Solving Quadratic Equations

Vocabulary

100

The turning point of the parabola

Vertex

+5

200

Term is used for the highest point on the parabola  

Maximum 

+3

300

The u-shape graph 

Parabola 

-6

400

Standard form of a quadratic equation 

f(x)=ax²+bx+c

- 4

500

Term is used for the lowest point of the parabola 

Minimum

+ 10

Vocabulary 2.0

100

The line that divides the parabola into two equal parts.

Axis of symmetry

-8

200

What formula is used to solve quadratic equations? 

Quadratic formula 

+7

300

What does ROXS stand for? 

Roots

O zeros 

X-intercepts

Solutions

-6

400

First term is used for all x-values of a function and second term is used for all y-values of a function. 

Domain and Range 

+9

500

How do you know that an equation is quadratic?

x² 

-2

Factoring

100

x² + 9x + 18

(x + 3) (x + 6)

+8

200

x² + 10x - 200

(x - 10) (x + 20)

-3

300

m² - 3m - 108

( m + 9) (m - 12)

-4

400

Factor the following: 

4x² -20x +25

(2x - 5)²

+10

500

Factor the following: 

2x² - 13x + 15

(2x - 3) (x - 5)

+5

FOIL/Factoring

100

FOIL

(x+12) (x+3) 

x² + 15x + 36

+3

200

FOIL

(x-7)(x-3)

x² - 10x + 21

+8

300

FOIL

(x-6)(x+4)

x² -2x + 24 

-6

400

FACTOR

x² +10x = -9

(x+1) (x+9)

-4

500

FACTOR

-11x -60 = -x²

(x-15)(x+4)

+2

Quadratics

100

Write the following equation in standard form: 

3x²  + 16 = 2x

3x² - 2x + 16

+5

200

Factor the following 

4x^{2 _} 25 

(2x + 5) (2x - 5)

+6

300

What are the solutions to 

 w² - 21w + 104 = 0

8 and 13 

-10

400

What are the solutions to 

t² - 26t + 160 = 0 

16 and 10

-5

500

What are the solutions to 

2x² - 5x - 3 = 0

3 and -0.5

+2