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

Last updated almost 3 years ago
28 questions
3

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

10

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?

3

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

10

Take Note: What is a least common multiple?

5

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

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

10

Problem 1 Got It?

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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: What is a least common denominator?

5

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

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

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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.
10

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.
10

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.

3

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

10

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

10

Problem 3 Got It?

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: Define complex fraction.

5

Take Note: Provide an example of a complex fraction.

5

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

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

10

Problem 4 Got It?

3

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

10

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?

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