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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 119 · 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 8x − 87 = 1, what is x? (a) 12 (b) 88 (c) 10 (d) 11
  2. 2.If 8x + 3 = 6x + 25, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  3. 3.If x/4 + 7 = 19, what is x? (a) 12 (b) 104 (c) 48 (d) 69
  4. 4.If 7x + 2 = 58, what is x? (a) 7 (b) 56 (c) 9 (d) 8
  5. 5.If 3x − 4 = 17, what is x? (a) 6 (b) 21 (c) 8 (d) 7
  6. 6.If 2x − 10 = 2, what is x? (a) 6 (b) 7 (c) 12 (d) 5
  7. 7.If x/2 + 6 = 10, what is x? (a) 32 (b) 14 (c) 4 (d) 8
  8. 8.If 6x − 26 = 4, what is x? (a) 6 (b) 30 (c) 5 (d) 4
  9. 9.If 7x + 26 = 68, what is x? (a) 6 (b) 5 (c) 7 (d) 42
  10. 10.If 4x + 9 = 69, what is x? (a) 16 (b) 14 (c) 60 (d) 15
  11. 11.If x/2 + 9 = 12, what is x? (a) 42 (b) 3 (c) 15 (d) 6
  12. 12.If x/5 + 5 = 15, what is x? (a) 10 (b) 70 (c) 100 (d) 50
  13. 13.If 4x − 1 = 7, what is x? (a) 8 (b) 2 (c) 3 (d) 1
  14. 14.If 7x + 23 = 37, what is x? (a) 1 (b) 2 (c) 14 (d) 3
  15. 15.If 8x + 8 = 3x + 48, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  16. 16.If 6x + 20 = 3x + 26, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  17. 17.If 4x − 12 = 20, what is x? (a) 9 (b) 32 (c) 8 (d) 2
  18. 18.If x/3 + 9 = 16, what is x? (a) 7 (b) 39 (c) 75 (d) 21
  19. 19.If 6x + 1 = x + 41, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  20. 20.If x/2 + 9 = 18, what is x? (a) 27 (b) 9 (c) 18 (d) 54
  21. 21.If 7x + 19 = 3x + 43, what is x? (a) 8 (b) 7 (c) 6 (d) 5
  22. 22.If 9x + 7 = 4x + 62, what is x? (a) 12 (b) 10 (c) 11 (d) 13
  23. 23.If 6x + 14 = 26, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  24. 24.If 8x − 6 = 90, what is x? (a) 13 (b) 96 (c) 12 (d) 11
  25. 25.If 5x + 16 = 61, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  26. 26.If 4x + 3 = x + 6, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  27. 27.If 3x + 19 = 58, what is x? (a) 14 (b) 12 (c) 39 (d) 13
  28. 28.If 7x + 15 = x + 33, what is x? (a) 5 (b) 4 (c) 8 (d) 3
  29. 29.If x/3 + 12 = 24, what is x? (a) 60 (b) 36 (c) 108 (d) 12
  30. 30.If x/6 + 8 = 19, what is x? (a) 162 (b) 11 (c) 106 (d) 66
  31. 31.If 3x + 2 = 17, what is x? (a) 5 (b) 4 (c) 6 (d) 15
  32. 32.If 6x − 51 = 15, what is x? (a) 12 (b) 11 (c) 66 (d) 10
  33. 33.If 6x + 9 = 3x + 36, what is x? (a) 15 (b) 9 (c) 3 (d) 10
  34. 34.If x/5 + 3 = 11, what is x? (a) 8 (b) 40 (c) 70 (d) 52
  35. 35.If 3x − 6 = 3, what is x? (a) 2 (b) 9 (c) 3 (d) 4
  36. 36.If 5x + 9 = 79, what is x? (a) 14 (b) 15 (c) 70 (d) 13
  37. 37.If 3x − 18 = 3, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  38. 38.If x/2 + 2 = 6, what is x? (a) 4 (b) 10 (c) 16 (d) 8
  39. 39.If 8x + 2 = 90, what is x? (a) 88 (b) 11 (c) 10 (d) 12
  40. 40.If 4x − 40 = 4, what is x? (a) 12 (b) 44 (c) 10 (d) 11

Answer key

  1. 11
  2. 11
  3. 48
  4. 8
  5. 7
  6. 6
  7. 8
  8. 5
  9. 6
  10. 15
  11. 6
  12. 50
  13. 2
  14. 2
  15. 8
  16. 2
  17. 8
  18. 21
  19. 8
  20. 18
  21. 6
  22. 11
  23. 2
  24. 12
  25. 9
  26. 1
  27. 13
  28. 3
  29. 36
  30. 66
  31. 5
  32. 11
  33. 9
  34. 40
  35. 3
  36. 14
  37. 7
  38. 8
  39. 11
  40. 11

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