Multiply $\frac{y^2+6 y+5}{y^2} \cdot \frac{y}{y+1}$.

A $\frac{y+5}{y^2}$

B $\frac{y+5}{y}$

C $\frac{(y+1)(y+5)}{y^2}$

D y(y + 5)

Is the triangle with vertices at (-3,3), (1,0), and (4,4) a right triangle? Justify your answer.

Solve the inequality 28 < 2(x + 3) < 42 and justify each step.

Factor $2 x^2+7 x+3$

Collect two $x^2$-tiles, seven $x$-tiles, and three 1-tiles.

Build a rectangle using the algebra tiles. Keep the $x^2$-tiles on the top row of the rectangle. Fill in the x-tiles horizontally below and vertically to the right of the $x^2$-tiles. Use the 1-tiles to fill in the gaps of the rectangle. Remember that the lines between the tiles must be completely vertical or horizontal across the entire pattern.

A car rental company charges $40 a day with no additional mileage fees. Another company charges$24 each day plus $0.16 per mile. How many miles would have to be driven in one day for the first company to offer the better deal?

Write the equation of a function with degree 1 and of a function with degree 2.

An average level of HDL, a type of good cholesterol, for a person is usually no more than 60 , and an unhealthy level is lower than 40. A doctor sees 4 patients and tests their HDL levels. The first 3 levels are 45, 52, and 60. What can the fourth patient's HDL level be if the average of all four patients' levels fall in the average, but not unhealthy, range of levels?

Is a binomial also a polynomial? Explain.

The area of a right triangle is $x^2+2 x$. The base, b, equals x + 2. What is the length of the height, h?

Divide by the length of the base to find the length of the height.

The area of a right triangle is $x^2+2 x$. The base, b, equals x + 2. What is the length of the height, h?

Factor.

Yvonne learns that a refrigerator should be kept at a temperature of no more than 40 degrees Fahrenheit but warmer than 32 degrees Fahrenheit.

Yvonne tests the temperatures of some refrigerators at an appliance store. The first 4 temperatures are $35^{\circ}, 40^{\circ}, 20^{\circ}$, and $45^{\circ}$. What should the last temperature be if the average of the temperatures is within the proper temperature range?

The area of a right triangle is $x^2+2 x$. The base, b, equals x + 2. What is the length of the height, h?

Set the area equal to the product of the base and the height.

Yvonne learns that a refrigerator should be kept at a temperature of no more than 40 degrees Fahrenheit but warmer than 32 degrees Fahrenheit.

Write an expression to show the possible range of proper refrigerator temperatures.

The area of a right triangle is $x^2+2 x$. The base, b, equals x + 2. What is the length of the height, h?

Write the formula for the area of a triangle given the base and height.