Illustrative Math - Algebra 2 - Unit 2 - Lesson 25

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9 Questions
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The formula for the sum s of the first n terms in a geometric sequence is given by s=a(\frac{1-r^{n}}{1-r}), where a is the initial value and r is the common ratio.

A drug is prescribed for a patient to take 120 mg every 12 hours for 8 days. After 12 hours, 6% of this drug is still in the body. How much of the drug is in the body after the last dose?
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Select all polynomials that have (x+1) as a factor.
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A car begins its drive in heavy traffic and then continues on the highway without traffic. The average cost (in dollars) of the gas this car uses per mile for driving x miles is c(x)=\frac{0.65+0.15x}{x}.
As x gets larger and larger, what does the end behavior of the function tell you about the situation?
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Write a rational equation that cannot have a solution at x=2.
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For x-values of 0 and -1, (x+1)^{3}=x^{3}+1. Does this mean the equation is an identity? Explain your reasoning.
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This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 25. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/25/index.html ; accessed 27/July/2021.

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