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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 859 · 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 7x − 10 = 11, what is x? (a) 4 (b) 21 (c) 2 (d) 3
  2. 2.If 7x + 15 = 3x + 47, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  3. 3.If 3x − 23 = 19, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  4. 4.If 3x + 19 = 43, what is x? (a) 8 (b) 7 (c) 9 (d) 24
  5. 5.If 3x − 43 = 2, what is x? (a) 15 (b) 45 (c) 16 (d) 14
  6. 6.If 5x + 23 = 83, what is x? (a) 13 (b) 11 (c) 60 (d) 12
  7. 7.If 4x + 15 = 35, what is x? (a) 5 (b) 6 (c) 4 (d) 20
  8. 8.If x/6 + 4 = 13, what is x? (a) 9 (b) 102 (c) 74 (d) 54
  9. 9.If 5x + 9 = x + 37, what is x? (a) 9 (b) 7 (c) 8 (d) 6
  10. 10.If 5x − 28 = 2, what is x? (a) 5 (b) 7 (c) 6 (d) 30
  11. 11.If 8x − 2 = 54, what is x? (a) 56 (b) 6 (c) 7 (d) 8
  12. 12.If 4x + 17 = 25, what is x? (a) 1 (b) 3 (c) 8 (d) 2
  13. 13.If 9x + 15 = 114, what is x? (a) 12 (b) 10 (c) 11 (d) 99
  14. 14.If 8x + 8 = 48, what is x? (a) 7 (b) 5 (c) 40 (d) 6
  15. 15.If 9x − 8 = 100, what is x? (a) 13 (b) 108 (c) 11 (d) 12
  16. 16.If 2x + 20 = 50, what is x? (a) 35 (b) 16 (c) 15 (d) 30
  17. 17.If 8x − 9 = 87, what is x? (a) 13 (b) 12 (c) 11 (d) 96
  18. 18.If 6x − 63 = 27, what is x? (a) 14 (b) 90 (c) 15 (d) 16
  19. 19.If 4x + 9 = 2x + 11, what is x? (a) 10 (b) 3 (c) 1 (d) 2
  20. 20.If x/2 + 15 = 19, what is x? (a) 4 (b) 68 (c) 8 (d) 23
  21. 21.If 6x + 8 = x + 48, what is x? (a) 8 (b) 10 (c) 7 (d) 9
  22. 22.If x/3 + 1 = 13, what is x? (a) 12 (b) 38 (c) 42 (d) 36
  23. 23.If x/4 + 4 = 8, what is x? (a) 28 (b) 16 (c) 4 (d) 48
  24. 24.If 7x − 6 = 15, what is x? (a) 3 (b) 4 (c) 2 (d) 21
  25. 25.If 8x + 12 = x + 68, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  26. 26.If 2x + 3 = 21, what is x? (a) 9 (b) 10 (c) 12 (d) 18
  27. 27.If 3x + 1 = x + 19, what is x? (a) 10 (b) 8 (c) 9 (d) 11
  28. 28.If 7x + 5 = 3x + 17, what is x? (a) 4 (b) 5 (c) 3 (d) 2
  29. 29.If x/3 + 5 = 14, what is x? (a) 27 (b) 9 (c) 57 (d) 37
  30. 30.If 7x + 1 = 29, what is x? (a) 4 (b) 28 (c) 5 (d) 3
  31. 31.If 8x − 15 = 41, what is x? (a) 6 (b) 56 (c) 7 (d) 8
  32. 32.If x/5 + 4 = 15, what is x? (a) 71 (b) 55 (c) 11 (d) 95
  33. 33.If 4x + 12 = x + 24, what is x? (a) 12 (b) 5 (c) 4 (d) 6
  34. 34.If x/6 + 15 = 20, what is x? (a) 30 (b) 5 (c) 210 (d) 105
  35. 35.If 8x + 25 = 105, what is x? (a) 11 (b) 80 (c) 9 (d) 10
  36. 36.If 8x + 28 = 44, what is x? (a) 16 (b) 9 (c) 3 (d) 2
  37. 37.If 6x + 25 = 37, what is x? (a) 12 (b) 3 (c) 1 (d) 2
  38. 38.If 7x − 18 = 52, what is x? (a) 9 (b) 10 (c) 70 (d) 11
  39. 39.If 3x + 10 = 37, what is x? (a) 10 (b) 9 (c) 8 (d) 27
  40. 40.If 9x + 11 = 128, what is x? (a) 117 (b) 14 (c) 13 (d) 12

Answer key

  1. 3
  2. 8
  3. 14
  4. 8
  5. 15
  6. 12
  7. 5
  8. 54
  9. 7
  10. 6
  11. 7
  12. 2
  13. 11
  14. 5
  15. 12
  16. 15
  17. 12
  18. 15
  19. 1
  20. 8
  21. 8
  22. 36
  23. 16
  24. 3
  25. 8
  26. 9
  27. 9
  28. 3
  29. 27
  30. 4
  31. 7
  32. 55
  33. 4
  34. 30
  35. 10
  36. 2
  37. 2
  38. 10
  39. 9
  40. 13

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