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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 644 · 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 4x + 13 = 2x + 15, what is x? (a) 14 (b) 3 (c) 2 (d) 1
  2. 2.If 9x + 13 = 6x + 40, what is x? (a) 11 (b) 8 (c) 10 (d) 9
  3. 3.If x/3 + 7 = 10, what is x? (a) 3 (b) 51 (c) 23 (d) 9
  4. 4.If 7x − 3 = 11, what is x? (a) 2 (b) 1 (c) 14 (d) 3
  5. 5.If 7x + 27 = 62, what is x? (a) 4 (b) 5 (c) 6 (d) 35
  6. 6.If 3x + 12 = 36, what is x? (a) 24 (b) 8 (c) 16 (d) 9
  7. 7.If 4x − 6 = 6, what is x? (a) 3 (b) 12 (c) 2 (d) 4
  8. 8.If 8x + 15 = 47, what is x? (a) 3 (b) 4 (c) 32 (d) 5
  9. 9.If 5x + 20 = x + 24, what is x? (a) 2 (b) 1 (c) 11 (d) 3
  10. 10.If 8x + 24 = 96, what is x? (a) 9 (b) 72 (c) 15 (d) 10
  11. 11.If 2x − 8 = 20, what is x? (a) 14 (b) 28 (c) 6 (d) 15
  12. 12.If 9x − 79 = 47, what is x? (a) 126 (b) 13 (c) 14 (d) 15
  13. 13.If 4x + 8 = x + 11, what is x? (a) 3 (b) 1 (c) 2 (d) 4
  14. 14.If 7x + 11 = 3x + 23, what is x? (a) 3 (b) 5 (c) 2 (d) 4
  15. 15.If x/4 + 1 = 6, what is x? (a) 20 (b) 23 (c) 28 (d) 5
  16. 16.If 9x + 21 = 39, what is x? (a) 2 (b) 1 (c) 18 (d) 3
  17. 17.If x/5 + 11 = 18, what is x? (a) 35 (b) 7 (c) 79 (d) 145
  18. 18.If 6x + 18 = x + 48, what is x? (a) 6 (b) 5 (c) 8 (d) 7
  19. 19.If x/6 + 14 = 17, what is x? (a) 186 (b) 18 (c) 88 (d) 3
  20. 20.If 4x + 13 = 2x + 23, what is x? (a) 6 (b) 18 (c) 7 (d) 5
  21. 21.If x/5 + 6 = 11, what is x? (a) 25 (b) 49 (c) 5 (d) 85
  22. 22.If 3x + 3 = 27, what is x? (a) 10 (b) 24 (c) 8 (d) 9
  23. 23.If 3x + 18 = 36, what is x? (a) 5 (b) 7 (c) 18 (d) 6
  24. 24.If 7x − 11 = 66, what is x? (a) 10 (b) 11 (c) 12 (d) 77
  25. 25.If 3x + 5 = 14, what is x? (a) 4 (b) 9 (c) 2 (d) 3
  26. 26.If 4x + 15 = 3x + 19, what is x? (a) 4 (b) 5 (c) 34 (d) 6
  27. 27.If 9x − 29 = 34, what is x? (a) 63 (b) 7 (c) 8 (d) 6
  28. 28.If 4x + 19 = x + 52, what is x? (a) 12 (b) 11 (c) 13 (d) 10
  29. 29.If 9x + 23 = 68, what is x? (a) 6 (b) 45 (c) 4 (d) 5
  30. 30.If 6x + 8 = 98, what is x? (a) 16 (b) 90 (c) 14 (d) 15
  31. 31.If 8x + 21 = 101, what is x? (a) 9 (b) 80 (c) 11 (d) 10
  32. 32.If 5x − 48 = 2, what is x? (a) 50 (b) 10 (c) 9 (d) 11
  33. 33.If 4x + 6 = 18, what is x? (a) 12 (b) 4 (c) 3 (d) 6
  34. 34.If x/6 + 5 = 17, what is x? (a) 132 (b) 97 (c) 72 (d) 12
  35. 35.If 3x − 3 = 3, what is x? (a) 2 (b) 3 (c) 6 (d) 1
  36. 36.If 6x + 2 = x + 12, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  37. 37.If 2x − 4 = 6, what is x? (a) 5 (b) 1 (c) 6 (d) 10
  38. 38.If 4x + 1 = 3x + 3, what is x? (a) 4 (b) 1 (c) 2 (d) 3
  39. 39.If x/4 + 14 = 21, what is x? (a) 28 (b) 140 (c) 70 (d) 7
  40. 40.If x/3 + 14 = 26, what is x? (a) 12 (b) 36 (c) 120 (d) 64

Answer key

  1. 1
  2. 9
  3. 9
  4. 2
  5. 5
  6. 8
  7. 3
  8. 4
  9. 1
  10. 9
  11. 14
  12. 14
  13. 1
  14. 3
  15. 20
  16. 2
  17. 35
  18. 6
  19. 18
  20. 5
  21. 25
  22. 8
  23. 6
  24. 11
  25. 3
  26. 4
  27. 7
  28. 11
  29. 5
  30. 15
  31. 10
  32. 10
  33. 3
  34. 72
  35. 2
  36. 2
  37. 5
  38. 2
  39. 28
  40. 36

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