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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 106 · 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 7x − 22 = 55, what is x? (a) 11 (b) 12 (c) 10 (d) 77
  2. 2.If 2x − 19 = 1, what is x? (a) 11 (b) 20 (c) 9 (d) 10
  3. 3.If 6x − 26 = 34, what is x? (a) 11 (b) 10 (c) 9 (d) 60
  4. 4.If 7x + 11 = 102, what is x? (a) 91 (b) 14 (c) 13 (d) 12
  5. 5.If x/5 + 12 = 22, what is x? (a) 170 (b) 10 (c) 98 (d) 50
  6. 6.If 6x + 11 = 5x + 22, what is x? (a) 1 (b) 11 (c) 12 (d) 33
  7. 7.If 8x + 14 = x + 77, what is x? (a) 10 (b) 9 (c) 13 (d) 7
  8. 8.If 5x + 23 = 43, what is x? (a) 5 (b) 20 (c) 4 (d) 3
  9. 9.If 5x − 22 = 8, what is x? (a) 6 (b) 30 (c) 5 (d) 7
  10. 10.If 6x + 3 = 4x + 19, what is x? (a) 9 (b) 11 (c) 10 (d) 8
  11. 11.If 7x + 15 = 6x + 19, what is x? (a) 6 (b) 34 (c) 4 (d) 5
  12. 12.If x/5 + 15 = 24, what is x? (a) 105 (b) 195 (c) 9 (d) 45
  13. 13.If 6x + 16 = x + 21, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  14. 14.If 9x + 11 = 7x + 23, what is x? (a) 8 (b) 17 (c) 7 (d) 6
  15. 15.If x/2 + 5 = 13, what is x? (a) 8 (b) 36 (c) 16 (d) 21
  16. 16.If 6x + 7 = 4x + 29, what is x? (a) 13 (b) 11 (c) 18 (d) 12
  17. 17.If 2x + 20 = 30, what is x? (a) 5 (b) 25 (c) 6 (d) 10
  18. 18.If 3x + 4 = 31, what is x? (a) 9 (b) 8 (c) 27 (d) 10
  19. 19.If x/4 + 5 = 8, what is x? (a) 27 (b) 3 (c) 12 (d) 52
  20. 20.If 7x + 14 = 5x + 16, what is x? (a) 2 (b) 3 (c) 15 (d) 1
  21. 21.If 9x + 13 = x + 61, what is x? (a) 7 (b) 8 (c) 6 (d) 5
  22. 22.If x/2 + 8 = 19, what is x? (a) 11 (b) 22 (c) 30 (d) 54
  23. 23.If x/4 + 6 = 14, what is x? (a) 80 (b) 50 (c) 8 (d) 32
  24. 24.If 3x − 19 = 14, what is x? (a) 10 (b) 33 (c) 11 (d) 12
  25. 25.If 2x + 17 = 21, what is x? (a) 4 (b) 3 (c) 2 (d) 19
  26. 26.If 3x + 30 = 39, what is x? (a) 23 (b) 3 (c) 4 (d) 9
  27. 27.If x/6 + 3 = 8, what is x? (a) 5 (b) 30 (c) 45 (d) 66
  28. 28.If 2x − 1 = 3, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  29. 29.If x/3 + 5 = 15, what is x? (a) 40 (b) 30 (c) 60 (d) 10
  30. 30.If 6x + 23 = 41, what is x? (a) 3 (b) 18 (c) 2 (d) 4
  31. 31.If 3x + 3 = 45, what is x? (a) 16 (b) 42 (c) 15 (d) 14
  32. 32.If 5x + 3 = 3x + 5, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  33. 33.If 5x + 19 = 3x + 25, what is x? (a) 3 (b) 4 (c) 22 (d) 5
  34. 34.If x/2 + 3 = 8, what is x? (a) 5 (b) 13 (c) 22 (d) 10
  35. 35.If 4x + 15 = 51, what is x? (a) 10 (b) 36 (c) 8 (d) 9
  36. 36.If 3x + 17 = 41, what is x? (a) 7 (b) 9 (c) 8 (d) 24
  37. 37.If x/4 + 9 = 13, what is x? (a) 16 (b) 4 (c) 88 (d) 43
  38. 38.If 6x + 3 = 2x + 27, what is x? (a) 6 (b) 8 (c) 3 (d) 7
  39. 39.If 3x + 6 = 27, what is x? (a) 21 (b) 7 (c) 11 (d) 8
  40. 40.If 8x − 52 = 60, what is x? (a) 1 (b) 14 (c) 15 (d) 112

Answer key

  1. 11
  2. 10
  3. 10
  4. 13
  5. 50
  6. 11
  7. 9
  8. 4
  9. 6
  10. 8
  11. 4
  12. 45
  13. 1
  14. 6
  15. 16
  16. 11
  17. 5
  18. 9
  19. 12
  20. 1
  21. 6
  22. 22
  23. 32
  24. 11
  25. 2
  26. 3
  27. 30
  28. 2
  29. 30
  30. 3
  31. 14
  32. 1
  33. 3
  34. 10
  35. 9
  36. 8
  37. 16
  38. 6
  39. 7
  40. 14

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