Solving Quadratics and Quadratic Formula

What is this formula?

• This is the speed of light formula.
• This is the quadratic formula.
• This is the zero product property.
• This is scary.

Tags

CCSS.HSA-REI.B.4B

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

Solve by the Quadratic Formula:

 $9u^2-11u+7=0$  

•  $\frac{-11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{18}$  

•  $\frac{11\pm\sqrt{131}}{-18}$  

•  $\frac{11\pm i\sqrt{373}}{18}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve by the Quadratic Formula:

 $-12q^2+3q+7=0$  

•  $\frac{-3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm\sqrt{345}}{-24}$  

•  $\frac{3\pm\sqrt{345}}{24}$  

•  $\frac{3\pm i\sqrt{39}}{24}$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

If b²-4ac is positive, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

Tags

CCSS.HSA-REI.B.4B

If b²-4ac is 0, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• One real solution

• One imaginary solution

Tags

CCSS.HSA-REI.B.4B

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Tags

CCSS.HSA-REI.B.4B

Solve
2x² + 17x + 21 = 0

• x= ^-21/₂, -17
• x= ²/₃, 16
• x=-7, ^-3/₂
• x=15, -³/₇

Tags

CCSS.HSA-REI.B.4B

Solve
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Tags

CCSS.8.EE.A.2

Identify the 'a' value: y = 16x² -8x -24

• 16
• 8
• -8
• -24