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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 327 · 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/6 + 12 = 23, what is x? (a) 66 (b) 210 (c) 11 (d) 126
  2. 2.If 7x + 18 = 3x + 34, what is x? (a) 13 (b) 5 (c) 4 (d) 6
  3. 3.If 8x + 19 = 131, what is x? (a) 112 (b) 13 (c) 15 (d) 14
  4. 4.If 3x + 2 = x + 12, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  5. 5.If x/5 + 15 = 18, what is x? (a) 15 (b) 165 (c) 75 (d) 3
  6. 6.If 3x + 18 = x + 40, what is x? (a) 11 (b) 29 (c) 12 (d) 13
  7. 7.If 6x + 4 = 16, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  8. 8.If 3x + 15 = 2x + 25, what is x? (a) 11 (b) 2 (c) 40 (d) 10
  9. 9.If 9x + 17 = 7x + 21, what is x? (a) 3 (b) 2 (c) 4 (d) 19
  10. 10.If 5x − 26 = 4, what is x? (a) 6 (b) 7 (c) 30 (d) 5
  11. 11.If 7x − 9 = 33, what is x? (a) 42 (b) 5 (c) 7 (d) 6
  12. 12.If 5x + 18 = 93, what is x? (a) 16 (b) 15 (c) 14 (d) 75
  13. 13.If 5x + 11 = x + 47, what is x? (a) 10 (b) 9 (c) 6 (d) 11
  14. 14.If 8x + 13 = 29, what is x? (a) 16 (b) 3 (c) 2 (d) 1
  15. 15.If x/5 + 4 = 12, what is x? (a) 80 (b) 8 (c) 40 (d) 56
  16. 16.If 2x − 1 = 7, what is x? (a) 5 (b) 3 (c) 8 (d) 4
  17. 17.If 2x + 18 = 22, what is x? (a) 20 (b) 3 (c) 4 (d) 2
  18. 18.If 3x − 29 = 13, what is x? (a) 13 (b) 42 (c) 15 (d) 14
  19. 19.If x/2 + 5 = 14, what is x? (a) 9 (b) 23 (c) 38 (d) 18
  20. 20.If 6x − 5 = 49, what is x? (a) 10 (b) 9 (c) 54 (d) 8
  21. 21.If 3x + 11 = 32, what is x? (a) 8 (b) 21 (c) 6 (d) 7
  22. 22.If 4x + 15 = x + 39, what is x? (a) 9 (b) 8 (c) 10 (d) 18
  23. 23.If 4x + 2 = 2x + 12, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  24. 24.If 9x − 9 = 36, what is x? (a) 6 (b) 45 (c) 3 (d) 5
  25. 25.If x/2 + 9 = 14, what is x? (a) 5 (b) 46 (c) 10 (d) 19
  26. 26.If x/3 + 2 = 13, what is x? (a) 11 (b) 37 (c) 45 (d) 33
  27. 27.If 4x + 5 = 3x + 16, what is x? (a) 13 (b) 21 (c) 11 (d) 12
  28. 28.If x/5 + 15 = 19, what is x? (a) 20 (b) 4 (c) 170 (d) 80
  29. 29.If 7x + 1 = 29, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  30. 30.If 6x + 1 = 91, what is x? (a) 14 (b) 15 (c) 16 (d) 90
  31. 31.If x/4 + 9 = 19, what is x? (a) 10 (b) 112 (c) 40 (d) 67
  32. 32.If 2x + 21 = 29, what is x? (a) 8 (b) 5 (c) 25 (d) 4
  33. 33.If 6x + 18 = 108, what is x? (a) 21 (b) 90 (c) 16 (d) 15
  34. 34.If 4x + 6 = x + 33, what is x? (a) 10 (b) 13 (c) 11 (d) 9
  35. 35.If x/2 + 5 = 13, what is x? (a) 16 (b) 21 (c) 36 (d) 8
  36. 36.If 9x + 27 = 45, what is x? (a) 18 (b) 3 (c) 8 (d) 2
  37. 37.If 6x + 27 = 69, what is x? (a) 16 (b) 7 (c) 42 (d) 8
  38. 38.If 5x − 10 = 35, what is x? (a) 9 (b) 5 (c) 45 (d) 10
  39. 39.If 7x + 10 = 38, what is x? (a) 5 (b) 4 (c) 28 (d) 3
  40. 40.If 7x + 18 = 3x + 46, what is x? (a) 8 (b) 7 (c) 9 (d) 16

Answer key

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

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