Unit 7 Quiz 2 Review Solving Quadratics

Find the discriminant. State the nature of the solutions.
 $f\left(x\right)\ =\ x^2-4x+4$  

• D= 0, One real solution

• D= -32, NO real solution

• D = 32, Two real solutions

• D = -32, One real solution

Tags

CCSS.HSA-REI.B.4B

Find the discriminant. State the nature of the solutions.
 $f\left(x\right)\ =\ 3x^2+6x+7$  

• D= 15, Two real solution

• D= -48, NO real solution

• D = 32, Two real solutions

• D = -48, One real solution

Tags

CCSS.HSA-REI.B.4B

Solve the equation by factoring.
 $10x^2-30x=0$  

• 10(x - 3) = 0,  x = 3

• 10x(x - 3) = 0, x = 0 and x = 3

• 10x(x - 3) = 0, x = -10 and x = 3

• 10x(x - 3) = 0, x = 0 and x = -3

Tags

CCSS.HSA-REI.B.4B

Solve the equation by factoring.
 $\ x^2-5x=-6$  

• (x - 2)(x - 3), x = -2 and x = -3

• (x + 2)(x +3), x = -2 and x = -3

• (x +1)(x - 6), x = -1 and x = 6

• (x - 2)(x - 3), x = 2 and x = 3

Tags

CCSS.HSA-REI.B.4B

Solve the equation directly. (Reverse PEMDAS!)
 $-5x^2+15=0$  

•  $\pm\sqrt{3}$  

•  $\sqrt{3}$  

•  $\pm\frac{\sqrt{15}}{5}$  

•  $\pm3$  

Tags

CCSS.8.EE.A.2

Solve the equation directly. (Reverse PEMDAS!)
 $48=3\left(x+5\right)^2$  

•  $\pm9$  

•  $\frac{15\pm4\sqrt{3}}{3}$  

• Answer option 3

   $\pm1$  

• x = -1 and x = -9

Tags

CCSS.HSA-REI.B.4B

When would the graph of a quadratic function have a negative discriminant?

• When there are no x-intercepts

• When there is one x-intercept

• When there are two x-intercepts

Tags

CCSS.HSA-REI.B.4B

When would the graph of a quadratic function have a positive discriminant?

• When there are no x-intercepts

• When there is one x-intercept

• When there are two x-intercepts

Tags

CCSS.HSA-REI.B.4B

What are the x-intercepts of the function?
 $f\left(x\right)=\ \left(x+3\right)\left(x-7\right)$  

• (3, 0) and (-7, 0)

• (-3, 0) and (-7, 0)

• (-3, 0) and (7, 0)

• (0, 0) and (7, 0)

Tags

CCSS.HSF-IF.C.7C

Describe the nature of the zeros of the function:
 $f\left(x\right)=x^2-6x-15$  

• Cannot be determined

• One real zero, the discriminant is zero

• No real zeros, the discriminant is negative

• Two real zeros, the discriminant is positive

Tags

CCSS.HSA-REI.B.4B