Expressions, Equations, and Functions

AQUARIUMS An aquarium is 8 feet long, 5 feet wide, and 5.5 feet deep. What is the volume of the tank?

Write and evaluate an expression to find the cost for 5 adults and 8 children.

COOKING What is the volume of a microwave oven that is 18 inches wide by 10 inches long with a depth of $11\frac{1}{2}$ inches?

Write an algebraic expression to represent the perimeter of the rectangle and then evaluate it to find the perimeter when $w=8\text{\hspace{0.17em}\hspace{0.17em}cm}$.

BOXES A cardboard box is 32 inches long, 22 inches wide, and 16 inches tall. What is the volume of the box?

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

 $\left(8-2^3\right)+21$

SWIMMING POOLS A children's rectangular pool holds 480 cubic feet of water. What is the depth of the pool if its length is 30 feet and its width is 16 feet?

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

$3\left(1÷3\right)\cdot 9$

BAKING A rectangular cake pan has a volume of 234 cubic inches. If the length of the pan is 9 inches and the width is 13 inches, what is the height of the pan?

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

$\left[5÷\left(3\cdot 1\right)\right]\frac{3}{5}$

GEOMETRY The volume of the rectangular prism at the right is 440 cubic centimeters. What is the width?

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

$18+35+32+15$

Find the volume of each cylinder. Round to the nearest tenth.

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

$0.25\cdot 7\cdot 4$

Find the volume of each cylinder. Round to the nearest tenth.

Use the Distributive Property to rewrite the following expression:

$3\left(5+2\right)$

Find the volume of each cylinder. Round to the nearest tenth.

Use the Distributive Property to rewrite the following expression:

Use the Distributive Property to rewrite the following expression:

$8\left(7-4\right)$

Use the Distributive Property to rewrite the following expression:

$4\left(x+3\right)$

Use the Distributive Property to rewrite the following expression:

$\left(6-2y\right)7$

Use the Distributive Property to rewrite the following expression:

$-5\left(3m-2\right)$

DVD SALES A video store chain has three locations. Use the information in the table below to write and evaluate an expression to estimate the total number of DVDs sold over a 4 -day period. (Lesson 1–4)

Use the Distributive Property to rewrite the following expression:

$\left(8-3p\right)\left(-2\right)$

F. $16-16p$

G. $-10p$

H. $-16+6p$

J. $10p$

Determine the solution set for the following equation if the replacement set is $\left\{0,1,2,3\right\}$:

$\mathbf{8}\mathit{m}\mathbf{-}\mathbf{7}\mathbf{=}\mathbf{17}$

Find the surface area of each rectangular prism given the measurements below.

$l=6 \mathrm{in}., w=1\mathrm{in}., h=4 \mathrm{in}.$

Find the surface area of each rectangular prism given the measurements below.

$l=8m, w=2m, h=2m$

Find the surface area of each rectangular prism given the measurements below.

$l=10mm, w=4mm, h=5mm$

Find the surface area of each rectangular prism given the measurements below.

$l=6.2cm, w=1cm, h=3cm$

Find the surface area of each rectangular prism given the measurements below.

$l=7ft, w=2ft, h=\frac{1}{2}ft$

Find the surface area of each rectangular prism given the measurements below.

$l=7.8m, w=3.4m, h=9m$

Find the surface area of each solid.

Find the surface area of each solid.

Find the surface area of each solid.

Find the surface area of each solid.

Find the surface area of each solid.

Find the surface area of each solid.

GEOMETRY What is the surface area of a cube with a side length of 2 meters?

GIFTS A gift box is a rectangular prism 14 inches long, 5 inches wide, and 4 inches high. If the box is to be covered in fabric, how much fabric is needed if there is no overlap?

BOXES A new refrigerator is shipped in a box 34 inches deep, 66 inches high, and $33\frac{1}{4}$ inches wide. What is the surface area of the box in square feet? Round to the nearest square foot. (Hint: $1 {\mathrm{ft}}^2=144 {\mathrm{in}}^2$)

PAINTING A cabinet is 6 feet high, 3 feet wide, and 2 feet long. The entire outside surface of the cabinet is being painted except for the bottom. What is the surface area of the cabinet that is being painted?

SOUP A soup can is 4 inches tall and has a diameter of $3\frac{1}{4}$  inches. How much paper is needed for the label on the can? Round your answer to the nearest tenth.

CRAFTS For a craft project, Sarah is covering all the sides of a box with stickers. The length of the box is 8 inches, the width is 6 inches, and the height is 4 inches. If each sticker has a length of 2 inches and a width of 4 inches, how many stickers does she need to cover the box?

Find the solution set for each equation if the replacement set is $\mathrm{\{}\mathrm{11}\mathrm{,}\mathrm{12}\mathrm{,}\mathrm{13}\mathrm{,}\mathrm{14}\mathrm{,}\mathrm{15}\mathrm{\}}$.

$(k-8)12=84$

MULTIPLE CHOICE Solve $\frac{d+5}{10}=2$

A. 10        B. 15        C. 20        D. 25

Solve each equation.

$x=4\left(6\right)+3$

Solve each equation.

$14-82=w$

Solve each equation

$5+22a=2+10÷2$

Solve each equation.

$(2\cdot 5)+\frac{c{}^3}{3}=c^3÷(1^5+2)+10$

RECYCLING San Francisco has a recycling facility that accepts unused paint. Volunteers blend and mix the paint and give it away in 5-gallon buckets. Write and solve an equation to find the number of buckets of paint given away from the 30,000 gallons that are donated.