Chapter 2

Solve each equation and inequality. \(|x+2|=9\)

Solve each of the inequalities and express the solution sets in interval notation. \(0.07 x+0.08(x+100)>38\)

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

Use the formula \(P=2 l+2 w\) and complete the following chart. (You may want to change the form of the formula.) $$ \begin{array}{ccccccc} \hline \boldsymbol{P} & 28 & 18 & 12 & 34 & 68 & \text { centimeters } \\ \hline w & 6 & 3 & 2 & 7 & 14 & \text { centimeters } \\ \hline I & ? & ? & ? & ? & ? & \text { centimeters } \\ \hline \end{array} $$ $$ P=\text { perimeter, } w=\text { width }, l=\text { length } $$

Solve each equation. \(0.13 t-3.4=0.08 t-0.4\)

Solve each equation. \(\frac{x+4}{5}+\frac{x-1}{4}=\frac{37}{10}\)

Solve each equation. \(9 x-3=6 x+18\)

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

Solve each of the inequalities and express the solution sets in interval notation. \(x \geq 3.4+0.15 x\)

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

Solve each of the following for the indicated variable. \(V=B h \quad\) for \(h \quad\) (Volume of a prism)

Solve each equation. \(0.92+0.9(x-0.3)=2 x-5.95\)

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

Solve each equation. \(5 y+2=2 y-11\)

Solve each equation and inequality. \(|x-3|>9\)

Solve each of the inequalities and express the solution sets in interval notation. \(x \geq 2.1+0.3 x\)

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

Solve each of the following for the indicated variable. \(A=l w\) for \(l\) (Area of a rectangle)

Solve each equation. \(0.3(2 n-5)=11-0.65 n\)

Solve each equation. \(\frac{2 x+1}{3}-\frac{x+1}{7}=-\frac{1}{3}\)

Solve each equation. \(9 y+3=4 y-10\)

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

For Problems 19-34, graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x>-1 \quad\) and \(\quad x<2\)

Solve each of the following for the indicated variable. \(V=\pi r^{2} h \quad\) for \(h \quad\) (Volume of a circular cylinder)

Solve each equation. \(0.1 d+0.11(d+1500)=795\)

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

Solve each equation and inequality. \(|x+1|<8\)

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

Solve each of the following for the indicated variable. \(V=\frac{1}{3} B h \quad\) for \(B \quad\) (Volume of a pyramid)

Solve each equation. \(0.8 x+0.9(850-x)=715\)

Solve each equation. \(\frac{n-1}{9}-\frac{n+2}{6}=\frac{3}{4}\)

Solve each equation. \(2 x-1=6 x+15\)

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

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

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

Solve each of the following for the indicated variable. \(C=2 \pi r\) for \(r \quad\) (Circumference of a circle)

Solve each equation. \(0.12 x+0.1(5000-x)=560\)

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

Solve each equation. \(-7 a+6=-8 a+14\)

Solve each equation and inequality. \(|3 x-4|=14\)

Graph the solution set for each compound inequality, and express the solution sets in interval notation. \(x \leq 4 \quad\) and \(\quad x \geq-2\)

\(A=2 \pi r^{2}+2 \pi r h\) for \(h \quad\) (Surface area of a circular cylinder)

Solve each equation. \(0.10 t+0.12(t+1000)=560\)

Solve each equation. \(\frac{y}{3}+\frac{y-2}{8}=\frac{6 y-1}{12}\)

Solve each equation. \(-6 a-4=-7 a+11\)

Solve each equation and inequality. \(|2 x-1| \leq 9\)

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

Solve each of the following for the indicated variable. \(I=\frac{100 M}{C}\) for \(C \quad\) (Intelligence quotient)

Solve each equation. \(0.09(x+200)=0.08 x+22\)

Solve each equation. \(\frac{4 x-1}{10}-\frac{5 x+2}{4}=-3\)