Solving Proportions!

Simplifying Ratios

100

4:2

2:1

200

15:20

3:4

300

50:75

2:3

400

48:70

24:35

500

64:24

8:3

Simple Proportions

100

  1   =   x  

 3         9

x=3

200

  2  =  x  

  9      27 

x=6

300

  12  =  3  

  x        2

x=8

400

  -2  =  8  

  11      x

x=-44

500

  -6  =  -5  

  10      x

x=   25  

        3

Linear Proportions

100

    1    =    4    

   8         2x+6

x=13

200

  x+6   =     5    

  x-2           9

x=-16

300

  x-8   =   x+4  

   5            9

x=23

400

  x+2  =  x-3  

    5          2

x=  19  

       3

500

  4(x-2)  =  x+9  

    7             2

x=79

Quadratic Proportions

100

  x  =  9  

  4      x

x=6 or x=-6

200

  4  =  x   

15x    15

x=2 or x=-2

300

 x-4 =  4  

 x-3     x

x=6 or x=2

400

  x-3  =    -9    

  x-8         x

x=6 or x=-12

500

  2x+4  =   -10   

   x-6           2

x=-10 or x=3

Trivia!

100

The date is when Pi Day is celebrated in the United States.

When is March 14th?

200

This TV series is the longest running show on Nickelodeon.

What is SpongeBob Squarepants?

300

John Lennon was a member of this band.

Who are The Beatles?

400

Sid from Ice Age is this type on animal.

What is a sloth?

500

These long-term college basketball rivals met in the final four for the first time this year.

What is Duke and UNC?