Chapter 2

Solve each equation. \(5 x+3-2 x=x-15\)

Solve each equation and inequality. \(|3 x+1| \leq 13\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x>1 \quad\) or \(\quad x<-4\)

Solve each of the following for the indicated variable. \(A=\frac{1}{2} h\left(b_{1}+b_{2}\right) \quad\) for \(h \quad\) (Area of a trapezoid)

Solve each equation. \(0.09 x=1650-0.12(x+5000)\)

Solve each equation. \(\frac{2 x-1}{2}-\frac{3 x+1}{4}=\frac{3}{10}\)

Solve each equation. \(4 x-2-x=5 x+10\)

Solve each equation and inequality. \(|4 x+2| \geq 12\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x \leq 1 \quad\) or \(\quad x>3\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(3 x-2>-5\)

Solve each of the following for the indicated variable. \(\mathrm{F}=\frac{9}{5} C+32\) for \(\mathrm{C} \quad\) (Celsius to Fahrenheit)

Solve each equation. \(0.3(2 t+0.1)=8.43\)

Solve each equation. \(\frac{2 x-1}{8}-1=\frac{x+5}{7}\)

Solve each equation. \(6 y+18+y=2 y+3\)

Solve each equation and inequality. \(|5 x-2| \geq 10\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x<-2 \quad\) or \(\quad x \geq 1\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(5 x-3<-3\)

Solve each of the following for the indicated variable. $$ \mathrm{C}=\frac{5}{9}(F-32) \text { for } \mathrm{F} $$ (Fahrenheit to Celsius)

Solve each equation. \(0.5(3 t+0.7)=20.6\)

Solve each equation. \(\frac{3 x+1}{9}+2=\frac{x-1}{4}\)

Solve each equation. \(5 y+14+y=3 y-7\)

Solve each equation and inequality. \(|3 x+4|=11\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x>0\) and \(x>-1\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(-7 x-3 \leq 4\)

Solve each equation. \(0.1(x-0.1)-0.4(x+2)=-5.31\)

Solve each equation. \(\frac{2 a-3}{6}+\frac{3 a-2}{4}+\frac{5 a+6}{12}=4\)

Solve each equation. \(4 x-3+2 x=8 x-3-x\)

Solve each equation and inequality. \(|5 x-7|=14\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x>-2\) and \(x>2\)

Solve each equation. \(0.2(x+0.2)+0.5(x-0.4)=5.44\)

Solve each equation. \(\frac{3 a-1}{4}+\frac{a-2}{3}-\frac{a-1}{5}=\frac{21}{20}\)

Solve each equation. \(x-4-4 x=6 x+9-8 x\)

Solve each equation and inequality. \(|4-2 x|=6\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x<0 \quad\) and \(\quad x>4\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(2+6 x>-10\)

Solve each equation. Judy bought a coat at a \(20 \%\) discount sale for \(\$ 72\). What was the original price of the coat?

Solve each equation. \(x+\frac{3 x-1}{9}-4=\frac{3 x+1}{3}\)

Solve each equation. \(6 n-4-3 n=3 n+10+4 n\)

Solve each equation and inequality. \(|3-4 x|=8\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x>1\) or \(x<2\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(1+6 x>-17\)

Solve each equation for \(x\). \(a(x+b)=c\)

Solve each equation. Jim bought a pair of slacks at a \(25 \%\) discount sale for \(\$ 24\). What was the original price of the slacks?

Solve each equation. \(\frac{2 x+7}{8}+x-2=\frac{x-1}{2}\)

Solve each equation. \(2 n-1-3 n=5 n-7-3 n\)

Solve each equation and inequality. \(|2-x|>4\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x>-2\) or \(x<3\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(5-3 x<11\)

Solve each equation for \(x\). \(a(x+b)=b(x-c)\)

Solve each equation. Find the discount sale price of a \(\$ 64\) item that is on sale for \(15 \%\) off.