In your own words, state the Pythagorean Theorem .

Simplify each exponential expression.

$$\frac{25 a^{13} b^4}{-5 a^2 b^3}$$

Add or subtract as indicated.

$$\frac{4}{x^2+6 x+9}+\frac{4}{x+3}$$

Rationalize the denominator.

$$\frac{\sqrt{2}}{\sqrt{3}}$$

Rewrite each expression without absolute value bars.

$$|300|$$

Solve each absolute value equation or indicate the equation has no solution.

$$|x+1|+5=3$$

Find each product.

$$(x + 1)^3$$

Simplify each exponential expression.

$$\frac{20 x^{24}}{10 x^6}$$

Add or subtract as indicated.

$$\frac{5}{2 x+8}+\frac{7}{3 x+12}$$

Rationalize the denominator.

$$\frac{3}{3\ +\ \sqrt{7}}$$

Solve each compound inequality.

$$7<x+5<11$$

Write an original word problem that can be solved using an equation. Then solve the problem .

Determine whether each statement is true or false.

$$0 \geq -13$$

Solve each absolute value equation or indicate the equation has no solution.

$$4\left|1-\frac{3}{4}x\right|+7=10$$