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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 294 · 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 2x − 4 = 10, what is x? (a) 14 (b) 8 (c) 3 (d) 7
  2. 2.If 5x + 12 = 3x + 28, what is x? (a) 20 (b) 8 (c) 2 (d) 9
  3. 3.If 6x − 34 = 26, what is x? (a) 60 (b) 9 (c) 11 (d) 10
  4. 4.If x/6 + 15 = 22, what is x? (a) 7 (b) 117 (c) 42 (d) 222
  5. 5.If 2x + 5 = 31, what is x? (a) 26 (b) 13 (c) 18 (d) 14
  6. 6.If x/5 + 5 = 10, what is x? (a) 5 (b) 75 (c) 45 (d) 25
  7. 7.If 3x + 3 = 18, what is x? (a) 5 (b) 6 (c) 15 (d) 7
  8. 8.If 7x + 12 = 54, what is x? (a) 42 (b) 6 (c) 5 (d) 7
  9. 9.If 9x + 15 = 105, what is x? (a) 9 (b) 90 (c) 11 (d) 10
  10. 10.If 9x − 34 = 38, what is x? (a) 8 (b) 7 (c) 9 (d) 72
  11. 11.If x/2 + 13 = 16, what is x? (a) 3 (b) 6 (c) 19 (d) 58
  12. 12.If 3x − 24 = 12, what is x? (a) 12 (b) 36 (c) 13 (d) 11
  13. 13.If x/6 + 2 = 4, what is x? (a) 2 (b) 12 (c) 36 (d) 22
  14. 14.If 8x + 8 = 120, what is x? (a) 14 (b) 15 (c) 112 (d) 16
  15. 15.If 4x − 8 = 40, what is x? (a) 12 (b) 8 (c) 48 (d) 13
  16. 16.If x/2 + 15 = 22, what is x? (a) 7 (b) 14 (c) 29 (d) 74
  17. 17.If 3x + 6 = 42, what is x? (a) 16 (b) 36 (c) 13 (d) 12
  18. 18.If x/6 + 10 = 14, what is x? (a) 24 (b) 4 (c) 74 (d) 144
  19. 19.If 8x + 5 = x + 19, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  20. 20.If 5x − 48 = 12, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  21. 21.If 7x − 34 = 1, what is x? (a) 4 (b) 6 (c) 35 (d) 5
  22. 22.If 7x + 16 = 5x + 32, what is x? (a) 10 (b) 9 (c) 8 (d) 24
  23. 23.If 6x + 7 = 79, what is x? (a) 72 (b) 11 (c) 12 (d) 13
  24. 24.If 2x − 21 = 5, what is x? (a) 12 (b) 14 (c) 26 (d) 13
  25. 25.If 9x + 13 = 4x + 18, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  26. 26.If 2x + 8 = 30, what is x? (a) 19 (b) 12 (c) 11 (d) 22
  27. 27.If 5x + 6 = 2x + 18, what is x? (a) 5 (b) 8 (c) 6 (d) 4
  28. 28.If 2x + 25 = 51, what is x? (a) 26 (b) 38 (c) 14 (d) 13
  29. 29.If 5x + 5 = 60, what is x? (a) 12 (b) 11 (c) 13 (d) 55
  30. 30.If 2x + 27 = 33, what is x? (a) 30 (b) 6 (c) 3 (d) 4
  31. 31.If x/3 + 10 = 20, what is x? (a) 10 (b) 50 (c) 30 (d) 90
  32. 32.If 5x + 9 = 4x + 13, what is x? (a) 6 (b) 5 (c) 4 (d) 22
  33. 33.If x/6 + 3 = 6, what is x? (a) 33 (b) 54 (c) 18 (d) 3
  34. 34.If x/5 + 8 = 10, what is x? (a) 10 (b) 90 (c) 42 (d) 2
  35. 35.If 2x + 7 = 23, what is x? (a) 9 (b) 16 (c) 8 (d) 15
  36. 36.If 4x + 3 = x + 21, what is x? (a) 7 (b) 6 (c) 8 (d) 5
  37. 37.If 4x + 6 = 38, what is x? (a) 32 (b) 11 (c) 9 (d) 8
  38. 38.If 5x + 4 = x + 16, what is x? (a) 5 (b) 2 (c) 4 (d) 3
  39. 39.If 3x + 3 = x + 5, what is x? (a) 1 (b) 3 (c) 2 (d) 4
  40. 40.If x/4 + 2 = 11, what is x? (a) 52 (b) 36 (c) 9 (d) 42

Answer key

  1. 7
  2. 8
  3. 10
  4. 42
  5. 13
  6. 25
  7. 5
  8. 6
  9. 10
  10. 8
  11. 6
  12. 12
  13. 12
  14. 14
  15. 12
  16. 14
  17. 12
  18. 24
  19. 2
  20. 12
  21. 5
  22. 8
  23. 12
  24. 13
  25. 1
  26. 11
  27. 4
  28. 13
  29. 11
  30. 3
  31. 30
  32. 4
  33. 18
  34. 10
  35. 8
  36. 6
  37. 8
  38. 3
  39. 1
  40. 36

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