Algebra I Semester 1 (Final Review)

If  $f\left(x\right)=2x+5$ , what is the value of  $f\left(8\right)$  

•  $f\left(8\right)=15$  

•  $f\left(8\right)=21$  

•  $f\left(8\right)=24$  

•  $f\left(8\right)=19$  

Which of the following represents a relation that IS a function

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• 
• 
• 

What is the value of  $f\left(2\right)$  when  $f\left(x\right)=x^2+2x+2$  

• 8

• 10

• 12

• 14

If the function  $f\left(x\right)=x^2-2$  has a domain of  $\left\{1,2,3,4,5\right\}$  what is the range?

•  $\left\{-1,2,8,17,21\right\}$  

•  $\left\{-1,5,15,22,54\right\}$  

•  $\left\{-1,15,22,36,56,88\right\}$  

•  $\left\{-1,2,7,14,23\right\}$  

Solve for x:  $x-3\left(4-x\right)=8$  

•  $x=5$  

•  $x=-1$  

•  $x=-5$  

•  $x=-2$  

Solve for x:  $3\left(x+5\right)=5\left(x+12\right)-13\left(x+1\right)-2$  

•  $x=5$  

•  $x=6$  

•  $x=7$  

•  $x=8$  

Consider the function represented by the recursive formula below:  $f\left(1\right)=5$  and  $f\left(n\right)=f\left(n-1\right)+7$ . Which of the following equations represent the explicit formula for the function  $f\left(n\right)$ ?

•  $f\left(n\right)=2\left(7\right)^n$  

•  $f\left(n\right)=7n-2$  

•  $f\left(n\right)=7n+5$  

•  $f\left(n\right)=5\left(7\right)^n$  

Consider the function written in explicit form:  $f\left(n\right)=4n+2$  with domain  $n\ge1$ . Select the equivalent recursively defined function.

•  $f\left(n\right)=f\left(n-1\right)+2,\ f\left(1\right)=6$  

•  $f\left(n\right)=2\cdot f\left(n-1\right),\ f\left(1\right)=6$  

•  $f\left(n\right)=4\cdot f\left(n-1\right),\ f\left(1\right)=6$  

•  $f\left(n\right)=f\left(n-1\right)+4,\ f\left(1\right)=6$  

Solve the system of equations by substitution:

• $\left(5,-1\right)$

• $\left(2,-1\right)$

• $\left(6,-1\right)$

• $\left(3,2\right)$

Solve the system of equations by elimination:

• $\left(-\frac{1}{3},\frac{4}{3}\right)$

• $\left(\frac{1}{9},\frac{4}{3}\right)$

• $\left(-\frac{1}{3},\frac{16}{3}\right)$

• $\left(-2,2\right)$