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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 540 · 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 x/4 + 11 = 14, what is x? (a) 3 (b) 100 (c) 45 (d) 12
  2. 2.If 4x + 30 = 74, what is x? (a) 26 (b) 11 (c) 44 (d) 12
  3. 3.If 8x + 16 = x + 23, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  4. 4.If 4x + 16 = 3x + 26, what is x? (a) 42 (b) 10 (c) 11 (d) 12
  5. 5.If 2x − 7 = 13, what is x? (a) 20 (b) 11 (c) 10 (d) 3
  6. 6.If 3x − 7 = 5, what is x? (a) 3 (b) 5 (c) 12 (d) 4
  7. 7.If 4x − 39 = 13, what is x? (a) 14 (b) 52 (c) 13 (d) 12
  8. 8.If 2x − 1 = 13, what is x? (a) 14 (b) 6 (c) 8 (d) 7
  9. 9.If 4x + 14 = x + 38, what is x? (a) 10 (b) 7 (c) 9 (d) 8
  10. 10.If x/6 + 14 = 19, what is x? (a) 198 (b) 100 (c) 5 (d) 30
  11. 11.If 4x + 4 = 3x + 10, what is x? (a) 8 (b) 14 (c) 7 (d) 6
  12. 12.If 4x + 19 = 2x + 31, what is x? (a) 6 (b) 2 (c) 25 (d) 7
  13. 13.If x/5 + 13 = 22, what is x? (a) 9 (b) 45 (c) 97 (d) 175
  14. 14.If 9x + 1 = 2x + 29, what is x? (a) 5 (b) 6 (c) 3 (d) 4
  15. 15.If 3x + 23 = 35, what is x? (a) 5 (b) 12 (c) 3 (d) 4
  16. 16.If 9x − 21 = 33, what is x? (a) 7 (b) 6 (c) 5 (d) 54
  17. 17.If 5x − 4 = 16, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  18. 18.If 7x + 17 = 38, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  19. 19.If 5x + 12 = 2x + 27, what is x? (a) 6 (b) 5 (c) 7 (d) 13
  20. 20.If 2x − 18 = 4, what is x? (a) 11 (b) 12 (c) 10 (d) 22
  21. 21.If 8x + 4 = 100, what is x? (a) 11 (b) 96 (c) 13 (d) 12
  22. 22.If 9x − 30 = 6, what is x? (a) 4 (b) 5 (c) 36 (d) 3
  23. 23.If 3x + 15 = 48, what is x? (a) 33 (b) 21 (c) 11 (d) 12
  24. 24.If x/5 + 2 = 4, what is x? (a) 10 (b) 30 (c) 18 (d) 2
  25. 25.If 9x + 16 = 7x + 22, what is x? (a) 5 (b) 3 (c) 19 (d) 4
  26. 26.If 3x + 20 = 44, what is x? (a) 24 (b) 8 (c) 7 (d) 9
  27. 27.If 9x + 2 = 2x + 9, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  28. 28.If x/2 + 14 = 21, what is x? (a) 14 (b) 7 (c) 28 (d) 70
  29. 29.If 3x + 7 = x + 21, what is x? (a) 8 (b) 14 (c) 9 (d) 7
  30. 30.If 4x + 18 = 66, what is x? (a) 13 (b) 12 (c) 48 (d) 21
  31. 31.If 5x − 10 = 65, what is x? (a) 15 (b) 75 (c) 11 (d) 16
  32. 32.If 3x − 2 = 13, what is x? (a) 4 (b) 5 (c) 15 (d) 6
  33. 33.If 4x + 15 = 3x + 26, what is x? (a) 12 (b) 11 (c) 41 (d) 13
  34. 34.If 6x − 9 = 3, what is x? (a) 12 (b) 2 (c) 3 (d) 1
  35. 35.If 8x + 18 = 4x + 50, what is x? (a) 10 (b) 17 (c) 9 (d) 8
  36. 36.If x/4 + 15 = 19, what is x? (a) 4 (b) 136 (c) 61 (d) 16
  37. 37.If 9x − 5 = 31, what is x? (a) 5 (b) 36 (c) 4 (d) 3
  38. 38.If x/2 + 5 = 16, what is x? (a) 22 (b) 42 (c) 11 (d) 27
  39. 39.If x/2 + 9 = 12, what is x? (a) 15 (b) 42 (c) 6 (d) 3
  40. 40.If 3x + 29 = 50, what is x? (a) 6 (b) 8 (c) 21 (d) 7

Answer key

  1. 12
  2. 11
  3. 1
  4. 10
  5. 10
  6. 4
  7. 13
  8. 7
  9. 8
  10. 30
  11. 6
  12. 6
  13. 45
  14. 4
  15. 4
  16. 6
  17. 4
  18. 3
  19. 5
  20. 11
  21. 12
  22. 4
  23. 11
  24. 10
  25. 3
  26. 8
  27. 1
  28. 14
  29. 7
  30. 12
  31. 15
  32. 5
  33. 11
  34. 2
  35. 8
  36. 16
  37. 4
  38. 22
  39. 6
  40. 7

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