Algebra 1 8-6 Complete Lesson: Factoring ax² + bx+ c
By Matthew Richardson
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Last updated over 3 years ago
23 questions
Note 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.
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Question 1
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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?
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Question 2
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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
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Question 3
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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?
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Question 4
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Problem 2 Got It?
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Question 5
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Problem 3 Got It?
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Question 6
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Problem 4 Got It?
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Question 7
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Question 8
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Question 9
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Question 10
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Question 11
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Reasoning: Explain why you cannot factor the trinomial.
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Question 12
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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.
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Question 14
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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)
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Question 15
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Review Lesson 2-7: Match each proportion with its solution.
21
12.5
12
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Question 16
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Review Lesson 8-4: Simplify the product.
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Question 17
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Review Lesson 8-4: Simplify the product.
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Question 18
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Review Lesson 8-4: Simplify the product.
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Question 19
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Review Lesson 8-4: Simplify the product.
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Question 20
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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).
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Question 21
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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?
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Question 22
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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.
