Solving Quadratic Equations

Factoring

100

Solve the following quadratic equation by factoring. 

x² - 6x + 5 = 0

{1, 5}

200

Solve the following quadratic equation by factoring.

 3n² - 25n + 28=0

{4/3, 7}

300

Solve the following quadratic equation by factoring. 

28b² - 348 =-5

{-7/2, 7/2}

400

Solve the following quadratic equation by factoring. 

9x² + 10x - 30= 7x

{5/3, -2}

500

Solve the following quadratic equation by factoring: 

-2m² - 60m +72 = -8m² - 3m

{3/2, 8}

Completing the Square

100

Solve the following quadratic equation by completing the square:
0 = x² + 6x +8

{-4, -2}

200

Solve the following quadratic equation by completing the square:
x² - 6x = -5

 {1, 5}

300

Solve the following quadratic equation by completing the square:
x² - 2x - 24 = 0

{-4, 6}

400

Solve the following quadratic equation by completing the square.  
Round your answers to the nearest hundredth:
x² + 10x +5 = 0

{-0.53, -9.47}

500

Solve the following quadratic equation by completing the square (nearest tenth):
x² - 8x + 13 = 0

x = 5.7, x = 2.3

Quadratic Formula

100

When would you use the quadratic formula?

decimals, large numbers, or anytime you want some math fun.  

200

Solve the following quadratic equation by using the quadratic formula:
x² + 6x + 5 = 0

x = -1, x = -5

300

Solve the following quadratic equation by using the quadratic formula.  Round your answer to the nearest hundredth:
x² - 9x + 6 = 0

{0.72, 8.27}

400

Solve the following quadratic equation by using the quadratic formula:
2x² + 9x + 4 = 0

{-1/2, -4}

500

Solve the following quadratic equation by using the quadratic formula (nearest tenth):
4x² - 17x =-12 

{0.9, 3.4} 

Random Math Questions

100

What are three ways you can solve for the x-intercepts?

Completing the Square

Factoring using the Zero Product Property

Quadratic Formula

Square root Method

200

What is the discriminant?

b²-4ac

300

What must be add to the expression x²+bx to complete the square?
This is what we normally do but with variables!!

(b/2)²

400

What is the standard form of a quadratic equation?

ax² + bx + c = 0

500

solve using the quadratic formula:
k² − 31 − 2k = −6 − 3k² − 2k

x= 5/2, -5/2

Solving Square Root

100

Solve the equation. (x-2)²=16

-2 and 6

200

Solve the equation. (x-3/2)²=13

3/2±√13

300

solve by using the square root :
4x²+15=-9

x = 1/2 square root 6 and -1/2 square root 6

400

Solve the equation. 4(x-1)²=12

1±√3

500

Solve the equation. 2(x+4)²=12

-4±√6

Graphing Quadratics

100

What is the vertex of this equation?
y = x²-4x+13

V - (2,9)

200

What is the axis of symmetry of this equation y=x²-10x+11

x = 5

300

Write each function in vertex form
y=x²-12x-6

y =(x-6)²-42
vertex - (6,42)

400

Write each function in vertex form
y = 2x²-8x-4

y =2(x-2)²-12 

vertex - (2, -12)

500

Finish the sentence, 

It's time for ______ _______.

Dodger Baseball