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Algebra 2 6-5 Complete Lesson: Solving Square Root and Other Radical Equations

Last updated almost 4 years ago
24 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.
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Solve It! You are a passenger in the car. You are using a cell phone that connects with the cell phone tower shown. The tower has an effective range of 6 mi. How many miles do you have to finish your call?


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Problem 1 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 4 Got It? Solve the radical equation. Check your results.

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Problem 5 Got It?

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Vocabulary: Which value, 12 or 3, is an extraneous solution of the equation?
Enter only a number.

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Compare and Contrast: How is solving a square root equation similar to solving an absolute value equation? How is it different?

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Review Lesson 6-4: Match each number on the left with its simplified form on the right.

  • 3
  • 2
  • 125
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Review Lesson 4-5: Consider the quadratic equation below.
1. Drag the factors of the quadratic expression from the left column into the top category on the right.
2. Drag the solution(s) of the quadratic equation from the left column into the bottom category on the right.

  • x
  • (3x + 2)
  • (3x + 1)
  • (x + 2)
  • Factors of the expression:
  • Solution(s) of the equation:
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Review Lesson 2-1: Categorize values from the left to identify the domain and range of the relation. Then drag either Yes or No to respond to the question.

  • 0
  • 1
  • 2
  • Yes
  • No
  • Domain:
  • Range:
  • Is the relation a function?
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Vocabulary Review: Which equation is equivalent to the equation below?

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Vocabulary Review: Match each solution from the left with the equation it solves on the right.

  • -10
  • 10
  • 2
  • -2
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Vocabulary Review: What is the radicand in the expression?

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Use Your Vocabulary: Categorize each statement as true or false.

  • The reciprocal of -1 is itself.
  • A decimal has no reciprocal.
  • The reciprocal of a negative number is negative.
  • The only real number without a reciprocal is 0.
  • True
  • False
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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.

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Reflection: Math Success