Problem 14
Graph each equation on a graphing calculator. Then sketch the graph. $$ y=3\left|\frac{1}{3}-\frac{1}{3} x\right| $$
Problem 15
Graph each absolute value inequality. $$ y-7>|x+2| $$
Problem 16
Find the slope of the line through each pair of points. \((1,2)\) and \((2,3)\)
Problem 21
Write in standard form the equation of each line. slope \(=\frac{5}{6} ;(22,12)\)
Problem 22
Multiple Choice At a restaurant, Elena wants to leave a tip that is 15\(\%\) of the bill \(B\) plus \(\$ 1 .\) Which linear model best describes the total \(T ?\) $$ \begin{array}{ll}{\text { A } T=15 B+1} & {\text { B } T=B+15} \\ {\text { C } T=1.15 B} & {\text { D } T=1.15 B+1}\end{array} $$
Problem 25
\(y\) varies directly with \(x\). If \(y=6\) when \(x=2,\) find \(x\) when \(y=12\)
Problem 27
For each function, find \(f(-5), f(-3), f\left(\frac{1}{2}\right),\) and \(f(4)\) $$ f(x)=2 x-3 $$
Problem 29
For each function, find \(f(-5), f(-3), f\left(\frac{1}{2}\right),\) and \(f(4)\) $$ f(x)=\frac{5}{6} x+\frac{1}{3} $$
Problem 30
Graph each inequality on a coordinate plane. $$ |x-1|>y+7 $$
Problem 31
Write in point-slope form the equation of the line through each pair of points. \((1,9)\) and \((6,2)\)