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Algebra 1 8-4 Complete Lesson: Multiplying Special Cases

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Last updated about 4 years ago
32 questions
Note from the author:
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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.
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Question 1
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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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Question 5
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Problem 3 Got It? What is 85²? Use mental math. Enter only a number.

Question 6
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Problem 3 Got It? Reasoning: Is there more than one way to find 85² using mental math? Explain your reasoning.

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Question 15
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Question 23
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Question 24
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Question 25
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Use Your Vocabulary:

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Question 29
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Question 30
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Question 31
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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.

Question 32
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Reflection: Math Success

Question 2
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Question 3
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Question 4
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Question 13
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Question 14
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What rule would you use to find the product?
The Product of a Sum and Difference
The Square of a Binomial
What rule would you use to find the product?
The Product of a Sum and Difference
The Square of a Binomial
What rule would you use to find the product?
The Product of a Sum and Difference
The Square of a Binomial
Review Lesson 8-3: Match each polynomial with its factored form.
(3x + 2)(2x - 5)
(x - 1)(6x - 7)
(x + 9)(5x + 8)
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
Review Lesson 8-2: Identify the GCF of each polynomial.
GCF: 6x
GCF: 7x
GCF: 9
Review Lesson 8-2: Identify the factored form of each polynomial.
7x(5x² + x + 9)
6x(2x³ + 5x² + 7)
9(8x³ + 6x² + 3)
Vocabulary Review: Identify the square numbers below.
77
36
144
¼
1
6
Square numbers
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.
Use Your Vocabulary: Classify each expression as a binomial or not a binomial.
Binomial
Not a binomial
Question 26
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Enter a word from the list.

Question 27
27.

Enter only a word from the list.

Question 28
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Enter only a word from the list.

Problem 1 Got It?
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Problem 1 Got It?
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Problem 2 Got It? In Problem 2, suppose the brick walkway is 4 ft wide. What is the area?
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Problem 4 Got It?
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Problem 4 Got It?
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Problem 5 Got It?
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