Math

Quadratic/completing the sqaure

100

What is the first step for solving an equation using the quadratic formula? 

Making sure the equation is in standard form, which means it should be equal to 0

200

x² + 11x - 42 = 0 ? 

X = 3 or x= -14

300

3x² + 8x - 91 = 0 ? 

X = -7 or x = 13/3

400

X² - 8x + 13 =0? 

X = 4 +/- radical 3 

500

X² -6x -15=0?

X= 3 +/- 2 radical 6

Polynomials

100

Subtract (a³ -2a²) - (3a² -4a³)

5a³ -5a²

200

Subtract  (3a² +1)−(4+2a²)

a²-3

300

Subtract (3x⁴ −3x)−(3x−3x⁴)

6x⁴-6x

400

Add (9r³ +5r² +11r)+(−2r³ +9r−8r²)

7r³ -3r² +20r

500

Add (13n²+11n−2n⁴)+(−13n² −3n−6n⁴)

-8n⁴ +8n

Radian/ degree

100

Convert 240⁰ to radians 

4 pi/ 3 

200

Convert 315⁰ to radians 

7 pi/ 4

300

Convert 19 pi/ 4 to degrees

855⁰ 

400

Convert pi/4 to degrees

45⁰

500

Convert -31pi/ 18 to degrees

-310⁰

Cramer’s Rule

100

-2x -5y +4z = 21

-5x -5y +z = 21

-4y -4z = 8

(-1, -3, 1)

200

5x +y -4z = -4

-3y - 6z= -21

-x -y -z = -6

(5, -5, 6) 

300

-4x -6z = -12

-6x - 4y -2z = 6

-x +2y +z = 9

(-3,1,4)

400

4x -4y +2z = -14

4x +2y = 14

-3y + z = -10

No solution 

500

X -3y + z = -7

-4x -6z = 4

2x +3y +2z = 4

( -1,2,0)