Chapter 2

Express the given inequality in interval notation and sketch a graph of the interval. \(x \leq 0\)

Solve each equation. \(s=15+0.4 s\)

Solve each equation. \(\frac{2 n}{5}-\frac{n}{6}=\frac{-7}{10}\)

Solve each equation. \(6 y-7=41\)

For Problems \(1-16\), solve each equation. $$ \left|x-\frac{3}{4}\right|=\frac{2}{3} $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{x+3}{8}-\frac{x+5}{5} \geq \frac{3}{10} $$

Express each interval as an inequality using the variable \(x\). For example, we can express the interval \([5, \infty\) ) as \(x \geq 5\). \((-\infty, 4)\)

Solve each equation. \(s=3.3+0.45 s\)

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

Solve each equation. \(3 x-4=15\)

For Problems \(1-16\), solve each equation. $$ \left|x+\frac{1}{2}\right|=\frac{3}{5} $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{x-4}{6}-\frac{x-2}{9} \leq \frac{5}{18} $$

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

Use the formula to solve for the given variable. Solve \(A=P+P r t\) for \(A\), given that P= 850 dollars, r=4 \(\frac{1}{2} \%\), and \(t=10\) years.

Solve each equation. \(s=2.1+0.6 s\)

Solve each equation. \(\frac{3 a}{7}-1=\frac{a}{3}\)

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

For Problems \(1-16\), solve each equation. $$ |2 x-3|+2=5 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{4 x-3}{6}-\frac{2 x-1}{12}<-2 $$

Express each interval as an inequality using the variable \(x\). For example, we can express the interval \([5, \infty\) ) as \(x \geq 5\). \((-\infty,-7]\)

Use the formula to solve for the given variable. Solve \(A=P+P r t\) for \(r\), given that A= 1372 dollars, P= 700 dollars, and \(t=12\) years. Express \(r\) as a percent.

Solve each equation. \(0.11 x+0.12(900-x)=104\)

Solve each equation. \(\frac{h}{4}+\frac{h}{5}=1\)

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

For Problems \(1-16\), solve each equation. $$ |3 x-1|-1=9 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ \frac{3 x+2}{9}-\frac{2 x+1}{3}>-1 $$

Express each interval as an inequality using the variable \(x\). For example, we can express the interval \([5, \infty\) ) as \(x \geq 5\). \((-\infty, 9]\)

Use the formula to solve for the given variable. Solve \(A=P+P r t\) for \(r\), given that \(A=\) 516 dollars, P= 300 dollars, and \(t=8\) years. Express \(r\) as a percent.

Solve each equation. \(0.09 x+0.11(500-x)=51\)

Solve each equation. \(\frac{h}{6}+\frac{3 h}{8}=1\)

Solve each equation. \(-14=3 a-2\)

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

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ 0.06 x+0.08(250-x) \geq 19 $$

Express each interval as an inequality using the variable \(x\). For example, we can express the interval \([5, \infty\) ) as \(x \geq 5\). \((8, \infty)\)

Use the formula to solve for the given variable. Solve \(A=P+\) Prt for \(P\), given that A= 326 dollars, r=7 %, and \(t=9\) years.

Solve each equation. \(0.08(x+200)=0.07 x+20\)

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

Solve each equation. \(-6 y-4=16\)

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

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ 0.08 x+0.09(2 x) \geq 130 $$

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

Use the formula to solve for the given variable. Solve \(A=P+P r t\) for \(P\), given that A= 720 dollars, r=8 %, and \(t=10\) years.

Solve each equation. \(0.07 x=152-0.08(2000-x)\)

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

Solve each equation. \(-8 y-2=18\)

For Problems \(1-16\), solve each equation. $$ |4 x-3|+2=2 $$

For Problems \(1-18\), solve each of the inequalities and express the solution sets in interval notation. $$ 0.09 x+0.1(x+200)>77 $$

Express each interval as an inequality using the variable \(x\). For example, we can express the interval \([5, \infty\) ) as \(x \geq 5\). \([-7, \infty)\)

Use the formula to solve for the given variable. Solve the formula \(A=\frac{1}{2} h\left(b_{1}+b_{2}\right)\) for \(b_{2}\) and complete the following chart. \(A=\) area, \(h=\) height, \(b_{1}=\) one base, \(b_{2}=\) other base

Solve each equation. \(0.12 t-2.1=0.07 t-0.2\)