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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 864 · 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 + 7 = 13, what is x? (a) 6 (b) 12 (c) 19 (d) 40
  2. 2.If 4x − 36 = 8, what is x? (a) 12 (b) 44 (c) 11 (d) 10
  3. 3.If 2x + 30 = 42, what is x? (a) 36 (b) 7 (c) 6 (d) 12
  4. 4.If 5x + 14 = 29, what is x? (a) 2 (b) 4 (c) 3 (d) 15
  5. 5.If 4x + 12 = 3x + 16, what is x? (a) 5 (b) 28 (c) 6 (d) 4
  6. 6.If 9x − 25 = 11, what is x? (a) 5 (b) 3 (c) 4 (d) 36
  7. 7.If x/6 + 5 = 16, what is x? (a) 11 (b) 126 (c) 66 (d) 91
  8. 8.If 4x + 6 = 2x + 8, what is x? (a) 2 (b) 7 (c) 1 (d) 3
  9. 9.If 9x + 17 = 7x + 23, what is x? (a) 20 (b) 3 (c) 4 (d) 5
  10. 10.If 9x + 30 = 138, what is x? (a) 13 (b) 108 (c) 12 (d) 11
  11. 11.If x/2 + 8 = 13, what is x? (a) 5 (b) 18 (c) 10 (d) 42
  12. 12.If 3x − 8 = 1, what is x? (a) 9 (b) 2 (c) 4 (d) 3
  13. 13.If 9x + 12 = 7x + 22, what is x? (a) 6 (b) 7 (c) 17 (d) 5
  14. 14.If 8x + 8 = 3x + 23, what is x? (a) 4 (b) 5 (c) 2 (d) 3
  15. 15.If x/5 + 12 = 22, what is x? (a) 170 (b) 98 (c) 10 (d) 50
  16. 16.If 2x − 12 = 4, what is x? (a) 9 (b) 16 (c) 8 (d) 7
  17. 17.If 2x + 5 = 23, what is x? (a) 10 (b) 14 (c) 9 (d) 18
  18. 18.If 7x + 30 = 135, what is x? (a) 14 (b) 105 (c) 16 (d) 15
  19. 19.If x/4 + 10 = 21, what is x? (a) 74 (b) 11 (c) 124 (d) 44
  20. 20.If x/4 + 3 = 5, what is x? (a) 17 (b) 2 (c) 32 (d) 8
  21. 21.If 3x + 4 = x + 12, what is x? (a) 2 (b) 5 (c) 4 (d) 8
  22. 22.If 6x + 15 = 2x + 47, what is x? (a) 10 (b) 9 (c) 4 (d) 8
  23. 23.If 8x + 20 = 5x + 56, what is x? (a) 12 (b) 13 (c) 14 (d) 11
  24. 24.If 7x + 7 = 6x + 13, what is x? (a) 8 (b) 7 (c) 20 (d) 6
  25. 25.If 9x − 115 = 11, what is x? (a) 13 (b) 126 (c) 14 (d) 15
  26. 26.If 3x + 5 = x + 19, what is x? (a) 7 (b) 9 (c) 12 (d) 8
  27. 27.If 2x + 28 = 44, what is x? (a) 8 (b) 16 (c) 36 (d) 9
  28. 28.If 8x + 10 = 6x + 30, what is x? (a) 20 (b) 12 (c) 11 (d) 10
  29. 29.If 5x + 8 = x + 56, what is x? (a) 16 (b) 13 (c) 8 (d) 12
  30. 30.If 3x + 18 = 2x + 24, what is x? (a) 6 (b) 42 (c) 8 (d) 7
  31. 31.If 4x − 35 = 17, what is x? (a) 14 (b) 12 (c) 13 (d) 52
  32. 32.If 4x + 13 = x + 34, what is x? (a) 8 (b) 7 (c) 9 (d) 6
  33. 33.If 4x + 2 = 2x + 12, what is x? (a) 4 (b) 7 (c) 5 (d) 6
  34. 34.If x/5 + 7 = 13, what is x? (a) 100 (b) 58 (c) 6 (d) 30
  35. 35.If 9x − 2 = 52, what is x? (a) 5 (b) 54 (c) 6 (d) 7
  36. 36.If 7x + 14 = 98, what is x? (a) 12 (b) 16 (c) 84 (d) 13
  37. 37.If x/2 + 7 = 19, what is x? (a) 12 (b) 52 (c) 31 (d) 24
  38. 38.If 5x − 37 = 8, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  39. 39.If 5x − 1 = 69, what is x? (a) 70 (b) 15 (c) 14 (d) 13
  40. 40.If 2x + 22 = 48, what is x? (a) 35 (b) 26 (c) 13 (d) 14

Answer key

  1. 12
  2. 11
  3. 6
  4. 3
  5. 4
  6. 4
  7. 66
  8. 1
  9. 3
  10. 12
  11. 10
  12. 3
  13. 5
  14. 3
  15. 50
  16. 8
  17. 9
  18. 15
  19. 44
  20. 8
  21. 4
  22. 8
  23. 12
  24. 6
  25. 14
  26. 7
  27. 8
  28. 10
  29. 12
  30. 6
  31. 13
  32. 7
  33. 5
  34. 30
  35. 6
  36. 12
  37. 24
  38. 9
  39. 14
  40. 13

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