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

Last updated almost 3 years ago

26 questions

3

10

A.CED.4

3

7

3

10

A.CED.4

A.REI.2

10

A.REI.2

3

Library

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

Last updated almost 3 years ago

26 questions

3

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?

A.CED.4

3

10

Take Note: What is a radical equation?

10

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

10

7

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

10

Problem 1 Got It?

A.CED.4

A.REI.2

3

10

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

10

Problem 2 Got It?

A.CED.4

A.REI.2

3

10

Problem 3 Got It?

A.CED.4

A.REI.2

3

10

Take Note: What is an extraneous solution?

10

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

A.CED.4

A.REI.2

10

A.REI.2

3

10

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

10

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

10

Problem 5 Got It?

A.CED.4

A.REI.2

10

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

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

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?

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

10

Take Note: What is a radical equation?

10

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

10

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

10

Take Note: What is a square root equation?

10

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

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
Subtract 4 from each side
Multiply both sides by 2
Add 4 to each side
Raise both sides to the 5th power
Apply \sqrt[5]{} to both sides
Divide both sides by 2

Step 1
Step 2
Step 3

10

Problem 1 Got It?

A.CED.4

A.REI.2

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?

A.CED.4

A.REI.2

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

10

Problem 3 Got It?

A.CED.4

A.REI.2

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

10

Take Note: What is an extraneous solution?

10

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

10

Take Note: How can you identify extraneous solutions?

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

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?

10

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

10

Problem 5 Got It?

A.CED.4

A.REI.2

10

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

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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

Take Note: What is a square root equation?

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

Subtract 4 from each side

Multiply both sides by 2

Add 4 to each side

Raise both sides to the 5th power

Apply \sqrt[5]{} to both sides

Divide both sides by 2

Step 1

Step 2

Step 3

A

B

C

D

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Raise both sides to the \frac{3}{2} power.

Raise both sides to the \frac{2}{3}​
power.

Apply \sqrt[3]{} to both sides.

Apply \sqrt{} to both sides.

A

B

C

D

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

A

B

C

D

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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

No

Yes

Take Note: How can you identify extraneous solutions?

x = 10

x = 0, x = 1

x = 1, x = 10

x = 1

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

A

B

C

D

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

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

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?

Take Note: What is a radical equation?

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

Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.Identify the steps necessary to isolate the variable.

Problem 1 Got It?

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

Problem 2 Got It?

Problem 3 Got It?

Take Note: What is an extraneous solution?

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

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

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

Problem 5 Got It?

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

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

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?

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

Take Note: What is a radical equation?

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

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

Take Note: What is a square root equation?

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

Take Note: Consider the radical equation \sqrt[5]{2x}-4=0.Identify the steps necessary to isolate the variable.

Problem 1 Got It?

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

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

Problem 2 Got It?

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

Problem 3 Got It?

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

Take Note: What is an extraneous solution?

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

Take Note: How can you identify extraneous solutions?

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

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

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

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

Problem 5 Got It?

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

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

Take Note: What is a square root equation?

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

Take Note: How can you identify extraneous solutions?

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

Identify the steps necessary to isolate the variable.

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

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

Identify the steps necessary to isolate the variable.

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