Module 7 Review

7-5Simplifying Radicals

1

Simplify the following radical: √ 54.

3√ 6

2

Simplify the following radical: √ 18.

3√ 2

3

Simplify the following radical: 2√ 24.

4√ 6

4

Simplify the following radical: 3√ 63.

9√ 7

5

Simplify the following radical: 4∛ 27x³.

12x

7-6Operations with Radicals

1

*** Trivia ***

What was the first ever full length disney movie?

Snow white and the seven dwarves

2

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

13√3

3

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

√5

4

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

2√10

5

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

10 + 3√2

7-1 to 7-3Exponent Properties

1

Find (3x²y⁻⁵)³

27x⁶y^-15

2

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

t³u⁹/8

3

*** 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.

4

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

8x²y³

5

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

1

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

³√12m

2

Evaluate (16/4096)^1/4

1/4

3

True or false: 27^4/3=81

true

4

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

5

Write the expression in radical form.

15^1/2

√15

Real World Problems

1

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

2

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

36√3

3

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

Mrs. Potts

4

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

5

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