Illustrative Math - Algebra 2 - Unit 2 - Lesson 25

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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A.SSE.2

A.SSE.4

Select all polynomials that have (x+1) as a factor.

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• {"blocks":[{"key":"0","text":"g(x)=x^{3}-7x+6","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":15,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}
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• {"blocks":[{"key":"ar4gt","text":"l(x)=x^{2}-1","type":"unstyled","depth":0,"inlineStyleRanges":[],"entityRanges":[{"offset":0,"length":12,"key":0}],"data":{}}],"entityMap":{"0":{"type":"MATH","mutability":"MUTABLE","data":{}}}}

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A.SSE.2

A.SSE.4

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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A.SSE.2

A.SSE.4

Write a rational equation that cannot have a solution at x=2.

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A.SSE.2

A.SSE.4

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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A.SSE.2

A.SSE.4