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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 896 · 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 3x + 2 = 2x + 5, what is x? (a) 7 (b) 5 (c) 4 (d) 3
  2. 2.If x/4 + 8 = 13, what is x? (a) 5 (b) 44 (c) 20 (d) 84
  3. 3.If 8x + 10 = x + 73, what is x? (a) 7 (b) 9 (c) 10 (d) 11
  4. 4.If 7x + 4 = 4x + 22, what is x? (a) 7 (b) 5 (c) 6 (d) 8
  5. 5.If 6x + 12 = 96, what is x? (a) 15 (b) 84 (c) 18 (d) 14
  6. 6.If x/6 + 14 = 24, what is x? (a) 130 (b) 10 (c) 60 (d) 228
  7. 7.If x/5 + 4 = 15, what is x? (a) 11 (b) 55 (c) 95 (d) 71
  8. 8.If 5x + 2 = 37, what is x? (a) 8 (b) 7 (c) 35 (d) 6
  9. 9.If 7x + 19 = 4x + 52, what is x? (a) 11 (b) 12 (c) 13 (d) 3
  10. 10.If 8x + 16 = 7x + 18, what is x? (a) 2 (b) 34 (c) 4 (d) 3
  11. 11.If 3x + 17 = 2x + 20, what is x? (a) 5 (b) 4 (c) 37 (d) 3
  12. 12.If 6x + 5 = 2x + 53, what is x? (a) 13 (b) 14 (c) 6 (d) 12
  13. 13.If 3x + 7 = 28, what is x? (a) 7 (b) 6 (c) 8 (d) 21
  14. 14.If 9x − 119 = 7, what is x? (a) 14 (b) 126 (c) 13 (d) 15
  15. 15.If 3x + 3 = 2x + 13, what is x? (a) 11 (b) 16 (c) 10 (d) 2
  16. 16.If 8x + 29 = 85, what is x? (a) 7 (b) 56 (c) 8 (d) 6
  17. 17.If 2x + 8 = 34, what is x? (a) 21 (b) 13 (c) 26 (d) 14
  18. 18.If x/2 + 3 = 11, what is x? (a) 19 (b) 28 (c) 8 (d) 16
  19. 19.If 6x + 4 = 28, what is x? (a) 5 (b) 3 (c) 24 (d) 4
  20. 20.If x/2 + 10 = 19, what is x? (a) 9 (b) 28 (c) 58 (d) 18
  21. 21.If x/3 + 10 = 13, what is x? (a) 29 (b) 9 (c) 69 (d) 3
  22. 22.If x/6 + 15 = 24, what is x? (a) 129 (b) 54 (c) 234 (d) 9
  23. 23.If 4x + 5 = 21, what is x? (a) 5 (b) 3 (c) 16 (d) 4
  24. 24.If 2x − 5 = 23, what is x? (a) 15 (b) 28 (c) 14 (d) 9
  25. 25.If x/4 + 15 = 26, what is x? (a) 44 (b) 164 (c) 89 (d) 11
  26. 26.If 2x − 16 = 10, what is x? (a) 13 (b) 26 (c) 12 (d) 14
  27. 27.If x/6 + 1 = 4, what is x? (a) 30 (b) 23 (c) 3 (d) 18
  28. 28.If 8x − 4 = 28, what is x? (a) 3 (b) 32 (c) 4 (d) 5
  29. 29.If x/3 + 10 = 16, what is x? (a) 38 (b) 18 (c) 6 (d) 78
  30. 30.If 6x + 11 = 47, what is x? (a) 5 (b) 36 (c) 6 (d) 7
  31. 31.If 8x + 28 = 124, what is x? (a) 96 (b) 13 (c) 12 (d) 19
  32. 32.If 5x + 19 = 4x + 26, what is x? (a) 8 (b) 45 (c) 9 (d) 7
  33. 33.If 2x − 5 = 11, what is x? (a) 9 (b) 16 (c) 3 (d) 8
  34. 34.If 6x + 14 = 3x + 38, what is x? (a) 9 (b) 8 (c) 10 (d) 7
  35. 35.If 5x + 30 = 90, what is x? (a) 13 (b) 12 (c) 60 (d) 24
  36. 36.If 3x + 9 = 48, what is x? (a) 39 (b) 13 (c) 14 (d) 19
  37. 37.If x/3 + 4 = 14, what is x? (a) 10 (b) 54 (c) 30 (d) 38
  38. 38.If 8x + 7 = 5x + 22, what is x? (a) 4 (b) 7 (c) 6 (d) 5
  39. 39.If 8x + 8 = 4x + 16, what is x? (a) 3 (b) 6 (c) 2 (d) 4
  40. 40.If 3x − 20 = 7, what is x? (a) 10 (b) 8 (c) 27 (d) 9

Answer key

  1. 3
  2. 20
  3. 9
  4. 6
  5. 14
  6. 60
  7. 55
  8. 7
  9. 11
  10. 2
  11. 3
  12. 12
  13. 7
  14. 14
  15. 10
  16. 7
  17. 13
  18. 16
  19. 4
  20. 18
  21. 9
  22. 54
  23. 4
  24. 14
  25. 44
  26. 13
  27. 18
  28. 4
  29. 18
  30. 6
  31. 12
  32. 7
  33. 8
  34. 8
  35. 12
  36. 13
  37. 30
  38. 5
  39. 2
  40. 9

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