Algebra 2 6-5 Guided Practice: Solving Square Root and Other Radical Equations

Last updated over 2 years ago
26 questions
3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

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?


3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: What is a radical equation?

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Take Note: Provide an example of a simplified radical equation with an index of 3 that includes only one variable.

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Take Note: Summarize the process for solving a radical equation.

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Take Note: What is a square root equation?

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Take Note: Provide an example of a square root equation that includes only 1 variable.

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Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.

Identify the steps necessary to isolate the variable.

  • Raise both sides to the \frac{1}{5} power
  • Add 4 to each side
  • Multiply both sides by 2
  • Raise both sides to the 5th power
  • Subtract 4 from each side
  • Divide both sides by 2
  • Apply \sqrt[5]{} to both sides
  • Step 1
  • Step 2
  • Step 3
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Problem 1 Got It?

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: Which step isolates x in the radical equation below?

10

Problem 2 Got It?

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Problem 3 Got It?

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: What is an extraneous solution?

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Take Note: Are extraneous solutions values that work in the related (aka original) equation?

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Take Note: How can you identify extraneous solutions?

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

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Video Check: Select all that apply with regards to the video embedded directly above this item.

10

Take Note: How can graphs be used to identify extraneous solutions?

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Take Note: Summarize the process for solving an equation containing two radical expressions.

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Problem 5 Got It?

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🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?