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Halloween Systems Escape Room - Algebra 1

Alyssa Kho

Created on October 25, 2024

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Transcript

SPOOKY escape Intro to Systems of equations

Get all the candy!

start

SPOOKY SYSTEMS ESCAPE!

You've got your pumpkin ready for the spookiest night of the year. Your mission: navigate through five haunted houses, solve their riddles, and amass a bone-chilling treasure trove of candy. πŸŽƒπŸ‘»πŸ¬

go!

Go house to house!

Candy obtained

πŸ”’

πŸ”’

πŸ”’

πŸ”’

Witch's house

Alert! Witches nearby! Dare to knock?

knock

1/3

Find the slope between these two points: (8, 16) and (-4, 12)

1/3

knock

knock

2/3

Find the slope: y = -3/8x + 4

-3/8

3/3

Slope is identified as which relationship:

Change in Y divided by Change in X

Change in X divided by Change in Y

Spooktacular!

You've passed the first test and scored some candy. Keep it up!

Candy obtained

continue

Go to the next house!

Candy obtained

πŸ”’

πŸ”’

πŸ”’

βœ”οΈ

House of the Wolf

A wolf is on the loose! Got the guts to knock?

knock

1/3

What does it mean to have a SYSTEM of equations?

When all equations are the same.

When equations are systematic.

When 2 equations are equal or their graphs intersect.

knock

knock

2/3

Use desmos to figure out where this SYSTEM has a solution... y = 2x +1 and y = -3x -6

(-2, -3)

(0,0)

(2.3)

3/3

What is the solution to this SYSTEM: y = 25x -9 and y=60x +5

(19, 4)

(0,0)

(-0.4, -19)

Awesome!

You've outsmarted the wolf, and your candy bag grows.

Candy obtained

continue

Go to the next house!

Candy obtained

βœ”οΈ

πŸ”’

πŸ”’

βœ”οΈ

Frankenstein's House

An electrifying house, are you up for it? ⚑

knock

1/3

Use Equal Values Method to solve this system for x: y=6x +5 y = -3x + 3

9/2

-.5

-2/9

knock

knock

2/3

Use EVM to solve for x and y and write as a coordinate point: y = 3x + 6 and y = 9x - 12

(3,6)

(3, 15)

(9, 12)

3/3

Use EVM to solve the system: y = -4x + 1 and y = 8x - 11

(-9,0)

(1,-3)

(0, 1)

You rock!

You've unraveled the mysteries of Frankenstein and scored more candy.

Candy obtained

continue

Go to the next house!

Candy obtained

βœ”οΈ

βœ”οΈ

πŸ”’

βœ”οΈ

House of the Mummy

A mummy in the house! Shall we?

knock

1/3

How many solutions to the system: y = -6x + 5 6x + y = 5

One Solution

No Solutions

Infinite Solutions

knock

knock

2/3

How many solutions to the system of equations? y = 4x - 9 -4x + y = 14

One Solution

No Solution

Infinite Solutions

3/3

How many solutions to the system of equations? y = -3x + 4 y = 2x + 5

One Solution

No Solution

Infinite Soutions

Fantastic!

You've unraveled the mummy's secrets and bagged more candy.

Candy obtained

continue

There is only one house left!

Candy obtained

βœ”οΈ

βœ”οΈ

βœ”οΈ

βœ”οΈ

Dracula's house

Last stop, Dracula's House! Do we dare?

knock

1/3

Find the graphical solution to this System of Equations: y=4x -9 y = |x+2|

(10.24, 8.99)

(3.66, 5.66)

(2.29, 8.33)

(6.75, 8.22)

knock

knock

2/3

Find the graphical solution to this system of equations: y = 8x-7 y = 2x+11

(4, 9)

(2,8)

(11,7)

(3,17)

3/3

How many solutions are there to this system of equations? y = |8x - 7| y = 2x - 1

None

Infinite

You're a legend!

You've bested the one and only Dracula, and your candy bag is bursting.

Candy obtained

continue

You did it!

Your journey has been fang-tastically amazing, and your candy haul is out of this world!

Are you sure you want to go out?

If you exit you will return to the start of the game and you will lose your progress

back

exit

Oh! You have failed...

try again!