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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 820 · 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 − 3 = 25, what is x? (a) 15 (b) 28 (c) 14 (d) 11
  2. 2.If 4x + 4 = x + 25, what is x? (a) 7 (b) 8 (c) 9 (d) 6
  3. 3.If 2x + 4 = 28, what is x? (a) 16 (b) 24 (c) 13 (d) 12
  4. 4.If 3x + 19 = 2x + 20, what is x? (a) 2 (b) 1 (c) 39 (d) 3
  5. 5.If 7x − 12 = 2, what is x? (a) 14 (b) 2 (c) 1 (d) 3
  6. 6.If 8x − 15 = 97, what is x? (a) 13 (b) 15 (c) 14 (d) 112
  7. 7.If 2x + 23 = 31, what is x? (a) 27 (b) 5 (c) 4 (d) 8
  8. 8.If 4x − 22 = 18, what is x? (a) 11 (b) 10 (c) 40 (d) 9
  9. 9.If 3x + 12 = 24, what is x? (a) 5 (b) 12 (c) 4 (d) 3
  10. 10.If 7x − 2 = 26, what is x? (a) 5 (b) 28 (c) 3 (d) 4
  11. 11.If x/6 + 8 = 10, what is x? (a) 108 (b) 12 (c) 52 (d) 2
  12. 12.If 9x + 7 = 115, what is x? (a) 11 (b) 13 (c) 12 (d) 108
  13. 13.If x/2 + 6 = 12, what is x? (a) 36 (b) 18 (c) 12 (d) 6
  14. 14.If 9x + 6 = 4x + 56, what is x? (a) 10 (b) 9 (c) 12 (d) 11
  15. 15.If 2x + 23 = 29, what is x? (a) 6 (b) 4 (c) 26 (d) 3
  16. 16.If 3x + 27 = 51, what is x? (a) 26 (b) 24 (c) 9 (d) 8
  17. 17.If 9x + 7 = 43, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  18. 18.If 4x + 1 = 9, what is x? (a) 2 (b) 1 (c) 3 (d) 8
  19. 19.If 2x + 7 = 25, what is x? (a) 16 (b) 10 (c) 18 (d) 9
  20. 20.If 6x + 20 = 110, what is x? (a) 16 (b) 90 (c) 15 (d) 14
  21. 21.If 5x + 3 = 43, what is x? (a) 8 (b) 7 (c) 9 (d) 40
  22. 22.If 4x + 28 = 76, what is x? (a) 26 (b) 48 (c) 13 (d) 12
  23. 23.If 7x − 34 = 22, what is x? (a) 9 (b) 7 (c) 8 (d) 56
  24. 24.If 4x + 18 = 26, what is x? (a) 11 (b) 3 (c) 2 (d) 8
  25. 25.If 2x + 15 = 21, what is x? (a) 4 (b) 3 (c) 6 (d) 18
  26. 26.If 9x − 4 = 14, what is x? (a) 2 (b) 3 (c) 1 (d) 18
  27. 27.If 4x + 1 = 2x + 23, what is x? (a) 13 (b) 11 (c) 12 (d) 10
  28. 28.If 8x + 19 = 2x + 73, what is x? (a) 9 (b) 10 (c) 11 (d) 8
  29. 29.If 6x − 12 = 30, what is x? (a) 42 (b) 7 (c) 8 (d) 3
  30. 30.If 6x + 13 = 43, what is x? (a) 4 (b) 6 (c) 30 (d) 5
  31. 31.If x/4 + 3 = 10, what is x? (a) 52 (b) 28 (c) 7 (d) 37
  32. 32.If 3x + 1 = 2x + 13, what is x? (a) 11 (b) 12 (c) 13 (d) 14
  33. 33.If 8x + 10 = 3x + 15, what is x? (a) 3 (b) 1 (c) 5 (d) 2
  34. 34.If x/3 + 11 = 13, what is x? (a) 28 (b) 2 (c) 6 (d) 72
  35. 35.If x/3 + 8 = 20, what is x? (a) 84 (b) 52 (c) 12 (d) 36
  36. 36.If 7x + 9 = 4x + 42, what is x? (a) 12 (b) 11 (c) 17 (d) 3
  37. 37.If x/2 + 8 = 17, what is x? (a) 26 (b) 18 (c) 50 (d) 9
  38. 38.If x/3 + 15 = 17, what is x? (a) 2 (b) 96 (c) 6 (d) 36
  39. 39.If 3x + 20 = x + 28, what is x? (a) 4 (b) 5 (c) 24 (d) 2
  40. 40.If 2x − 4 = 16, what is x? (a) 20 (b) 11 (c) 10 (d) 6

Answer key

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

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