PC Extra Practice 3.2

Solve by factoring:

 $16x^2+8x\ =-1$  

• x = -1/4

• x = 1/16

• x = -1/8

• x = 0

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:

 $3x^2+10x-8=0$  

• x = -4/3, x = 2

• x = 4/3, x = 2

• x = 4, x = -2/3

• x = -4, x = 2/3

Tags

CCSS.HSA-REI.B.4B

Solve using the square root method:

 $\left(x-3\right)^2=36$  

• x = 6, x = -6

• x = 9, x = -3

• x = 3, x = -9

• x = 33, x = -33

Tags

CCSS.HSA-REI.B.4B

When completing the square on the following expression, we end up with what?

 $2x^2-4x+3=0$  

•  $2\left(x-2\right)^2-1=0$  

•  $2\left(x-1\right)^2+3=0$  

•  $2\left(x+1\right)^2+1=0$  

•  $2\left(x-1\right)^2+1=0$  

Tags

CCSS.HSA-REI.B.4B

When completing the square on the following expression, we end up with what?

 $3x^2+12x+11=0$  

•  $3\left(x+2\right)^2-1=0$  

•  $3\left(x+2\right)^2-1=0$  

•  $3\left(x+4\right)^2-35=0$  

•  $3\left(x+2\right)^2-1=0$  

Tags

CCSS.HSA-REI.B.4B

Identify the vertex for the following quadratic:

 $f\left(x\right)=\frac{1}{2}x^2-4$  

• (-4, 0)

• (0, -4)

• (1/2, -4)

• (-1/2, 0)

Identify the vertex for the following quadratic:

 $f\left(x\right)=x^2-8x+16$  

• (-4, 0)

• (4, 0)

• (8, 0)

• (8, 16)

Find the vertex form for the following quadratic:

 $f\left(x\right)=2x^2+8x+7$  

•  $f\left(x\right)\ =2\left(x-2\right)^2-1$  
  

•  $f\left(x\right)\ =\ 2\left(x+2\right)^2-1$  
  

•  $f\left(x\right)=2\left(x+2\right)^2-7$  
  

•  $f\left(x\right)=2\left(x-4\right)^2-25$  
  

Find the maximum or minimum of:

 $f\left(x\right)=x^2-x+\frac{5}{4}$  

• Maximum of 1

• Minimum of 1

• Maximum of 1/2

• Minimum of 1/2

Find the maximum or minimum of:

 $f\left(x\right)=-x^2+2x+5$ 

• Maximum of 1

• Minimum of 1

• Minimum of 6

• Maximum of 6