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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 846 · 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 x/2 + 14 = 24, what is x? (a) 10 (b) 20 (c) 76 (d) 34
  2. 2.If 7x + 2 = 5x + 18, what is x? (a) 7 (b) 8 (c) 9 (d) 10
  3. 3.If 5x + 7 = x + 11, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  4. 4.If 3x + 13 = 58, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  5. 5.If x/5 + 6 = 10, what is x? (a) 4 (b) 44 (c) 80 (d) 20
  6. 6.If 7x + 21 = 91, what is x? (a) 11 (b) 10 (c) 70 (d) 16
  7. 7.If x/6 + 3 = 6, what is x? (a) 3 (b) 33 (c) 18 (d) 54
  8. 8.If x/6 + 12 = 21, what is x? (a) 54 (b) 198 (c) 9 (d) 114
  9. 9.If 8x + 14 = x + 49, what is x? (a) 9 (b) 5 (c) 7 (d) 6
  10. 10.If 9x − 39 = 6, what is x? (a) 6 (b) 5 (c) 4 (d) 45
  11. 11.If x/2 + 2 = 9, what is x? (a) 14 (b) 22 (c) 16 (d) 7
  12. 12.If 9x + 18 = 3x + 24, what is x? (a) 3 (b) 2 (c) 1 (d) 7
  13. 13.If 5x + 13 = 78, what is x? (a) 14 (b) 13 (c) 65 (d) 12
  14. 14.If x/2 + 7 = 18, what is x? (a) 50 (b) 29 (c) 11 (d) 22
  15. 15.If 6x − 23 = 7, what is x? (a) 4 (b) 30 (c) 6 (d) 5
  16. 16.If 2x − 3 = 1, what is x? (a) 2 (b) 4 (c) 3 (d) 1
  17. 17.If 4x + 12 = 64, what is x? (a) 13 (b) 14 (c) 52 (d) 19
  18. 18.If 7x + 2 = 5x + 12, what is x? (a) 4 (b) 6 (c) 7 (d) 5
  19. 19.If 3x + 24 = 45, what is x? (a) 23 (b) 21 (c) 7 (d) 8
  20. 20.If x/2 + 10 = 22, what is x? (a) 12 (b) 34 (c) 64 (d) 24
  21. 21.If 7x + 1 = 4x + 37, what is x? (a) 14 (b) 11 (c) 12 (d) 13
  22. 22.If 7x + 15 = 57, what is x? (a) 42 (b) 7 (c) 5 (d) 6
  23. 23.If 4x + 15 = 2x + 21, what is x? (a) 1 (b) 3 (c) 18 (d) 4
  24. 24.If 4x + 23 = 55, what is x? (a) 32 (b) 9 (c) 7 (d) 8
  25. 25.If x/5 + 4 = 14, what is x? (a) 66 (b) 10 (c) 50 (d) 90
  26. 26.If x/5 + 5 = 10, what is x? (a) 75 (b) 5 (c) 45 (d) 25
  27. 27.If 7x + 15 = 2x + 35, what is x? (a) 5 (b) 4 (c) 10 (d) 6
  28. 28.If 7x − 73 = 32, what is x? (a) 14 (b) 15 (c) 105 (d) 16
  29. 29.If 6x + 12 = 42, what is x? (a) 6 (b) 9 (c) 5 (d) 30
  30. 30.If 8x + 29 = 101, what is x? (a) 8 (b) 10 (c) 9 (d) 72
  31. 31.If x/2 + 14 = 23, what is x? (a) 74 (b) 32 (c) 9 (d) 18
  32. 32.If 8x − 48 = 64, what is x? (a) 14 (b) 112 (c) 2 (d) 15
  33. 33.If 5x + 17 = 2x + 38, what is x? (a) 9 (b) 8 (c) 7 (d) 3
  34. 34.If 3x + 26 = 35, what is x? (a) 2 (b) 3 (c) 9 (d) 4
  35. 35.If 5x − 23 = 22, what is x? (a) 8 (b) 45 (c) 10 (d) 9
  36. 36.If 5x − 6 = 14, what is x? (a) 20 (b) 5 (c) 4 (d) 3
  37. 37.If 6x + 9 = 51, what is x? (a) 42 (b) 10 (c) 7 (d) 8
  38. 38.If 7x − 47 = 2, what is x? (a) 49 (b) 8 (c) 6 (d) 7
  39. 39.If 6x + 16 = 2x + 48, what is x? (a) 16 (b) 9 (c) 8 (d) 4
  40. 40.If x/4 + 6 = 18, what is x? (a) 48 (b) 12 (c) 96 (d) 66

Answer key

  1. 20
  2. 8
  3. 1
  4. 15
  5. 20
  6. 10
  7. 18
  8. 54
  9. 5
  10. 5
  11. 14
  12. 1
  13. 13
  14. 22
  15. 5
  16. 2
  17. 13
  18. 5
  19. 7
  20. 24
  21. 12
  22. 6
  23. 3
  24. 8
  25. 50
  26. 25
  27. 4
  28. 15
  29. 5
  30. 9
  31. 18
  32. 14
  33. 7
  34. 3
  35. 9
  36. 4
  37. 7
  38. 7
  39. 8
  40. 48

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