Module 7 Review

7-5Simplifying Radicals

100

Simplify the following radical: √ 54.

3√ 6

200

Simplify the following radical: √ 18.

3√ 2

300

Simplify the following radical: 2√ 24.

4√ 6

400

Simplify the following radical: 3√ 63.

9√ 7

500

Simplify the following radical: 4∛ 27x³.

12x

7-6Operations with Radicals

100

*** Trivia ***

What was the first ever full length disney movie?

Snow white and the seven dwarves

200

Add the following radicals: 4√3 + 2√3 + 7√3.

13√3

300

Subtract the following radicals: 6√5 - √125.

√5

400

Multiply the following radicals: √5 x √8. Simplify if necessary.

2√10

500

Add/Subtract the following radicals: 7√18 + 2√25 - 3√72.

10 + 3√2

7-1 to 7-3Exponent Properties

100

Find (3x²y⁻⁵)³

27x⁶y^-15

200

Find the simplified form of (2t⁵u/4t⁴)³ .Assume that no denominator equals zero.

t³u⁹/8

300

*** Trivia ***

What year did DisneyWorld open?

a) 1955

b)1971

c)1989

d)2000

b)1971

This is the park in Florida. Disney Land opened in 1955.

400

The area of the rectangle is 48x³y⁵ square inches. Its width 6xy² inches. What is the length of the rectangle?

8x²y³

500

Select all the expressions that are equivalent to −12x³y⁸.

a)(2xy)(-6x²y⁵)(y²)

b)(-2xy)²(3xy)(y⁵)

c) -(2²x²y²)(3xy)(y⁵)

d) -(2xy)²(3xy⁶)

e) -(2xy)(3xy)²(2y⁵)

a, c, d

7-4Rational Exponents

100

What expression represents (12m)^1/3 in radical form?

³√12m

200

Evaluate (16/4096)^1/4

1/4

300

True or false: 27^4/3=81

true

400

What is the only disney movie where the lead character does not speak?

a) Sleeping Beauty

b) Bambi

c) Dumbo

d) Snow White and the Seven Dwarves

c) Dumbo

500

Write the expression in radical form.

15^1/2

√15

Real World Problems

100

Sasha walks directly from point A to point B to point C. 

A to B=√20

B to C= √45

A to C=5√5

200

The base of a triangle measures 6√2 meters and the height 3√6 meters.  What is the area?

36√3

300

What is the name of the teapot character in Beauty and the Beast?

Mrs. Potts

400

The length of a rectangle measures 8√12 centimeters and the width measures 4√8 centimeters. What is the area of a rectangle?

128√6

500

The ramp at a dog park is made of 3 sections. The incline and decline pieces have a combined length of 26√37 inches. The center is 10√41 inches long.  What is the total length of the ramp? Give your answer as a radical expression.

26√37 +10√41 inches