91Ó°ÊÓ

Match each statement with the correct term that completes it from the list on the right. To clear fractions, we can multiply both sides of an equation by the a) Directly b) Inversely c) Jointly d) LCD e) Product f) Ratio

Classify each of the following as either an expression or an equation. $$\frac{4}{t^{2}-1}+\frac{3}{t+1}$$

Home Restoration. Trey can refinish the floor of an apartment in 8 hr. Matt can refinish the floor in \(6 \mathrm{hr}\) How long will it take them, working together, to refinish the floor?

Determine whether each situation represents direct variation or inverse variation. Mia swam 2 laps in 7 min and 6 laps in 21 min.

List all numbers for which each rational expression is undefined. $$ \frac{x^{2}}{4 x-12} $$

The speed of the current in Catamount Creek is 3 mph. Cory can kayak 4 mi upstream in the same time that it takes him to kayak 10 mi downstream. What is the speed of Cory's kayak in still water?

Simplify by removing a factor equal to 1. $$ \frac{18 t^{3} w^{2}}{27 t^{7} w} $$

$$ \frac{\frac{x}{x^{2}+3 x-4}-\frac{1}{x^{2}+3 x-4}}{\frac{x}{x^{2}+6 x+8}+\frac{3}{x^{2}+6 x+8}} $$

A freight train covered \(120 \mathrm{mi}\) at a certain speed. Had the train been able to travel \(10 \mathrm{mph}\) faster, the trip would have been 2 hr shorter. How fast did the train go?

Simplify. If possible, use a second method, evaluation, or a graphing calculator as a check. $$ \frac{\frac{1}{a}+\frac{1}{b}}{\frac{1}{a^{3}}+\frac{1}{b^{3}}} $$