Module 4 DBA review

BREAKOUT

Story

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The

dBA Prep

Mod 4

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Legend says that a faraway kingdom forged a sword that together with the power of the Elemental Gems (fire, water, air, and earth) could defeat any evil. Gather the gems to assemble the ultimate weapon and defeat the dragon hiding in the dungeon.

Thank goodness you’ve come! We need your help! You need to find the 4 Elemental Gems so that the sword has enough power to defeat the fearsome dragon that is terrorizing our people…You will need a calculator, desmos.com, and something to keep track of what you are answering for each question. This will help you when you complete your DBA after slaying the dragon!

Of course!

No thank you, I’ll pass

Help us, only a person like you can do it!

Hehehe, I was kidding. Ahem, of course I’ll help you

Ouch! I thought you were cool ... What will become of us!

I knew you would not fail me! Thanks a lot! Here is the holy sword. Now gather the Elemental Gems to complete it and defeat the dragon.

EARTH GEM

Start level

Watch out, a wandering skeleton is in your way! Get the earth gem by passing a quiz about Module 4 terms!

LEVEL 1 - EARTH GEM

Where do you think you’re going, mortal?! You won’t be worthy of the Earth Gem until you get all my questions correct. Do you dare to try?

Which example below is a correct system of equations?

2x + 6y = -15 5a - 7b = 21

4n + 10m = -30 18n - 13m = -50

What is a solution to a system of equations?

All ordered pairs that are on the lines

The ordered pair where the lines intersect

What is true about the slopes in a system that has no solution?

They are the same

They are different

Which example below would give you infinitely many solutions?

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

2x + 4y = -5 x + 2y = -2.5

What would be considered the solutions to a system of inequalities?

Where the two shadings overlap

Anywhere on the graph that shading occurs

Congratulations!! Here is your reward, you have earned it

Hahahaha, what do you say? ...

Oh, I've lost my mind, give me another chance!

LEVEL 2 - AIR GEM

AIR GEM

Start level

Choose the correct image to get out of the room alive and get the next gem

Which system of equations is correct for this scenario: The high school theater club had charged $12 for each adult ticket and $8 for each student ticket. On opening night, they made $1,156 and sold 123 tickets.

a + s = 123 12a + 8s = 1,156

a + s = 1,156 12a + 8s = 123

Solve this system of equations: a + s = 123 12a + 8s = 1,156

Adult tickets sold: 43 Student tickets sold: 80

Adult tickets sold: 80Student tickets sold: 43

Which choice demonstrates a correct way to prove that a solution is correct?

43 + 80 = 123 123 = 123 12(43) + 8(80) = 1156 1156 = 1156

80 + 43 = 123 123 = 123 12(80) + 8(43) = 1156 1304 = 1156

You got the Air Gem!

Exit

Try again

GAME OVER

LEVEL 3 - WATER GEM

WATER GEM

Start level

Drag the light to find the correct answer

a + s < 25015a + 10s > 2500

a + s > 25015a + 10s < 2500

a + s < 25015a + 10s > 2500

It is opening night for the high school theatre club's musical, "Math is Everywhere," and they hope to raise $2500 or more in ticket sales. The tickets cost $10 for students and $15 for adults, and the auditorium can seat no more than 250 people. Find the correct system of inequalities.

Both lines would be solid; top would shade above and bottom would shade below

Both lines would be dotted; top would shade below and bottom would shade above

Both lines would be solid; top would shade below and bottom would shade above

Explain what the line and shading direction would be for each inequality in this system: a + s < 250 15a + 10s > 2500

(220, 40)

(140.5, 90)

(180, 80)

(140, 50.5)

(120, 60)

(120, 100)

Find an ordered pair that would be viable to the scenario. a + s < 250 15a + 10s > 2500

You got the Water gem!

Exit

Try again

GAME OVER

LEVEL 4 - FIRE GEM

FIRE GEM

Start level

Search among the tiles for the mathematical operation to find the correct answer

system of equations; they need exactly $500

system of inequalities; they need exactly $500

system of inequalities; they need at least $500

The 9th graders are holding a dance. They would like to make at least a $500 profit. They estimate that at most 250 students will attend. It costs $5 in advance and $8 at the door. Would a system of equations or inequalities be used to model the scenario?

x + y > 250 5x + 8y < 500

x + y < 250 5x + 8y > 500

x + y < 250 5x + 8y > 500

The 9th graders are holding a dance. They would like to make at least a $500 profit. They estimate that at most 250 students will attend. It costs $5 in advance and $8 at the door. What would the system look like?

36

54

No; it does not fall in the overlapping shades

No; it falls in the shading but a ticket can not be negative

Yes; it falls in the overlapping shades

Is (140, -20) a viable solution to the system about the 9th grade dance? x + y < 250 5x + 8y > 500

You got the Fire Gem!

GAME OVER

Exit

Try again

FINAL LEVEL - DRAGON

Defeat the dragon!

How dare you bother me, you fool!

You defeated the dragon, and the kingdom is at peace again. And, you’ve become a legend! Use your resources when taking the test. You will see how easy it can be! Now, go crush the test!

Well done!

What will become of us!

SURE YOU WANT TO GO OUT?

Exit

Stay