Illustrative Math - Algebra 2 - Unit 2 - Lesson 21

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10 Questions

Solve x-1=\frac{x^{2}-4x+3}{x+2} for x.

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Solve \frac{4}{4-x} for x.

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Show that the equation \frac{1}{60}=\frac{2x+50}{x(x+50)} is equivalent to x^{2}-70x-3,000=0 for all values of x not equal to 0 or -50. 

Explain each step as you rewrite the original equation.

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Kiran jogs at a speed of 6 miles per hour when there are no hills. He plans to jog up a mountain road, which will cause his speed to decrease by r miles per hour. 

Which expression represents the time, t, in hours it will take him to jog 8 miles up the mountain road?

t=\frac{8-r}{6}

t=\frac{8}{6+r}

t=\frac{6+r}{8}

t=\frac{8}{6-r}

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The rational function g(x)=\frac{x+10}{x} can be rewritten in the form g(x)=c+\frac{r}{x}, where c and r are constants. Which expression is the result?

g(x)=1-\frac{1}{x+10}

g(x)=x+\frac{10}{x}

g(x)=x-\frac{10}{x+10}

g(x)=1+\frac{10}{x}

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10.

A softball player has had 8 base hits out of 25 at bats for a current batting average of \frac{8}{25}=.320 .

How many consecutive base hits does she need if she wants to raise her batting average to .400? Explain or show your reasoning.

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This lesson is from Illustrative Mathematics. Algebra 2, Unit 2, Lesson 21. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/2/21/index.html ; accessed 27/July/2021.

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