Illustrative Math - Algebra 2 - Unit 2 - Lesson 22

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Last updated 2 months ago
12 Questions
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Kiran is solving \frac{2x-3}{x-1}=\frac{2}{x(x-1)} for x, and he uses these steps:

He checks his answer and finds that it isn't a solution to the original equation, so he writes “no solutions.” Unfortunately, Kiran made a mistake while solving. Find his error and calculate the actual solution(s).

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Is this the graph of g(x)=-x^{4}(x+3) or f(x)=x^{4}(x+3)? Explain how you know.

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Rewrite the rational function g(x)=\frac{x-9}{x} in the form g(x)=c+\frac{r}{x}, where c and r are constants.

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Elena has a boat that would go 9 miles per hour in still water. She travels downstream for a certain distance and then back upstream to where she started. Elena notices that it takes her 4 hours to travel upstream and 2 hours to travel downstream.

The river’s speed is r miles per hour. Write an expression that will help her solve for r.

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This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 22. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/22/index.html ; accessed 27/July/2021.

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