (a) 12 (b) 92 (c) 42 (d) 3
  25. 25.If 4x + 20 = 68, what is x? (a) 13 (b) 48 (c) 12 (d) 22
  26. 26.If 3x + 1 = x + 9, what is x? (a) 6 (b) 5 (c) 4 (d) 2
  27. 27.If x/5 + 9 = 21, what is x? (a) 96 (b) 60 (c) 12 (d) 150
  28. 28.If 6x − 14 = 10, what is x? (a) 24 (b) 3 (c) 5 (d) 4
  29. 29.If 3x + 4 = 19, what is x? (a) 15 (b) 6 (c) 5 (d) 4
  30. 30.If x/4 + 8 = 11, what is x? (a) 76 (b) 36 (c) 3 (d) 12
  31. 31.If 9x + 3 = 93, what is x? (a) 90 (b) 11 (c) 10 (d) 9
  32. 32.If 2x + 4 = 14, what is x? (a) 5 (b) 9 (c) 6 (d) 10
  33. 33.If 8x + 26 = 146, what is x? (a) 16 (b) 120 (c) 14 (d) 15
  34. 34.If 4x − 16 = 20, what is x? (a) 1 (b) 36 (c) 10 (d) 9
  35. 35.If 2x + 1 = 27, what is x? (a) 14 (b) 12 (c) 26 (d) 13
  36. 36.If 3x + 17 = 26, what is x? (a) 4 (b) 9 (c) 2 (d) 3
  37. 37.If 5x + 19 = x + 35, what is x? (a) 4 (b) 5 (c) 3 (d) 6
  38. 38.If 6x + 1 = 5x + 4, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  39. 39.If 4x + 5 = 3x + 9, what is x? (a) 6 (b) 14 (c) 5 (d) 4
  40. 40.If x/3 + 12 = 23, what is x? (a) 33 (b) 11 (c) 105 (d) 57

Answer key

  1. 32
  2. 12
  3. 42
  4. 5
  5. 5
  6. 6
  7. 7
  8. 10
  9. 3
  10. 3
  11. 7
  12. 2
  13. 2
  14. 2
  15. 48
  16. 13
  17. 8
  18. 7
  19. 9
  20. 10
  21. 10
  22. 8
  23. 9
  24. 12
  25. 12
  26. 4
  27. 60
  28. 4
  29. 5
  30. 12
  31. 10
  32. 5
  33. 15
  34. 9
  35. 13
  36. 3
  37. 4
  38. 3
  39. 4
  40. 33

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