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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 953 · 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 − 4 = 20, what is x? (a) 24 (b) 2 (c) 4 (d) 3
  2. 2.If 3x + 7 = 31, what is x? (a) 24 (b) 7 (c) 9 (d) 8
  3. 3.If 5x + 18 = x + 42, what is x? (a) 4 (b) 6 (c) 15 (d) 7
  4. 4.If 4x + 15 = x + 45, what is x? (a) 20 (b) 10 (c) 11 (d) 6
  5. 5.If 2x + 12 = 22, what is x? (a) 6 (b) 5 (c) 10 (d) 17
  6. 6.If 3x + 13 = 55, what is x? (a) 15 (b) 42 (c) 14 (d) 13
  7. 7.If 5x − 10 = 5, what is x? (a) 2 (b) 3 (c) 15 (d) 4
  8. 8.If x/4 + 10 = 15, what is x? (a) 20 (b) 5 (c) 50 (d) 100
  9. 9.If x/5 + 9 = 16, what is x? (a) 7 (b) 35 (c) 125 (d) 71
  10. 10.If 8x − 93 = 19, what is x? (a) 15 (b) 14 (c) 13 (d) 112
  11. 11.If 9x + 18 = 45, what is x? (a) 7 (b) 3 (c) 27 (d) 4
  12. 12.If 2x + 26 = 52, what is x? (a) 14 (b) 39 (c) 13 (d) 26
  13. 13.If 9x + 3 = x + 67, what is x? (a) 7 (b) 9 (c) 10 (d) 8
  14. 14.If 7x + 5 = 26, what is x? (a) 21 (b) 4 (c) 3 (d) 2
  15. 15.If 6x + 17 = 65, what is x? (a) 9 (b) 7 (c) 8 (d) 48
  16. 16.If 8x − 23 = 17, what is x? (a) 40 (b) 6 (c) 4 (d) 5
  17. 17.If 9x + 6 = 5x + 50, what is x? (a) 14 (b) 13 (c) 11 (d) 12
  18. 18.If 4x + 7 = x + 16, what is x? (a) 4 (b) 3 (c) 5 (d) 2
  19. 19.If 7x + 27 = 104, what is x? (a) 12 (b) 10 (c) 11 (d) 77
  20. 20.If 7x + 7 = x + 73, what is x? (a) 12 (b) 13 (c) 10 (d) 11
  21. 21.If 3x + 17 = x + 27, what is x? (a) 6 (b) 22 (c) 7 (d) 5
  22. 22.If 9x + 28 = 127, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  23. 23.If 5x − 22 = 3, what is x? (a) 6 (b) 4 (c) 25 (d) 5
  24. 24.If 5x − 35 = 5, what is x? (a) 9 (b) 8 (c) 7 (d) 40
  25. 25.If 4x − 4 = 20, what is x? (a) 4 (b) 6 (c) 7 (d) 24
  26. 26.If 2x + 18 = 48, what is x? (a) 15 (b) 16 (c) 33 (d) 30
  27. 27.If 7x + 10 = 80, what is x? (a) 10 (b) 70 (c) 11 (d) 9
  28. 28.If 3x + 8 = 2x + 9, what is x? (a) 1 (b) 3 (c) 17 (d) 2
  29. 29.If 8x + 2 = x + 9, what is x? (a) 2 (b) 4 (c) 1 (d) 3
  30. 30.If 4x + 1 = x + 31, what is x? (a) 10 (b) 6 (c) 11 (d) 12
  31. 31.If 3x + 6 = 2x + 7, what is x? (a) 3 (b) 2 (c) 1 (d) 13
  32. 32.If x/2 + 9 = 11, what is x? (a) 13 (b) 40 (c) 2 (d) 4
  33. 33.If x/4 + 12 = 21, what is x? (a) 72 (b) 36 (c) 132 (d) 9
  34. 34.If 3x + 18 = x + 26, what is x? (a) 22 (b) 2 (c) 4 (d) 5
  35. 35.If 6x + 9 = 81, what is x? (a) 13 (b) 15 (c) 72 (d) 12
  36. 36.If 4x + 17 = x + 50, what is x? (a) 11 (b) 10 (c) 13 (d) 12
  37. 37.If 4x + 20 = 2x + 24, what is x? (a) 22 (b) 4 (c) 2 (d) 3
  38. 38.If 4x − 1 = 7, what is x? (a) 8 (b) 2 (c) 1 (d) 3
  39. 39.If 7x + 12 = 6x + 22, what is x? (a) 34 (b) 11 (c) 12 (d) 10
  40. 40.If 3x + 9 = 30, what is x? (a) 8 (b) 21 (c) 13 (d) 7

Answer key

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

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