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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 302 · 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 − 20 = 13, what is x? (a) 33 (b) 11 (c) 10 (d) 12
  2. 2.If 8x + 6 = 5x + 36, what is x? (a) 12 (b) 11 (c) 10 (d) 14
  3. 3.If 4x + 14 = x + 23, what is x? (a) 2 (b) 4 (c) 5 (d) 3
  4. 4.If 7x + 11 = 6x + 14, what is x? (a) 4 (b) 3 (c) 5 (d) 25
  5. 5.If 8x + 8 = 2x + 26, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  6. 6.If 6x + 19 = 5x + 28, what is x? (a) 10 (b) 11 (c) 9 (d) 47
  7. 7.If 4x − 6 = 22, what is x? (a) 4 (b) 7 (c) 8 (d) 28
  8. 8.If x/4 + 14 = 21, what is x? (a) 28 (b) 140 (c) 70 (d) 7
  9. 9.If 6x + 18 = 4x + 32, what is x? (a) 25 (b) 9 (c) 7 (d) 8
  10. 10.If 4x − 19 = 13, what is x? (a) 32 (b) 9 (c) 8 (d) 7
  11. 11.If 7x + 24 = 59, what is x? (a) 5 (b) 6 (c) 4 (d) 35
  12. 12.If 2x − 5 = 1, what is x? (a) 4 (b) 3 (c) 6 (d) 2
  13. 13.If 8x + 3 = 7x + 5, what is x? (a) 4 (b) 2 (c) 8 (d) 3
  14. 14.If x/3 + 3 = 14, what is x? (a) 33 (b) 51 (c) 11 (d) 39
  15. 15.If x/2 + 7 = 18, what is x? (a) 22 (b) 50 (c) 11 (d) 29
  16. 16.If 3x + 8 = 35, what is x? (a) 9 (b) 10 (c) 27 (d) 8
  17. 17.If 2x + 3 = 9, what is x? (a) 2 (b) 4 (c) 3 (d) 6
  18. 18.If 5x − 15 = 20, what is x? (a) 1 (b) 7 (c) 35 (d) 8
  19. 19.If 7x − 5 = 9, what is x? (a) 3 (b) 1 (c) 2 (d) 14
  20. 20.If 7x − 14 = 14, what is x? (a) 28 (b) 4 (c) 5 (d) 3
  21. 21.If x/3 + 1 = 10, what is x? (a) 27 (b) 9 (c) 33 (d) 29
  22. 22.If x/4 + 4 = 7, what is x? (a) 12 (b) 24 (c) 44 (d) 3
  23. 23.If 7x + 1 = x + 25, what is x? (a) 3 (b) 6 (c) 4 (d) 5
  24. 24.If 3x + 14 = 2x + 18, what is x? (a) 6 (b) 5 (c) 4 (d) 32
  25. 25.If 3x + 8 = 44, what is x? (a) 11 (b) 13 (c) 12 (d) 36
  26. 26.If 3x − 1 = 11, what is x? (a) 12 (b) 4 (c) 3 (d) 5
  27. 27.If 4x + 26 = 38, what is x? (a) 4 (b) 16 (c) 3 (d) 12
  28. 28.If 8x + 3 = 3x + 38, what is x? (a) 6 (b) 7 (c) 8 (d) 9
  29. 29.If 7x + 7 = 4x + 13, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  30. 30.If 5x + 1 = 41, what is x? (a) 40 (b) 8 (c) 9 (d) 7
  31. 31.If 6x + 29 = 101, what is x? (a) 12 (b) 72 (c) 11 (d) 13
  32. 32.If 6x + 21 = 33, what is x? (a) 12 (b) 9 (c) 3 (d) 2
  33. 33.If 7x + 4 = 5x + 24, what is x? (a) 12 (b) 14 (c) 11 (d) 10
  34. 34.If 2x + 3 = 23, what is x? (a) 11 (b) 13 (c) 10 (d) 20
  35. 35.If x/5 + 3 = 14, what is x? (a) 55 (b) 67 (c) 85 (d) 11
  36. 36.If 7x + 19 = 3x + 39, what is x? (a) 5 (b) 2 (c) 7 (d) 6
  37. 37.If 9x + 24 = 42, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  38. 38.If 8x + 1 = 2x + 13, what is x? (a) 1 (b) 4 (c) 2 (d) 3
  39. 39.If x/3 + 2 = 12, what is x? (a) 30 (b) 42 (c) 34 (d) 10
  40. 40.If 9x + 13 = 130, what is x? (a) 12 (b) 117 (c) 14 (d) 13

Answer key

  1. 11
  2. 10
  3. 3
  4. 3
  5. 3
  6. 9
  7. 7
  8. 28
  9. 7
  10. 8
  11. 5
  12. 3
  13. 2
  14. 33
  15. 22
  16. 9
  17. 3
  18. 7
  19. 2
  20. 4
  21. 27
  22. 12
  23. 4
  24. 4
  25. 12
  26. 4
  27. 3
  28. 7
  29. 2
  30. 8
  31. 12
  32. 2
  33. 10
  34. 10
  35. 55
  36. 5
  37. 2
  38. 2
  39. 30
  40. 13

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