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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 377 · 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 3x + 7 = 13, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  2. 2.If x/6 + 6 = 18, what is x? (a) 72 (b) 12 (c) 102 (d) 144
  3. 3.If 4x + 21 = 33, what is x? (a) 12 (b) 4 (c) 2 (d) 3
  4. 4.If 9x − 40 = 41, what is x? (a) 9 (b) 8 (c) 81 (d) 10
  5. 5.If x/2 + 14 = 23, what is x? (a) 74 (b) 32 (c) 18 (d) 9
  6. 6.If 2x + 4 = 30, what is x? (a) 17 (b) 13 (c) 26 (d) 14
  7. 7.If 4x − 8 = 44, what is x? (a) 52 (b) 14 (c) 9 (d) 13
  8. 8.If 9x − 40 = 86, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  9. 9.If 8x + 4 = 7x + 14, what is x? (a) 10 (b) 11 (c) 18 (d) 12
  10. 10.If 4x + 24 = 48, what is x? (a) 7 (b) 18 (c) 24 (d) 6
  11. 11.If 5x − 6 = 44, what is x? (a) 50 (b) 11 (c) 10 (d) 9
  12. 12.If 4x + 4 = x + 28, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  13. 13.If 4x + 1 = 37, what is x? (a) 10 (b) 8 (c) 9 (d) 36
  14. 14.If 4x − 11 = 5, what is x? (a) 16 (b) 5 (c) 3 (d) 4
  15. 15.If 8x + 25 = 145, what is x? (a) 14 (b) 16 (c) 15 (d) 120
  16. 16.If 4x + 7 = 31, what is x? (a) 5 (b) 7 (c) 6 (d) 24
  17. 17.If x/4 + 12 = 18, what is x? (a) 6 (b) 120 (c) 60 (d) 24
  18. 18.If x/3 + 9 = 12, what is x? (a) 63 (b) 3 (c) 9 (d) 27
  19. 19.If 2x + 21 = 51, what is x? (a) 15 (b) 36 (c) 30 (d) 16
  20. 20.If 8x − 6 = 42, what is x? (a) 7 (b) 5 (c) 6 (d) 48
  21. 21.If x/4 + 12 = 14, what is x? (a) 8 (b) 44 (c) 104 (d) 2
  22. 22.If 3x + 20 = 35, what is x? (a) 15 (b) 4 (c) 6 (d) 5
  23. 23.If 4x + 7 = 67, what is x? (a) 60 (b) 16 (c) 14 (d) 15
  24. 24.If 8x + 7 = 119, what is x? (a) 14 (b) 13 (c) 15 (d) 112
  25. 25.If 3x + 6 = 2x + 11, what is x? (a) 1 (b) 5 (c) 6 (d) 17
  26. 26.If 3x + 14 = 29, what is x? (a) 4 (b) 6 (c) 15 (d) 5
  27. 27.If 8x + 11 = x + 95, what is x? (a) 12 (b) 14 (c) 13 (d) 11
  28. 28.If 3x + 18 = 2x + 20, what is x? (a) 2 (b) 4 (c) 3 (d) 38
  29. 29.If x/4 + 7 = 11, what is x? (a) 4 (b) 72 (c) 16 (d) 37
  30. 30.If 8x − 19 = 21, what is x? (a) 5 (b) 4 (c) 40 (d) 6
  31. 31.If x/2 + 9 = 13, what is x? (a) 44 (b) 17 (c) 8 (d) 4
  32. 32.If 4x + 15 = 63, what is x? (a) 11 (b) 13 (c) 12 (d) 48
  33. 33.If 9x + 6 = 3x + 66, what is x? (a) 12 (b) 5 (c) 10 (d) 11
  34. 34.If 3x − 6 = 24, what is x? (a) 30 (b) 11 (c) 10 (d) 6
  35. 35.If 4x − 30 = 2, what is x? (a) 7 (b) 32 (c) 8 (d) 9
  36. 36.If 4x + 13 = 41, what is x? (a) 28 (b) 8 (c) 7 (d) 6
  37. 37.If 3x + 21 = 36, what is x? (a) 19 (b) 15 (c) 6 (d) 5
  38. 38.If 6x + 4 = 2x + 16, what is x? (a) 5 (b) 4 (c) 2 (d) 3
  39. 39.If 8x + 2 = 114, what is x? (a) 13 (b) 15 (c) 14 (d) 112
  40. 40.If x/2 + 5 = 15, what is x? (a) 40 (b) 10 (c) 25 (d) 20

Answer key

  1. 2
  2. 72
  3. 3
  4. 9
  5. 18
  6. 13
  7. 13
  8. 14
  9. 10
  10. 6
  11. 10
  12. 8
  13. 9
  14. 4
  15. 15
  16. 6
  17. 24
  18. 9
  19. 15
  20. 6
  21. 8
  22. 5
  23. 15
  24. 14
  25. 5
  26. 5
  27. 12
  28. 2
  29. 16
  30. 5
  31. 8
  32. 12
  33. 10
  34. 10
  35. 8
  36. 7
  37. 5
  38. 3
  39. 14
  40. 20

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