91Ó°ÊÓ

After a \(20 \%\) reduction, you purchase a television for \(\$ 336\) What was the television's price before the reduction?

In Exercises \(29-44\), perform the indicated operations and write the result in standard form. $$ (-2+\sqrt{-4})^{2} $$

Use interval notation to express solution sets and graph each solution set on a number line. Solve each linear inequality. $$18 x+45 \leq 12 x-8$$

Solve each equation in Exercises \(15-34\) by the square root property. $$ (2 x+8)^{2}=27 $$

Contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind , solve the equation. \(\frac{7}{2 x}-\frac{5}{3 x}=\frac{22}{3}\)

Solve each equation with rational exponents. Check all proposed solutions. $$ (x+5)^{\frac{3}{2}}=8 $$

In Exercises \(29-44\), perform the indicated operations and write the result in standard form. $$ (-5-\sqrt{-9})^{2} $$

After a \(30 \%\) reduction, you purchase a dictionary for \(\$ 30.80\) What was the dictionary's price before the reduction?

In Exercises \(35-46,\) determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $$ x^{2}+12 x $$

Contain rational equations with variables in denominators. For each equation, a. write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind , solve the equation. \(\frac{2}{3 x}+\frac{1}{4}=\frac{11}{6 x}-\frac{1}{3}\)