Expressions, Equations, and Functions

Evaluate the expression ${\left(\frac{a}{b}\right)}^2-\frac{c}{a-b}$ if $a=8,b=4,c=16$.

Evaluate the expression $\frac{2a-b^2}{ab}+\frac{c-a}{b^2}$ if $a=8,b=4,c=16$.

One day, 28 small and 12 large merchant spaces were rented. Another day, 30 small and 15 large spaces were rented. Write and evaluate an expression to show the total rent collected.

SHOPPING Evelina is shopping for back-to-school clothes. She bought 3 skirts, 2 pairs of jeans, and 4 sweaters. Write and evaluate an expression to find out how much money Evelina spent on clothes, without including sales tax.

Solve and check the inequality $22>m-8$

Tara and Curtis are simplifying $\left[4\left(10\right)-3^2\right]+6\left(4\right)$. Is either of them correct? Explain your reasoning.

Explain how to evaluate $a\left[\right(b-c)÷d]-f$ if you were given values for a, b, c, d, and f. How would you evaluate the expression differently if the expression was $a\cdot b-c÷d-f?$

Write an expression using the whole numbers 1 to 5 using all five digits and addition and/or subtraction to create a numeric expression with a value of 3.

Write an expression that uses exponents, at least three different operations and two sets of parentheses. Explain the steps you would take to evaluate the expression.

Choose a geometric formula and explain how the order of operations applies when using the formula.

Are the expressions $\mathbf{(}\mathbf{30}\mathbf{+}\mathbf{17}\mathbf{)}\mathbf{\times }\mathbf{10}$ and $\mathbf{10}\mathbf{\times }\mathbf{30}\mathbf{+}\mathbf{10}\mathbf{\times }\mathbf{17}$ equivalent? Explain why or why not.

Write a verbal expression for each algebraic expression $\frac{\mathbf{4}\mathbf{-}\mathbf{v}}{\mathbf{w}}$

MONEY Destiny earns \( 8 per hour babysitting and \) 15 for each lawn she mows. Write an expression to show the amount of money she earns babysitting h hours and mowing m lawns.

Evaluate each expression.

$7^2$

Evaluate the expression ${14}^3$.

Evaluate the expression $2^6$.

Evaluate each expression.

$3^5-\left(1+{10}^2\right)$

Evaluate each expression.

$108÷\left[3\left(9+3^2\right)\right]$

Let $m$ represent the number of miles. Which algebraic expression represents the number of feet in $m$ miles?

A $5280m$

B $\frac{5280}{m}$

C  $m+5280$

D $5280-m$

What is the perimeter of the triangle if $a=9$ and $b=10$

Write a verbal expression for each algebraic expression $14-9c$

Write a verbal expression for each algebraic expression $k^3+13$

Find the area of the following figure.

Find the area of the following figure.

Find the area of the following figure.

Aaron correctly answered 27 out of 30 questions on his last biology test. What percent of the questions did he answer correctly?

Determine the value of the following expression.

$\mathbf{5}\mathbf{.65}\mathbf{-}\mathbf{3}\mathbf{.08}$

Determine the value of the following expression.

$6÷\frac{4}{5}$

Determine the value of the following expression.

$\mathbf{4}\mathbf{.85}\left(2.72\right)$

Determine the value of the following expression.

$1\frac{1}{12}+3\frac{2}{3}$

Determine the value of the following expression.

$\frac{4}{9}\cdot \frac{3}{2}$

Determine the value of the following expression.

$7\frac{3}{4}-4\frac{7}{10}$

Replace each • with <, >, or = to make a true sentence. 

$-\frac{5}{8}·\frac{3}{8}$

Replace each • with <, >, or = to make a true sentence.

$\frac{4}{5}·0.71$

Replace each • with <, >, or = to make a true. sentence.

$\frac{5}{6}·0.875$

Replace each • with <, >, or = to make a true sentence.

$1.2·1\frac{2}{9}$

Replace each • with <, >, or = to make a true sentence.

$\frac{8}{15}·0.5\overline{3}$

Replace each • with <, >, or = to make a true sentence.

$-\frac{7}{11}·-\frac{2}{3}$

Order each set of rational numbers from least to greatest.

$3.8, 3.06, 3\frac{1}{6}, 3\frac{3}{4}$

The order of set of rational numbers $2\frac{1}{2},1\frac{7}{8},1.75,2.4$ from least to greatest.

The order of the set of rational numbers $0.11, -\frac{1}{9}, -0.5, \frac{1}{10}$ from least to greatest.

The order of the set of rational numbers $-4\frac{3}{5}, -3\frac{2}{5}, -4.65, -4.09$ from least to greatest.

The simplified form of $\frac{2}{5}+\frac{1}{5}$.

The simplified form of $\frac{3}{9}+\frac{4}{9}$.

The simplified form of $\frac{5}{16}-\frac{4}{16}$.

The simplified form of $\frac{6}{7}-\frac{3}{7}$.

The simplified form of $\frac{2}{3}+\frac{1}{3}$.

The simplified form of $\frac{5}{8}+\frac{7}{8}$.

The simplified form of $\frac{4}{3}+\frac{4}{3}$.

The simplified form of $\frac{7}{15}-\frac{2}{15}$.