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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 225 · 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 + 5 = 47, what is x? (a) 14 (b) 13 (c) 42 (d) 15
  2. 2.If 8x + 6 = 86, what is x? (a) 9 (b) 11 (c) 80 (d) 10
  3. 3.If 9x − 5 = 13, what is x? (a) 1 (b) 18 (c) 3 (d) 2
  4. 4.If 6x + 4 = 3x + 10, what is x? (a) 2 (b) 1 (c) 4 (d) 3
  5. 5.If 3x − 18 = 6, what is x? (a) 9 (b) 8 (c) 24 (d) 7
  6. 6.If 9x + 17 = 116, what is x? (a) 11 (b) 10 (c) 12 (d) 99
  7. 7.If x/2 + 3 = 13, what is x? (a) 23 (b) 32 (c) 20 (d) 10
  8. 8.If x/2 + 8 = 20, what is x? (a) 32 (b) 56 (c) 12 (d) 24
  9. 9.If 3x − 7 = 2, what is x? (a) 4 (b) 2 (c) 9 (d) 3
  10. 10.If x/5 + 14 = 25, what is x? (a) 11 (b) 111 (c) 195 (d) 55
  11. 11.If 2x + 24 = 30, what is x? (a) 4 (b) 3 (c) 6 (d) 27
  12. 12.If 6x − 43 = 5, what is x? (a) 48 (b) 7 (c) 9 (d) 8
  13. 13.If x/2 + 7 = 19, what is x? (a) 52 (b) 12 (c) 24 (d) 31
  14. 14.If 2x + 2 = 12, what is x? (a) 7 (b) 10 (c) 5 (d) 6
  15. 15.If 2x − 23 = 1, what is x? (a) 11 (b) 13 (c) 12 (d) 24
  16. 16.If 7x − 35 = 35, what is x? (a) 11 (b) 9 (c) 70 (d) 10
  17. 17.If 2x + 12 = 18, what is x? (a) 4 (b) 15 (c) 6 (d) 3
  18. 18.If 6x + 5 = 5x + 6, what is x? (a) 2 (b) 11 (c) 3 (d) 1
  19. 19.If 2x − 2 = 6, what is x? (a) 5 (b) 4 (c) 2 (d) 8
  20. 20.If x/3 + 8 = 18, what is x? (a) 30 (b) 10 (c) 78 (d) 46
  21. 21.If x/6 + 11 = 22, what is x? (a) 66 (b) 121 (c) 198 (d) 11
  22. 22.If 7x + 11 = 3x + 27, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  23. 23.If 9x + 7 = 3x + 37, what is x? (a) 5 (b) 6 (c) 7 (d) 4
  24. 24.If 2x − 4 = 10, what is x? (a) 8 (b) 7 (c) 3 (d) 14
  25. 25.If 3x + 16 = x + 22, what is x? (a) 19 (b) 3 (c) 5 (d) 4
  26. 26.If x/5 + 2 = 12, what is x? (a) 10 (b) 58 (c) 70 (d) 50
  27. 27.If x/2 + 7 = 15, what is x? (a) 44 (b) 16 (c) 23 (d) 8
  28. 28.If 7x − 33 = 72, what is x? (a) 16 (b) 14 (c) 15 (d) 105
  29. 29.If 6x + 6 = 48, what is x? (a) 7 (b) 9 (c) 8 (d) 42
  30. 30.If 2x + 2 = 8, what is x? (a) 4 (b) 6 (c) 3 (d) 5
  31. 31.If x/4 + 4 = 8, what is x? (a) 28 (b) 4 (c) 16 (d) 48
  32. 32.If 8x + 12 = 3x + 42, what is x? (a) 6 (b) 5 (c) 7 (d) 8
  33. 33.If 7x + 6 = 5x + 20, what is x? (a) 13 (b) 7 (c) 9 (d) 8
  34. 34.If 2x − 2 = 14, what is x? (a) 6 (b) 9 (c) 16 (d) 8
  35. 35.If x/4 + 3 = 10, what is x? (a) 37 (b) 7 (c) 52 (d) 28
  36. 36.If 3x + 15 = 24, what is x? (a) 13 (b) 9 (c) 4 (d) 3
  37. 37.If 4x + 20 = 68, what is x? (a) 48 (b) 22 (c) 13 (d) 12
  38. 38.If 4x + 2 = 10, what is x? (a) 1 (b) 8 (c) 2 (d) 3
  39. 39.If 8x − 47 = 25, what is x? (a) 10 (b) 72 (c) 9 (d) 8
  40. 40.If 5x − 2 = 63, what is x? (a) 14 (b) 13 (c) 65 (d) 12

Answer key

  1. 14
  2. 10
  3. 2
  4. 2
  5. 8
  6. 11
  7. 20
  8. 24
  9. 3
  10. 55
  11. 3
  12. 8
  13. 24
  14. 5
  15. 12
  16. 10
  17. 3
  18. 1
  19. 4
  20. 30
  21. 66
  22. 4
  23. 5
  24. 7
  25. 3
  26. 50
  27. 16
  28. 15
  29. 7
  30. 3
  31. 16
  32. 6
  33. 7
  34. 8
  35. 28
  36. 3
  37. 12
  38. 2
  39. 9
  40. 13

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