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Algebra 1 8-2 Complete Lesson: Multiplying and Factoring

By Matt Richardson
Last updated over 2 years ago
37 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 set aside part of a rectangular plot of land for a garden and seed the rest of the plot with grass, as shown. Grass seed costs $.03 per square foot. Write an expression for the total cost of the seed.

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Solve It! Suppose you buy $50 worth of grass seed. How wide can the section of grass be? Round to the nearest foot and enter only a number.

3.

Problem 1 Got It?

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Problem 2 Got It?

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5.

Problem 3 Got It?

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Problem 3 Got It?

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7.

Problem 4 Got It? In Problem 4, suppose the side length of the square is 6x and the radius of the circle is 3x. What is the factored form of the shaded region?

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8.

What is a simpler form of the expression?

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12.

Find the GCF of the pair of monomials.

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13.

Find the GCF of the pair of monomials:

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14.

Find the GCF of the pair of monomials.

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15.

Reasoning: Write a binomial with 9x² as the GCF of its terms.

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16.

Review Lesson 8-1: Simplify the sum.

17.

Review Lesson 8-1: Simplify the difference.

18.

Review Lesson 6-5: Solve the inequality for y. Then graph the inequality. Include relevant graph detail.

19.

Review Lesson 1-7: Use the distributive property to match each expression with its simplified form.

  • 8(x - 5)
  • -3(x + 4)
  • 0.25(8x + 16)
  • 8x - 40
  • 4x + 4
  • -3x - 12
20.

Vocabulary Review: Classify each number based on whether or not it is a multiple of 10.

  • 250
  • 2
  • 50
  • 30
  • -110
  • 1001
  • 0
  • Multiple of 10
  • Not a multiple of 10
21.

Use Your Vocabulary: Which expression does not have x³ as a factor?

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22.

Use Your Vocabulary: Which factor tree in the image below shows a prime factorization?

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35.

Note: In the item set above, the third factor tree is not complete.

The monomial 2x can be factored. What are its prime factors? Select all that apply.

36.

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.

37.

Reflection: Math Success

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