Simplify:


Review Radical Expressions

Simplify:

The formula for the kinetic energy of a moving object is E = 1/2 m v², where m = the mass of the object, and v = its velocity.

What is the velocity of an object of 1.6 mass if its energy = 64. (Assume all units of measure are metric and consistent.).
Simplify your answer.

If t = 144a² and a > 0, then the square root of t =

Check the correct solution below:
(Check all that apply,)
Note: the symbol √ means the square root of the number immediately following this symbol, or the square root of the expression that is enclosed by ( ) immediately following this symbol.

Solve for A:

A = 1/2 ( 3√4 ) ( 5√16 )

A = ________

The approximate velocity of an object dropped from a certain height on Earth can be found by the following formula:
v = √ (2gd), where g = acceleration due to gravity, and d is the distance of the height.
If g = 32 feet per second squared, and d = 100 feet, what is v?
Remember, v ( ) is the square root of the entire expression contained within the ( ).

v = _______ ft./sec.

Simplify:

√5 (6 + √20 )²


Review Factoring Trinomials

Check the correct solutions below.
(Check all that apply.)

Review Solving Radical Equations in Radical Expressions

What is the radius of a circle whose area equals 64π?
(π is the symbol pi)

r = ________

The speed of sound near the earth's surface can be found using this formula:

where t = the temperature at the surface.
Find the temperature in degrees Celsius if the speed of sound V = 360 meter per second.

t = ___________ ◦C

If one leg of a right triangle is 120 ft long, and the hypotenuse is 200 ft long, what is the length of the third leg?

l = __________ ft.

Review the Pythagorean Theorem in Radical Expressions


Review Factoring Trinomials

For a right triangle a, b, c where c is the hypotenuse, what is a if b = v32 and c = v176

Check which of the following side measures form a right triangle:
(Check all that apply.) Remember, the symbol √ means the square root of the term immediately following. So √49 means the square root of 49, which is 7.

If the area of a square is 242 square feet, what is the length of its diagonal?

d = __________ ft

Find the area of the following right triangle if the measures are in feet:



A = _____________ sq. ft.

What are the possible values of x for the following points if the distance between the points = the square root of 340?
(20, 5) , (x, 9)

Review the distance Formula.

What is the distance between the following two points whose coordinates are:
( 5, 5/7 ) , ( 8 , - 4/7 )
Use a calculator and enter you answer to the nearest hundredth

Find the perimeter of a square if two of the vertices are:
A (4, 9 ) and B ( - 4, 3)

P = _______

If the two triangles above are similar, what is the measure of side a if b = 5, c = 12.6, m = 8.1, and n = 2.5?

b = _______

If triangle A has two angles whose measures are 60^◦ and 78^◦ triangle B has two angles whose measures are 60^◦ and 41^◦, the two triangles are similar.

If one of the angles in each of the following right triangles measures 45 degrees, are the two triangles similar?

Use a calculator to find the measure of side BC. Enter your answer to the nearest tenth.

What is the tangent of angle BAC. Write your answer to the nearest hundredth.

Review Trigonometric Ratios

In a right triangle, what is the sine of an angle if the opposite side measure is 4 v22, and the hypotenuse is 35?
Give your answer to the nearest tenth.

Calculate the measure of the angle indicated by the ? Write your answer to the nearest degree.

________ degrees.

In a right triangle, an angle measures 41 degrees. The opposite side of this angle measures 23 in. What is the length of the hypotenuse of this triangle?
Write your answer to the nearest inch.

If AD = DB, what is AB?