Algebra 2 LinkIt! Practice

The expression $$x(x−y)^5−y(x−y)^5$$ can be rewritten as $$(x−y)^a$$ .

What is the value of a ?

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a = 

(a)  

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The value ​ (a)   is an extraneous solution of the equation $$\sqrt[]{\left(x-1\right)}=x-7\ \sqrt[]{\left(x-1\right)}=x-7$$ because it ​ (b)   the equation $$x-1=\left(x-7\right)^2x-1=\left(x-7\right)^2$$ and ​ (c)   the original equation, $$\sqrt[]{\left(x-1\right)}=x-7\ \sqrt[]{\left(x-1\right)}=x-7$$ .

A teacher gave her class two functions,  $$fx=\left|x+4\right|$$ and $$gx=-x^2+6$$ , and asked for the solution(s) of the equation $$fx=gx$$ . The answers given by four students are shown below:

Linda: only 1
Paul: only 5
Ashley: 2 and 5
Mathew: -2 and 1

Who found the solution correctly and why?

The linear function f(x) generates the ordered pairs shown in the table.

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The function that models the data in the table is

f(x) =​ (a)   x +​ (b)   .

If the expression $$x^{\frac{3}{4}}\cdot\sqrt[4]{x^{25}}$$  is equivalent to $$x^m$$ , what must be the value of m?

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m = 

(a)  

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The table below shows the values of the function f(x) for different values of x.

What is the average rate of change in f(x) between x = 5 and x = 25? Please simplify your answer.

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(a)  

An expression for yearly 6% interest rate can be written as  $$a(1.06)^y$$ , where $$a$$ represents the initial amount deposited and $$y$$ represents the number of years. Which of the following expressions would be an accurate expression for an equivalent monthly interest rate?

Write the letter of the accurate expression in the blank.

(a)  

For a polynomial function f(x), $$f\left(-3\right)=0,\ f\left(-2\right)=-24,\ \ f\left(-1\right)=-12,\ f\left(0\right)=0,\ f\left(1\right)=0,\ f\left(2\right)=0,\ f\left(3\right)=36$$

Select all of the following which are factors of f(x).

The marketing director for an airline is considering charging a fee for carry-on bags. She created the graph below to model the predicted profit, p, that would be earned on a typical flight if the airline charged a fee of f dollars.

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According to the model, the airline′s predicted profit increases as the fee increases from ​ (a)   dollars to ​ (b)   dollars.