This task is to help you review for the test. On the test, you should not expect to see any of the text or videos that remind you how to complete a problem. Some questions have been added to help you remember how to do certain parts; they are labeled supporting questions.
You should have paper and pencil handy; it would be helpful for you to write down anything that you didn't remember on your own so you can use it for notes on the test.
A5-1 Multiplying Binomials
Vocabulary reminder:
Factored form is when we are multiplying factors; in this case, binomial factors. Factored form looks like this:
Standard form is what results when we multiply the binomials (either with FOIL method or area model or knowing the pattern), and combine like terms to simplify. It looks like this:
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Question 1
1.
Given the factored form
Multiply to find the standard form.
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Question 2
2.
Given the factored form
Multiply to find the standard form.
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Question 3
3.
Given the factored form
Multiply to find the standard form.
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Question 4
4.
Given the factored form
Multiply to find the standard form.
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Question 5
5.
Given a factored form
What is true about the standard form?
This is a supporting question (intended to help you learn) and you will not see questions like this on the test.
If you had any trouble with #1-5, watch the video below and/or return to the work for A5-1 (November 30/December 1)
A5-2 Factoring quadratics when a=1 and all numbers are positive
In order to figure out which pair of numbers will add to the middle term, you need to know the factors of numbers, or have a system to find all the factors. The video below shows you how to factor numbers in pairs, so you can easily find the pair that adds up to your middle number. (skip if you already know)
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Question 6
6.
What two numbers multipy to 26 and add to 15?
This is a supporting question and you will not see questions like this on the test.
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Question 7
7.
Given the standard form
Find the factored form
If you're still feeling lost, watch the example below.
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Question 8
8.
Given the standard form
Find the factored form
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1
Question 9
9.
Given the standard form
Find the factored form
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1
Question 10
10.
Given the standard form
Find the factored form
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1
Question 11
11.
Given the standard form
Find the factored form
A5-3 Factoring quadratics when a=1 and some numbers are negative
#12-15 are supporting questions (intended to help you learn) and you will not see questions like this on the test.
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Question 12
12.
If two numbers multiply to give you a positive number, and add to give you a positive number, then we know...
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Question 13
13.
If two numbers multiply to give you a negative number, and add to give you a positive number, then we know...
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Question 14
14.
If two numbers multiply to give you a negative number, and add to give you a negative number, then we know...
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Question 15
15.
If two numbers multiply to give you a positive number, and add to give you a negative number, then we know...
To see and hear an explanation of how positives and negatives interact, watch the video below.
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Question 16
16.
What two numbers multiply to -20 and add to -8
This is a supporting question (intended to help you learn) and you will not see questions like this on the test.
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Question 17
17.
What two numbers multiply to 18 and add to -19?
Type your answer as:
___ and ___
This is a supporting question (intented to help you learn) and you will not see questions like this on the test.
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1
Question 18
18.
Given the standard form
Find the factored form
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Question 19
19.
What two numbers multiply to -100 and add to 48?
Type your answer as:
___ and ___
This is a supporting question (intented to help you learn) and you will not see questions like this on the test.
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1
Question 20
20.
Given the standard form
Find the factored form
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1
Question 21
21.
Given the standard form
Find the factored form
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1
Question 22
22.
Given the standard form
Find the factored form
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1
Question 23
23.
Given the standard form
Find the factored form
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1
Question 24
24.
Given the standard form
Find the factored form
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1
Question 25
25.
Given the standard form
Find the factored form
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1
Question 26
26.
Write on paper and insert picture, write on board, or type your answer to the question on the "Show your work" board.