Chapter 2

Solve each equation. \(\frac{x+3}{2}+\frac{x+4}{5}=\frac{3}{10}\)

Solve each equation. \(4(x-3)=-20\)

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

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

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

Solve each equation. Find the discount sale price of a \(\$ 72\) item that is on sale for \(35 \%\) off.

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

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

Solve each equation and inequality. \(|1-2 x|<2\)

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 \(x \geq 5\). \(15<1-7 x\)

Solve each equation for \(x\). \(\frac{x-a}{b}=c\)

Solve each equation. A retailer has some skirts that cost \(\$ 30\) each. She wants to sell them at a profit of \(60 \%\) of the cost. What price should she charge for the skirts?

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

Solve each equation. \(-3(x-2)=11\)

Solve each equation and inequality. \(|2-3 x|<5\)

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

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(12<2-5 x\)

Solve each equation for \(x\). \(\frac{x}{a}-1=b\)

Solve each equation. The owner of a pizza parlor wants to make a profit of \(70 \%\) of the cost for each pizza sold. If it costs \(\$ 2.50\) to make a pizza, at what price should each pizza be sold?

Solve each equation. \(n-\frac{3 n+1}{6}-1=\frac{2 n+4}{12}\)

Solve each equation. \(-5(x-1)=12\)

Solve each equation and inequality. \(|5 x+9| \leq 16\)

For Problems \(35-44\), solve each compound inequality and graph the solution sets. Express the solution sets in interval notation. \(x-2>-1 \quad\) and \(\quad x-2<1\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(-10 \leq 2+4 x\)

Solve each equation for \(x\). \(\frac{1}{3} x+a=\frac{1}{2} b\)

Solve each equation. \(\frac{3}{4}(t-2)-\frac{2}{5}(2 t-3)=\frac{1}{5}\)

Solve each equation and inequality. \(|7 x-6| \geq 22\)

Solve each compound inequality and graph the solution sets. Express the solution sets in interval notation. \(x+3>-2\) and \(x+3<2\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(-9 \leq 1+2 x\)

Solve each equation for \(x\). \(\frac{2}{3} x-\frac{1}{4} a=b\)

Solve each equation. If a head of lettuce costs a retailer \(\$ 0.32\), at what price should it be sold to yield a profit of \(60 \%\) on the selling price?

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

Solve each equation. \(3(2 x-1)=2(4 x+7)\)

Solve each equation and inequality. \(\left|x-\frac{3}{4}\right|=\frac{2}{3}\)

Solve each compound inequality and graph the solution sets. Express the solution sets in interval notation. \(x+2<-3\) or \(x+2>3\)

For Problems 37-46, solve each equation for the indicated variable. \(2 x-5 y=7\) for \(x\)

Solve each equation. If a pair of shoes costs a retailer \(\$ 24\), and he sells them for \(\$ 39.60\), what is his rate of profit based on the cost?

Solve each equation. \(\frac{1}{2}(2 x-1)-\frac{1}{3}(5 x+2)=3\)

Solve each equation. \(5 x-4(x-6)=-11\)

Solve each equation and inequality. \(\left|x+\frac{1}{2}\right|=\frac{3}{5}\)

Solve each compound inequality and graph the solution sets. Express the solution sets in interval notation. \(x-4<-2\) or \(x-4>2\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(2(x-1)<-4\)

Solve each equation for the indicated variable. \(5 x-6 y=12 \quad\) for \(x\)

Solve each equation. A retailer has some skirts that cost her \(\$ 45\) each. If she sells them for \(\$ 83.25\) per skirt, find her rate of profit based on the cost.

Solve each equation. \(\frac{2}{5}(4 x-1)+\frac{1}{4}(5 x+2)=-1\)

Solve each equation. \(3 x-5(2 x+1)=13\)

Solve each equation and inequality. \(|-2 x+7| \leq 13\)

Solve each compound inequality and graph the solution sets. Express the solution sets in interval notation. \(2 x-1 \geq 5 \quad\) and \(\quad x>0\)

Express each interval as an inequalit using the variable \(x\). For example, we can express the inter val \([5, \infty)\) as \(x \geq 5\). \(5 x+2 \geq 4 x+6\)