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Algebra 1 8-4 Complete Lesson: Multiplying Special Cases

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Last updated almost 4 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.
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Question 1
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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Question 2
2.

Problem 1 Got It?

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Question 3
3.

Problem 1 Got It?

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Question 5
5.

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

Question 6
6.

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 7
7.

Problem 4 Got It?

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Question 8
8.

Problem 4 Got It?

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Question 9
9.

Problem 4 Got It?

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Question 10
10.

Problem 5 Got It?

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Question 11
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Question 12
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Question 13
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Question 14
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Question 15
15.

What rule would you use to find the product?

Question 16
16.

What rule would you use to find the product?

Question 17
17.

What rule would you use to find the product?

Question 19
19.

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

  • (3x + 2)(2x - 5)
  • (x - 1)(6x - 7)
  • (x + 9)(5x + 8)
Question 20
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
Question 21
21.

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

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

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

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

Vocabulary Review: Identify the square numbers below.

  • 77
  • 36
  • 144
  • ¼
  • 1
  • 6
  • Square numbers
Question 24
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.
Question 25
25.

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

  • Binomial
  • Not a binomial

Use Your Vocabulary:

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Question 26
26.

Enter a word from the list.

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Question 27
27.

Enter only a word from the list.

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Question 29
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Question 30
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Question 31
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.

Question 32
32.

Reflection: Math Success

Question 4
4.

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

Question 28
28.

Enter only a word from the list.