Chapter 2

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ 5<4 t-1 \leq 11 $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ f(x)=4-\frac{1}{2} x $$

Solve the absolute value equation. $$|6 x-9|=0$$

Solve the equation and check your answer. $$ -3(5-x)-(x-2)=7 x-2 $$

Find the slope-intercept form for the line satisfying the conditions. y-intercept \(-155,\) slope 5.6

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ -5<1-2 x<40 $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ f(x)=2 x-3 $$

Solve the absolute value equation. $$|7-16 x|=0$$

Solve the equation and check your answer. $$ -4(5 x-1)=8-(x+2) $$

Find the slope-intercept form for the line satisfying the conditions. y-intercept \(45,\) x-intercept 90

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ -7 \leq \frac{1-4 x}{7}<12 $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ g(x)=\frac{1}{2} x $$

Solve the absolute value equation. $$|-x-4|=0$$

Solve the equation and check your answer. $$ 6(3-2 x)=1-(2 x-1) $$

Find the slope-intercept form for the line satisfying the conditions. \(x\) -intercept \(-6, y\) -intercept \(-8\)

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ 0<\frac{7 x-5}{3} \leq 4 $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ g(x)=3 $$

Solve the equation and check your answer. $$ \frac{2}{7} n+\frac{1}{5}=\frac{4}{7} $$

Find the slope-intercept form for the line satisfying the conditions. Slope \(-3,\) passing through \((0,5)\)

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ 5>2(x+4)-5>-5 $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ g(x)=5-5 x $$

Solve the equation and check your answer. $$ \frac{6}{11}-\frac{2}{33} n=\frac{5}{11} n $$

Find the slope-intercept form for the line satisfying the conditions. Slope \(\frac{1}{3},\) passing through \(\left(\frac{1}{2},-2\right)\)

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ \frac{8}{3} \geq \frac{4}{3}-(x+3) \geq \frac{2}{3} $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ g(x)=\frac{3}{4} x-2 $$

Solve the absolute value equation. $$|1.2 x-1.7|-1=3$$

Solve the equation and check your answer. $$ \frac{1}{2}(d-3)-\frac{2}{3}(2 d-5)=\frac{5}{12} $$

Find the slope-intercept form for the line satisfying the conditions. Passing through \((0,-6)\) and \((4,0)\)

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ 3 \leq \frac{1}{2} x+\frac{3}{4} \leq 6 $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ f(x)=20 x-10 $$

Solve the absolute value equation. $$|3-3 x|-2=2$$

Solve the equation and check your answer. $$ \frac{7}{3}(2 d-1)-\frac{2}{5}(4-3 d)=\frac{1}{5} d $$

Find the slope-intercept form for the line satisfying the conditions. $$ \text { Passing through }\left(\frac{3}{4},-\frac{1}{4}\right) \text { and }\left(\frac{5}{4}, \frac{7}{4}\right) $$

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ -4 \leq 5-\frac{4}{5} x<6 $$

Exercises \(19-32:\) Graph the linear function by hand. Identify the slope and y-intercept. $$ f(x)=-30 x+20 $$

Solve the absolute value equation. $$|4 x-5|+3=2$$

Solve the equation and check your answer. $$ \frac{x-5}{3}+\frac{3-2 x}{2}=\frac{5}{4} $$

Find the slope-intercept form for the line satisfying the conditions. $$ \text { Passing through }\left(\frac{1}{2}, \frac{3}{4}\right) \text { and }\left(\frac{1}{5}, \frac{2}{3}\right) $$

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ 5 x-2(x+3) \geq 4-3 x $$

Exercises \(33-38:\) Write a formula for a linear function f whose graph satisfies the conditions. $$ \text { Slope }-\frac{3}{4}, y \text { -intercept } \frac{1}{3} $$

Solve the absolute value equation. $$|4.5-2 x|+1.1=9.7$$

Solve the equation and check your answer. $$ \frac{3 x-1}{5}-2=\frac{2-x}{3} $$

Find the slope-intercept form for the line satisfying the conditions. $$ \text { Passing through }\left(-\frac{7}{3}, \frac{5}{3}\right) \text { and }\left(\frac{5}{6},-\frac{7}{6}\right) $$

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ 3 x-1<2(x-3)+1 $$

Exercises \(33-38:\) Write a formula for a linear function f whose graph satisfies the conditions. Slope \(-122, y\) -intercept 805

Solve the absolute value equation. $$|2 x-9|=|8-3 x|$$

Solve the equation and check your answer. $$ 0.1 z-0.05=-0.07 z \quad $$

Find the slope-intercept form for the line satisfying the conditions. Parallel to \(y=4 x+16,\) passing through \((-4,-7)\)

Solve the inequality symbolically. Express the solution set in set-builder or interval notation. $$ \frac{1}{2} \leq \frac{1-2 t}{3}<\frac{2}{3} $$

Exercises \(33-38:\) Write a formula for a linear function f whose graph satisfies the conditions. Slope \(15,\) passing through the origin