Quadratic Formula Practice

What do we call solutions to the quadratic equation:  $ax^2+bx+c=0$  
There is more than one answer. 
Check ALL that apply!

• x-intercepts

• y-intercepts

• roots

• zeros

• vertex

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

The quadratic equation can be used to solve quadratic equations that cannot be factored.

• True
• False

Tags

CCSS.HSA-REI.B.4B

 $3x^2-4x=7$  
Which example below uses the quadratic formula  correctly? 
Don't forget that the right side must be zero first!

•  $\frac{-\left(4\right)\pm\sqrt{\left(-4\right)^2-4\left(3\right)\left(-7\right)}}{2\left(3\right)}$  

•  $\frac{-\left(-4\right)\pm\sqrt{\left(-4\right)^2-4\left(3\right)\left(-7\right)}}{2\left(3\right)}$  

•   $\frac{-\left(-4\right)\pm\sqrt{\left(-4\right)^2-4\left(3\right)\left(7\right)}}{2\left(3\right)}$  

Tags

CCSS.HSA-REI.B.4B

 $x=\frac{-\left(b\right)\sqrt{\left(a\right)^2-4ac}}{2b}$  

What is wrong with this formula? Check ALL that apply.

• Missing  $\pm$  after  $-\left(b\right)$  

• The square root should be  $\sqrt{\left(b\right)^2-4ac}$  

• The denominator should be  $2a$  

• There are no errors. It is correct.

Tags

CCSS.HSA-REI.B.4B

 $3m^2-30=-m$  

•  $6,\ -5$  

•  $1,-1$  

•  $3,-\frac{10}{3}$  

•  $-3,\ \frac{10}{3}$  

Tags

CCSS.HSA-REI.B.4B

 $-x^2+4=-12$  

•  $2,\ 0$  

•  $-2,\ 0$  

•  $2,\ 2$  

•  $-4,\ 4$  

Tags

CCSS.HSA-REI.B.4B

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

Tags

CCSS.HSA-REI.B.4B

Use quadratic formula to solve: $8x^2-4x-18=0$  

•  $\left\{\frac{1\pm\sqrt{37}}{4}\right\}$  

•  $\left\{8,4,18\right\}$  

•  $\left\{\frac{38}{4},-\frac{38}{4}\right\}$  

•  $i\sqrt{37}$  

Tags

CCSS.HSA-REI.B.4B

Use quadratic formula to solve: $x^2+4x+3=0$  

•  $\left\{1,3\right\}$  

•  $\left\{-1,-3\right\}$  

•  $\left\{4,-3\right\}$  

•  $i\sqrt{3}$  

Tags

CCSS.HSA-REI.B.4B

The path a baseball takes after it has been hit is modeled by the graph. What do the zeros represent in the quadratic function?

• The heights of the baseball

• The times the baseball is on the ground

• the maximum heights of the baseball

• the time it takes the baseball to reach its maximum height