91Ó°ÊÓ

In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. $$ (1,6] $$

In 2014, the average age of cars on U.S. roads was 11.3 years. For the period shown, this average age increased by approximately 0.2 year per year. If this trend continues, how many years after 2014 will the average age of vehicles on U.S. roads be 12.3 years? In which year will this occur?

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{3 x+18}=x$$

A discount pass for a bridge costs \(\$ 30\) per month. The toll for the bridge is normally \(\$ 5.00,\) but it is reduced to \(\$ 3.50\) for people who have purchased the discount pass. Determine the number of times in a month the bridge must be crossed so that the total monthly cost without the discount pass is the same as the total monthly cost with the discount pass.

In Exercises 1–12, plot the given point in a rectangular coordinate system. $$ \left(-\frac{5}{2}, \frac{3}{2}\right) $$

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{6 x+1}=x-1$$

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

Graph each equation in Exercises \(13-28 .\) Let \(x=-3,-2,-1,0\) \(1,2,\) and 3. $$ y=2 x-4 $$

Solve equation by the square root property. $$ (x-3)^{2}=36 $$

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $$\sqrt{x}-3=x-9$$