1. Alida drives twice as fast as Steve. They start at the same time and drive in the same direction. After 3 hours, they are 93 miles apart. How fast is Alida driving?
2. The length of a rectangle is 3 times its width. If the perimeter is 48 centimeters, what is the width of the rectangle in centimeters? ___
3. Solve the rational equation: $\frac{2x - 1}{x + 3} = \frac{3}{2}$. The value of $x$ is ___.
4. Solve the linear equation for $k$: $-3(k - 2) - 4(2k + 5) = 10 + 3k$. The value of $k$ is ___.
5. A rider covers a route in 6 hours. The return trip, along the same route, takes 9 hours because his speed is 8 miles per hour slower. What is the length of the route in miles? ___ miles
6. Solve the linear equation for $p$: $5p + 10(17 - p) = 2p - 5$. The value of $p$ is ___.
7. A boat travels upstream for $\frac{3}{5}$ hours and returns downstream in $\frac{1}{2}$ hour. The river current is 4 mph. What is the speed of the motorboat in still water, in miles per hour? ___
8. Last Saturday, 620 people attended a theater. This Saturday, matinee attendance increased by 5% and evening attendance by 8%, for a new total of 663 people. How many people attended the matinee last Saturday? ___