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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 513 · 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 9x − 47 = 52, what is x? (a) 11 (b) 12 (c) 10 (d) 99
  2. 2.If 2x − 10 = 8, what is x? (a) 10 (b) 18 (c) 9 (d) 8
  3. 3.If 9x + 18 = 8x + 19, what is x? (a) 1 (b) 3 (c) 37 (d) 2
  4. 4.If x/5 + 2 = 5, what is x? (a) 15 (b) 35 (c) 23 (d) 3
  5. 5.If 9x + 3 = 3x + 15, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  6. 6.If 5x + 13 = 3x + 31, what is x? (a) 22 (b) 10 (c) 9 (d) 11
  7. 7.If 3x + 15 = 51, what is x? (a) 36 (b) 12 (c) 22 (d) 13
  8. 8.If 8x − 70 = 18, what is x? (a) 12 (b) 88 (c) 11 (d) 10
  9. 9.If 2x + 18 = 28, what is x? (a) 23 (b) 10 (c) 6 (d) 5
  10. 10.If 5x + 9 = 2x + 27, what is x? (a) 7 (b) 8 (c) 12 (d) 6
  11. 11.If 5x + 20 = 4x + 27, what is x? (a) 9 (b) 8 (c) 7 (d) 47
  12. 12.If 8x + 13 = 4x + 45, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  13. 13.If 5x + 24 = 44, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  14. 14.If 9x + 3 = 120, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  15. 15.If 5x − 7 = 43, what is x? (a) 9 (b) 11 (c) 50 (d) 10
  16. 16.If x/3 + 9 = 17, what is x? (a) 24 (b) 78 (c) 8 (d) 42
  17. 17.If 3x + 6 = 2x + 15, what is x? (a) 10 (b) 11 (c) 21 (d) 9
  18. 18.If 3x − 7 = 8, what is x? (a) 15 (b) 5 (c) 6 (d) 4
  19. 19.If x/2 + 1 = 4, what is x? (a) 3 (b) 6 (c) 7 (d) 10
  20. 20.If 3x + 6 = x + 16, what is x? (a) 11 (b) 7 (c) 6 (d) 5
  21. 21.If x/2 + 5 = 12, what is x? (a) 14 (b) 7 (c) 34 (d) 19
  22. 22.If x/2 + 6 = 14, what is x? (a) 22 (b) 16 (c) 8 (d) 40
  23. 23.If x/4 + 13 = 25, what is x? (a) 87 (b) 152 (c) 12 (d) 48
  24. 24.If 9x + 12 = 4x + 62, what is x? (a) 9 (b) 11 (c) 10 (d) 12
  25. 25.If 4x + 17 = 53, what is x? (a) 8 (b) 36 (c) 10 (d) 9
  26. 26.If 4x + 1 = 2x + 15, what is x? (a) 8 (b) 6 (c) 9 (d) 7
  27. 27.If 3x + 1 = 40, what is x? (a) 12 (b) 14 (c) 39 (d) 13
  28. 28.If 7x − 23 = 5, what is x? (a) 28 (b) 4 (c) 5 (d) 3
  29. 29.If 6x + 14 = 5x + 16, what is x? (a) 3 (b) 30 (c) 4 (d) 2
  30. 30.If 3x − 10 = 26, what is x? (a) 36 (b) 11 (c) 12 (d) 13
  31. 31.If 4x + 5 = 2x + 7, what is x? (a) 1 (b) 6 (c) 2 (d) 3
  32. 32.If 7x + 14 = 56, what is x? (a) 7 (b) 6 (c) 42 (d) 10
  33. 33.If 4x + 8 = 56, what is x? (a) 48 (b) 12 (c) 16 (d) 13
  34. 34.If x/5 + 4 = 11, what is x? (a) 75 (b) 35 (c) 51 (d) 7
  35. 35.If 4x + 2 = 3x + 14, what is x? (a) 14 (b) 16 (c) 13 (d) 12
  36. 36.If 4x + 23 = 63, what is x? (a) 40 (b) 11 (c) 10 (d) 9
  37. 37.If 6x + 20 = x + 60, what is x? (a) 10 (b) 9 (c) 8 (d) 16
  38. 38.If 2x + 6 = 10, what is x? (a) 8 (b) 4 (c) 3 (d) 2
  39. 39.If 7x + 8 = x + 68, what is x? (a) 12 (b) 9 (c) 11 (d) 10
  40. 40.If 5x + 18 = 3x + 38, what is x? (a) 10 (b) 28 (c) 11 (d) 12

Answer key

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

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