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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 600 · 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 9x − 56 = 16, what is x? (a) 8 (b) 72 (c) 7 (d) 9
  2. 2.If 4x − 9 = 3, what is x? (a) 2 (b) 12 (c) 4 (d) 3
  3. 3.If 7x + 24 = 122, what is x? (a) 98 (b) 14 (c) 13 (d) 15
  4. 4.If 7x + 3 = 80, what is x? (a) 12 (b) 77 (c) 10 (d) 11
  5. 5.If 3x + 18 = 51, what is x? (a) 12 (b) 33 (c) 23 (d) 11
  6. 6.If 9x + 2 = 8x + 13, what is x? (a) 11 (b) 12 (c) 15 (d) 13
  7. 7.If 5x + 15 = x + 43, what is x? (a) 7 (b) 6 (c) 8 (d) 9
  8. 8.If 8x + 27 = 67, what is x? (a) 4 (b) 5 (c) 40 (d) 6
  9. 9.If 7x − 4 = 17, what is x? (a) 4 (b) 21 (c) 3 (d) 2
  10. 10.If 4x − 2 = 10, what is x? (a) 12 (b) 3 (c) 2 (d) 4
  11. 11.If x/3 + 11 = 13, what is x? (a) 28 (b) 72 (c) 6 (d) 2
  12. 12.If x/4 + 3 = 7, what is x? (a) 40 (b) 4 (c) 16 (d) 25
  13. 13.If 3x + 5 = 23, what is x? (a) 5 (b) 6 (c) 18 (d) 7
  14. 14.If 9x + 5 = 8x + 16, what is x? (a) 12 (b) 11 (c) 13 (d) 21
  15. 15.If 9x + 19 = 6x + 31, what is x? (a) 3 (b) 6 (c) 5 (d) 4
  16. 16.If 6x + 22 = 58, what is x? (a) 36 (b) 5 (c) 7 (d) 6
  17. 17.If x/6 + 11 = 14, what is x? (a) 73 (b) 150 (c) 3 (d) 18
  18. 18.If 5x + 14 = x + 18, what is x? (a) 8 (b) 3 (c) 2 (d) 1
  19. 19.If 7x + 11 = 2x + 26, what is x? (a) 3 (b) 5 (c) 4 (d) 2
  20. 20.If 3x − 25 = 20, what is x? (a) 45 (b) 16 (c) 14 (d) 15
  21. 21.If 3x + 13 = 58, what is x? (a) 45 (b) 16 (c) 15 (d) 14
  22. 22.If 9x + 17 = 3x + 41, what is x? (a) 4 (b) 2 (c) 5 (d) 6
  23. 23.If 6x − 4 = 14, what is x? (a) 18 (b) 2 (c) 4 (d) 3
  24. 24.If 3x + 23 = 59, what is x? (a) 13 (b) 36 (c) 11 (d) 12
  25. 25.If x/3 + 4 = 11, what is x? (a) 29 (b) 45 (c) 21 (d) 7
  26. 26.If 4x − 22 = 18, what is x? (a) 10 (b) 9 (c) 40 (d) 11
  27. 27.If 8x − 28 = 4, what is x? (a) 5 (b) 4 (c) 3 (d) 32
  28. 28.If 8x − 10 = 54, what is x? (a) 8 (b) 7 (c) 64 (d) 9
  29. 29.If 4x + 18 = 2x + 22, what is x? (a) 3 (b) 4 (c) 20 (d) 2
  30. 30.If 6x − 9 = 33, what is x? (a) 8 (b) 7 (c) 4 (d) 42
  31. 31.If 8x + 15 = 47, what is x? (a) 4 (b) 5 (c) 3 (d) 32
  32. 32.If 3x + 9 = 2x + 12, what is x? (a) 4 (b) 3 (c) 5 (d) 21
  33. 33.If 9x + 28 = 64, what is x? (a) 36 (b) 5 (c) 4 (d) 3
  34. 34.If 4x + 29 = 77, what is x? (a) 13 (b) 12 (c) 11 (d) 48
  35. 35.If 4x + 5 = 3x + 6, what is x? (a) 1 (b) 2 (c) 3 (d) 11
  36. 36.If 9x − 12 = 24, what is x? (a) 5 (b) 3 (c) 36 (d) 4
  37. 37.If 6x + 30 = 48, what is x? (a) 13 (b) 18 (c) 3 (d) 4
  38. 38.If 5x − 21 = 44, what is x? (a) 65 (b) 12 (c) 13 (d) 14
  39. 39.If 6x + 19 = 55, what is x? (a) 5 (b) 6 (c) 36 (d) 7
  40. 40.If 6x + 14 = 2x + 18, what is x? (a) 2 (b) 1 (c) 8 (d) 3

Answer key

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

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