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Algebra 1 8-7 Complete Lesson: Factoring Special Cases

By Matt Richardson
Last updated over 2 years ago
26 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.
1.

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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5.

Vocabulary: Write a binomial that is a difference of squares.

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Problem 3 Got It?

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Problem 3 Got It?

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8.

Problem 4 Got It? What is the factored form of the binomial?

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Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

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Problem 5 Got It?

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Problem 5 Got It?

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16.

Reasoning: Identify the rule you would use to factor the expression.

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Reasoning: Identify the rule you would use to factor the expression.

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Reasoning: Identify the rule you would use to factor the expression.

20.

Review Lesson 8-6: Match the binomial factors with each trinomial to identify its factored form.

  • (6a + 7)
  • (4a + 3)
  • (3a - 2)
  • (2a + 3)
  • (4a - 7)
  • (3a - 5)
  • 18a² + 9a - 14
  • 8a² + 18a + 9
  • 12a² - 41a + 35
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Review Lesson 8-2: Find the GCF of the terms of the polynomial.
Enter only a monomial.

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Review Lesson 8-2: Find the GCF of the terms of the polynomial.
Enter only a monomial.

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23.

Vocabulary Review: Identify the operators for each expression on the right.

24.

Use Your Vocabulary: Match events in the left column with a corresponding special case of the event in the right column. Not all events will be used.

  • a sport
  • a meal
  • a field trip
  • a book
  • an animal
  • an assignment
  • baseball
  • a term paper
  • a biography
25.

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

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