Algebra 2 8-5 Guided Practice: Adding and Subtracting Rational Expressions

Posljednje ažuriranje over 3 years ago

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Algebra 2 8-5 Guided Practice: Adding and Subtracting Rational Expressions

Posljednje ažuriranje over 3 years ago

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.

Solve It! At 3 P.M., four runners all leave the starting line, running laps around the indoor track.
If the runners maintain their pace, at what time with Sue, Drew, and Stu finish a lap together?

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: What is a least common multiple?

Take Note: Write two whole numbers with a least common multiple of 21.

Take Note: Write two variable expressions with a least common multiple of 6x^{2}y.

Problem 1 Got It?

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Problem 1 Got It?

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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: What is a least common denominator?

Take Note: Write two fractions with a least common denominator of 15.

Take Note: Write two rational expressions with a least common denominator of x^{2}-3x+2.

Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.

x ≠ -1
x ≠ 0
x ≠ 1
x ≠ 2

What is the sum of the two rational expressions in simplest form?
Identify any restriction(s) on the variable.

A.APR.7

Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.

x ≠ -2
x ≠ -1
x ≠ 1
x ≠ 2

What is the sum of the two rational expressions in simplest form?
Identify any restriction(s) on the variable.

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Problem 2 Got It? Reasoning: Is it possible to add the rational expressions in Problem 2 by finding a common denominator, but not the least common denominator? Explain.

No, only the least common denominator can be used when adding or subtracting rational expressions.

Yes, however the denominator could have to be factored more and there would be additional, incorrect limitations on x.

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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 of subtracting rational expressions that is demonstrated in Problem 3.

Problem 3 Got It?

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Problem 3 Got It?

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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: Define complex fraction.

Take Note: Provide an example of a complex fraction.

Take Note: Provide an example of a rational expression that is NOT a complex fraction.

Take Note: Which method, Method 1 or Method 2, do you prefer for simplifying the complex fraction in Problem 4? Explain.

Problem 4 Got It?

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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.

Problem 5 Got It? Suppose Option 3 is to buy a new hybrid that will get double the mileage of the present hybrid. The SUV mileage stays the same. Which of the three options will give the best combined mpg?

Option 1

Option 2

Option 3

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Algebra 2 8-5 Guided Practice: Adding and Subtracting Rational Expressions

Algebra 2 8-5 Guided Practice: Adding and Subtracting Rational Expressions

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

Solve It! At 3 P.M., four runners all leave the starting line, running laps around the indoor track.If the runners maintain their pace, at what time with Sue, Drew, and Stu finish a lap together?

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

Take Note: What is a least common multiple?

Take Note: Write two whole numbers with a least common multiple of 21.

Take Note: Write two variable expressions with a least common multiple of 6x^{2}y.

Problem 1 Got It?

Problem 1 Got It?

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

Take Note: What is a least common denominator?

Take Note: Write two fractions with a least common denominator of 15.

Take Note: Write two rational expressions with a least common denominator of x^{2}-3x+2.

Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.

Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.

Problem 2 Got It? Reasoning: Is it possible to add the rational expressions in Problem 2 by finding a common denominator, but not the least common denominator? Explain.

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

Take Note: Summarize the process of subtracting rational expressions that is demonstrated in Problem 3.

Problem 3 Got It?

Problem 3 Got It?

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

Take Note: Define complex fraction.

Take Note: Provide an example of a complex fraction.

Take Note: Provide an example of a rational expression that is NOT a complex fraction.

Take Note: Which method, Method 1 or Method 2, do you prefer for simplifying the complex fraction in Problem 4? Explain.

Problem 4 Got It?

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

Problem 5 Got It? Suppose Option 3 is to buy a new hybrid that will get double the mileage of the present hybrid. The SUV mileage stays the same. Which of the three options will give the best combined mpg?

🧠 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! At 3 P.M., four runners all leave the starting line, running laps around the indoor track.If the runners maintain their pace, at what time with Sue, Drew, and Stu finish a lap together?

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

Take Note: What is a least common multiple?

Take Note: Write two whole numbers with a least common multiple of 21.

Take Note: Write two variable expressions with a least common multiple of 6x^{2}y.

Problem 1 Got It?

Problem 1 Got It?

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

Take Note: What is a least common denominator?

Take Note: Write two fractions with a least common denominator of 15.

Take Note: Write two rational expressions with a least common denominator of x^{2}-3x+2.

Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.

Problem 2 Got It? Consider the expression below and use it to match responses from the left to the items on the right.

Problem 2 Got It? Reasoning: Is it possible to add the rational expressions in Problem 2 by finding a common denominator, but not the least common denominator? Explain.

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

Take Note: Summarize the process of subtracting rational expressions that is demonstrated in Problem 3.

Problem 3 Got It?

Problem 3 Got It?

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

Take Note: Define complex fraction.

Take Note: Provide an example of a complex fraction.

Take Note: Provide an example of a rational expression that is NOT a complex fraction.

Take Note: Which method, Method 1 or Method 2, do you prefer for simplifying the complex fraction in Problem 4? Explain.

Problem 4 Got It?

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

Problem 5 Got It? Suppose Option 3 is to buy a new hybrid that will get double the mileage of the present hybrid. The SUV mileage stays the same. Which of the three options will give the best combined mpg?

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

Solve It! At 3 P.M., four runners all leave the starting line, running laps around the indoor track.
If the runners maintain their pace, at what time with Sue, Drew, and Stu finish a lap together?

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

Solve It! At 3 P.M., four runners all leave the starting line, running laps around the indoor track.
If the runners maintain their pace, at what time with Sue, Drew, and Stu finish a lap together?

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