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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 956 · 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 7x − 36 = 48, what is x? (a) 12 (b) 13 (c) 11 (d) 84
  2. 2.If 9x + 10 = 6x + 31, what is x? (a) 9 (b) 7 (c) 6 (d) 8
  3. 3.If 2x + 13 = 43, what is x? (a) 30 (b) 15 (c) 28 (d) 16
  4. 4.If x/4 + 9 = 12, what is x? (a) 3 (b) 84 (c) 12 (d) 39
  5. 5.If 4x + 6 = 3x + 13, what is x? (a) 19 (b) 7 (c) 8 (d) 1
  6. 6.If 3x + 17 = 44, what is x? (a) 10 (b) 9 (c) 27 (d) 8
  7. 7.If x/4 + 11 = 13, what is x? (a) 41 (b) 2 (c) 8 (d) 96
  8. 8.If 3x − 6 = 18, what is x? (a) 4 (b) 24 (c) 9 (d) 8
  9. 9.If 5x + 5 = 25, what is x? (a) 20 (b) 4 (c) 6 (d) 5
  10. 10.If 5x − 39 = 16, what is x? (a) 11 (b) 12 (c) 55 (d) 10
  11. 11.If 6x + 5 = 47, what is x? (a) 8 (b) 42 (c) 6 (d) 7
  12. 12.If x/2 + 9 = 12, what is x? (a) 3 (b) 42 (c) 6 (d) 15
  13. 13.If 6x + 3 = 4x + 5, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  14. 14.If 8x − 6 = 74, what is x? (a) 80 (b) 10 (c) 11 (d) 9
  15. 15.If 5x + 24 = 74, what is x? (a) 50 (b) 11 (c) 9 (d) 10
  16. 16.If 8x + 6 = 7x + 13, what is x? (a) 19 (b) 9 (c) 8 (d) 7
  17. 17.If x/5 + 11 = 22, what is x? (a) 55 (b) 11 (c) 99 (d) 165
  18. 18.If 2x + 28 = 32, what is x? (a) 2 (b) 30 (c) 3 (d) 4
  19. 19.If 3x − 12 = 27, what is x? (a) 39 (b) 14 (c) 5 (d) 13
  20. 20.If 4x + 16 = 3x + 24, what is x? (a) 10 (b) 8 (c) 40 (d) 9
  21. 21.If 2x + 21 = 27, what is x? (a) 6 (b) 24 (c) 3 (d) 4
  22. 22.If 9x + 16 = 4x + 51, what is x? (a) 7 (b) 6 (c) 9 (d) 8
  23. 23.If 4x + 2 = 3x + 9, what is x? (a) 1 (b) 7 (c) 8 (d) 11
  24. 24.If 6x + 13 = 31, what is x? (a) 4 (b) 3 (c) 18 (d) 2
  25. 25.If x/4 + 13 = 17, what is x? (a) 16 (b) 120 (c) 55 (d) 4
  26. 26.If 6x − 10 = 14, what is x? (a) 3 (b) 24 (c) 5 (d) 4
  27. 27.If x/6 + 15 = 26, what is x? (a) 66 (b) 246 (c) 141 (d) 11
  28. 28.If 2x − 5 = 1, what is x? (a) 4 (b) 6 (c) 2 (d) 3
  29. 29.If 2x + 19 = 47, what is x? (a) 33 (b) 28 (c) 15 (d) 14
  30. 30.If 3x + 12 = 21, what is x? (a) 11 (b) 4 (c) 3 (d) 9
  31. 31.If 9x + 1 = x + 25, what is x? (a) 5 (b) 3 (c) 4 (d) 2
  32. 32.If 5x + 14 = 4x + 20, what is x? (a) 8 (b) 7 (c) 34 (d) 6
  33. 33.If 7x + 2 = 51, what is x? (a) 49 (b) 7 (c) 8 (d) 6
  34. 34.If 7x + 25 = 102, what is x? (a) 10 (b) 12 (c) 11 (d) 77
  35. 35.If 4x + 7 = 55, what is x? (a) 12 (b) 11 (c) 13 (d) 48
  36. 36.If 2x − 12 = 8, what is x? (a) 11 (b) 20 (c) 10 (d) 9
  37. 37.If x/4 + 7 = 19, what is x? (a) 12 (b) 104 (c) 69 (d) 48
  38. 38.If x/5 + 6 = 10, what is x? (a) 44 (b) 4 (c) 20 (d) 80
  39. 39.If 3x − 42 = 3, what is x? (a) 16 (b) 15 (c) 45 (d) 14
  40. 40.If 3x − 6 = 9, what is x? (a) 6 (b) 1 (c) 5 (d) 15

Answer key

  1. 12
  2. 7
  3. 15
  4. 12
  5. 7
  6. 9
  7. 8
  8. 8
  9. 4
  10. 11
  11. 7
  12. 6
  13. 1
  14. 10
  15. 10
  16. 7
  17. 55
  18. 2
  19. 13
  20. 8
  21. 3
  22. 7
  23. 7
  24. 3
  25. 16
  26. 4
  27. 66
  28. 3
  29. 14
  30. 3
  31. 3
  32. 6
  33. 7
  34. 11
  35. 12
  36. 10
  37. 48
  38. 20
  39. 15
  40. 5

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