Factoring and Solving Quadratic Equations

True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

Find the zeros of the equation: 
(x+10)(x-2) = 0

• 10 and 2

• -2 and 10

• -10 and 2

• -2 and -10

Tags

CCSS.HSA.APR.B.2

Solve the following quadratics equation by completing the square... x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square... x² - 6x + 2 = 0

• x = -3 ± √7

• x = 3 ± √7

• x = 7 ± √3

• x = -7 ± √3

Tags

CCSS.HSA-REI.B.4B

What do you do to the b value to correctly complete the square?

• square it

• divide it by 2 and square the result

• divide it by 2 and take the square root of the result

• divide it by 2 only

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Tags

CCSS.HSA-REI.B.4B

What are the zeros?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Tags

CCSS.HSA.APR.B.3

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined

Choose the best method to solve this quadratic:

​ (a)  

-3 = 4x² + 9x

• Quadratic Formula

• Square Roots

• ZPP

Tags

CCSS.HSA-REI.B.4B