Exam Review

When solving quadratics, I prefer....

• the graphing method

• using the quadratic formula by storing the values of a, b, c

• solving by factoring

What is the vertex of the quadratic function:
 $y=x^2-6x+11$  

Hint: graph it and then find the vertex

•  $\left(3,\ 2\right)$  

•  $\left(-3,\ -2\right)$  

•  $\left(-3,\ 2\right)$ 

•  $\left(3,\ -2\right)$ 

What is the domain of the function?

• D:{ x is greater than or equal to 3}
• D:{x is less than or equal to 3}
• D:{all real numbers}
• D:{ x is all real numbers between and including -1 and 5}

Find the range of the quadratic  $f\left(x\right)=x^2+5$  

Hint: graph it first.

•  $all\ real\ numbers$ 

•  $y\ge5$  

•  $y\le-5$  

•  $x\ge5$  

 $\frac{\left(x^2\right)^4}{x^{-5}}=x^n$  Simplify this expression. Write the value of "n"

Which of the following factors could be a factor of $5x^2-13x-6$  ?

•  $5x-2$  

•  $5x+2$  

•  $x+3$  

• none of the above

A quotient is the answer to a division problem.

• true

• false

A product is the answer to an addition problem.

• true

• false

 $\left(3r-5w\right)\left(2r+2w\right)$  What is the product of these binomial factors?

•  $6r^2-10w^2$  

•  $6r^2-16rw-10w^2$  

•  $6r^2-4rw-10w^2$  

•  $5r^2-4rw-3w^2$  

 $\left(x+2\right)^2=16$  

Find the solution(s) to the following quadratic.

If you need a hint to get started: move 16 over to the left side using the rules of algebra.