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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 883 · 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 4x − 4 = 16, what is x? (a) 6 (b) 20 (c) 5 (d) 3
  2. 2.If x/6 + 3 = 10, what is x? (a) 7 (b) 42 (c) 78 (d) 57
  3. 3.If 8x + 2 = 4x + 42, what is x? (a) 12 (b) 11 (c) 9 (d) 10
  4. 4.If 9x + 3 = 93, what is x? (a) 11 (b) 10 (c) 9 (d) 90
  5. 5.If 8x + 1 = 5x + 19, what is x? (a) 6 (b) 8 (c) 5 (d) 7
  6. 6.If 7x + 20 = x + 26, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  7. 7.If 5x − 14 = 1, what is x? (a) 3 (b) 15 (c) 4 (d) 2
  8. 8.If 6x + 3 = 45, what is x? (a) 6 (b) 42 (c) 8 (d) 7
  9. 9.If 8x − 70 = 26, what is x? (a) 13 (b) 11 (c) 96 (d) 12
  10. 10.If x/5 + 5 = 12, what is x? (a) 35 (b) 55 (c) 85 (d) 7
  11. 11.If 4x − 31 = 5, what is x? (a) 8 (b) 10 (c) 36 (d) 9
  12. 12.If 3x + 28 = 43, what is x? (a) 5 (b) 6 (c) 15 (d) 4
  13. 13.If 3x + 7 = x + 15, what is x? (a) 5 (b) 11 (c) 2 (d) 4
  14. 14.If x/6 + 15 = 27, what is x? (a) 12 (b) 252 (c) 147 (d) 72
  15. 15.If 9x + 24 = 114, what is x? (a) 10 (b) 11 (c) 9 (d) 90
  16. 16.If 4x + 5 = 13, what is x? (a) 2 (b) 1 (c) 3 (d) 8
  17. 17.If 3x + 28 = 55, what is x? (a) 8 (b) 27 (c) 10 (d) 9
  18. 18.If 5x + 26 = 96, what is x? (a) 13 (b) 14 (c) 70 (d) 15
  19. 19.If 9x − 70 = 29, what is x? (a) 12 (b) 99 (c) 11 (d) 10
  20. 20.If 9x − 4 = 131, what is x? (a) 16 (b) 14 (c) 135 (d) 15
  21. 21.If x/2 + 4 = 13, what is x? (a) 34 (b) 22 (c) 9 (d) 18
  22. 22.If 5x − 20 = 30, what is x? (a) 2 (b) 50 (c) 11 (d) 10
  23. 23.If 8x − 41 = 39, what is x? (a) 10 (b) 80 (c) 11 (d) 9
  24. 24.If x/2 + 4 = 15, what is x? (a) 22 (b) 26 (c) 11 (d) 38
  25. 25.If 3x + 2 = 35, what is x? (a) 12 (b) 11 (c) 10 (d) 33
  26. 26.If 4x + 7 = x + 31, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  27. 27.If 2x + 8 = 20, what is x? (a) 7 (b) 6 (c) 12 (d) 14
  28. 28.If x/3 + 2 = 5, what is x? (a) 13 (b) 3 (c) 21 (d) 9
  29. 29.If 6x + 1 = x + 41, what is x? (a) 10 (b) 8 (c) 7 (d) 9
  30. 30.If 7x + 1 = x + 13, what is x? (a) 4 (b) 3 (c) 1 (d) 2
  31. 31.If 6x + 21 = 45, what is x? (a) 5 (b) 4 (c) 11 (d) 24
  32. 32.If 9x + 18 = x + 98, what is x? (a) 8 (b) 11 (c) 12 (d) 10
  33. 33.If 4x + 7 = 3x + 11, what is x? (a) 6 (b) 18 (c) 4 (d) 5
  34. 34.If 3x + 17 = x + 29, what is x? (a) 7 (b) 6 (c) 23 (d) 3
  35. 35.If 7x + 21 = 49, what is x? (a) 28 (b) 5 (c) 10 (d) 4
  36. 36.If 5x − 5 = 10, what is x? (a) 15 (b) 3 (c) 1 (d) 4
  37. 37.If 7x + 28 = 42, what is x? (a) 10 (b) 14 (c) 2 (d) 3
  38. 38.If x/4 + 4 = 6, what is x? (a) 40 (b) 20 (c) 8 (d) 2
  39. 39.If x/2 + 5 = 9, what is x? (a) 8 (b) 28 (c) 13 (d) 4
  40. 40.If 4x + 16 = 52, what is x? (a) 10 (b) 9 (c) 36 (d) 17

Answer key

  1. 5
  2. 42
  3. 10
  4. 10
  5. 6
  6. 1
  7. 3
  8. 7
  9. 12
  10. 35
  11. 9
  12. 5
  13. 4
  14. 72
  15. 10
  16. 2
  17. 9
  18. 14
  19. 11
  20. 15
  21. 18
  22. 10
  23. 10
  24. 22
  25. 11
  26. 8
  27. 6
  28. 9
  29. 8
  30. 2
  31. 4
  32. 10
  33. 4
  34. 6
  35. 4
  36. 3
  37. 2
  38. 8
  39. 8
  40. 9

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