91Ó°ÊÓ

Solve the quadratic equation by factoring. $$ 4 x^{2}-12 x+8=0 $$

For the following exercises, evaluate the algebraic expressions. If \(y=\frac{1+2 x}{x+3},\) evaluate \(y\) given \(x=4 i\)

For each of the following exercises, find the \(x\)-intercept and the \(y\)-intercept without graphing. Write the coordinates of each intercept. $$2 x-\frac{2}{3}=\frac{3}{4} y+3$$

For the following exercises, solve the inequality. Write your final answer in interval notation $$ -5(x-1)+3>3 x-4-4 x $$

Solve the inequality. Write your final answer in interval notation. $$ -5(x-1)+3>3 x-4-4 x $$

For the following exercises, use this scenario: Two different telephone carriers offer the following plans that a person is considering. Company A has a monthly fee of \(\$ 20\) and charges of \(\$ .05 / \mathrm{min}\) for calls. Company \(\mathrm{B}\) has a monthly fee of \(\$ 5\) and charges \(\$ .10 / \mathrm{min}\) for calls. Find out how many minutes of calling would make the two plans equal.

For the following exercises, solve the equation for \(x\). $$ \frac{x}{3}-\frac{3}{4}=\frac{2 x+3}{12} $$

Solve the quadratic equation by factoring. $$ 3 x^{2}-75=0 $$

For the following exercises, solve the rational exponent equation. Use factoring where necessary. $$ x^{\frac{2}{3}}-5 x^{\frac{1}{3}}+6=0 $$

For each of the following exercises, solve the equation for \(y\) in terms of \(x\) . $$4 x+2 y=8$$