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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 831 · 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/2 + 12 = 14, what is x? (a) 16 (b) 4 (c) 2 (d) 52
  2. 2.If 3x + 2 = x + 14, what is x? (a) 7 (b) 6 (c) 8 (d) 3
  3. 3.If 5x − 33 = 7, what is x? (a) 9 (b) 8 (c) 7 (d) 40
  4. 4.If 6x + 14 = 2x + 18, what is x? (a) 8 (b) 3 (c) 1 (d) 2
  5. 5.If x/3 + 13 = 23, what is x? (a) 56 (b) 108 (c) 30 (d) 10
  6. 6.If 6x + 13 = 67, what is x? (a) 54 (b) 8 (c) 9 (d) 10
  7. 7.If 3x + 11 = x + 19, what is x? (a) 15 (b) 5 (c) 4 (d) 2
  8. 8.If x/4 + 7 = 15, what is x? (a) 53 (b) 88 (c) 8 (d) 32
  9. 9.If 6x + 14 = 56, what is x? (a) 42 (b) 7 (c) 8 (d) 6
  10. 10.If 7x − 3 = 67, what is x? (a) 70 (b) 11 (c) 9 (d) 10
  11. 11.If 3x + 23 = 53, what is x? (a) 10 (b) 11 (c) 30 (d) 9
  12. 12.If 6x + 17 = 3x + 23, what is x? (a) 3 (b) 1 (c) 4 (d) 2
  13. 13.If 3x + 19 = 55, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  14. 14.If x/6 + 8 = 10, what is x? (a) 2 (b) 12 (c) 108 (d) 52
  15. 15.If 6x + 16 = 2x + 36, what is x? (a) 7 (b) 5 (c) 13 (d) 6
  16. 16.If x/3 + 15 = 22, what is x? (a) 111 (b) 51 (c) 21 (d) 7
  17. 17.If 4x + 13 = x + 34, what is x? (a) 6 (b) 9 (c) 7 (d) 8
  18. 18.If 7x + 1 = x + 49, what is x? (a) 9 (b) 8 (c) 6 (d) 10
  19. 19.If 3x + 18 = 51, what is x? (a) 12 (b) 33 (c) 23 (d) 11
  20. 20.If 4x − 7 = 17, what is x? (a) 6 (b) 24 (c) 5 (d) 7
  21. 21.If 5x + 15 = 3x + 35, what is x? (a) 11 (b) 10 (c) 25 (d) 12
  22. 22.If 7x + 3 = 45, what is x? (a) 7 (b) 5 (c) 42 (d) 6
  23. 23.If 4x + 11 = 3x + 18, what is x? (a) 1 (b) 7 (c) 29 (d) 8
  24. 24.If 5x − 41 = 34, what is x? (a) 75 (b) 14 (c) 16 (d) 15
  25. 25.If x/4 + 14 = 20, what is x? (a) 24 (b) 6 (c) 66 (d) 136
  26. 26.If x/6 + 2 = 5, what is x? (a) 3 (b) 42 (c) 18 (d) 28
  27. 27.If 9x − 49 = 50, what is x? (a) 99 (b) 12 (c) 11 (d) 10
  28. 28.If x/3 + 5 = 14, what is x? (a) 9 (b) 37 (c) 57 (d) 27
  29. 29.If 9x − 52 = 20, what is x? (a) 7 (b) 72 (c) 8 (d) 9
  30. 30.If x/2 + 13 = 25, what is x? (a) 37 (b) 76 (c) 24 (d) 12
  31. 31.If 8x − 60 = 44, what is x? (a) 13 (b) 12 (c) 104 (d) 14
  32. 32.If 3x + 5 = x + 13, what is x? (a) 4 (b) 2 (c) 5 (d) 9
  33. 33.If 4x + 3 = 55, what is x? (a) 14 (b) 12 (c) 13 (d) 52
  34. 34.If 9x + 27 = 153, what is x? (a) 14 (b) 20 (c) 15 (d) 126
  35. 35.If 3x − 19 = 26, what is x? (a) 14 (b) 16 (c) 45 (d) 15
  36. 36.If x/5 + 6 = 8, what is x? (a) 34 (b) 70 (c) 2 (d) 10
  37. 37.If 4x + 16 = 2x + 20, what is x? (a) 3 (b) 2 (c) 4 (d) 18
  38. 38.If 2x − 13 = 5, what is x? (a) 10 (b) 8 (c) 9 (d) 18
  39. 39.If x/5 + 2 = 5, what is x? (a) 35 (b) 23 (c) 3 (d) 15
  40. 40.If 3x + 9 = 54, what is x? (a) 45 (b) 15 (c) 16 (d) 21

Answer key

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

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