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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 293 · 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 + 2 = 3x + 10, what is x? (a) 1 (b) 6 (c) 4 (d) 5
  2. 2.If 6x − 7 = 23, what is x? (a) 4 (b) 6 (c) 5 (d) 30
  3. 3.If x/4 + 9 = 21, what is x? (a) 48 (b) 75 (c) 120 (d) 12
  4. 4.If 5x + 18 = 4x + 20, what is x? (a) 3 (b) 2 (c) 4 (d) 38
  5. 5.If x/6 + 9 = 20, what is x? (a) 66 (b) 174 (c) 11 (d) 111
  6. 6.If 4x + 9 = 25, what is x? (a) 3 (b) 16 (c) 4 (d) 5
  7. 7.If 8x − 2 = 22, what is x? (a) 24 (b) 3 (c) 2 (d) 4
  8. 8.If 6x − 24 = 12, what is x? (a) 36 (b) 7 (c) 6 (d) 5
  9. 9.If 2x + 26 = 48, what is x? (a) 37 (b) 11 (c) 12 (d) 22
  10. 10.If 2x − 2 = 4, what is x? (a) 4 (b) 6 (c) 3 (d) 1
  11. 11.If 7x + 2 = 86, what is x? (a) 11 (b) 84 (c) 13 (d) 12
  12. 12.If 4x + 22 = 42, what is x? (a) 6 (b) 20 (c) 5 (d) 16
  13. 13.If 6x − 3 = 87, what is x? (a) 16 (b) 14 (c) 15 (d) 90
  14. 14.If x/6 + 11 = 19, what is x? (a) 103 (b) 48 (c) 8 (d) 180
  15. 15.If 7x + 24 = 73, what is x? (a) 7 (b) 49 (c) 6 (d) 8
  16. 16.If 9x − 7 = 74, what is x? (a) 9 (b) 10 (c) 81 (d) 8
  17. 17.If 9x − 46 = 53, what is x? (a) 10 (b) 12 (c) 99 (d) 11
  18. 18.If 2x − 2 = 10, what is x? (a) 4 (b) 12 (c) 7 (d) 6
  19. 19.If 2x + 25 = 31, what is x? (a) 3 (b) 6 (c) 28 (d) 4
  20. 20.If x/4 + 1 = 5, what is x? (a) 16 (b) 4 (c) 19 (d) 24
  21. 21.If 9x − 32 = 49, what is x? (a) 9 (b) 81 (c) 8 (d) 10
  22. 22.If 3x + 12 = 2x + 20, what is x? (a) 32 (b) 10 (c) 9 (d) 8
  23. 23.If 5x + 24 = 44, what is x? (a) 5 (b) 20 (c) 3 (d) 4
  24. 24.If 9x − 14 = 49, what is x? (a) 8 (b) 6 (c) 7 (d) 63
  25. 25.If 6x − 11 = 55, what is x? (a) 66 (b) 11 (c) 12 (d) 10
  26. 26.If 6x + 12 = x + 22, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  27. 27.If 7x + 1 = 2x + 16, what is x? (a) 2 (b) 5 (c) 3 (d) 4
  28. 28.If 2x − 24 = 4, what is x? (a) 14 (b) 15 (c) 13 (d) 28
  29. 29.If 9x + 15 = 6x + 39, what is x? (a) 18 (b) 8 (c) 10 (d) 9
  30. 30.If x/6 + 3 = 13, what is x? (a) 60 (b) 75 (c) 96 (d) 10
  31. 31.If 6x + 5 = 95, what is x? (a) 90 (b) 15 (c) 16 (d) 14
  32. 32.If x/5 + 12 = 20, what is x? (a) 160 (b) 8 (c) 88 (d) 40
  33. 33.If 9x − 54 = 18, what is x? (a) 9 (b) 8 (c) 72 (d) 7
  34. 34.If 8x + 8 = 88, what is x? (a) 11 (b) 80 (c) 10 (d) 12
  35. 35.If 4x + 6 = 3x + 10, what is x? (a) 6 (b) 16 (c) 5 (d) 4
  36. 36.If x/5 + 3 = 7, what is x? (a) 4 (b) 32 (c) 50 (d) 20
  37. 37.If 5x − 17 = 33, what is x? (a) 9 (b) 11 (c) 10 (d) 50
  38. 38.If 5x + 23 = 63, what is x? (a) 8 (b) 9 (c) 7 (d) 40
  39. 39.If 9x − 13 = 23, what is x? (a) 3 (b) 36 (c) 5 (d) 4
  40. 40.If 5x + 20 = 2x + 23, what is x? (a) 3 (b) 4 (c) 1 (d) 2

Answer key

  1. 4
  2. 5
  3. 48
  4. 2
  5. 66
  6. 4
  7. 3
  8. 6
  9. 11
  10. 3
  11. 12
  12. 5
  13. 15
  14. 48
  15. 7
  16. 9
  17. 11
  18. 6
  19. 3
  20. 16
  21. 9
  22. 8
  23. 4
  24. 7
  25. 11
  26. 2
  27. 3
  28. 14
  29. 8
  30. 60
  31. 15
  32. 40
  33. 8
  34. 10
  35. 4
  36. 20
  37. 10
  38. 8
  39. 4
  40. 1

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