Jeopardy Unit 1-3

3.1. Solving System of Two Equations in Two Variables

100

x=25-3y

4x+5y=9

x=-14 

y=13

200

4y+19=x

3y-x=-13

x=-5

y=-6

300

-2x-3y=5

-5x+3y=-40

x=5

y=-5

400

5x+6y=-14

x-2y=10

x=2

y=-4

500

x+4y+z=3

2x+y+z=11

4x+y+2z=23

x=5

y=-1

z=-6

6.1. Finding Inverse Functions

100

f(x)=2x-10

f^-1(x)=x/2+5

200

g(x)=3x+6

g^-1(x)=1/3x-2

300

g(x)=-1/2x

g^-1(x)=-2x

400

g(x)=(x+5)/4

g^-1(x)=4x-5

500

j(x)=5(x-1)

j^1(x)=1/5x+1

7.2. Factoring Quadratic Expressions

100

x^2-7x+12

(x-4)(x-3)

200

x^2-49

(x+7)(x-7)

300

2x^2+5x

x(2x+5)

400

4x^2+17x-15

(4x-3)(x+5)

500

12x^2-43x+10

(4x-1)(3x-10)

8.1. The Imaginary Unity, i

100

√-4

2i

200

√-7

i√7

300

√-25

5i

400

6i

√-6

500

√-150

5i√6

9.1. Completing the Square and Taking Square Roots

100

4x^2 +15=0

x= +/- (i√15)/2

200

9x^2 -16=0

x=+/(-4√5)/3

300

4(x+5)^2-49=0

x=-5+/-7/2

400

-2(x+4)^2 +3 = 0

x=-4+/-√6/2

500

4x^2+16x-5=0

x=+/-√21/2-2