Linear Functions

Exponents

Quadratics

Animal Facts

Miscellaneous

100

What is the slope and y-intercept of the following linear equation?

y = 2x + 5

Slope: 2

y-intercept: 5

100

(2^{4})(2^{x}) = ?

2^{4 + x}

100

What is the degree of every quadratic function?

*Hint: Think about the standard form of a quadratic function.*

2

100

What bug species is invasive to NY? (has been a big problem recently)

Lantern Fly

100

Is the the longest side of a right triangle.

What is the *hypotenuse*?

200

What is the slope of the following linear equation?

- 5x = 2 - y

5

200

(4^{3})^{2x} = ?

*Give your answer completely simplified.*

4096^{x}

200

What is the name of the graph of quadratic function?

Parabola

200

What is the fastest swimming shark species?

mako shark

200

This is the chemical symbol for water.

What is H_{2}0 ?

300

What is the slope of a line that contains the following 2 points:

(4,10) and (6, 15)

(y2 - y1) / (x2 - x1)

(15 - 10) /(6 - 4)

5 / 2

300

x^{0} = ?

1

300

What are the zeros of the following quadratic function given in factored form.

(x - 5)(2x + 1) = 0

{5 , (-1/2) }

300

This animal sleeps with only half it's brain at a time. A sleep pattern called unihemispheric sleep. Allows the animal to get rest while also staying alert and aware of their surroundings.

What is a dolphin?

300

Which prime number is the only even one?

2

400

f(x) = 2x -1

g(x) = - x + 2

At what x-value does f(x) = g(x) ?

x = 1

400

Given the following exponential equation, determine if the function represents exponential *growth* or *decay*.

*Must give a reason why.*

y = 10(1/4)^{x}

Decay.

0 < b < 1 (common factor between 0 and 1)

400

What are all the words that describe the *"x-intercept(s)" *of a quadratic function.

Hint: there are 3

zeros

roots

solutions

400

South American species, are the largest rodents in the world. Live in packs and enjoy the water.

What is a capybara?

400

Painted by Leonardo da Vinci, this iconic portrait showcases a woman with a mysterious and captivating smile.

What is the Mona Lisa?

500

Given -2y > x + 3.

What is the ________ ?

1 - Slope

2- Y - intercept

3 - Point in the solution set.

1: (-1/2)

2 : (3/-2)

3 : y < (-1/2)x + (3/2) [Ms. Boccio will check]

500

There are 500 mg of caffeine in a can of red-bull. The biological half-life of caffeine is 5 hours.

Write an equation that models *f(x)*, the amount of caffeine remaining in the body, given x the number of half lives passed.

*Q: HOW MUCH CAFFEINE IS REMAINING IN THE BODY AFTER 30 HOURS??*

f(x) = 500(1/2)^{x}

30 hours --> each half life is 5 hours, so 6 half lives pass in 30 hours.

f(6) = 500(1/2)^{6} = 7.8125 mgs of caffeine.

500

2x^{2 }- 16 = 0

Solve for all solutions of following quadratic equation. *There are several ways to get the correct answer.*

***Put your answer in simplest radical form.***

+ 2sqrt(2)

- 2sqrt(2)

500

Which farm animal was the first one to be domesticated?

What is a *goat*?

500

In Greek mythology, this winged horse sprang from the blood of medusa and is associated with poetry and inspiration.

What is a Pegasus?