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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 49 · 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 − 2 = 43, what is x? (a) 14 (b) 15 (c) 16 (d) 45
  2. 2.If 4x + 10 = 70, what is x? (a) 20 (b) 16 (c) 60 (d) 15
  3. 3.If x/2 + 15 = 21, what is x? (a) 72 (b) 27 (c) 6 (d) 12
  4. 4.If 9x − 25 = 11, what is x? (a) 3 (b) 5 (c) 4 (d) 36
  5. 5.If 4x + 29 = 41, what is x? (a) 4 (b) 12 (c) 2 (d) 3
  6. 6.If 8x + 4 = 4x + 20, what is x? (a) 6 (b) 4 (c) 3 (d) 5
  7. 7.If 9x − 33 = 3, what is x? (a) 36 (b) 4 (c) 5 (d) 3
  8. 8.If 5x + 19 = 79, what is x? (a) 11 (b) 13 (c) 60 (d) 12
  9. 9.If 4x + 15 = x + 33, what is x? (a) 7 (b) 6 (c) 16 (d) 8
  10. 10.If 4x + 28 = 64, what is x? (a) 36 (b) 23 (c) 9 (d) 10
  11. 11.If 4x + 11 = 51, what is x? (a) 9 (b) 10 (c) 40 (d) 11
  12. 12.If 2x + 6 = 18, what is x? (a) 12 (b) 7 (c) 6 (d) 5
  13. 13.If 7x + 2 = 5x + 26, what is x? (a) 13 (b) 14 (c) 2 (d) 12
  14. 14.If 3x + 10 = 46, what is x? (a) 11 (b) 13 (c) 36 (d) 12
  15. 15.If 9x + 19 = 4x + 24, what is x? (a) 3 (b) 2 (c) 1 (d) 4
  16. 16.If x/2 + 7 = 13, what is x? (a) 12 (b) 6 (c) 40 (d) 19
  17. 17.If x/4 + 4 = 10, what is x? (a) 6 (b) 36 (c) 56 (d) 24
  18. 18.If 7x + 16 = 44, what is x? (a) 4 (b) 3 (c) 28 (d) 5
  19. 19.If x/2 + 9 = 16, what is x? (a) 7 (b) 50 (c) 23 (d) 14
  20. 20.If 5x + 10 = x + 30, what is x? (a) 7 (b) 10 (c) 6 (d) 5
  21. 21.If 4x − 38 = 14, what is x? (a) 13 (b) 14 (c) 12 (d) 52
  22. 22.If 2x + 19 = 43, what is x? (a) 12 (b) 13 (c) 24 (d) 31
  23. 23.If 3x − 11 = 31, what is x? (a) 13 (b) 14 (c) 42 (d) 15
  24. 24.If 4x − 8 = 20, what is x? (a) 7 (b) 8 (c) 28 (d) 3
  25. 25.If 4x − 14 = 26, what is x? (a) 10 (b) 11 (c) 40 (d) 3
  26. 26.If 6x + 5 = x + 45, what is x? (a) 10 (b) 9 (c) 7 (d) 8
  27. 27.If 5x − 1 = 9, what is x? (a) 3 (b) 2 (c) 10 (d) 1
  28. 28.If 4x + 13 = 29, what is x? (a) 3 (b) 5 (c) 4 (d) 16
  29. 29.If 3x − 28 = 5, what is x? (a) 10 (b) 33 (c) 12 (d) 11
  30. 30.If x/2 + 8 = 13, what is x? (a) 18 (b) 5 (c) 10 (d) 42
  31. 31.If 5x − 1 = 19, what is x? (a) 5 (b) 3 (c) 20 (d) 4
  32. 32.If x/6 + 5 = 16, what is x? (a) 126 (b) 91 (c) 11 (d) 66
  33. 33.If 4x − 4 = 4, what is x? (a) 8 (b) 1 (c) 2 (d) 3
  34. 34.If 9x + 18 = 144, what is x? (a) 14 (b) 15 (c) 18 (d) 126
  35. 35.If 8x + 1 = 7x + 11, what is x? (a) 11 (b) 10 (c) 12 (d) 9
  36. 36.If 9x − 19 = 26, what is x? (a) 4 (b) 5 (c) 6 (d) 45
  37. 37.If x/6 + 3 = 7, what is x? (a) 4 (b) 60 (c) 39 (d) 24
  38. 38.If 6x − 88 = 2, what is x? (a) 90 (b) 15 (c) 16 (d) 14
  39. 39.If 9x + 12 = 6x + 15, what is x? (a) 2 (b) 9 (c) 3 (d) 1
  40. 40.If x/2 + 4 = 8, what is x? (a) 8 (b) 4 (c) 12 (d) 24

Answer key

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

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