Solving Quadratics Method

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

7x² - 26x - 8 = 0

• x = -1 and x = -7/8

• x = 4 and x = -2/7

• x = -4 and x = 2/7

• x = 4 and x = -7/2

Tags

CCSS.HSA-REI.B.4B

(x + 1) ² = 25

• ± 5

• 4  or  -6

• -4  or  6

• ± 4

Tags

CCSS.8.EE.A.2

Suzie solves the equation below:
x² + 4x - 12 = 2
(x - 2)(x + 6) = 2, 
by setting x -2 = 0 and x + 6 = 0. 
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?

• Yes, she factored correctly and then used the zero product property

• Yes, she factored correctly and then square rooted.

• No, she did factor correctly, but she can't use the zero product property as shown.

• No, she didn't factor correctly so the rest of her work is wrong. 

Tags

CCSS.HSA-REI.B.4B

Select the solutions to the equation

4x² + 11x + 7 = 0

• x = - 1.75

• x = 6

• x = - 1

• x = 1

Match the following.

• Solve using the Zero-Product Property

• Using square roots

• By factoring

• By graphing

Tags

CCSS.HSA-REI.B.4B

What are the two methods of solving quadratic equations?​ (a)   ​ (b)  

• Factoring

• Quadratic Formula

• Plugging in numbers

• Guess and check

• Asking Ms. Casale

Tags

CCSS.HSA-REI.B.4B

Match the following methods to solve quadratic equations with the scenario it is best used in

• can be used in all cases

• QUADRATIC FORMULA

• to check solutions

• SQUARE ROOTS

• when the equation is factorable

• COMPLETING THE SQUARE

• when b is an even number if a=1

• GRAPHING

• when there is no "bx" term

• FACTORING

Tags

CCSS.HSA-REI.B.4B

The quadratic function y = -2x² + 4x + 6 is pictured. What are the solutions to the equation 7.5 = -2x² + 4x + 6?

• x = 0.5

• x = 1.5

• x = 1

• x = 8

• x = 6

To solve a quadratic you can ​ (a)   if the ​ (b)   is equal to a ​ (c)   . Otherwise you can complete the square if the ​ (d)   value is one and the b value is ​ (e)   . Most other quadratics should be solved using the quadratic formula.

• factor

• discriminant

• perfect square

• a

• even

• positive number

• b

• c

• odd

• vertex

Tags

CCSS.HSA-REI.B.4B