Algebra 1 8-5 Complete Lesson: Factoring x² + bx + c

4.5 (1 rating)

by Matthew Richardson

| 28 QuestionsNote 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

1

10 pts

Solve It! The area of a rectangular solar panel is given by the trinomial below.

The height of the solar panel is given by the binomial below.

What is an expression for the length of the panel?

2

2

10 pts

Problem 1 Got It?

A

B

C

D

3

10 pts

Problem 2 Got It? What is the factored form of the expression?

4

10 pts

Problem 2 Got It? Reasoning: Can you factor the expression? Explain.

5

5

10 pts

Problem 3 Got It?

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B

C

D

6

6

10 pts

Problem 3 Got It?

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B

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D

7

7

10 pts

Problem 4 Got It?

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D

8

8

10 pts

Problem 5 Got It?

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B

C

D

9

9

10 pts

A

B

C

D

10

10

10 pts

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B

C

D

11

11

10 pts

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C

D

12

12

10 pts

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D

13

13

10 pts

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D

14

5 pts

Analysis: Tell whether the sum of the factors of the constant terms should be positive or negative when you factor the trinomail.

positive

negative

15

5 pts

Analysis: Tell whether the sum of the factors of the constant terms should be positive or negative when you factor the trinomail.

positive

negative

16

5 pts

Analysis: Tell whether the sum of the factors of the constant terms should be positive or negative when you factor the trinomail.

positive

negative

18

10 pts

Review Lesson 8-4: Simplify the product.

19

10 pts

Review Lesson 8-4: Simplify the product.

20

10 pts

Review Lesson 8-4: Simplify the product.

21

10 pts

Review Lesson 2-5: Solve each equation for x.

- x = b/a + d
- x = ad - b
- x = ad ÷ b

22

10 pts

Review Lesson 8-2: What is the GCF of the polynomial? Enter only a monomial.

23

10 pts

Review Lesson 8-2: What is the GCF of the polynomial? Enter only a monomial.

24

10 pts

Review Lesson 8-2: What is the GCF of the polynomial? Enter only a monomial.

25

10 pts

Vocabulary Review: Use the Distributive Property. Match equivalent expressions.

- y(y + 2)
- (2y - 1)(y + 2)
- y(y² + 3y - 6)
- -1(y + 2)

- y³ + 3y² - 6y
- -y - 2
- y² + 2y
- 2y(y + 2) - 1(y + 2)

26

10 pts

Use Your Vocabulary: Identify the trinomials.

- h³ - 2h + 4
- r² + 3rs - 24s²
- d³ - c²
- g² + g + 1
- a² - b²
- x³ + 7x²y + 5xy² + y³

- Trinomials

27

100 pts

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.

28

10 pts

Reflection: Math Success

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