Solving Equations and Inequalities

Find the value of each expression

13. $\frac{14\left(8-15\right)}{2}$

Evaluate each expression if $a=12,b=0.5,c=-3$ and $d=\frac{1}{3}$

$6b-5c$

Evaluate each expression if $a=12,b=0.5,c=-3$ and $d=\frac{1}{3}$

$c^3+ab$

Evaluate each expression if $a=12,b=0.5,c=-3$ and $d=\frac{1}{3}$

$\frac{9c+ab}{c}$

Evaluate each expression if $a=12,b=0.5,c=-3$ and $d=\frac{1}{3}$

$a\left[b^2\left(b+a\right)\right]$

Name the sets of numbers to which each value belongs.

$-\sqrt{9}$

Name the sets of numbers to which each value belongs.

19. $1.\overline{6}$

Name the sets of numbers to which each value belongs.

19. $\frac{35}{7}$

Name the sets of numbers to which each number belongs.

 $\sqrt{18}$

Simplify the expression.

$2m+7n-6m-5n$

Simplify the following equation.

$-5\left(a-4b\right)+4b$

Simplify the following equation.

$2\left(5x+4y\right)-3\left(x+8y\right)$

Solve the equation and check the solution.

$x-6=-20$

Solve the equation and check the solution.

$-\frac{2}{3}a=14$

Solve the equation and check the solution.

$7+5n=-58$

Solve the equation and check the solution.

 $3w+14=7w+2$

Solve the equation and check the solution.

$5y+4=2\left(y-4\right)$

Solve the equation and check the solution.

$\frac{n}{4}+\frac{n}{3}=\frac{1}{2}$

Solve each equation or formula for the specified variables

$Ax+By=C$ for x

Solve each equation or formula for the specified variables

$\frac{a-4b^2}{2c}=d$ for a

Solve each equation or formula for the specified variables

33. $A=p+prt$ for p

Solve the equation and check the solution.

$|x+11|=42$

Solve the equation and check the solution.

$3|x+6|=36$

Solve the equation and check the solution.

$|4x-5|=-25$

Solve the equation and check the solution.

$|x+7|=3x-5$

Solve the equation and check the solution.

$|y-5|-2=10$

Solve the equation and check the solution. 

$4|3x+4|=4x+8$

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

40. $\mathbf{-}\mathbf{7}\mathbf{\omega }>\mathbf{28}$

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

$\mathbf{3}\mathbf{x}\mathbf{+}\mathbf{4}\ge \mathbf{19}$

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

42. $\frac{\mathbf{n}}{\mathbf{12}}\mathbf{+}\mathbf{5}\le \mathbf{7}$

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

$\mathbf{3}\left(\mathbf{6}\mathbf{-}\mathbf{5}\mathbf{a}\right)<\mathbf{12}\mathbf{a}\mathbf{-}\mathbf{36}$

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

$\mathbf{2}\mathbf{-}\mathbf{3}\mathbf{z}\ge \mathbf{7}\left(\mathbf{8}\mathbf{-}\mathbf{2}\mathbf{z}\right)\mathbf{+}\mathbf{12}$

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

45. $\mathbf{8}\left(\mathbf{2}\mathbf{x}\mathbf{-}\mathbf{1}\right)>\mathbf{11}\mathbf{x}\mathbf{-}\mathbf{17}$

Solve each inequality. Graph the solution set on a number line.

46. $\mathbf{-}\mathbf{1}<\mathbf{3}\mathbf{a}\mathbf{+}\mathbf{2}<\mathbf{14}$

Solve each inequality. Graph the solution set on a number line.

$\mathbf{-}\mathbf{1}<\mathbf{3}\left(\mathbf{y}\mathbf{-}\mathbf{2}\right)\le \mathbf{9}$

Solve each inequality. Graph the solution set on a number line.

48. $\left|\mathbf{x}\right|\mathbf{+}\mathbf{1}>\mathbf{12}$

Solve each inequality. Graph the solution set on a number line.

$\left|\mathbf{2}\mathbf{y}\mathbf{-}\mathbf{9}\right|\le \mathbf{27}$

Solve each inequality. Graph the solution set on a number line.

50. $\left|\mathbf{5}\mathbf{n}-\mathbf{8}\right|>\mathbf{-}\mathbf{4}$

Solve each inequality. Graph the solution set on a number line.

$\left|\mathbf{3}\mathbf{b}\mathbf{+}\mathbf{11}\right|>\mathbf{1}$

Choose the term that best completes each sentence.

Choose the term that best completes each sentence.

Choose the term that best completes each sentence.

If $\mathbf{x}\mathbf{+}\mathbf{3}\mathbf{=}\mathbf{y}$, then $\mathbf{y}\mathbf{=}\mathbf{x}\mathbf{+}\mathbf{3}$ is an example of the (Transitive, Symmetric) property of equality.

Find the value of each expression.

 $\left[{\left(\mathbf{3}\mathbf{+}\mathbf{6}\right)}^{\mathbf{2}}\mathbf{÷}\mathbf{3}\right]\mathbf{\times }\mathbf{4}$

Find the value of each expression.

$\frac{\mathbf{20}\mathbf{+}\mathbf{4}\mathbf{\times }\mathbf{3}}{\mathbf{11}\mathbf{-}\mathbf{3}}$  

Question: Find the value of each expression.

$\mathbf{0}\mathbf{.}\mathbf{5}\left(\mathbf{2}\mathbf{.}\mathbf{3}\mathbf{+}\mathbf{25}\right)\mathbf{÷}\mathbf{1}\mathbf{.}\mathbf{5}$

Evaluate each expression if $\mathbf{a}\mathbf{=}\mathbf{-}\mathbf{9}\mathbf{,}\mathbf{b}\mathbf{=}\frac{\mathbf{2}}{\mathbf{3}}\mathbf{,}\mathbf{c}\mathbf{=}\mathbf{8}\mathbf{,}$ and $\mathbf{d}\mathbf{=}\mathbf{-}\mathbf{6}$.

7. $\frac{\mathbf{db}\mathbf{+}\mathbf{4}\mathbf{c}}{\mathbf{a}}$

Evaluate each expression if $\mathbf{a}\mathbf{=}\mathbf{-}\mathbf{9}\mathbf{,}\mathbf{b}\mathbf{=}\frac{\mathbf{2}}{\mathbf{3}}\mathbf{,}\mathbf{c}\mathbf{=}\mathbf{8}\mathbf{,}$ and $\mathbf{d}\mathbf{=}\mathbf{-}\mathbf{6}$.

8. $\frac{\mathbf{a}}{{\mathbf{b}}^{\mathbf{2}}}\mathbf{+}\mathbf{c}$

Evaluate each expression if $\mathbf{a}\mathbf{=}\mathbf{-}\mathbf{9}\mathbf{,}\mathbf{b}\mathbf{=}\frac{\mathbf{2}}{\mathbf{3}}\mathbf{,}\mathbf{c}\mathbf{=}\mathbf{8}\mathbf{,}$ and $\mathbf{d}\mathbf{=}\mathbf{-}\mathbf{6}$.

9. $\mathbf{2}\mathbf{b}\left(\mathbf{4}\mathbf{a}\mathbf{+}{\mathbf{a}}^2\right)$$\mathbf{2}\mathbf{b}\left(\mathbf{4}\mathbf{a}\mathbf{+}{\mathbf{a}}^{\mathbf{2}}\right)$

Name the sets of numbers to which each number belongs.

$\sqrt{\mathbf{17}}$

Name the sets of numbers to which each number belongs.

 $\mathbf{0}\mathbf{.}\mathbf{86}$