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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 492 · 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 + 7 = 11, what is x? (a) 108 (b) 24 (c) 4 (d) 59
  2. 2.If 3x + 11 = 50, what is x? (a) 14 (b) 39 (c) 13 (d) 12
  3. 3.If x/4 + 15 = 22, what is x? (a) 7 (b) 148 (c) 73 (d) 28
  4. 4.If x/3 + 2 = 13, what is x? (a) 33 (b) 37 (c) 45 (d) 11
  5. 5.If 7x + 13 = 3x + 17, what is x? (a) 4 (b) 1 (c) 3 (d) 2
  6. 6.If x/3 + 13 = 20, what is x? (a) 47 (b) 21 (c) 99 (d) 7
  7. 7.If x/4 + 11 = 23, what is x? (a) 48 (b) 81 (c) 136 (d) 12
  8. 8.If 8x + 17 = 41, what is x? (a) 3 (b) 2 (c) 24 (d) 4
  9. 9.If 5x + 18 = 58, what is x? (a) 8 (b) 9 (c) 7 (d) 40
  10. 10.If x/2 + 2 = 11, what is x? (a) 20 (b) 26 (c) 18 (d) 9
  11. 11.If 6x + 2 = 20, what is x? (a) 18 (b) 2 (c) 3 (d) 4
  12. 12.If x/4 + 4 = 8, what is x? (a) 4 (b) 28 (c) 16 (d) 48
  13. 13.If 5x + 26 = 56, what is x? (a) 5 (b) 6 (c) 30 (d) 7
  14. 14.If 4x − 42 = 14, what is x? (a) 13 (b) 15 (c) 14 (d) 56
  15. 15.If 5x + 4 = 29, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  16. 16.If 5x − 8 = 2, what is x? (a) 2 (b) 3 (c) 1 (d) 10
  17. 17.If 7x + 17 = 2x + 67, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  18. 18.If 2x − 7 = 3, what is x? (a) 4 (b) 5 (c) 6 (d) 10
  19. 19.If 9x − 16 = 38, what is x? (a) 6 (b) 7 (c) 5 (d) 54
  20. 20.If 8x + 7 = 31, what is x? (a) 3 (b) 24 (c) 2 (d) 4
  21. 21.If 2x − 6 = 18, what is x? (a) 24 (b) 12 (c) 13 (d) 6
  22. 22.If x/3 + 5 = 16, what is x? (a) 11 (b) 63 (c) 33 (d) 43
  23. 23.If 3x − 24 = 15, what is x? (a) 39 (b) 12 (c) 13 (d) 14
  24. 24.If 2x − 9 = 9, what is x? (a) 10 (b) 18 (c) 8 (d) 9
  25. 25.If x/2 + 3 = 14, what is x? (a) 34 (b) 25 (c) 22 (d) 11
  26. 26.If 6x + 16 = 5x + 17, what is x? (a) 3 (b) 2 (c) 33 (d) 1
  27. 27.If 9x − 30 = 6, what is x? (a) 5 (b) 4 (c) 3 (d) 36
  28. 28.If x/2 + 12 = 15, what is x? (a) 18 (b) 54 (c) 3 (d) 6
  29. 29.If 2x + 18 = 28, what is x? (a) 10 (b) 23 (c) 5 (d) 6
  30. 30.If x/2 + 4 = 10, what is x? (a) 28 (b) 16 (c) 6 (d) 12
  31. 31.If 6x − 2 = 28, what is x? (a) 4 (b) 30 (c) 5 (d) 6
  32. 32.If 3x + 6 = x + 8, what is x? (a) 3 (b) 7 (c) 1 (d) 2
  33. 33.If 8x + 11 = x + 25, what is x? (a) 3 (b) 2 (c) 4 (d) 1
  34. 34.If x/3 + 14 = 21, what is x? (a) 49 (b) 105 (c) 21 (d) 7
  35. 35.If 5x + 24 = 44, what is x? (a) 20 (b) 5 (c) 3 (d) 4
  36. 36.If x/2 + 11 = 16, what is x? (a) 5 (b) 10 (c) 54 (d) 21
  37. 37.If 6x + 22 = 100, what is x? (a) 12 (b) 14 (c) 13 (d) 78
  38. 38.If 5x − 11 = 9, what is x? (a) 4 (b) 3 (c) 5 (d) 20
  39. 39.If 3x − 1 = 5, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  40. 40.If 6x + 19 = 4x + 43, what is x? (a) 12 (b) 14 (c) 31 (d) 13

Answer key

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

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