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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 482 · 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 3x + 16 = 37, what is x? (a) 21 (b) 8 (c) 7 (d) 6
  2. 2.If 2x + 13 = 39, what is x? (a) 12 (b) 26 (c) 14 (d) 13
  3. 3.If 5x + 15 = 2x + 21, what is x? (a) 12 (b) 2 (c) 4 (d) 3
  4. 4.If 4x + 26 = 50, what is x? (a) 6 (b) 7 (c) 24 (d) 19
  5. 5.If 4x + 1 = x + 25, what is x? (a) 9 (b) 10 (c) 7 (d) 8
  6. 6.If 9x − 75 = 51, what is x? (a) 15 (b) 126 (c) 13 (d) 14
  7. 7.If 4x − 26 = 2, what is x? (a) 28 (b) 7 (c) 8 (d) 6
  8. 8.If 3x + 28 = 49, what is x? (a) 21 (b) 7 (c) 6 (d) 8
  9. 9.If 9x − 102 = 24, what is x? (a) 126 (b) 15 (c) 14 (d) 13
  10. 10.If 6x + 15 = 63, what is x? (a) 48 (b) 9 (c) 13 (d) 8
  11. 11.If 7x + 1 = 64, what is x? (a) 8 (b) 10 (c) 9 (d) 63
  12. 12.If x/6 + 4 = 7, what is x? (a) 66 (b) 38 (c) 3 (d) 18
  13. 13.If 4x − 4 = 8, what is x? (a) 4 (b) 12 (c) 1 (d) 3
  14. 14.If x/5 + 8 = 17, what is x? (a) 9 (b) 125 (c) 45 (d) 77
  15. 15.If x/4 + 14 = 24, what is x? (a) 40 (b) 152 (c) 10 (d) 82
  16. 16.If 4x + 5 = 2x + 27, what is x? (a) 12 (b) 11 (c) 16 (d) 13
  17. 17.If 5x − 9 = 21, what is x? (a) 7 (b) 6 (c) 30 (d) 5
  18. 18.If 3x + 20 = 26, what is x? (a) 3 (b) 6 (c) 2 (d) 1
  19. 19.If x/3 + 2 = 11, what is x? (a) 9 (b) 27 (c) 39 (d) 31
  20. 20.If 6x − 3 = 21, what is x? (a) 5 (b) 24 (c) 3 (d) 4
  21. 21.If 8x − 55 = 33, what is x? (a) 88 (b) 12 (c) 10 (d) 11
  22. 22.If 7x − 7 = 7, what is x? (a) 14 (b) 2 (c) 3 (d) 1
  23. 23.If 7x + 21 = 56, what is x? (a) 6 (b) 11 (c) 5 (d) 35
  24. 24.If 5x + 9 = 74, what is x? (a) 65 (b) 14 (c) 13 (d) 12
  25. 25.If 7x + 3 = 2x + 63, what is x? (a) 11 (b) 14 (c) 12 (d) 13
  26. 26.If 5x + 11 = 2x + 20, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  27. 27.If 4x − 23 = 13, what is x? (a) 9 (b) 10 (c) 8 (d) 36
  28. 28.If 9x + 4 = 3x + 10, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  29. 29.If 6x + 19 = 61, what is x? (a) 8 (b) 42 (c) 6 (d) 7
  30. 30.If 5x + 11 = 3x + 25, what is x? (a) 8 (b) 7 (c) 9 (d) 18
  31. 31.If x/5 + 8 = 11, what is x? (a) 3 (b) 15 (c) 95 (d) 47
  32. 32.If x/3 + 13 = 18, what is x? (a) 41 (b) 93 (c) 15 (d) 5
  33. 33.If 3x + 19 = 25, what is x? (a) 3 (b) 1 (c) 6 (d) 2
  34. 34.If 4x + 10 = 38, what is x? (a) 8 (b) 7 (c) 28 (d) 12
  35. 35.If 2x + 4 = 22, what is x? (a) 18 (b) 10 (c) 9 (d) 13
  36. 36.If x/6 + 7 = 9, what is x? (a) 96 (b) 2 (c) 12 (d) 47
  37. 37.If 3x + 2 = x + 26, what is x? (a) 12 (b) 13 (c) 14 (d) 6
  38. 38.If 6x − 18 = 18, what is x? (a) 7 (b) 36 (c) 5 (d) 6
  39. 39.If x/5 + 4 = 14, what is x? (a) 10 (b) 66 (c) 90 (d) 50
  40. 40.If 4x + 20 = 72, what is x? (a) 52 (b) 23 (c) 13 (d) 14

Answer key

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

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