Chapter 11: Rational Functions and Equations

Determine whether each table or equation represents an inverse or a direct variation. Explain.

Determine whether the table represents an inverse variation. Explain.

What is the inverse variation equation for the numbers shown in the table?

1. $y=-2x$
2. $y=8$
   
3. $xy=24$
   
4. $xy=-128$
   

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The least common multiply for$x^2-25$ and$x-5$ isrole="math" localid="1648029600853" $\underset{¯}{x-5}$.

Determine whether each table represents an inverse variation. Explain.

Find the area of rectangle.

F$\mathbf{14}\sqrt{\mathbf{2}}$ G 14 H $\mathbf{98}\sqrt{\mathbf{2}}$ J$\mathbf{7}\sqrt{\mathbf{2}}$

Jason received a $50 gift certificate for his birthday. He wants to buy a DVD and a poster from a media store. (Assume that sales tax is included in the prices.) Write and solve a linear inequality to show how much he would have left to spend after making these purchases.

Weekend Blowout Sale

All DVDs only $14.95

All CDs only $11.25

All posters only $10.99

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The rational function$y=\frac{2}{x-1}+3$has a horizontal asymptote at$\underset{¯}{y=3}$.

GAMES Fifty girls and 75 boys attend a sports club. For a game, boys and girls are going to split into groups. The number in each group has to be the same. How large can the groups be?

Jorge has${\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{8}\mathit{x}\mathbf{+}\mathbf{15}$ square yards of carpet. He wants to carpet rooms that have areas of${\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{5}\mathit{x}\mathbf{+}\mathbf{6}$ square yards. Write and simplify an expression to show how many rooms he can carpet,