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Algebra 1 8-4 Complete Lesson: Multiplying Special Cases

By Matt Richardson
Last updated over 2 years ago
32 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! You are making square invitations for a party. You start with a piece of paper with 6-in. sides. You reduce both its length and its width by x, as shown. What is the area of the invitation? Use the math panel to input your response in standard form. Do not add spaces when using the math input panel.

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2.

Problem 1 Got It?

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3.

Problem 1 Got It?

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4.

Problem 2 Got It? In Problem 2, suppose the brick walkway is 4 ft wide. What is the area?

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Problem 3 Got It? What is 85²? Use mental math. Enter only a number.

6.

Problem 3 Got It? Reasoning: Is there more than one way to find 85² using mental math? Explain your reasoning.

7.

Problem 4 Got It?

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Problem 4 Got It?

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Problem 4 Got It?

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10.

Problem 5 Got It?

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15.

What rule would you use to find the product?

16.

What rule would you use to find the product?

17.

What rule would you use to find the product?

19.

Review Lesson 8-3: Match each polynomial with its factored form.

  • (3x + 2)(2x - 5)
  • (x - 1)(6x - 7)
  • (x + 9)(5x + 8)
20.

Review Lesson 2-10: Label each situation with its percent change and as an increase or decrease. Some labels will not be used.

  • increase
  • decrease
  • percent change: 25
  • percent change: 12.5
  • percent change: 125
  • percent change: 75
  • percent change: 50
  • $4 to $3
  • 4 ft to 5 ft
  • 12 lb to 15 lb
  • $40 to $35
21.

Review Lesson 8-2: Identify the GCF of each polynomial.

  • GCF: 6x
  • GCF: 7x
  • GCF: 9
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22.

Review Lesson 8-2: Identify the factored form of each polynomial.

  • 7x(5x² + x + 9)
  • 6x(2x³ + 5x² + 7)
  • 9(8x³ + 6x² + 3)
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23.

Vocabulary Review: Identify the square numbers below.

  • 77
  • 36
  • 144
  • ¼
  • 1
  • 6
  • Square numbers
24.

Vocabulary Review: Complete each sentence with always, sometimes, or never.

  • always
  • sometimes
  • never
  • The square of a nonzero number is __?__ positive.
  • The square root of a number is __?__ negative.
25.

Use Your Vocabulary: Classify each expression as a binomial or not a binomial.

  • Binomial
  • Not a binomial

Use Your Vocabulary:

26.

Enter a word from the list.

27.

Enter only a word from the list.

28.

Enter only a word from the list.

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31.

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.

32.

Reflection: Math Success

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