Assignment

1) Find the excluded values for the algebraic fraction:

(3x - 7) / (5x - 3)

2) Find the excluded values for the algebraic fraction:

(x + 6) / (x² + 3x - 18)

3) Perform the indicated operation and simplify your answer:

(10n²/8n²) · {(6n - 60) / 3}

4) Perform the indicated operation and simplify your answer:

{(x² - 12x + 27) / (x - 3)} / {(5x² - 45x) / (x + 7)}

5) Perform the indicated operation and simplify your answer:

{3 / (2x + 1)} + {6 / (x + 6)}

6) Perform the indicated operation and simplify your answer:

{5 / (n - 3)} - {2 / (n + 2)}

7) Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state than on your paper. Use the method discussed in Section 7.7 of our text, clearing fractions from the equation first.

{(m - 4) / m²} + {(m² + 10m + 24) / 4m²} = (2/m²)

8) Solve the equation and show the check of your solution(s). If an answer is an excluded value, please state that on your paper. Use the method discussed in Section 7.7 of our text, clearing fractions from the equation first.

{3x / (x - 4)} - {6 / (x² - 7x + 12)} = {2x / (x-3)}

9) If a 9-foot tall adult elephant casts an 18-foot shadow, how long is the shadow of the 6-foot zookeeper? Use a proportion to set up and solve an equation. Round your answer to the nearest tenth of a foot if necessary.

10) Ellen worked 12 more overtime hours than Andrew one week. If Ellen worked 8 overtime hours for every 5 overtime hours that Andrew worked, for how many hours of overtime did each person work? Round your answer to the nearest tenth of an hour if necessary.