Systems of Equations Part 1

How to Cross the Bridge

Systems of Equations

Multiple Choice

What does a "system" mean?

• 2 or more things working together

• 2 things moving at the same time

• 1 thing that does many things

How to cross the bridge...

• $5 to Cross

• Or solve this Riddle....

Riddle: How many types of each bill do I have in my pocket?

• I have a total of 900 bills

• The amount of money totals to $5500

 $f\ +\ t\ =\ 900$ 

 $5f\ +\ 10t\ =5500$  

Multiple Select

What should the answer to this problem look like?

• He has $______

• He has __ amount of 5's and __ amount of 10s

• He has __ amount of friends

• He has __ amount of 10 dollar bills

Multiple Choice

Which equation will help us know how many bills he has?

• F + T = 900

• F x T=900

• 900+ F=T

Multiple Choice

Which equation will help us find how many of each bill he has?

• 3t + 3f = 5500

• f + t = 5500

• 5f + 10t = 5500

f + t = 900

Let's start with our first equation

Multiple Choice

 $f\ \ +\ \ t\ =900$  

If he had ALL 5's in his pocket... how would our equation look?

• 900 + 0= 900

• 450 + 450 = 900

• 800 + 100 = 900

Fill in the Blanks

If he had ALL 10's in his pocket... what would the equation look like?

5f + 10t = 5500

Now lets to the same for our 2nd equation

Multiple Choice

What would our equation look like if all his bills were 5's

• 5(11) + 10(0) = 5500

• 5(1100) + 10(0) = 5500

• 5(5500) + 10(0) = 5500

Multiple Choice

What would our equation look like if he had ALL 10's

• 5(11) + 10(100) = 5500

• 5(0) + 10(550) = 5500

• 5(0) + 10(5500) = 5500

Multiple Select

If we were to create a graph... what would our (2) points be for our 1st equation: f + t = 900?

• (900,0)

• (900, 5500)

• (0,900)

• (5500,900)

Multiple Select

If we were to create a graph... what would our (2) points be for our 2nd equation 5f + 10t = 5500?

• (1100,0)

• (100,5500)

• (0,550)

• (0,0)