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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 891 · 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 + 9 = 72, what is x? (a) 63 (b) 10 (c) 8 (d) 9
  2. 2.If x/2 + 14 = 22, what is x? (a) 8 (b) 16 (c) 72 (d) 30
  3. 3.If 3x − 16 = 5, what is x? (a) 6 (b) 21 (c) 7 (d) 8
  4. 4.If 4x + 19 = 3x + 27, what is x? (a) 9 (b) 46 (c) 10 (d) 8
  5. 5.If 2x − 6 = 12, what is x? (a) 18 (b) 10 (c) 3 (d) 9
  6. 6.If 6x − 54 = 6, what is x? (a) 11 (b) 9 (c) 60 (d) 10
  7. 7.If 4x − 1 = 31, what is x? (a) 7 (b) 32 (c) 9 (d) 8
  8. 8.If 6x + 7 = 4x + 23, what is x? (a) 9 (b) 10 (c) 8 (d) 15
  9. 9.If x/5 + 8 = 14, what is x? (a) 6 (b) 110 (c) 62 (d) 30
  10. 10.If 2x − 5 = 25, what is x? (a) 16 (b) 15 (c) 30 (d) 10
  11. 11.If 5x + 27 = 42, what is x? (a) 15 (b) 4 (c) 3 (d) 2
  12. 12.If 7x + 5 = 61, what is x? (a) 56 (b) 9 (c) 8 (d) 7
  13. 13.If 2x − 4 = 14, what is x? (a) 9 (b) 10 (c) 5 (d) 18
  14. 14.If 2x + 23 = 43, what is x? (a) 33 (b) 11 (c) 10 (d) 20
  15. 15.If 4x + 7 = 3x + 15, what is x? (a) 9 (b) 22 (c) 8 (d) 10
  16. 16.If 4x + 8 = 64, what is x? (a) 18 (b) 15 (c) 14 (d) 56
  17. 17.If 7x − 27 = 8, what is x? (a) 35 (b) 4 (c) 5 (d) 6
  18. 18.If 4x + 9 = 2x + 17, what is x? (a) 4 (b) 5 (c) 13 (d) 6
  19. 19.If 8x + 12 = 108, what is x? (a) 12 (b) 15 (c) 13 (d) 96
  20. 20.If 3x − 28 = 14, what is x? (a) 13 (b) 15 (c) 14 (d) 42
  21. 21.If 6x − 60 = 24, what is x? (a) 84 (b) 13 (c) 15 (d) 14
  22. 22.If 4x + 7 = 3x + 13, what is x? (a) 20 (b) 6 (c) 7 (d) 8
  23. 23.If 7x + 5 = 2x + 10, what is x? (a) 4 (b) 2 (c) 1 (d) 3
  24. 24.If 4x − 1 = 23, what is x? (a) 7 (b) 5 (c) 6 (d) 24
  25. 25.If x/6 + 4 = 14, what is x? (a) 80 (b) 108 (c) 60 (d) 10
  26. 26.If x/4 + 11 = 21, what is x? (a) 128 (b) 73 (c) 10 (d) 40
  27. 27.If 4x + 9 = 33, what is x? (a) 24 (b) 7 (c) 5 (d) 6
  28. 28.If x/5 + 8 = 10, what is x? (a) 90 (b) 42 (c) 10 (d) 2
  29. 29.If 2x + 9 = 29, what is x? (a) 19 (b) 11 (c) 10 (d) 20
  30. 30.If 3x + 15 = 2x + 20, what is x? (a) 5 (b) 35 (c) 1 (d) 6
  31. 31.If 3x − 27 = 3, what is x? (a) 11 (b) 10 (c) 9 (d) 30
  32. 32.If 4x + 8 = x + 38, what is x? (a) 10 (b) 11 (c) 6 (d) 12
  33. 33.If 4x − 30 = 2, what is x? (a) 9 (b) 32 (c) 8 (d) 7
  34. 34.If 6x + 2 = 26, what is x? (a) 24 (b) 4 (c) 3 (d) 5
  35. 35.If 5x + 3 = 2x + 39, what is x? (a) 12 (b) 11 (c) 13 (d) 14
  36. 36.If 4x − 23 = 17, what is x? (a) 9 (b) 11 (c) 40 (d) 10
  37. 37.If x/5 + 6 = 9, what is x? (a) 3 (b) 75 (c) 15 (d) 39
  38. 38.If x/2 + 11 = 23, what is x? (a) 24 (b) 68 (c) 35 (d) 12
  39. 39.If 4x + 3 = 39, what is x? (a) 10 (b) 9 (c) 8 (d) 36
  40. 40.If 7x + 12 = 68, what is x? (a) 56 (b) 9 (c) 8 (d) 7

Answer key

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

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