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

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Last updated about 4 years ago
27 questions
Note from the author:
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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.
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Question 1
1.

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?

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Question 3
3.

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

Question 4
4.

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

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Question 5
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Problem 2 Got It?

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Question 6
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Problem 3 Got It?

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Question 7
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Problem 4 Got It? What is the simplest form of the expression?

Question 8
8.

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

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Question 9
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Problem 5 Got It? Which answer choices in Problem 5 could have been eliminated immediately? Explain. Select all that apply.

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Question 10
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Question 11
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Question 12
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Question 13
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Question 14
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Question 15
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Question 16
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Question 18
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Error Analysis: Explain the error in this simiplification of radical expressions.

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Question 19
19.

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

Question 20
20.

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

Question 21
21.

Review Lesson 4-6: Complete each square.

  • 16
  • 25
  • 4
  • x² + 10x + __?__
  • x² - 10x + __?__
Question 22
22.

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

Question 23
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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
Question 24
24.

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
Question 25
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Question 26
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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.

Question 27
27.

Reflection: Math Success

An 18-square
A 49-square
Question 2
2.

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

Yes;
Yes;
B
C
D
B
C
D
B; There is a cube root in the denominator.
C; There is a cube root in the denominator.
D; There is no y in the expression.
A; There is a cube root in the numerator.
D
D
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Vocabulary: Write the simplest form of the expression.
x² + 4x + __?__
x² + 8x + __?__
r² + s²
c - 16
Numerators
Denominators
Use Your Vocabulary: Which expression shows the expression below with like terms combined ?