91Ó°ÊÓ

Perform the indicated operations and simplify. $$ [(u+v)-w][(u+v)+w] $$

Apply the commutative property of addition or multiplication. $$ -11+p $$

Perform the indicated operations and simplify. $$ [(c+d)-a][(c+d)+a] $$

Determine whether the statement is true or false. $$-\frac{5}{3}<-\frac{9}{5}$$

Simplify each expression. Assume that all variable expressions represent positive real numbers. \(\left(\frac{m^{2}}{m+n}\right)^{-1}\left(\frac{m^{2}}{m+n}\right)^{1 / 2}\)

The total national expenditure for health care has been increasing since the year 2000 . For privately insured individuals in the United States, the following models give the total amount spent for health insurance premiums \(I\) (in \$ billions) and the total amount spent on other out-of-pocket health- related expenses \(P\) (in \$ billions). (Source: U.S. Centers for Medicare \& Medicaid Services, www.census.gov) \(I=45.58 x+460.1 \quad\) Total spent on health insurance premiums \(x\) years since 2000. \(P=10.86 x+191.5 \quad\) Other out-of-pocket health-related expenses \(x\) years since 2000. Determine the total expenditure for private health insurance premiums for the year 2008 .

Simplify each expression. Assume that all variable expressions represent positive real numbers. \(\left(\frac{c^{2}}{c-d}\right)^{-2}\left(\frac{c^{2}}{c-d}\right)^{3 / 2}\)

The total national expenditure for health care has been increasing since the year 2000 . For privately insured individuals in the United States, the following models give the total amount spent for health insurance premiums \(I\) (in \$ billions) and the total amount spent on other out-of-pocket health- related expenses \(P\) (in \$ billions). (Source: U.S. Centers for Medicare \& Medicaid Services, www.census.gov) \(I=45.58 x+460.1 \quad\) Total spent on health insurance premiums \(x\) years since 2000. \(P=10.86 x+191.5 \quad\) Other out-of-pocket health-related expenses \(x\) years since 2000. Determine the total expenditure for other health-related out-of-pocket expenses for the year \(2005 .\)

Use the properties of exponents to simplify each expression. (See Examples \(3-6)\) $$ \left(-\frac{1}{3}-\frac{1}{4}+\frac{1}{2}\right)^{-2} $$

Apply the associative property of addition or multiplication. Then simplify if possible. $$ (t+3)+9 $$