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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 146 · 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 6x + 20 = 3x + 50, what is x? (a) 11 (b) 9 (c) 12 (d) 10
  2. 2.If x/4 + 4 = 7, what is x? (a) 12 (b) 24 (c) 44 (d) 3
  3. 3.If 9x + 17 = 2x + 38, what is x? (a) 4 (b) 5 (c) 2 (d) 3
  4. 4.If 4x − 26 = 30, what is x? (a) 15 (b) 56 (c) 1 (d) 14
  5. 5.If 7x + 10 = x + 82, what is x? (a) 9 (b) 13 (c) 12 (d) 14
  6. 6.If x/2 + 11 = 23, what is x? (a) 68 (b) 35 (c) 12 (d) 24
  7. 7.If 7x + 4 = 6x + 11, what is x? (a) 8 (b) 7 (c) 9 (d) 15
  8. 8.If 7x + 15 = 36, what is x? (a) 2 (b) 3 (c) 4 (d) 21
  9. 9.If 5x − 4 = 21, what is x? (a) 25 (b) 6 (c) 5 (d) 4
  10. 10.If 7x + 28 = 126, what is x? (a) 15 (b) 98 (c) 14 (d) 22
  11. 11.If 7x + 17 = 80, what is x? (a) 10 (b) 8 (c) 63 (d) 9
  12. 12.If x/2 + 10 = 19, what is x? (a) 28 (b) 18 (c) 9 (d) 58
  13. 13.If 3x − 15 = 3, what is x? (a) 18 (b) 5 (c) 6 (d) 7
  14. 14.If x/3 + 5 = 11, what is x? (a) 48 (b) 18 (c) 6 (d) 28
  15. 15.If 6x + 6 = 84, what is x? (a) 14 (b) 13 (c) 78 (d) 15
  16. 16.If x/4 + 8 = 13, what is x? (a) 84 (b) 5 (c) 44 (d) 20
  17. 17.If 9x + 24 = 141, what is x? (a) 12 (b) 13 (c) 117 (d) 14
  18. 18.If 4x + 7 = 15, what is x? (a) 2 (b) 3 (c) 8 (d) 1
  19. 19.If 3x − 4 = 2, what is x? (a) 6 (b) 2 (c) 3 (d) 1
  20. 20.If x/3 + 15 = 27, what is x? (a) 126 (b) 12 (c) 66 (d) 36
  21. 21.If 6x − 47 = 1, what is x? (a) 7 (b) 48 (c) 8 (d) 9
  22. 22.If x/2 + 5 = 7, what is x? (a) 9 (b) 4 (c) 2 (d) 24
  23. 23.If 4x − 43 = 9, what is x? (a) 52 (b) 14 (c) 13 (d) 12
  24. 24.If 7x + 14 = 4x + 20, what is x? (a) 2 (b) 3 (c) 1 (d) 4
  25. 25.If x/3 + 7 = 9, what is x? (a) 6 (b) 48 (c) 2 (d) 20
  26. 26.If 7x + 19 = 6x + 24, what is x? (a) 7 (b) 5 (c) 6 (d) 43
  27. 27.If 8x + 12 = 5x + 42, what is x? (a) 10 (b) 18 (c) 12 (d) 11
  28. 28.If x/2 + 1 = 11, what is x? (a) 10 (b) 20 (c) 24 (d) 21
  29. 29.If 5x + 19 = x + 55, what is x? (a) 11 (b) 6 (c) 9 (d) 10
  30. 30.If 3x + 17 = 32, what is x? (a) 6 (b) 5 (c) 4 (d) 15
  31. 31.If 5x + 27 = 97, what is x? (a) 13 (b) 15 (c) 70 (d) 14
  32. 32.If 9x − 47 = 25, what is x? (a) 72 (b) 7 (c) 8 (d) 9
  33. 33.If x/5 + 7 = 10, what is x? (a) 85 (b) 15 (c) 43 (d) 3
  34. 34.If 8x + 4 = 5x + 28, what is x? (a) 7 (b) 8 (c) 10 (d) 9
  35. 35.If 9x − 64 = 35, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  36. 36.If 2x + 28 = 44, what is x? (a) 16 (b) 8 (c) 9 (d) 36
  37. 37.If 7x + 4 = 88, what is x? (a) 11 (b) 12 (c) 84 (d) 13
  38. 38.If 9x + 10 = 145, what is x? (a) 15 (b) 14 (c) 16 (d) 135
  39. 39.If 4x + 5 = 17, what is x? (a) 4 (b) 3 (c) 2 (d) 12
  40. 40.If 3x + 7 = x + 19, what is x? (a) 13 (b) 7 (c) 3 (d) 6

Answer key

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

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