Unit 6 Lessons 1-4

Topic 1

200

Is the function y=4x²+36 linear, exponential, or quadratic? Explain your reasoning.

Quadratic

300

Given the pattern on the board, how many squares will be in step 4? Explain your reasoning.

19

400

Given the pattern on the board, how many squares will be in step 0? Explain your reasoning.

3

500

Given the pattern on the board, how many squares will there be in Step 255? Explain your reasoning.

65,028

600

Given the pattern on the board, How many squares will there be in Step x? Explain your reasoning.

x²+3

Topic 2

200

The perimeter of a rectangle is 280 meters. 

The length is 70 meters. 

What is the width of the rectangle?

70 meters.

300

The perimeter of a fence is 130 meters. 

The width of the fence is 15 meters. 

What is the area?

The area is 750 squared meters.

400

The perimeter of a fence will be 110 meters.

If the length is 22, what is the width?

What is the area?

The width is 33 meters. 

The area is 726 squared meters.

500

A landscaper has 40 meters of fencing for a client's yard. What length and width will give the most area covered?

Length=10

Width=10

600

The perimeter of a fence will be 120 meters. 

Find a length and width such that would produce the largest possible area. What is the area? Explain or show your thinking.

Length=30, Width=30

Area = 900m²

Topic 3

200

Given the function: f(x)=5x²-3

What is the output when the input is 42?

8,817

300

Is the function linear, exponential, or quadratic?

f(x)=5*16x²

^{How do you know?}

Quadratic

400

Is the function linear, exponential, or quadratic?

g(x)=5^x+16

How do you know?

Exponential

500

Here are two functions: 

f(x)=2x²+3

g(x)=4*3^x

Complete a table to compare the two functions. Use 0-4 as your inputs.

x=0, f(0)=3 g(0)=4

x=1, f(1)=7 g(1)=12

x=2, f(2)=11 g(2)=36

x=3, f(3)=21 g(3)=108

x=4, f(4)=35 g(4)=324

600

Here are two functions: 

f(x)=2x²+3

g(x)=4*3^x

Graph the two functions to compare them. Use 0-4 as your inputs.

*Graph on Desmos*

Bonus

200

Which song by Luis Fonsi and Daddy Yankee has the most views (of all time) on YouTube?  

 “Despacito.”

300

 What was the first state?  

Delaware

400

What is Chandler’s last name in the sitcom Friends?

Bing 

500

What is the third sign of the zodiac?

Gemini

600

How many hearts does an octopus have?

3

Misc

200

Name the three primary colors.

Red, Yellow, Blue

300

What is the real name of Jersey Shore’s Snooki?

Nicole Polizzi

400

 In which video game did Super Mario first appear?

Donkey Kong

500

How long does it take to hard boil an egg?

7 minutes

600

How much weight can an ant lift?

50 times it's weight