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Lesson 8 - Unit 7 - Algebra 1 - Illustrative Mathematics

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Last updated about 3 years ago
17 questions
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Question 1
1.

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Question 2
2.

Both (x-3)(x+3) and (3-x)(3+x) contain a sum and a difference and have only 3 and in each factor.

If each expression is rewritten in standard form, will the two expressions be the same? Explain or show your reasoning.

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Question 3
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Question 4
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Question 5
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Question 6
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Question 7
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Question 8
8.
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Question 9
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Question 10
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Question 11
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Question 12
12.

Create a diagram to show that (x-3)(x-7) is equivalent to x^{2}-10x+21.

Question 13
13.

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Question 14
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Question 15
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Question 16
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Question 17
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This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 8. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/8/index.html ; accessed 26/July/2021.

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Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.
(x-11)(x+11)
y^{2}-x^{2}
(y+x)(y-x)
121-x{2}
(x-y)(x-y)
x^{2}-121
(11+x)(11-x)
x^{2}-2xy+y^{2}
What are the solutions to the equation (x-a)(x+b)=0 ?
a and b
-a and -b
a and -b
-a and b
Select all the expressions that are equivalent to 8-x.
x-8
8+(-x)
-x-(-8)
-8+x
x-(-8)
x+(-8)
-x+8
Which statement is true about the two populations?
The second population will always be larger than the first.
Both populations are increasing.
The second bacteria population decreases more rapidly than the first.
When initially measured, the first population is larger than the second.