Expressions, Equations, and Functions

Use the Distributive Property to rewrite each expression. Then evaluate.

$\mathbf{4}\frac{\mathbf{2}}{\mathbf{7}}\left(21\right)$

Find the area of each figure.

Find the area of each figure.

Find the area of each figure.

Find the area of each figure. Round to the nearest tenth if necessary.

A triangle with a base of 12 millimeters and height of 11 millimeters

Find the area of each figure. Round to the nearest tenth if necessary.

A square with side length of 9 feet

Find the area of each figure. Round to the nearest tenth if necessary.

A rectangle with length 8 centimeters and width 2 centimeters.

Find the area of each figure. Round to the nearest tenth if necessary.

A triangle with a base of 6 feet and height of 3 feet 

Find the area of each figure. Round to the nearest tenth if necessary.

A quarter-circle with a diameter of 4 meters

Find the area of each figure. Round to the nearest tenth if necessary.

A semi-circle with a radius of 3 inches.

Find the area of each circle. Round to the nearest tenth.

Find the area of each circle. Round to the nearest tenth.

Find the area of each circle. Round to the nearest tenth.

Find the area of each circle. Round to the nearest tenth.

The radius is 4 centimeters.

Find the area of each circle. Round to the nearest tenth.

The diameter is 16 inches.

Find the area of each circle. Round to the nearest tenth.

The diameter is 25 feet.

RECREATION The Granville Parks and Recreation Department uses an empty city lot for a community vegetable garden. Each participant is allotted a space of 18 feet by 90 feet for a garden. What is the area of each plot?

CAMPING The square floor of a tent has an area of 49 square feet. What is the side length of the tent?

PUBLIC SAFETY The sound emitted from the siren of a tornado warning system can be heard for a 2.5 -mile radius. Find the area of the region that hears the siren. Round to the nearest tenth square mile.

HISTORY Stonehenge is an ancient monument in Wiltshire, England. The giant stones of Stonehenge are arranged in a circle 30 meters in diameter. Find the area of the circle. Round to the nearest tenth square meter.

Find the area of each figure. Round to the nearest tenth.

Find the area of each figure. Round to the nearest tenth.

Find the area of each figure. Round to the nearest tenth.

Explain that the Distributive property is a property of multiplication, addition, or both.

Give a real-life example in which the Distributive Property would be useful and write an expression that demonstrates the example.

A person burns 420 Calories per hour by surfing. The time he spent surfing in one week is as shown below:

Day	Mon	Tue	Wed	Thu	Fri	Sat	Sun
Time(h)	1	$\frac{1}{2}$	0	1	0	2	$2\frac{1}{2}$

Explain the distributive property can be used to calculate quickly and compare methods of finding the total Calories burned with and without using the distributive property.

Evaluate the following expression:

$\mathbf{12}\left(7+2\right)$

Evaluate the following expression:

$\left(13-9\right)\cdot 4$

Evaluate the following expression:

$3\left(6\right)+7\left(6\right)$

Evaluate the following expression:

$\left(1+19\right)\cdot 8$

Evaluate the following expression:

$16\left(5+7\right)$

Write a verbal expression for each algebraic expression.

$21-x^3$

Find the volume of each rectangular prism given the length, width, and height.

$l=5\mathrm{cm}, w=3 \mathrm{cm}, h=2 \mathrm{cm}$

Write a verbal expression for each algebraic expression.

$3m^5+9$

Find the volume of each rectangular prism given the length, width, and height.

$\ell =10\mathrm{m},w=10\mathrm{m},h=1\mathrm{m}$

Write an algebraic expression for the following verbal expression.

“Five more than s squared”.

Find the volume of each rectangular prism given the length, width, and height.

$l=6 \mathrm{yd}, w=2 \mathrm{yd}, h=4 \mathrm{yd}$

Write an algebraic expression for the following verbal expression.

“Four times y to the fourth power”.

Find the volume of each rectangular prism given the length, width, and height.

$\ell =2$ in. $w=5$ in. $h=12$ in.

Write an algebraic expression for each verbal expression.

5. CAR RENTAL the XYZ Car Rental Agency charges a flat rate of \( 29 per day plus \) 0.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles.

Find the volume of each rectangular prism given the length, width, and height.

$l=13 ft, w=9 ft, h=12 ft$

Evaluate the following expression:

$24÷3-2\cdot 3$

Find the volume of each rectangular prism given the length, width, and height.

$\ell =7.8\mathrm{mm},w=0.6\mathrm{mm},h=8\mathrm{mm}$

Evaluate the following expression:

$5+2^2$

Find the volume of each rectangular prism.

Evaluate the following expression:

$4\left(3+9\right)$

Find the volume of each rectangular prism.

Evaluate the following expression:

$36-2{\left(1+3\right)}^2$

GEOMETRY A cube measures 3 meters on a side. What is its volume?

Evaluate the following expression:

$\frac{40-2^3}{4+3{\left(2\right)}^2}$