Algebra 2 6-2 Complete Lesson: Multiplying and Dividing Radical Expressions

4 (1 rating)

by Matthew Richardson

| 27 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

1

2

1

10 pts

Solve It! You can cut the 36-square into four 9-squares or nine 4-squares. Which other n-square can you cut into sets of smaller squares in two ways?

An 18-square

A 49-square

A 64-square

2

10 pts

Solve It! Is there a square you can cut into smaller squares in three ways? Explain.

Yes, any n-square where n is the product of three perfect squares can be cut into smaller squares in three ways.

No, this only works when n is a perfect square and only creates two ways in which to divied the n-square into squares.

3

10 pts

Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

Yes;

No; The indexes are different.

Yes;

4

10 pts

Problem 1 Got It? Can you simplify the expression? If so, simplify. If not, explain why not.

No; The indexes are different.

Yes;

Yes;

5

5

10 pts

Problem 2 Got It?

A

B

C

D

6

6

10 pts

Problem 3 Got It?

A

B

C

D

7

10 pts

Problem 4 Got It? What is the simplest form of the expression?

8

10 pts

Problem 5 Got It? What is the simplest form of the expression?

9

9

10 pts

Problem 5 Got It? Which answer choices in Problem 5 could have been eliminated immediately? Explain. Select all that apply.

A; There is a cube root in the numerator.

D; There is no y in the expression.

C; There is a cube root in the denominator.

B; There is a cube root in the denominator.

10

10

10 pts

A

B

C

D

11

11

10 pts

A

B

C

D

12

12

10 pts

A

B

C

D

13

13

10 pts

A

B

C

D

14

14

10 pts

A

B

C

D

15

15

10 pts

A

B

C

D

16

10 pts

Vocabulary: Write the simplest form of the expression.

18

18

10 pts

Error Analysis: Explain the error in this simiplification of radical expressions.

19

10 pts

Review Lesson 6-1: Simplify the radical expression. Use absolute value symbols when needed.

20

30 pts

Review Lesson 5-4: Divide using synthetic division. Show each step.

21

10 pts

Review Lesson 4-6: Complete each square.

- 16
- 25
- 4

- x² + 10x + __?__
- x² - 10x + __?__
- x² + 4x + __?__
- x² + 8x + __?__

22

10 pts

Review Lesson 4-8: Write the quotient as a complex number in the form a ± bi.

23

10 pts

Vocabulary Review: Categorize each statement as true or false.

- All mathematical expressions can be written as an equivalent expression with a denominator of 1.
- An real number can have a denominator equal to 0.
- The expression above a fraction bar is called the denominator.
- Multiplying both the numerator and denominator by the same nonzero number results in an equivalent fraction.

- True
- False

24

10 pts

Vocabulary Review: Consider the three rational expressions below.

Drag and drop the expressions on the left to identify them as a numerator or denominator.

- 5
- 6
- -5r²
- 16
- r² + s²
- c - 16

- Numerators
- Denominators

25

10 pts

Use Your Vocabulary: Which expression shows the expression below with like terms combined ?

26

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

27

10 pts

Reflection: Math Success

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