Expressions, Equations, and Functions

Find each sum or difference.

$-80+102$

Evaluate each expression.

$\frac{{\left(4\cdot 3\right)}^2}{9+3}$

Evaluate the expression $8b-a$ if $a=4,b=6,c=8$.

Find each product or quotient.

$5\left(18\right)$

Evaluate the expression $2a+\left(b^2÷3\right)$ if $a=4,b=12$.

Find each product or quotient.

$60÷12$

Evaluate each expression if $a=4$, $b=6$ and $c=8$.

$\frac{b\left(9-c\right)}{a^2}$

Find each product or quotient.

$-12\left(15\right)$

BOOKS Akira bought one new book for \(20 and three used books for \)4.95 each. Write and evaluate an expression to find how much money the books cost.

Find each product or quotient.

$\left(-64\right)÷\left(-8\right)$

Write and evaluate an expression to find how much the cost of the food.

Find each product or quotient.

$8\left(-22\right)$

Find each product or quotient.

$30\left(14\right)$

The outside temperature was –4°F in the morning and 13°F in the afternoon. By how much did the temperature increase?

DOLPHINS A dolphin swimming 24 feet below the ocean’s surface dives 18 feet straight down. How many feet below the ocean’s surface is the dolphin now?

A movie gave out 50 coupons for $3 off each movie. What is the total amount of discounts provided by the theater?

WAGES Emilio earns \(11 per hour. He works 14 hours a week. His employer withholds \)32 from each paycheck for taxes. If he is paid weekly, what is the amount of his paycheck?

Talia is working on a monthly budget. Her monthly income is \(500. She has allocated \)200 for savings, \(100 for vehicle expenses, and \)75 for clothing. How much is available to spend on entertainment?

Evaluate the expression $35-3\cdot 8$.

Evaluate each expression.

$18÷9+2\cdot 6$

Evaluate each expression.

$10+8^3÷16$

Evaluate each expression.

$24÷6+2^3\cdot 4$

Evaluate each expression.

$\left(11\cdot 7\right)-9\cdot 8$

Evaluate each expression.

$\left(12-6\right)\cdot 5^2$

Evaluate each expression.

$\left[\left(6^3-9\right)÷23\right]4$

Evaluate each expression.

$\frac{8+3^3}{12-7}$

Evaluate each expression.

$\frac{\left(1+6\right)9}{5^2-4}$

Evaluate each expression if $g=2$, $r=3$ and $t=11$.

$g+6t$

Evaluate each expression if $g=2$, $r=3$ and $t=11$.

$7-gr$

Evaluate each expression if $g=2$, $r=3$ and $t=11$.

$r^2+{\left(g^3-8\right)}^5$

Evaluate each expression if $g=2$, $r=3$ and $t=11$.

$\left(2t+3g\right)÷4$

Evaluate each expression if $g=2$, $r=3$ and $t=11$.

$t^2+8rt+r^2$

Evaluate each expression if $g=2$, $r=3$ and $t=11$.

$3g{\left(g+r\right)}^2-1$

Write an algebraic expression to represent the area of the triangle. Then evaluate it to find the area when $h=12$ inches

In 1997, there were 3344 amusement parks and arcades. This decreased by 148 by 2002. Write and evaluate an expression to find the number of amusement parks and arcades in 2002.

Kamilah works at the Duke University Athletic Ticket Office. One week she sold 15 preferred season tickets, 45 blue zone tickets, and 55 general admission tickets. The cost of 1 preferred season ticket = \(100, cost of 1 blue zone tickets = \)80, cost of general admission ticket = $70. Write and evaluate an expression to find the amount of money Kamilah processed.

Evaluate the expression $4^2$.

Evaluate the expression ${12}^3$.

Evaluate the expression $3^6$.

Evaluate the expression ${11}^5$.

Evaluate the expression ${\left(3-4^2\right)}^2+8$.

Evaluate the expression $23-2\left(17+3^3\right)$.

Evaluate the expression $3\left[4-8+4^2(2+5)\right]$.

Evaluate the expression $\frac{2·8^2-2^2·8}{2·8}$.

Evaluate the expression $25+\left[(16-3\cdot 5)+\frac{12+3}{5}\right]$.

Evaluate the expression $7^3-\frac{2}{3}(13\cdot 6+9)4$.

Evaluate the expression $a^{2}bc-b^2$ if $a=8,b=4,c=16$.

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

Evaluate the expression $\frac{2b+3c^2}{4a^2-2b}$ if $a=8,b=4,c=16$.

Evaluate the expression $\frac{3ab+c^2}{a}$ if $a=8,b=4,c=16$.