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Algebra 2 4-4 Guided Practice: Factoring Quadratic Expressions
By Matthew Richardson
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Last updated over 3 years ago
36 questions
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Question 1
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Question 2
2.
Question 3
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Question 14
14.
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Question 15
15.
Take Note:
Define
greatest common factor (GCF) of an expression
.
You may use the canvas to help illustrate your written definition.
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18
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Question 20
20.
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Question 21
21.
Take Note:
Summarize the process for factoring a quadratic trinomial of the form: ax^{2}+bx+c, \ \ a\ne1
when there is no common factor.
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Question 22
22.
Problem 3 Got It?
What is the factored form of the expression? Check your answers.
Question 23
23.
Problem 3 Got It?
What is the factored form of the expression? Check your answers.
Question 24
24.
Question 25
25.
26
29
27
28
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Question 26
26.
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30
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Question 31
31.
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33
34
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Question 32
32.
Take Note:
Define
difference of two squares
.
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5
35
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36
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Question 36
36.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Video Check:
Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Solve It!
In a game, you see the two cards shown.
You will get two other cards with numbers.
You win if:
1.
The product of your two numbers equals the number on one card shown
AND
2.
The sum of your two numbers equals the number on the other card shown.
What should your two cards be for you to win the game?
Drag and drop the card numbers on the left to form two winning hands on the right.
1
2
3
4
5
Winning hand (with sum 6)
Winning hand (with sum 5)
Video Check:
Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 4
4.
Take Note:
Define
factoring
.
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Question 5
5.
Identify the
first terms
in the pair of binomials.
Question 6
6.
Identify the
outer terms
in the pair of binomials.
Question 7
7.
Identify the
inner terms
in the pair of binomials.
Question 8
8.
Identify the
last terms
in the pair of binomials.
Question 9
9.
Question 10
10.
Take Note:
Summarize the process of using the
FOIL
method to multiply binomials.
You may illustrate your explanation on the canvas, but be sure to describe it in the response field as well.
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Question 11
11.
Question 12
12.
Question 13
13.
Video Check:
Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 16
16.
Take Note:
Provide an example of a simplified binomial that has a
GCF
of 7
x.
Question 17
17.
Question 18
18.
Question 19
19.
Video Check:
Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Problem 3 Got It?
Reasoning:
Can you factor the expression into a product of two binomials? Explain.
No; Factoring out the GCF 2 yields 2(
x
² +
x
+ 1), but there are no real factors of
ac
with a sum of
b.
Yes; All quadratic trinomials can be factored as the product of two binomials.
Video Check:
Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Take Note:
Define
perfect square trinomial
.
You may use the canvas to help illustrate your written definition.
Question 27
27.
Take Note:
What do you know about the first and third terms of all
perfect square trinomials
?
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Question 28
28.
Take Note:
What do you know about the middle term of all
perfect square trinomials
?
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Question 29
29.
Take Note:
Provide an example of a
perfect square trinomial
written in standard form.
Question 30
30.
Video Check:
Select all that apply with regards to the video embedded directly above this item.
🕵️ I carefully watched the entire video.
📵 I removed distractions from my field of view while watching the entire video.
🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.
✋ I sought clarification, as needed, to understand each concept in the video.
🎓 I understand each concept in the video and feel ready to move on.
🎯 I feel prepared to complete challenging problems related to the video.
❌ None of these statements apply.
Question 33
33.
Take Note:
Summarize the process for recognizing a
difference of two squares
.
You may use the canvas to help illustrate your written definition.
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Question 34
34.
Take Note:
Provide an example of a
difference of two squares
written in standard form.
Question 35
35.
Take Note:
Place the steps used in the
FOIL
method in the correct order.
first
last
outer
inner
Problem 1 Got It?
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Problem 1 Got It?
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Problem 1 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 2 Got It?
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Problem 4 Got It?
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Problem 5 Got It?
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