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.

What is the solution to 32 < 7x + 11 < 39?

A 21 > x > 28

B 3 < x > 4

C 3 < x < 4

D 3 > x > 4

Simplify $\frac{6}{9 q^2}-\frac{3 q}{9 q^2}$.

A $\frac{1}{3 q}$

B $\frac{2}{3 q}$

C $\frac{2-q}{3 q^2}$

D $\frac{3(2-q)}{q^2}$

What is the method for multiplying and dividing exponents when working with rational expressions?

What is the first step in solving the inequality 2(x + 5) > x + 12?

A Combine the variables.

B Use the Addition Property of Inequality.

C Apply the Distributive Property.

D Use the Multiplication Property of Inequality.

One leg of a right triangle is twice the length of the other leg. The length of the hypotenuse is square root of 45 centimeters. Let x represent the length of the shorter leg. Use the Pythagorean Theorem to write and solve an equation to find the length of the legs.

Are there four terms in the polynomial? If you have four terms with no GCF, try to group the terms into smaller polynomials. Then factor each group by its GCF.

For example, factor $x^3+7 x^2+2 x+14$.

Factor out the common term.

Which function does the table of values represent?

A $y=x+8$

B $y=-x^2+12$

C $y=x^2+2$

D $y=-x^2-3 x+4$

To find the distance between (5,3) and (-2,9), Dan lets $\left(x_1, y_1\right)=(5,3)$ in the distance formula. Dawn lets $\left(x_1, y_1\right)=(-2,9)$. Explain why Dan and Dawn will get the same result.

Two students are asked to solve the equation $\frac{6 s^2-3 s}{15} \div 2 s-1$. Which student is correct? Explain the error.

Student A

$$\begin{aligned} &\frac{6s^2-3s}{15} \div 2s-1\\ &\frac{6s^2-3s}{15} \cdot \frac{2s-1}{1} = \frac{s(2s-1)^2}{5} \end{aligned}$$

Student B

$$\begin{aligned} &\frac{6s^2-3s}{15} \div 2s-1\\ &\frac{6s^2-3s}{15} \cdot \frac{1}{2s-1} = \frac{s}{5} \end{aligned}$$

Use a coordinate plane to model the following situation in a football game: A quarterback is on the 25 yard line at (25,10); he has two receivers, one at (30,40) and the other at (50,20).

Which receiver is closer to the quarterback?

A game has two spinners. The first spinner is divided into 8 equal sections numbered 1 to 8, while the second spinner is divided into 6 equal sections numbered 1 to 6. After spinning both spinners, the sum of the spins is found.

What is the probability that the sum is greater than 8?

Use a coordinate plane to model the following situation in a football game: A quarterback is on the 25 yard line at (25,10); he has two receivers, one at (30,40) and the other at (50,20).

Find the quarterback's distance to the receiver at (50,20). Give your answer to the nearest yard.

Use a coordinate plane to model the following situation in a football game: A quarterback is on the 25 yard line at (25,10); he has two receivers, one at (30,40) and the other at (50,20).

Find the quarterback's distance to the receiver at (30,40). Give your answer to the nearest yard.