Illustrative Math - Algebra 2 - Unit 2 - Lesson 23

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Last updated about 1 year ago

7 Questions

Select all the identities:​​​​

(x+1)^{4}=x^{4}+x^{3}+x^{2}+x+1

(x^{3}-1)(x^{3}+1)=x^{6}-1

(x+1)(x^{4}-x^{3}+x^{2}-x+1)=x^{5}+1

(x+2)^{3}=x^{3}+8

(x^{6}+x)=(x-1)(x^{5}+x^{4}+x^{3}+x^{2}+x)

(x^{2}-1)(x^{4}+x^{2}+1)=x^{6}-1

A.REI.2

Is 2(x+1)^{2}=(2x+2)^{2} an identity? 

Explain or show your reasoning.

A.REI.2

Mai is solving the rational equation 5=\frac{2+7x}{x} for x. 

What move do you think Mai would make first to solve for x? Explain your reasoning.

A.REI.2

For x-values of 0 and -2, (x^{5}+32)=(x+2)^{5}. Does this mean the equation is an identity? 

Explain your reasoning.

A.REI.2

Which values of x make \frac{3x+1}{x}=\frac{1}{x-3} true?

A.REI.2

This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 23. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/23/index.html ; accessed 27/July/2021.

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