Algebra 1 8-4 Guided Practice: Multiplying Special Cases

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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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Take Note: The Square of a Binomial

The square of a binomial is the __________ of the first term plus twice the __________ of the two terms plus the square of the __________ term.

(x + 3)^2 = __________ + __________ + __________

(x - 4)^2 = __________ - __________ + __________

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Problem 1 Got It?

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Problem 1 Got It?

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Take Note: To apply the mental math strategy from Problem 3 to 21^2, what equivalent binomial expression can be used?

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

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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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Take Note: The Product of a Sum and Difference

The product of the sum and the difference of the same two terms is the __________ of their __________.

(x+3)(x-3)=x^2  __________ 4

(x+4)(x-4) = __________ - __________

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Problem 4 Got It?

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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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Algebra 1 8-4 Guided Practice: Multiplying Special Cases

Problem 1 Got It?

Problem 1 Got It?

Take Note: To apply the mental math strategy from Problem 3 to 21^2, what equivalent binomial expression can be used?

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

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

Problem 4 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

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

Problem 1 Got It?

Problem 1 Got It?

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

Take Note: To apply the mental math strategy from Problem 3 to 21^2, what equivalent binomial expression can be used?

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

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

Problem 4 Got It?

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It?

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

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