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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 842 · 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 8x + 3 = 91, what is x? (a) 11 (b) 88 (c) 12 (d) 10
  2. 2.If 8x + 3 = 2x + 9, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  3. 3.If 4x + 4 = 44, what is x? (a) 40 (b) 10 (c) 12 (d) 11
  4. 4.If x/6 + 8 = 17, what is x? (a) 54 (b) 94 (c) 9 (d) 150
  5. 5.If 4x + 16 = x + 22, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  6. 6.If x/2 + 5 = 15, what is x? (a) 25 (b) 10 (c) 20 (d) 40
  7. 7.If x/5 + 6 = 9, what is x? (a) 3 (b) 75 (c) 15 (d) 39
  8. 8.If 8x + 18 = 2x + 36, what is x? (a) 5 (b) 3 (c) 9 (d) 4
  9. 9.If x/4 + 10 = 13, what is x? (a) 3 (b) 92 (c) 42 (d) 12
  10. 10.If 4x + 2 = 3x + 6, what is x? (a) 5 (b) 8 (c) 4 (d) 6
  11. 11.If 7x + 19 = 3x + 63, what is x? (a) 10 (b) 12 (c) 11 (d) 13
  12. 12.If x/5 + 4 = 13, what is x? (a) 9 (b) 45 (c) 61 (d) 85
  13. 13.If 9x − 10 = 35, what is x? (a) 4 (b) 6 (c) 45 (d) 5
  14. 14.If 2x − 6 = 8, what is x? (a) 7 (b) 14 (c) 1 (d) 8
  15. 15.If 8x + 6 = x + 48, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  16. 16.If x/4 + 1 = 3, what is x? (a) 8 (b) 2 (c) 11 (d) 16
  17. 17.If x/4 + 15 = 20, what is x? (a) 65 (b) 5 (c) 20 (d) 140
  18. 18.If 4x − 10 = 42, what is x? (a) 8 (b) 14 (c) 13 (d) 52
  19. 19.If 9x − 21 = 33, what is x? (a) 5 (b) 54 (c) 7 (d) 6
  20. 20.If x/5 + 4 = 6, what is x? (a) 10 (b) 2 (c) 26 (d) 50
  21. 21.If 5x + 2 = 4x + 14, what is x? (a) 13 (b) 16 (c) 14 (d) 12
  22. 22.If x/4 + 9 = 21, what is x? (a) 48 (b) 120 (c) 75 (d) 12
  23. 23.If 4x − 1 = 27, what is x? (a) 6 (b) 28 (c) 8 (d) 7
  24. 24.If x/3 + 5 = 12, what is x? (a) 7 (b) 51 (c) 31 (d) 21
  25. 25.If 8x + 2 = 50, what is x? (a) 5 (b) 7 (c) 48 (d) 6
  26. 26.If 7x − 1 = 13, what is x? (a) 14 (b) 1 (c) 2 (d) 3
  27. 27.If 8x − 30 = 66, what is x? (a) 11 (b) 13 (c) 12 (d) 96
  28. 28.If 7x + 3 = 6x + 10, what is x? (a) 7 (b) 9 (c) 13 (d) 8
  29. 29.If 7x + 25 = 60, what is x? (a) 35 (b) 4 (c) 6 (d) 5
  30. 30.If 8x + 15 = 135, what is x? (a) 15 (b) 120 (c) 14 (d) 16
  31. 31.If x/3 + 11 = 15, what is x? (a) 34 (b) 12 (c) 4 (d) 78
  32. 32.If 8x + 5 = 37, what is x? (a) 3 (b) 4 (c) 5 (d) 32
  33. 33.If x/4 + 8 = 20, what is x? (a) 48 (b) 112 (c) 12 (d) 72
  34. 34.If 8x − 21 = 11, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  35. 35.If 3x + 15 = 30, what is x? (a) 5 (b) 6 (c) 15 (d) 4
  36. 36.If 4x − 14 = 2, what is x? (a) 16 (b) 4 (c) 3 (d) 5
  37. 37.If x/6 + 10 = 17, what is x? (a) 7 (b) 42 (c) 162 (d) 92
  38. 38.If x/2 + 2 = 6, what is x? (a) 4 (b) 8 (c) 16 (d) 10
  39. 39.If 4x − 15 = 25, what is x? (a) 9 (b) 10 (c) 40 (d) 11
  40. 40.If 8x + 7 = 63, what is x? (a) 6 (b) 7 (c) 8 (d) 56

Answer key

  1. 11
  2. 1
  3. 10
  4. 54
  5. 2
  6. 20
  7. 15
  8. 3
  9. 12
  10. 4
  11. 11
  12. 45
  13. 5
  14. 7
  15. 6
  16. 8
  17. 20
  18. 13
  19. 6
  20. 10
  21. 12
  22. 48
  23. 7
  24. 21
  25. 6
  26. 2
  27. 12
  28. 7
  29. 5
  30. 15
  31. 12
  32. 4
  33. 48
  34. 4
  35. 5
  36. 4
  37. 42
  38. 8
  39. 10
  40. 7

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