Algebra 2 6-2 Complete Lesson: Multiplying and Dividing Radical Expressions
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by Matthew Richardson
| 27 Questions
Note 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.
The outlined content above was added from outside of Formative.
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
• + 10x + __?__
• - 10x + __?__
• + 4x + __?__
• + 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
• -5
• 16
• +
• 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.