Quadratic Formula & Discriminant

Which is the correct quadratic formula?

• 
• 
• 
• 

Tags

CCSS.HSA-REI.B.4B

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

• True

• False

Tags

CCSS.HSA-REI.B.4B

Identify a, b and c for the given equation:  $2x^{2\ }-5x+3=0$  

• a: 2,  b: 5,  c: 3

• a: -2,  b: 5,  c: -3

• a: 2,  b: -5,  c: -3

• a: 2,  b: -5,  c: 3

Tags

CCSS.HSA.REI.B.4

Put the given equation in standard form. $-3x^{2\ }+7x=-2x-8$  

•  $-3x^2+5x-8=0$  

•  $-3x^{2\ }+9x+8=0$  

•  $-3x^{2\ }+9x-8=0$  

•  $-3x^2+7x-10=0$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

A student is solving a quadratic equation using the quadratic formula. They have correctly gotten to this point and need to simplify completely. What is the correct final answer?

•  $\frac{-1\pm3\sqrt{2}}{2}$  

•  $\frac{-1\pm\sqrt{6}}{2}$  

•  $\frac{-1\pm\sqrt{18}}{2}$  

•  $\frac{-1\pm\sqrt{36}}{2}$  

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve 2x² + 2x - 12 = 0.

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Tags

CCSS.HSA-REI.B.4B

Solve using the quadratic formula & simplify completely.

 $2x^{2\ }-4x+7=0$   

•  $\frac{2\pm2i\sqrt{10}}{2}$ 

•  $\frac{2\pm i\sqrt{10}}{2}$  

•  $\frac{4\pm\sqrt{40}}{4}$  

•  $\frac{2\pm2i\sqrt{40}}{4}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

The discriminant is

• ax² + bx + c

• b - 4ac

• b² - 4ac

• b² + 4ac

Tags

CCSS.HSA-REI.B.4B

What does the discriminant tell us?

• The maximum or minimum

• The y-intercept

• The number and type of solutions

• The axis of symmetry

Tags

CCSS.HSA-REI.B.4B

Which graph has a discriminant = 0?

• None of them
• Red
• Blue
• Green

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11