A1 - GhostlyEscape Matrices

MaTRICES.....

Ghostly Escape

enter if you dare.....

The Mission.....

A ghost is trapped in this house, doomed to wander it until it regains all its memories. To help it recover them, you must first overcome all the challenges and collect the missing objects in your inventory. Explore the house while trying not to get trapped yourself…

Inventory

Explore the house....

Solve the System of Equations using a Matrix

01

y = -x - 2 y = -3x + 6

No Solution

(4, 6)

(-6, 4)

(4, -6)

Solve the System of Equations using a Matrix

02

3x + 2y = 4 x - y = -7

Infinite Solutions

(2, 5)

(-2, 5)

(2, -5)

03

Solve the System of Equations using a Matrix

x - y = -7 6x + 7y = -42

(-7, 42)

(-7, 0)

(0, 7)

(6, 7)

04

Solve the System of Equations using a Matrix

6x - 5y = -20 y = -x - 7

No Solution

(-5, -2)

(5, 2)

(6, 5)

TRY AGAIN

Back

Find the key to continue...

Inventory

Continue exploring the house....

Solve the System of Equations using a Matrix x - 5y = -10 x - y = 2

01

(5,3)

(2,-10)

(-10,2)

(-5,-3)

02

Solve the System of Equations using a Matrix

x + y = 104x - y = -5

(10,-5)

(4,1)

(1,9)

(9,1)

(-1,18)

03

Solve the System of Equations using a Matrix

(2,-3)

(-3,-7)

y = 2x - 1 x - 3y = 18

(3,7)

04

Solve the System of Equations using a Matrix

(-2,10)

(2,-10)

(-2,2)

x + 2y = 2 3x - 2y = -10

(2,-2)

You found a secret message

♪♬ø

Remember these notes and play them on the piano in the correct order

01

...Keep playing

02

...One more

03

Start over...

You found a new item for your inventory!

Inventory

Continue exploring the house....

♪♬ø

Use the magnifying glass to search for the code then enter it into the typewriter....

/ / / /

224

. . .

Enter the secret code

Code

Solve the System of Equations using a Matrix

01

(-10,-5)

(16,8)

Infinite Solutions

(10,5)

2x + 16y = -10 x + 8y = -5

Solve the System of Equations using a Matrix

02

(1,3.5)

(5,8)

No Solution

Infinite Solutions

2x + 7y = 5 6x + 21y = 8

Solve the System of Equations using a Matrix

03

(18,9)

Infinite Solutions

No Solution

8x - 12y = 18 4x - 6y = 9

(-18, -9)

Solve the System of Equations using a Matrix

04

Infinite Solutions

(0,8)

(40,8)

No Solution

5y - 6x = 40 3x + y = 8

Inventory

♪♬ø

Alex and his friend ordered donuts. Alex paid $12.45 for 6 donuts and 4 kolaches. His friend paid $14.80 for 10 donuts and 3 kolaches.

01

Which system of equations can be used to determine the cost, in dollars, of each kolache?

Iventory

6x+4x=12.45 10y+3y=14.80

6x+4y=14.80 10x+3y=12.45

6x+4y=12.45 10x+3y=14.80

6y+4y=12.45 10x+3x=14.80

02

Sam bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Devon bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50.

Cheese $1.00 Mushroom $2.50

Mushroom $1.50 Cheese $2.00

What was the cost of each type of pizza?

Cheese $1.50 Mushroom $2.00

Cheese $1.00 Mushroom $2.50

A company advertises on two websites. Each website charges a different amount based on the number of clicks on the advertisement. The table shows the number of clicks on each website and the total cost of each of two days.

03

What is the cost per click on each Website?

Website 1: $2.70 Website 2: $1.85

Website 1: $1.85 Website 2: $2.70

Website 1: $15Website 2: $29

Website 1: $94.15 Website 2: $121.15

04

Tickets to a movie cost $15 for adults and $12 for students. A total of 18 tickets were bought for $240.

(10,8)

(15,12)

How many adult tickets, x, and student tickets, y, were purchased?

(8,10)

(12,15)

It's locked...look in the inventory for something to open it

Congratulations!

You have recovered all the memories of the ghost! Now it can finally rest and you can escape from the house...

Are you sure you want to exit?

You will lose all progress made so far...

Back

Exit

. . . . . . .

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