91Ó°ÊÓ

For the following exercises, use the information to find a linear algebraic equation model to use to answer the question being asked. Ben originally filled out 8 more applications than Henry. Then each boy filled out 3 additional applications, bringing the total to 28\. How many applications did each boy originally fill out?

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

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

For the following exercises, solve the equation for \(x\). $$ 3(x+2)-12=5(x+1) $$

For the following exercises, solve the quadratic equation by factoring. $$ 2 x^{2}+9 x-5=0 $$

For the following exercises, evaluate the algebraic expressions. If \(y=\frac{x+1}{2-x},\) evaluate \(y\) given \(x=5 i\).

For the following exercises, solve the quadratic equation by factoring. $$ 6 x^{2}+17 x+5=0 $$

For the following exercises, solve the inequality. Write your final answer in interval notation. $$ 4(x+3) \geq 2 x-1 $$

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 $$\$ .05 /$$ min for calls. Company \(B\) has a monthly fee of $$\$ 5$$ and charges $$\$ .10 / \mathrm{min}$$ for calls. Find the model of the total cost of Company A's plan, using \(m\) for the minutes.

For each of the following exercises, find the \(x\) -intercept and the \(y\) -intercept without graphing. Write the coordinates of each intercept. $$ 3 x+8 y=9 $$