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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 898 · 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 2x − 3 = 7, what is x? (a) 2 (b) 10 (c) 6 (d) 5
  2. 2.If x/5 + 11 = 14, what is x? (a) 15 (b) 125 (c) 3 (d) 59
  3. 3.If 5x + 11 = 76, what is x? (a) 65 (b) 13 (c) 14 (d) 12
  4. 4.If 8x − 4 = 52, what is x? (a) 56 (b) 8 (c) 6 (d) 7
  5. 5.If 6x + 8 = 2x + 12, what is x? (a) 2 (b) 3 (c) 1 (d) 5
  6. 6.If 3x − 5 = 22, what is x? (a) 8 (b) 9 (c) 27 (d) 10
  7. 7.If 8x + 20 = 36, what is x? (a) 2 (b) 3 (c) 7 (d) 16
  8. 8.If 9x − 7 = 20, what is x? (a) 27 (b) 3 (c) 4 (d) 2
  9. 9.If 9x + 28 = 118, what is x? (a) 11 (b) 9 (c) 10 (d) 90
  10. 10.If x/5 + 1 = 13, what is x? (a) 60 (b) 12 (c) 70 (d) 64
  11. 11.If 5x + 1 = 2x + 13, what is x? (a) 4 (b) 3 (c) 5 (d) 6
  12. 12.If 9x + 5 = 41, what is x? (a) 4 (b) 36 (c) 3 (d) 5
  13. 13.If x/4 + 13 = 23, what is x? (a) 10 (b) 144 (c) 40 (d) 79
  14. 14.If 6x + 6 = 2x + 22, what is x? (a) 4 (b) 5 (c) 2 (d) 7
  15. 15.If 3x + 3 = 2x + 9, what is x? (a) 7 (b) 8 (c) 12 (d) 6
  16. 16.If 7x + 17 = 6x + 22, what is x? (a) 7 (b) 5 (c) 6 (d) 39
  17. 17.If 9x + 6 = 114, what is x? (a) 108 (b) 13 (c) 11 (d) 12
  18. 18.If 5x + 23 = 98, what is x? (a) 16 (b) 14 (c) 75 (d) 15
  19. 19.If x/6 + 14 = 18, what is x? (a) 24 (b) 192 (c) 4 (d) 94
  20. 20.If 4x + 8 = 3x + 16, what is x? (a) 10 (b) 24 (c) 9 (d) 8
  21. 21.If 2x − 2 = 2, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  22. 22.If 3x + 11 = 2x + 13, what is x? (a) 3 (b) 4 (c) 2 (d) 24
  23. 23.If 4x − 5 = 3, what is x? (a) 8 (b) 1 (c) 3 (d) 2
  24. 24.If 4x + 29 = 77, what is x? (a) 13 (b) 48 (c) 12 (d) 11
  25. 25.If 6x − 2 = 22, what is x? (a) 4 (b) 24 (c) 5 (d) 3
  26. 26.If 6x + 10 = 5x + 21, what is x? (a) 11 (b) 31 (c) 1 (d) 12
  27. 27.If 8x + 29 = 101, what is x? (a) 9 (b) 72 (c) 8 (d) 10
  28. 28.If 8x + 15 = 111, what is x? (a) 12 (b) 96 (c) 13 (d) 11
  29. 29.If 9x + 9 = 7x + 23, what is x? (a) 9 (b) 8 (c) 16 (d) 7
  30. 30.If 8x − 71 = 17, what is x? (a) 10 (b) 88 (c) 12 (d) 11
  31. 31.If 7x + 19 = 5x + 37, what is x? (a) 28 (b) 9 (c) 11 (d) 10
  32. 32.If 4x + 11 = 3x + 23, what is x? (a) 12 (b) 34 (c) 13 (d) 14
  33. 33.If 9x + 14 = 2x + 70, what is x? (a) 9 (b) 8 (c) 12 (d) 10
  34. 34.If 3x − 7 = 17, what is x? (a) 7 (b) 24 (c) 9 (d) 8
  35. 35.If 6x + 8 = 4x + 20, what is x? (a) 14 (b) 6 (c) 8 (d) 7
  36. 36.If 5x − 11 = 9, what is x? (a) 4 (b) 20 (c) 5 (d) 3
  37. 37.If 8x + 1 = 33, what is x? (a) 5 (b) 32 (c) 3 (d) 4
  38. 38.If 7x + 17 = 6x + 18, what is x? (a) 3 (b) 1 (c) 35 (d) 2
  39. 39.If x/4 + 14 = 18, what is x? (a) 128 (b) 58 (c) 16 (d) 4
  40. 40.If 8x + 4 = 76, what is x? (a) 9 (b) 10 (c) 72 (d) 8

Answer key

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

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