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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 599 · 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 + 4 = 4x + 28, what is x? (a) 7 (b) 10 (c) 9 (d) 8
  2. 2.If 7x − 42 = 7, what is x? (a) 7 (b) 8 (c) 6 (d) 49
  3. 3.If 8x − 12 = 4, what is x? (a) 1 (b) 3 (c) 16 (d) 2
  4. 4.If x/5 + 12 = 23, what is x? (a) 103 (b) 55 (c) 11 (d) 175
  5. 5.If x/5 + 1 = 8, what is x? (a) 7 (b) 35 (c) 39 (d) 45
  6. 6.If 8x + 18 = 6x + 34, what is x? (a) 10 (b) 26 (c) 8 (d) 9
  7. 7.If 6x + 22 = 82, what is x? (a) 60 (b) 11 (c) 9 (d) 10
  8. 8.If 6x + 18 = x + 48, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  9. 9.If 6x + 5 = 4x + 7, what is x? (a) 2 (b) 6 (c) 3 (d) 1
  10. 10.If 2x + 23 = 35, what is x? (a) 7 (b) 29 (c) 12 (d) 6
  11. 11.If x/6 + 13 = 23, what is x? (a) 60 (b) 10 (c) 125 (d) 216
  12. 12.If 6x + 19 = 2x + 55, what is x? (a) 8 (b) 11 (c) 9 (d) 10
  13. 13.If 3x − 3 = 24, what is x? (a) 7 (b) 27 (c) 9 (d) 10
  14. 14.If 3x + 29 = 65, what is x? (a) 11 (b) 12 (c) 36 (d) 13
  15. 15.If 7x + 18 = 46, what is x? (a) 3 (b) 4 (c) 28 (d) 5
  16. 16.If 9x + 14 = 41, what is x? (a) 4 (b) 3 (c) 2 (d) 27
  17. 17.If 4x + 13 = 45, what is x? (a) 8 (b) 7 (c) 9 (d) 32
  18. 18.If 8x + 12 = 5x + 45, what is x? (a) 13 (b) 19 (c) 11 (d) 12
  19. 19.If 5x + 9 = x + 29, what is x? (a) 4 (b) 6 (c) 7 (d) 5
  20. 20.If 5x + 16 = 2x + 19, what is x? (a) 2 (b) 3 (c) 4 (d) 1
  21. 21.If 3x + 26 = 41, what is x? (a) 5 (b) 4 (c) 6 (d) 15
  22. 22.If 8x + 1 = 57, what is x? (a) 56 (b) 7 (c) 8 (d) 6
  23. 23.If x/2 + 5 = 16, what is x? (a) 27 (b) 22 (c) 11 (d) 42
  24. 24.If 6x + 22 = 40, what is x? (a) 2 (b) 18 (c) 3 (d) 4
  25. 25.If 2x − 5 = 11, what is x? (a) 16 (b) 8 (c) 9 (d) 3
  26. 26.If x/5 + 9 = 12, what is x? (a) 105 (b) 15 (c) 51 (d) 3
  27. 27.If 8x + 28 = 108, what is x? (a) 11 (b) 10 (c) 80 (d) 17
  28. 28.If x/2 + 2 = 12, what is x? (a) 20 (b) 22 (c) 28 (d) 10
  29. 29.If x/6 + 1 = 8, what is x? (a) 7 (b) 54 (c) 47 (d) 42
  30. 30.If 3x + 16 = x + 36, what is x? (a) 10 (b) 26 (c) 5 (d) 11
  31. 31.If 5x + 13 = 4x + 22, what is x? (a) 10 (b) 9 (c) 35 (d) 1
  32. 32.If 4x + 8 = x + 14, what is x? (a) 3 (b) 4 (c) 2 (d) 1
  33. 33.If 2x + 13 = 35, what is x? (a) 24 (b) 22 (c) 12 (d) 11
  34. 34.If 4x + 14 = x + 17, what is x? (a) 1 (b) 2 (c) 3 (d) 4
  35. 35.If 6x + 22 = 94, what is x? (a) 11 (b) 12 (c) 13 (d) 72
  36. 36.If 3x + 27 = 60, what is x? (a) 12 (b) 29 (c) 33 (d) 11
  37. 37.If 9x + 14 = 140, what is x? (a) 126 (b) 14 (c) 13 (d) 15
  38. 38.If 3x − 6 = 39, what is x? (a) 45 (b) 11 (c) 16 (d) 15
  39. 39.If 7x + 9 = 6x + 10, what is x? (a) 19 (b) 1 (c) 3 (d) 2
  40. 40.If 5x − 4 = 46, what is x? (a) 9 (b) 50 (c) 11 (d) 10

Answer key

  1. 8
  2. 7
  3. 2
  4. 55
  5. 35
  6. 8
  7. 10
  8. 6
  9. 1
  10. 6
  11. 60
  12. 9
  13. 9
  14. 12
  15. 4
  16. 3
  17. 8
  18. 11
  19. 5
  20. 1
  21. 5
  22. 7
  23. 22
  24. 3
  25. 8
  26. 15
  27. 10
  28. 20
  29. 42
  30. 10
  31. 9
  32. 2
  33. 11
  34. 1
  35. 12
  36. 11
  37. 14
  38. 15
  39. 1
  40. 10

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