Algebra 1 8-7 Guided Practice: Factoring Special Cases

Last updated over 3 years ago
16 questions
10

Solve It! The diagram shows two adjacent squares and their areas. In terms of x, how much taller is the left square than the right?

8
Take Note: Factoring Perfect-Square Trinomials

x^{2}+8x+16=(x+4)(x+4)=(__________)^{2}

4n^{2}-12n+9=(__________)(__________)=(2n-3)^2

x^{2}+10x+25=(__________)^2
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Problem 1 Got It?

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Problem 1 Got It?

10

Problem 2 Got It?

10

Take Note: Vocabulary: Which of the following binomials are differences of squares? Select all that apply.

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Take Note: Vocabulary: Write a simplified binomial that is a difference of squares.

8
Take Note: Factoring a Difference of Two Squares

x^{2}-25=(x__________5)(x__________5)

4x^{2}-100=(__________)(__________)
10

Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It? What is the factored form of the binomial?
Enter only a simplified expression with two binomials.

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Problem 4 Got It? Reasoning: The expression below contains two perfect squares.
Can you use the method in Problem 4 to factor it? Explain your reasoning.

6

Take Note: GCF Review

Match each expression with its greatest common factor (GCF).

Draggable itemCorresponding Item
24x^{2}-6
6
6x^{2}-9x
3x
4x^{2}+2
2
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Problem 5 Got It?

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Problem 5 Got It?

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