Algebra 1 8-6 Complete Lesson: Factoring ax² + bx+ c

4 (1 rating)

by Matthew Richardson

| 23 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! An array of three rectangular solar panels has the area below:

The height of the array is x + 3. What is the length of the array?

2

10 pts

Problem 1 Got It? Drag two binomial factors to the trinomial to represent its factored form.

- (3x + 1)
- (3x + 5)
- (2x + 1)
- (3x + 2)

- 6x² + 13x + 5

3

10 pts

Problem 1 Got It? Reasoning: Consider the trinomial below.

Suppose ac is positive and b is negative. What do you know about the factors of ac?

One of the factors of ac is positive and the other is negative.

The factors of ac are both positive.

The factors of ac are both negative.

4

4

10 pts

Problem 2 Got It?

A

B

C

D

5

5

10 pts

Problem 3 Got It?

A

B

C

D

6

6

10 pts

Problem 4 Got It?

A

B

C

D

7

7

10 pts

A

B

C

D

8

8

10 pts

A

B

C

D

9

9

10 pts

A

B

C

D

10

10

10 pts

A

B

C

D

11

10 pts

Reasoning: Explain why you cannot factor the trinomial.

12

10 pts

Reasoning: To factor the trinomial 8x² + bx + 3, a student correctly rewrites the trinomial as 8x² + px + qx + 3.

What is the value of pq? Enter only a number.

14

10 pts

Review Lesson 8-5: Identify the factored form of each expression. Check your answer.

- (t + 4)(t + 11)
- (t - 5)(t - 12)
- (t - 4)(t + 7)

15

10 pts

Review Lesson 2-7: Match each proportion with its solution.

- 21
- 12.5
- 12

16

5 pts

Review Lesson 8-4: Simplify the product.

17

5 pts

Review Lesson 8-4: Simplify the product.

18

5 pts

Review Lesson 8-4: Simplify the product.

19

5 pts

Review Lesson 8-4: Simplify the product.

20

10 pts

Vocabulary Review: Complete each sentence with the correct form of the word factor.

- factoring
- factor
- factored

- The monomials 12x, 3x², and 6x³ have a common __?__ of 3x.
- When __?__ a trinomial, begin by looking for a factor common to all three terms.
- A student __?__ the expression 12x³ - 6x² into 6x²(2x - 1).

21

10 pts

Use Your Vocabulary: You can rewrite the expression below in order to factor it.

Which rewritten expression below is NOT equivalent to the original expression?

22

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.

23

10 pts

Reflection: Math Success

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