Chapter 2

For Problems \(1-16\), solve each equation. $$ |x-1|=8 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{2}{5} x+\frac{1}{3} x>\frac{44}{15} $$

Express the given inequality in interval notation and sketch a graph of the interval. \(x>1\)

Use the formula to solve for the given variable. Solve \(i=\) Prt for \(i\), given that \(P=\) 3000 dollars, r=4 %, and \(t=5\) years.

Solve each equation. \(0.14 x=2.8\)

Solve each equation. \(\frac{3}{4} x=9\)

Solve each equation. \(3 x+4=16\)

For Problems \(1-16\), solve each equation. $$ |x+2|=9 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{1}{4} x-\frac{4}{3} x<-13 $$

Express the given inequality in interval notation and sketch a graph of the interval. \(x>-2\)

Use the formula to solve for the given variable. Solve \(i=P r t\) for \(i\), given that P= 5000 dollars, r=6 %, and \(t=3 \frac{1}{2}\) years.

Solve each equation. 1\. \(6 x=8\)

Solve each equation. \(\frac{2}{3} x=-14\)

Solve each equation. \(4 x+2=22\)

For Problems \(1-16\), solve each equation. $$ |2 x-4|=6 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ x-\frac{5}{6}<\frac{x}{2}+3 $$

Express the given inequality in interval notation and sketch a graph of the interval. \(x \geq-1\)

Use the formula to solve for the given variable. Solve \(i=\) Prt for \(t\), given that P= 4000 dollars, r=5 %, and \(i\)= 600 dollars.

Solve each equation. \(0.09 y=4.5\)

Solve each equation. \(\frac{-2 x}{3}=\frac{2}{5}\)

Solve each equation. \(5 x+1=-14\)

For Problems \(1-16\), solve each equation. $$ |3 x-4|=14 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ x+\frac{2}{7}>\frac{x}{2}-5 $$

Express the given inequality in interval notation and sketch a graph of the interval. \(x \geq 3\)

Use the formula to solve for the given variable. Solve \(i=P r t\) for \(t\), given that P= 1250 dollars, r=3 %, and \(i\)= 150 dollars.

Solve each equation. \(0.07 y=0.42\)

Solve each equation. \(\frac{-5 x}{4}=\frac{7}{2}\)

Solve each equation. \(7 x+4=-31\)

For Problems \(1-16\), solve each equation. $$ |3 x+4|=11 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{x-2}{3}+\frac{x+1}{4} \geq \frac{5}{2} $$

Express the given inequality in interval notation and sketch a graph of the interval. \(x<-2\)

Use the formula to solve for the given variable. Solve \(i=\) Prt for \(r\), given that P= 600 dollars, t=2 \(\frac{1}{2}\) years, and i= 90 dollars. Express \(r\) as a percent.

Solve each equation. \(n+0.4 n=56\)

Solve each equation. \(\frac{n}{2}-\frac{2}{3}=\frac{5}{6}\)

Solve each equation. \(-x-6=8\)

For Problems \(1-16\), solve each equation. $$ |5 x-7|=14 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{x-1}{3}+\frac{x+2}{5} \leq \frac{3}{5} $$

Express the given inequality in interval notation and sketch a graph of the interval. \(x<1\)

Use the formula to solve for the given variable. Solve \(i=P r t\) for \(r\), given that P=700 dollars, t=2 years, and i= 84 dollars. Express \(r\) as a percent.

Solve each equation. \(n-0.5 n=12\)

Solve each equation. \(\frac{n}{4}-\frac{5}{6}=\frac{5}{12}\)

Solve each equation. \(8-x=-2\)

For Problems \(1-16\), solve each equation. $$ |4-2 x|=6 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{3-x}{6}+\frac{x+2}{7} \leq 1 $$

Express the given inequality in interval notation and sketch a graph of the interval. \(x \leq 2\)

Solve each equation. \(s=9+0.25 s\)

Solve each equation. \(\frac{5 n}{6}-\frac{n}{8}=\frac{-17}{12}\)

Solve each equation. \(4 y-3=21\)

For Problems \(1-16\), solve each equation. $$ |3-4 x|=8 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{4-x}{5}+\frac{x+1}{6} \geq 2 $$