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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 932 · 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 + 19 = x + 41, what is x? (a) 12 (b) 30 (c) 11 (d) 13
  2. 2.If 4x + 14 = x + 50, what is x? (a) 13 (b) 14 (c) 11 (d) 12
  3. 3.If 3x + 21 = 66, what is x? (a) 45 (b) 29 (c) 16 (d) 15
  4. 4.If 9x + 23 = 77, what is x? (a) 7 (b) 54 (c) 6 (d) 5
  5. 5.If 3x − 12 = 3, what is x? (a) 6 (b) 15 (c) 4 (d) 5
  6. 6.If 3x − 4 = 38, what is x? (a) 42 (b) 14 (c) 13 (d) 15
  7. 7.If x/6 + 2 = 4, what is x? (a) 22 (b) 12 (c) 2 (d) 36
  8. 8.If 4x − 26 = 6, what is x? (a) 9 (b) 7 (c) 32 (d) 8
  9. 9.If 3x − 12 = 12, what is x? (a) 8 (b) 7 (c) 24 (d) 9
  10. 10.If 5x + 4 = 79, what is x? (a) 15 (b) 16 (c) 14 (d) 75
  11. 11.If 4x + 2 = 10, what is x? (a) 2 (b) 8 (c) 3 (d) 1
  12. 12.If 9x + 14 = 6x + 35, what is x? (a) 8 (b) 6 (c) 7 (d) 9
  13. 13.If x/2 + 4 = 7, what is x? (a) 3 (b) 22 (c) 6 (d) 10
  14. 14.If 9x − 5 = 67, what is x? (a) 7 (b) 8 (c) 72 (d) 9
  15. 15.If 7x + 20 = 69, what is x? (a) 8 (b) 49 (c) 6 (d) 7
  16. 16.If 4x − 5 = 47, what is x? (a) 13 (b) 12 (c) 14 (d) 52
  17. 17.If 6x + 1 = 3x + 7, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  18. 18.If x/2 + 1 = 9, what is x? (a) 17 (b) 16 (c) 20 (d) 8
  19. 19.If 7x + 6 = 6x + 7, what is x? (a) 3 (b) 13 (c) 1 (d) 2
  20. 20.If x/5 + 4 = 6, what is x? (a) 50 (b) 26 (c) 2 (d) 10
  21. 21.If 8x + 25 = 145, what is x? (a) 14 (b) 120 (c) 16 (d) 15
  22. 22.If 9x + 22 = 67, what is x? (a) 5 (b) 6 (c) 4 (d) 45
  23. 23.If 6x + 19 = 4x + 39, what is x? (a) 2 (b) 10 (c) 11 (d) 29
  24. 24.If 8x − 4 = 108, what is x? (a) 14 (b) 112 (c) 13 (d) 15
  25. 25.If 9x + 12 = 7x + 24, what is x? (a) 6 (b) 8 (c) 18 (d) 7
  26. 26.If 8x + 1 = 6x + 7, what is x? (a) 4 (b) 2 (c) 5 (d) 3
  27. 27.If 5x − 53 = 7, what is x? (a) 11 (b) 60 (c) 13 (d) 12
  28. 28.If 3x + 6 = 18, what is x? (a) 12 (b) 5 (c) 4 (d) 8
  29. 29.If 3x + 9 = 18, what is x? (a) 2 (b) 3 (c) 9 (d) 4
  30. 30.If x/6 + 15 = 23, what is x? (a) 123 (b) 8 (c) 228 (d) 48
  31. 31.If x/2 + 4 = 15, what is x? (a) 11 (b) 26 (c) 38 (d) 22
  32. 32.If 7x + 19 = 54, what is x? (a) 35 (b) 5 (c) 4 (d) 6
  33. 33.If 6x − 17 = 7, what is x? (a) 3 (b) 4 (c) 5 (d) 24
  34. 34.If x/3 + 12 = 17, what is x? (a) 5 (b) 15 (c) 87 (d) 39
  35. 35.If x/5 + 2 = 9, what is x? (a) 35 (b) 55 (c) 43 (d) 7
  36. 36.If 7x − 21 = 7, what is x? (a) 28 (b) 4 (c) 3 (d) 5
  37. 37.If 6x + 24 = 72, what is x? (a) 9 (b) 48 (c) 8 (d) 16
  38. 38.If x/5 + 2 = 7, what is x? (a) 45 (b) 33 (c) 5 (d) 25
  39. 39.If x/5 + 7 = 18, what is x? (a) 11 (b) 55 (c) 83 (d) 125
  40. 40.If 2x − 1 = 13, what is x? (a) 8 (b) 14 (c) 6 (d) 7

Answer key

  1. 11
  2. 12
  3. 15
  4. 6
  5. 5
  6. 14
  7. 12
  8. 8
  9. 8
  10. 15
  11. 2
  12. 7
  13. 6
  14. 8
  15. 7
  16. 13
  17. 2
  18. 16
  19. 1
  20. 10
  21. 15
  22. 5
  23. 10
  24. 14
  25. 6
  26. 3
  27. 12
  28. 4
  29. 3
  30. 48
  31. 22
  32. 5
  33. 4
  34. 15
  35. 35
  36. 4
  37. 8
  38. 25
  39. 55
  40. 7

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