Algebra 2 6-2 Complete Lesson: Multiplying and Dividing Radical Expressions
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4 (1 rating)
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.
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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;

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10 pts
Problem 2 Got It?
A
B
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D
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10 pts
Problem 3 Got It?
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10 pts
Problem 4 Got It? What is the simplest form of the expression?

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

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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.
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10 pts
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10 pts
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10 pts
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10 pts
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10 pts
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10 pts
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10 pts
Vocabulary: Write the simplest form of the expression.









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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 + __?__
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10 pts
Review Lesson 4-8: Write the quotient as a complex number in the form a ± bi.

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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
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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.

For a refresher on the Cornell note-taking system, click here.
27
10 pts
Reflection: Math Success
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