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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 434 · 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 7x + 2 = 23, what is x? (a) 4 (b) 3 (c) 21 (d) 2
  2. 2.If x/4 + 2 = 5, what is x? (a) 12 (b) 18 (c) 3 (d) 28
  3. 3.If 5x + 16 = 91, what is x? (a) 16 (b) 15 (c) 75 (d) 14
  4. 4.If 7x + 10 = 4x + 37, what is x? (a) 8 (b) 11 (c) 10 (d) 9
  5. 5.If x/3 + 10 = 16, what is x? (a) 18 (b) 6 (c) 38 (d) 78
  6. 6.If x/3 + 4 = 12, what is x? (a) 8 (b) 32 (c) 48 (d) 24
  7. 7.If 9x + 23 = 68, what is x? (a) 45 (b) 5 (c) 4 (d) 6
  8. 8.If 3x + 9 = x + 19, what is x? (a) 7 (b) 5 (c) 6 (d) 14
  9. 9.If 2x + 2 = 12, what is x? (a) 7 (b) 6 (c) 5 (d) 10
  10. 10.If x/2 + 8 = 19, what is x? (a) 54 (b) 22 (c) 30 (d) 11
  11. 11.If 4x + 7 = 2x + 23, what is x? (a) 15 (b) 9 (c) 8 (d) 10
  12. 12.If 6x + 17 = 5x + 22, what is x? (a) 39 (b) 5 (c) 6 (d) 7
  13. 13.If 8x + 17 = 41, what is x? (a) 4 (b) 24 (c) 3 (d) 2
  14. 14.If 3x + 15 = 51, what is x? (a) 13 (b) 22 (c) 12 (d) 36
  15. 15.If 8x + 9 = 3x + 39, what is x? (a) 5 (b) 8 (c) 6 (d) 7
  16. 16.If 7x − 80 = 18, what is x? (a) 13 (b) 15 (c) 98 (d) 14
  17. 17.If 8x + 4 = 60, what is x? (a) 7 (b) 6 (c) 56 (d) 8
  18. 18.If 3x + 12 = 2x + 24, what is x? (a) 12 (b) 36 (c) 13 (d) 14
  19. 19.If x/2 + 1 = 7, what is x? (a) 6 (b) 16 (c) 13 (d) 12
  20. 20.If x/3 + 3 = 5, what is x? (a) 12 (b) 2 (c) 6 (d) 24
  21. 21.If 2x + 23 = 49, what is x? (a) 36 (b) 14 (c) 13 (d) 26
  22. 22.If x/6 + 11 = 22, what is x? (a) 11 (b) 198 (c) 121 (d) 66
  23. 23.If 5x + 7 = x + 43, what is x? (a) 11 (b) 10 (c) 9 (d) 6
  24. 24.If 4x + 10 = 3x + 11, what is x? (a) 2 (b) 21 (c) 3 (d) 1
  25. 25.If 3x − 3 = 12, what is x? (a) 15 (b) 6 (c) 5 (d) 3
  26. 26.If 4x + 17 = 2x + 37, what is x? (a) 11 (b) 27 (c) 10 (d) 12
  27. 27.If 3x + 16 = 43, what is x? (a) 9 (b) 10 (c) 27 (d) 8
  28. 28.If 2x + 16 = 46, what is x? (a) 15 (b) 31 (c) 30 (d) 16
  29. 29.If 9x − 32 = 94, what is x? (a) 126 (b) 15 (c) 13 (d) 14
  30. 30.If 7x + 15 = x + 27, what is x? (a) 3 (b) 4 (c) 2 (d) 7
  31. 31.If 5x − 11 = 9, what is x? (a) 20 (b) 4 (c) 3 (d) 5
  32. 32.If 2x + 9 = 23, what is x? (a) 16 (b) 14 (c) 8 (d) 7
  33. 33.If x/3 + 5 = 7, what is x? (a) 2 (b) 16 (c) 36 (d) 6
  34. 34.If 6x − 6 = 84, what is x? (a) 90 (b) 16 (c) 13 (d) 15
  35. 35.If 3x − 4 = 2, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  36. 36.If 7x − 12 = 79, what is x? (a) 12 (b) 91 (c) 14 (d) 13
  37. 37.If 9x + 16 = 79, what is x? (a) 7 (b) 6 (c) 63 (d) 8
  38. 38.If 7x − 2 = 12, what is x? (a) 1 (b) 14 (c) 3 (d) 2
  39. 39.If 5x − 24 = 11, what is x? (a) 6 (b) 35 (c) 7 (d) 8
  40. 40.If 2x + 25 = 55, what is x? (a) 30 (b) 40 (c) 16 (d) 15

Answer key

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

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