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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 436 · 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 − 6 = 30, what is x? (a) 8 (b) 36 (c) 13 (d) 12
  2. 2.If x/2 + 9 = 19, what is x? (a) 29 (b) 56 (c) 20 (d) 10
  3. 3.If 3x − 7 = 8, what is x? (a) 5 (b) 4 (c) 6 (d) 15
  4. 4.If 9x + 4 = 5x + 20, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  5. 5.If x/5 + 3 = 6, what is x? (a) 27 (b) 3 (c) 45 (d) 15
  6. 6.If 9x + 30 = 102, what is x? (a) 9 (b) 8 (c) 7 (d) 72
  7. 7.If x/2 + 3 = 15, what is x? (a) 36 (b) 24 (c) 27 (d) 12
  8. 8.If 4x + 3 = x + 18, what is x? (a) 5 (b) 6 (c) 3 (d) 7
  9. 9.If x/6 + 14 = 19, what is x? (a) 5 (b) 100 (c) 198 (d) 30
  10. 10.If 6x + 21 = 63, what is x? (a) 7 (b) 42 (c) 8 (d) 14
  11. 11.If 2x + 27 = 39, what is x? (a) 7 (b) 6 (c) 33 (d) 12
  12. 12.If 9x − 15 = 75, what is x? (a) 11 (b) 90 (c) 10 (d) 9
  13. 13.If 9x + 18 = 8x + 26, what is x? (a) 44 (b) 8 (c) 9 (d) 10
  14. 14.If 4x + 6 = 42, what is x? (a) 36 (b) 10 (c) 9 (d) 12
  15. 15.If 9x + 23 = 158, what is x? (a) 16 (b) 15 (c) 14 (d) 135
  16. 16.If 4x + 5 = 37, what is x? (a) 7 (b) 9 (c) 32 (d) 8
  17. 17.If 8x + 18 = 2x + 72, what is x? (a) 10 (b) 15 (c) 9 (d) 11
  18. 18.If 3x + 3 = x + 9, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  19. 19.If 9x + 15 = 42, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  20. 20.If 8x + 3 = 83, what is x? (a) 80 (b) 9 (c) 10 (d) 11
  21. 21.If x/3 + 15 = 22, what is x? (a) 111 (b) 7 (c) 51 (d) 21
  22. 22.If x/2 + 9 = 11, what is x? (a) 13 (b) 4 (c) 2 (d) 40
  23. 23.If x/6 + 4 = 12, what is x? (a) 96 (b) 68 (c) 8 (d) 48
  24. 24.If x/2 + 6 = 9, what is x? (a) 30 (b) 12 (c) 6 (d) 3
  25. 25.If 7x + 19 = 47, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  26. 26.If 6x − 63 = 15, what is x? (a) 78 (b) 13 (c) 14 (d) 12
  27. 27.If 8x + 8 = 6x + 26, what is x? (a) 11 (b) 17 (c) 9 (d) 10
  28. 28.If x/2 + 12 = 14, what is x? (a) 2 (b) 16 (c) 4 (d) 52
  29. 29.If 5x + 19 = 84, what is x? (a) 13 (b) 65 (c) 12 (d) 14
  30. 30.If x/2 + 2 = 12, what is x? (a) 28 (b) 22 (c) 20 (d) 10
  31. 31.If 4x + 13 = 41, what is x? (a) 28 (b) 6 (c) 8 (d) 7
  32. 32.If 4x + 2 = 2x + 6, what is x? (a) 3 (b) 4 (c) 1 (d) 2
  33. 33.If 5x − 24 = 16, what is x? (a) 9 (b) 40 (c) 7 (d) 8
  34. 34.If 5x + 19 = 2x + 31, what is x? (a) 4 (b) 5 (c) 6 (d) 3
  35. 35.If 2x + 26 = 38, what is x? (a) 32 (b) 12 (c) 6 (d) 7
  36. 36.If 6x + 6 = 84, what is x? (a) 14 (b) 78 (c) 15 (d) 13
  37. 37.If x/5 + 13 = 20, what is x? (a) 35 (b) 165 (c) 7 (d) 87
  38. 38.If x/4 + 5 = 11, what is x? (a) 39 (b) 6 (c) 64 (d) 24
  39. 39.If 5x − 14 = 11, what is x? (a) 25 (b) 6 (c) 4 (d) 5
  40. 40.If x/3 + 1 = 6, what is x? (a) 17 (b) 21 (c) 5 (d) 15

Answer key

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

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