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Algebra 1 8-3 Guided Practice: Multiplying Binomials

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Last updated over 4 years ago
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Solve It! A park has rectangular dog run with length 30 ft and width 20 ft. The parks department wants to expand each end of each side of the dog run by the same amount x. What will be the total area of the expanded dog run?

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Take Note: Algebra tile area models of polynomial multiplication.

Match each polynomial equation with the equivalent algebra tile model.

Remember:length \times width = area

Draggable itemarrow_right_altCorresponding Item

(2x+1)(x+3)=2x^{2}+7x+3

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(x+3)(x+2)=x^{2}+5x+6

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(3x+1)(2x)=6x^{2}+2x

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(x+4)(2x+2)=2x^{2}+10x+8

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Problem 1 Got It?

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Take Note: Complete the table to represent the product.

(3x+1)(x+4)

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Problem 2 Got It?

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Take Note: Place the steps used in the FOIL method in the correct order.

  1. inner

  2. last

  3. first

  4. outer

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Take Note: Summarize the process of using the FOIL method to multiply binomials. You may illustrate your explanation on the canvas, but be sure to describe it in the response field as well.

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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Problem 5 Got It? What is a simpler form of the expression?

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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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