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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 780 · 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 8x − 5 = 27, what is x? (a) 3 (b) 5 (c) 4 (d) 32
  2. 2.If 3x + 2 = 20, what is x? (a) 18 (b) 7 (c) 5 (d) 6
  3. 3.If 7x − 46 = 17, what is x? (a) 10 (b) 9 (c) 63 (d) 8
  4. 4.If 7x + 13 = 48, what is x? (a) 4 (b) 5 (c) 35 (d) 6
  5. 5.If 8x + 7 = 71, what is x? (a) 64 (b) 9 (c) 7 (d) 8
  6. 6.If 5x + 12 = 62, what is x? (a) 11 (b) 50 (c) 9 (d) 10
  7. 7.If 8x − 12 = 108, what is x? (a) 15 (b) 16 (c) 12 (d) 120
  8. 8.If 9x + 15 = 42, what is x? (a) 4 (b) 2 (c) 27 (d) 3
  9. 9.If 2x + 9 = 17, what is x? (a) 13 (b) 4 (c) 5 (d) 8
  10. 10.If 3x − 21 = 15, what is x? (a) 13 (b) 36 (c) 12 (d) 11
  11. 11.If 6x + 1 = 2x + 33, what is x? (a) 9 (b) 4 (c) 8 (d) 10
  12. 12.If 6x + 11 = 4x + 13, what is x? (a) 12 (b) 1 (c) 3 (d) 2
  13. 13.If 7x + 14 = 112, what is x? (a) 15 (b) 18 (c) 98 (d) 14
  14. 14.If 3x + 13 = x + 33, what is x? (a) 5 (b) 23 (c) 10 (d) 11
  15. 15.If x/5 + 12 = 20, what is x? (a) 40 (b) 160 (c) 8 (d) 88
  16. 16.If 2x + 27 = 49, what is x? (a) 38 (b) 22 (c) 12 (d) 11
  17. 17.If 2x + 4 = 18, what is x? (a) 7 (b) 14 (c) 8 (d) 11
  18. 18.If x/3 + 2 = 6, what is x? (a) 16 (b) 12 (c) 4 (d) 24
  19. 19.If 6x + 3 = 2x + 35, what is x? (a) 10 (b) 9 (c) 8 (d) 4
  20. 20.If 6x + 8 = 56, what is x? (a) 7 (b) 48 (c) 9 (d) 8
  21. 21.If 7x + 18 = 5x + 24, what is x? (a) 5 (b) 21 (c) 3 (d) 4
  22. 22.If 4x − 4 = 20, what is x? (a) 24 (b) 7 (c) 4 (d) 6
  23. 23.If 9x + 6 = 69, what is x? (a) 6 (b) 8 (c) 7 (d) 63
  24. 24.If 8x − 12 = 92, what is x? (a) 13 (b) 10 (c) 104 (d) 14
  25. 25.If x/2 + 10 = 15, what is x? (a) 10 (b) 50 (c) 5 (d) 20
  26. 26.If x/2 + 11 = 17, what is x? (a) 23 (b) 56 (c) 6 (d) 12
  27. 27.If x/5 + 5 = 8, what is x? (a) 65 (b) 35 (c) 3 (d) 15
  28. 28.If 7x + 3 = 4x + 6, what is x? (a) 1 (b) 2 (c) 4 (d) 3
  29. 29.If 6x − 55 = 35, what is x? (a) 15 (b) 14 (c) 90 (d) 16
  30. 30.If 4x + 24 = 44, what is x? (a) 6 (b) 5 (c) 20 (d) 17
  31. 31.If 9x + 24 = 87, what is x? (a) 63 (b) 8 (c) 7 (d) 6
  32. 32.If 9x − 5 = 13, what is x? (a) 1 (b) 18 (c) 2 (d) 3
  33. 33.If 3x + 17 = x + 35, what is x? (a) 9 (b) 11 (c) 26 (d) 10
  34. 34.If 4x − 37 = 19, what is x? (a) 15 (b) 56 (c) 14 (d) 13
  35. 35.If 5x − 3 = 7, what is x? (a) 3 (b) 1 (c) 2 (d) 10
  36. 36.If 8x − 28 = 36, what is x? (a) 64 (b) 9 (c) 8 (d) 1
  37. 37.If 9x + 11 = x + 27, what is x? (a) 1 (b) 4 (c) 3 (d) 2
  38. 38.If x/4 + 15 = 22, what is x? (a) 28 (b) 7 (c) 148 (d) 73
  39. 39.If x/6 + 8 = 15, what is x? (a) 138 (b) 82 (c) 7 (d) 42
  40. 40.If 4x − 13 = 7, what is x? (a) 4 (b) 6 (c) 20 (d) 5

Answer key

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

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