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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 897 · 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 5x + 15 = x + 23, what is x? (a) 4 (b) 2 (c) 3 (d) 1
  2. 2.If 5x + 12 = 3x + 32, what is x? (a) 22 (b) 12 (c) 11 (d) 10
  3. 3.If 5x + 18 = 38, what is x? (a) 5 (b) 3 (c) 4 (d) 20
  4. 4.If 8x − 7 = 73, what is x? (a) 10 (b) 11 (c) 9 (d) 80
  5. 5.If 9x + 28 = 46, what is x? (a) 18 (b) 3 (c) 2 (d) 1
  6. 6.If 7x + 22 = 85, what is x? (a) 8 (b) 63 (c) 9 (d) 10
  7. 7.If 7x + 14 = 105, what is x? (a) 91 (b) 17 (c) 14 (d) 13
  8. 8.If 8x − 6 = 10, what is x? (a) 16 (b) 3 (c) 1 (d) 2
  9. 9.If 5x + 14 = 29, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  10. 10.If 9x + 14 = 6x + 35, what is x? (a) 8 (b) 9 (c) 6 (d) 7
  11. 11.If 4x + 9 = 25, what is x? (a) 16 (b) 4 (c) 5 (d) 3
  12. 12.If 8x + 18 = 5x + 27, what is x? (a) 5 (b) 15 (c) 4 (d) 3
  13. 13.If 7x + 7 = 21, what is x? (a) 14 (b) 4 (c) 3 (d) 2
  14. 14.If 6x + 6 = 30, what is x? (a) 6 (b) 5 (c) 4 (d) 24
  15. 15.If 2x + 30 = 56, what is x? (a) 13 (b) 43 (c) 14 (d) 26
  16. 16.If 3x − 8 = 10, what is x? (a) 6 (b) 18 (c) 5 (d) 7
  17. 17.If 9x + 4 = 2x + 88, what is x? (a) 14 (b) 12 (c) 13 (d) 11
  18. 18.If 5x + 18 = 58, what is x? (a) 40 (b) 8 (c) 7 (d) 9
  19. 19.If 5x + 17 = x + 53, what is x? (a) 9 (b) 6 (c) 10 (d) 11
  20. 20.If 5x − 24 = 21, what is x? (a) 45 (b) 10 (c) 8 (d) 9
  21. 21.If x/2 + 9 = 13, what is x? (a) 4 (b) 44 (c) 8 (d) 17
  22. 22.If 4x + 4 = x + 34, what is x? (a) 10 (b) 12 (c) 11 (d) 6
  23. 23.If 5x + 2 = x + 50, what is x? (a) 14 (b) 12 (c) 13 (d) 8
  24. 24.If 6x + 28 = 76, what is x? (a) 48 (b) 9 (c) 7 (d) 8
  25. 25.If 6x − 5 = 7, what is x? (a) 3 (b) 12 (c) 2 (d) 1
  26. 26.If 6x + 15 = 3x + 48, what is x? (a) 11 (b) 13 (c) 21 (d) 12
  27. 27.If 2x − 5 = 11, what is x? (a) 3 (b) 16 (c) 9 (d) 8
  28. 28.If 4x + 29 = 37, what is x? (a) 2 (b) 8 (c) 3 (d) 1
  29. 29.If 7x + 7 = x + 25, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  30. 30.If 5x + 5 = 60, what is x? (a) 12 (b) 55 (c) 13 (d) 11
  31. 31.If x/4 + 2 = 8, what is x? (a) 30 (b) 24 (c) 40 (d) 6
  32. 32.If 3x + 7 = x + 31, what is x? (a) 12 (b) 19 (c) 13 (d) 6
  33. 33.If 9x − 27 = 99, what is x? (a) 14 (b) 15 (c) 126 (d) 8
  34. 34.If x/2 + 14 = 26, what is x? (a) 38 (b) 80 (c) 24 (d) 12
  35. 35.If x/6 + 10 = 16, what is x? (a) 6 (b) 36 (c) 86 (d) 156
  36. 36.If 2x + 7 = 25, what is x? (a) 16 (b) 18 (c) 9 (d) 10
  37. 37.If 9x + 6 = 69, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  38. 38.If 6x + 12 = 102, what is x? (a) 19 (b) 16 (c) 90 (d) 15
  39. 39.If 3x + 10 = 37, what is x? (a) 27 (b) 10 (c) 8 (d) 9
  40. 40.If 6x − 17 = 1, what is x? (a) 4 (b) 2 (c) 3 (d) 18

Answer key

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

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