Systems of equations and inequalities Review

Graphing

100

y = 2x + 2

y = x - 1

(-3, -4)

200

y = 2x + 4

y = 3x + 2

(2, 8)

300

x = 3

y = 2x + 1

(3, 7)

400

2x + y = 4

y = -2x + 4

No solution

500

y = 1/2 x + 2

y = 1/4 x + 4

(8, 6)

Substitution

100

y = 2

3x + 2y = 10

(2, 2)

200

x + 3y = 2

-x + 2y = 3

(-1, 1)

300

x - 2y = -10

3x - y = 0

(2, 6)

400

2x – 3y = –2

 4x + y = 24

(5, 4)

500

5x - y = -13

-5x +2y = 24

no solution

Elimination

100

x + 3y = 5

2x -3y = -8

(-1, 2)

200

-5y + 8x = -18

5y + 2x = 58

(4, 10)

300

3y - 5x = -26

-2y - 5x = -16

(4, -2)

400

2x−4y=8

6x−4y=24

(4,0)

500

2x+y=-10

-y=2x+10

infinite solutions

Christmas

100

Who once stole Christmas?

The Grinch

200

He invented electric Christmas lights. (bonus 200 if you get the year)

Thomas Edison in 1880

300

This is what you leave for reindeer. (2 things)

Carrots and oats

400

This American President banned Christmas trees in the White House.

Theodore Roosevelt

500

This fairy tale inspired gingerbread houses.

Hansel and Gretel

Trivia

100

This is the most famous Christmas ballet of all times.

The Nutcracker

200

The first name of Scrooge, the principal character of the novel, A Christmas Carol.

Ebenezer

300

What year was Christmas declared a federal holiday in the USA? (closest within 20 years wins)

1870

400

These 2 reindeer were named after weather phenomenon. 

What is Donner {means thunder in German} and Blitzen {means lightning}.

500

What is the capital of Christmas Island?

Settlement