Write an expression to show the price of 2 discounted books when the first one is 20 + n and each one after that is (20 + n)(n - 5).

What is the x-coordinate of the vertex of the graph of a quadratic function whose zeros are 0 and -8?

A -4

B 0

C 4

D 8

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

Ms. Suarez owns a manufacturing company. Her total profits for one year are $x^2+44 x+420$, where x is the number of units manufactured. Her profits for the spring are $x^2+7 x+100$, while her profits for the winter are 17x + 40. Write a simplified expression for the fraction of the total profits that come from the spring and winter seasons.

What is the perimeter of the triangle to the nearest inch given that the triangle is a right triangle where the length of the hypotenuse is 13, the shorter leg is 5 and the other leg is represented by x?

A 212 inches

B 30 inches

C 32 inches

D 12 inches

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

Is a binomial also a polynomial? Explain.

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?

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

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?

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.

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.