Expressions, Equations, and Functions

Evaluate the following expression. Name the property used in each step:

$\mathbf{2}\left(3\cdot 2-5\right)\mathbf{+}\mathbf{3}\mathbf{\cdot }\frac{\mathbf{1}}{\mathbf{3}}$

The simplified value of the expression $2\frac{1}{2}.\left(-\frac{1}{4}\right)$.

The simplified value of the expression $3\frac{1}{2}.1\frac{1}{2}$.

Find the following product.

$\frac{2}{9}·\frac{1}{2}$

Hotel RATES A traveler checks into a hotel on Friday and checks out the following Tuesday morning. Use the table to find the total cost of the room including tax.

Find the following product.

$\frac{3}{2}·\left(-\frac{1}{3}\right)$

Find the following product.

$\frac{1}{3}·\frac{6}{5}$

Find the following product.

$-\frac{9}{4}·\frac{1}{18}$

Find the following product.

$\frac{11}{3}·\frac{9}{44}$

Find the following product.

$-\frac{30}{11}·\left(-\frac{1}{3}\right)$

Find the following product.

$-\frac{3}{5}·\frac{5}{6}$

Find the following product.

$\left(-\frac{1}{3}\right)\left(-7\frac{1}{2}\right)$

Find the following product.

$\frac{2}{7}·4\frac{2}{3}$

Name the reciprocal of the following number.

$\frac{6}{7}$

Name the reciprocal of the following number.

$\frac{1}{22}$

Name the reciprocal of the following number.

$-\frac{14}{23}$

Name the reciprocal of the following number.

$2\frac{3}{4}$

Name the reciprocal of the following number.

$-5\frac{1}{3}$

Name the reciprocal of the following number.

$3\frac{3}{4}$

Find the following quotient.

$\frac{2}{3}÷\frac{1}{3}$

Find the following quotient.

$\frac{16}{9}÷\frac{4}{9}$

Find the following quotient.

$\frac{3}{2}÷\frac{1}{2}$

Find the following quotient.

$\frac{3}{7}÷\left(-\frac{1}{5}\right)$

Find the following quotient.

$-\frac{9}{10}÷3$

Find the following quotient.

$\frac{1}{2}÷\frac{3}{5}$

Find the following quotient.

$2\frac{1}{4}÷\frac{1}{2}$

Find the following quotient.

$-1\frac{1}{3}÷\frac{2}{3}$

Find the following quotient.

$\frac{11}{12}÷1\frac{2}{3}$

Find the following quotient.

$4÷\left(-\frac{2}{7}\right)$

Find the following quotient.

$-\frac{1}{3}÷\left(-1\frac{1}{5}\right)$

Find the following quotient.

$\frac{3}{25}÷\frac{2}{15}$

A large pizza at Pizza Shack has 12 slices and Bobby ate $\frac{1}{4}$ of pizza. Find the number of slices of pizza that Bobby ate out of 12 slices.

Find the number of hours that Samantha practices flute in a month.

Find the number of band uniforms that can be made with $\mathbf{131}\frac{\mathbf{3}}{\mathbf{4}}$ yards of fabric if each uniform requires $\mathbf{3}\frac{\mathbf{7}}{\mathbf{8}}$ yards.

Find the number of boards of each 2 feet 8 inches long, can be cut from a board 16 feet long.

Find the number of 9-inch ribbons which can be cut from $\mathbf{1}\frac{\mathbf{1}}{\mathbf{2}}$ yards of ribbon.

Evaluate the following expression. Name the property used in each step:

$\mathbf{3}\left(22-3\cdot 7\right)$

Evaluate the following expression. Name the property used in each step:

$\mathbf{7}\mathbf{+}\left(9-3^2\right)$

Evaluate the following expression. Name the property used in each step:

$\frac{\mathbf{3}}{\mathbf{4}}\left[4÷\left(7-4\right)\right]$

Evaluate the following expression. Name the property used in each step:

$\mathbf{6}\mathbf{\cdot }\frac{\mathbf{1}}{\mathbf{6}}\mathbf{+}\mathbf{5}\left(12÷4-3\right)$

 Evaluate the following expression and name the property used in each step:

$\mathbf{25}\mathbf{+}\mathbf{14}\mathbf{+}\mathbf{15}\mathbf{+}\mathbf{36}$

Evaluate the following expression and name the property used in each step:

$11+7+5+13$

Evaluate the following expression and name the property used in each step:

$3\frac{2}{3}+4+5\frac{1}{3}$

Evaluate the following expression and name the property used in each step:

$4\frac{4}{9}+7\frac{2}{9}$

Evaluate the following expression and name the property used in each step:

$\mathbf{4}\mathbf{.3}\mathbf{+}\mathbf{2}\mathbf{.4}\mathbf{+}\mathbf{3}\mathbf{.6}\mathbf{+}\mathbf{9}\mathbf{.7}$

Evaluate the following expression and name the property used in each step:

$\mathbf{3}\mathbf{.25}\mathbf{+}\mathbf{2}\mathbf{.2}\mathbf{+}\mathbf{5}\mathbf{.4}\mathbf{+}\mathbf{10}\mathbf{.75}$

Evaluate the following expression and name the property used in each step:

$\mathbf{12}\mathbf{\cdot }\mathbf{2}\mathbf{\cdot }\mathbf{6}\mathbf{\cdot }\mathbf{5}$

Evaluate the following expression and name the property used in each step:

$\mathbf{2}\mathbf{\cdot }\mathbf{8}\mathbf{\cdot }\mathbf{10}\mathbf{\cdot }\mathbf{2}$

Evaluate the following expression and name the property used in each step:

$\mathbf{0}\mathbf{.2}\mathbf{\cdot }\mathbf{4}\mathbf{.6}\mathbf{\cdot }\mathbf{5}$

Evaluate the following expression and name the property used in each step:

$\mathbf{3}\mathbf{.5}\mathbf{\cdot }\mathbf{3}\mathbf{\cdot }\mathbf{6}$