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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 476 · 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 5x + 10 = 3x + 18, what is x? (a) 1 (b) 14 (c) 5 (d) 4
  2. 2.If 4x − 4 = 4, what is x? (a) 3 (b) 8 (c) 1 (d) 2
  3. 3.If 4x − 8 = 8, what is x? (a) 16 (b) 5 (c) 4 (d) 3
  4. 4.If 3x + 11 = x + 15, what is x? (a) 2 (b) 3 (c) 1 (d) 13
  5. 5.If 5x + 15 = 2x + 42, what is x? (a) 10 (b) 19 (c) 11 (d) 9
  6. 6.If 9x + 22 = 85, what is x? (a) 63 (b) 8 (c) 6 (d) 7
  7. 7.If 4x + 16 = 32, what is x? (a) 4 (b) 12 (c) 16 (d) 5
  8. 8.If 2x + 14 = 22, what is x? (a) 8 (b) 18 (c) 5 (d) 4
  9. 9.If 2x + 13 = 17, what is x? (a) 3 (b) 4 (c) 2 (d) 15
  10. 10.If 3x + 11 = 2x + 21, what is x? (a) 10 (b) 32 (c) 11 (d) 2
  11. 11.If 4x + 17 = 2x + 19, what is x? (a) 2 (b) 18 (c) 1 (d) 3
  12. 12.If 5x + 11 = x + 15, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  13. 13.If 5x + 16 = 4x + 25, what is x? (a) 10 (b) 41 (c) 1 (d) 9
  14. 14.If 4x + 8 = 3x + 13, what is x? (a) 21 (b) 7 (c) 6 (d) 5
  15. 15.If 6x + 10 = 3x + 16, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  16. 16.If 4x + 16 = 60, what is x? (a) 19 (b) 12 (c) 11 (d) 44
  17. 17.If 5x − 32 = 33, what is x? (a) 12 (b) 65 (c) 13 (d) 14
  18. 18.If x/3 + 4 = 16, what is x? (a) 12 (b) 36 (c) 60 (d) 44
  19. 19.If 6x + 29 = 77, what is x? (a) 48 (b) 8 (c) 9 (d) 7
  20. 20.If 3x + 16 = 2x + 19, what is x? (a) 4 (b) 35 (c) 3 (d) 5
  21. 21.If 7x + 17 = x + 29, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  22. 22.If 6x − 15 = 33, what is x? (a) 3 (b) 48 (c) 9 (d) 8
  23. 23.If 7x − 47 = 51, what is x? (a) 13 (b) 15 (c) 14 (d) 98
  24. 24.If 7x + 14 = x + 44, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  25. 25.If x/2 + 3 = 8, what is x? (a) 13 (b) 22 (c) 5 (d) 10
  26. 26.If 8x − 11 = 5, what is x? (a) 1 (b) 2 (c) 3 (d) 16
  27. 27.If 2x − 2 = 10, what is x? (a) 12 (b) 7 (c) 4 (d) 6
  28. 28.If 5x + 7 = 82, what is x? (a) 15 (b) 75 (c) 16 (d) 14
  29. 29.If 4x − 3 = 5, what is x? (a) 1 (b) 8 (c) 3 (d) 2
  30. 30.If 2x + 30 = 34, what is x? (a) 3 (b) 4 (c) 2 (d) 32
  31. 31.If 4x + 22 = 50, what is x? (a) 18 (b) 8 (c) 7 (d) 28
  32. 32.If 3x − 7 = 35, what is x? (a) 13 (b) 42 (c) 14 (d) 15
  33. 33.If 9x + 5 = 3x + 41, what is x? (a) 8 (b) 6 (c) 3 (d) 7
  34. 34.If 7x − 32 = 45, what is x? (a) 11 (b) 10 (c) 12 (d) 77
  35. 35.If 3x + 10 = x + 14, what is x? (a) 1 (b) 12 (c) 3 (d) 2
  36. 36.If x/3 + 1 = 4, what is x? (a) 15 (b) 11 (c) 3 (d) 9
  37. 37.If x/5 + 1 = 7, what is x? (a) 30 (b) 34 (c) 40 (d) 6
  38. 38.If 5x + 17 = x + 25, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  39. 39.If x/6 + 11 = 16, what is x? (a) 162 (b) 85 (c) 30 (d) 5
  40. 40.If x/4 + 15 = 18, what is x? (a) 12 (b) 132 (c) 3 (d) 57

Answer key

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

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