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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 847 · 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 + 15 = 21, what is x? (a) 12 (b) 6 (c) 72 (d) 27
  2. 2.If 5x + 11 = 26, what is x? (a) 2 (b) 4 (c) 15 (d) 3
  3. 3.If 4x + 17 = 65, what is x? (a) 48 (b) 12 (c) 11 (d) 13
  4. 4.If 5x + 7 = 27, what is x? (a) 3 (b) 20 (c) 4 (d) 5
  5. 5.If 6x − 29 = 25, what is x? (a) 54 (b) 8 (c) 9 (d) 10
  6. 6.If x/6 + 15 = 25, what is x? (a) 10 (b) 135 (c) 60 (d) 240
  7. 7.If x/2 + 2 = 8, what is x? (a) 12 (b) 14 (c) 20 (d) 6
  8. 8.If x/6 + 3 = 6, what is x? (a) 54 (b) 33 (c) 18 (d) 3
  9. 9.If 9x − 63 = 63, what is x? (a) 14 (b) 13 (c) 15 (d) 126
  10. 10.If 3x − 13 = 23, what is x? (a) 36 (b) 13 (c) 11 (d) 12
  11. 11.If 5x − 30 = 15, what is x? (a) 45 (b) 8 (c) 10 (d) 9
  12. 12.If 5x − 28 = 7, what is x? (a) 7 (b) 8 (c) 35 (d) 6
  13. 13.If 6x + 16 = 70, what is x? (a) 54 (b) 10 (c) 9 (d) 8
  14. 14.If 5x − 2 = 8, what is x? (a) 3 (b) 1 (c) 10 (d) 2
  15. 15.If 8x + 16 = 4x + 20, what is x? (a) 9 (b) 2 (c) 3 (d) 1
  16. 16.If 4x − 51 = 9, what is x? (a) 16 (b) 15 (c) 60 (d) 14
  17. 17.If x/5 + 13 = 20, what is x? (a) 7 (b) 165 (c) 87 (d) 35
  18. 18.If x/3 + 4 = 8, what is x? (a) 4 (b) 12 (c) 36 (d) 20
  19. 19.If 3x + 14 = 29, what is x? (a) 5 (b) 4 (c) 6 (d) 15
  20. 20.If 4x + 6 = 2x + 24, what is x? (a) 10 (b) 9 (c) 15 (d) 3
  21. 21.If x/2 + 3 = 8, what is x? (a) 10 (b) 13 (c) 22 (d) 5
  22. 22.If x/4 + 10 = 22, what is x? (a) 128 (b) 48 (c) 12 (d) 78
  23. 23.If x/5 + 1 = 12, what is x? (a) 59 (b) 65 (c) 11 (d) 55
  24. 24.If 2x + 12 = 36, what is x? (a) 24 (b) 11 (c) 13 (d) 12
  25. 25.If x/3 + 3 = 14, what is x? (a) 33 (b) 39 (c) 11 (d) 51
  26. 26.If x/3 + 13 = 19, what is x? (a) 6 (b) 96 (c) 44 (d) 18
  27. 27.If 8x − 42 = 22, what is x? (a) 64 (b) 8 (c) 9 (d) 7
  28. 28.If x/6 + 8 = 12, what is x? (a) 4 (b) 64 (c) 24 (d) 120
  29. 29.If x/5 + 15 = 17, what is x? (a) 160 (b) 10 (c) 2 (d) 70
  30. 30.If 7x + 10 = 5x + 30, what is x? (a) 11 (b) 12 (c) 20 (d) 10
  31. 31.If 4x + 14 = 2x + 20, what is x? (a) 1 (b) 17 (c) 3 (d) 4
  32. 32.If x/4 + 10 = 13, what is x? (a) 92 (b) 3 (c) 12 (d) 42
  33. 33.If 4x + 7 = 43, what is x? (a) 9 (b) 10 (c) 8 (d) 36
  34. 34.If 8x + 3 = 27, what is x? (a) 4 (b) 2 (c) 3 (d) 24
  35. 35.If 7x + 18 = x + 90, what is x? (a) 9 (b) 13 (c) 18 (d) 12
  36. 36.If 4x + 20 = 32, what is x? (a) 3 (b) 4 (c) 13 (d) 12
  37. 37.If 9x + 3 = 8x + 9, what is x? (a) 6 (b) 8 (c) 7 (d) 12
  38. 38.If 9x + 1 = 19, what is x? (a) 2 (b) 3 (c) 18 (d) 1
  39. 39.If 9x + 19 = 5x + 35, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  40. 40.If 2x + 14 = 30, what is x? (a) 22 (b) 16 (c) 9 (d) 8

Answer key

  1. 12
  2. 3
  3. 12
  4. 4
  5. 9
  6. 60
  7. 12
  8. 18
  9. 14
  10. 12
  11. 9
  12. 7
  13. 9
  14. 2
  15. 1
  16. 15
  17. 35
  18. 12
  19. 5
  20. 9
  21. 10
  22. 48
  23. 55
  24. 12
  25. 33
  26. 18
  27. 8
  28. 24
  29. 10
  30. 10
  31. 3
  32. 12
  33. 9
  34. 3
  35. 12
  36. 3
  37. 6
  38. 2
  39. 4
  40. 8

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