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Vocabulary
Intercepts
Solving
100

How many points do you need to make a line?

2

100

What does interpret mean?

write it in words

100

3x+15y=30

find the X and Y intercept write them as ordered pairs

(0, 2)

(10,0)

100

Solve:

3=-2(x+5)-9

12=-2(x+5)

12=-2x-10

22=-2x

x=11

200

which is the y-intercept?

A (2, 0)                B (4, 8)

C (3, 1)                D (0, 8)

D (0, 8)

200

If a problem says they "started with...." what is that value?

y-intercept

200

6x+7y=42

find the x and y intercept and write them in ordered pairs

(0, 6)

(7, 0)

200
John is buying new tools with $60. He needs to buy hammers which cost $15 and wrenches that cost $10. If he needs to buy 2 hammers, how many wrenches can he buy?

15x+10y=60

15(2)+10y=60

30+10y=60

10y=30

y=3   John can buy 3 wrenches

300

Ryan is selling toys. He sells 30 toys for $265. If the number of toys is represented by t and the cost is represented by C(t), write this scenario in function notation

C(30)=265

300

If a problem asks you "what does the slope mean in the context of the problem" what do you do?

Slope is the change in y over change in x. So you explain as the output does ____ the input does _____. Where output and input replaced with the units of both variables  

300

Given the equation 10x+15y=-15

Rewrite it in a way to QUICKLY find the y intercept

15y=-15-10x

y=-1-(10/15)x

300

Given the equation 5x+2y=10 write it in slope intercept form

2y=10-5x

y=5- (5/2)x

400

What are the 3 ways to find slope?

change y/change x

y2-y1/x2-x1

rise over run

400

What are the 3 equations we have been working with?

slope intercept: y=mx+b

point slope: y-y1=m(x-x1)

Standard: Ax+By=C

400
Frank has $30 for a BBQ. Hotdogs cost $3 per pack and hamburgers cost $5 per pack. Interpret the y and x intercepts. 

If frank buys only hotdogs he can buy 10 packs

If frank buys only hamburgers he can by 6 packs

400

Adam bought a new shelf for his shoes. If he puts only his crocs(y) on the shelf he can fit 10. If he puts only sneakers(x) on the shelf he can fit 5. Write an equation that shows the relationship of this linear function. 

y intercept: (0,10)    x intercept: (5,0)

slope: 0-10/5-0=-10/5=-2

y=-2x+10 

500

Sam has to drink 24 ounces of fluid before he goes to bed. He can drink water which is 8 ounces or soda which is 6 ounces. Write this scenario in an equation where water is w and soda is s. 

8w+6s=24


500

What do you do to find "y in terms of x"?

y by itself

y=mx+b

500

Sandy has $60 to buy food for her dogs. She can buy chicken(x) for $10 per bag and steak(y) for $15 per bag. Interpret the y and x intercepts.

If Sandy bought only chicken she could buy 6 bags

If Sandy bought only steak she could buy 4 bags

500
Drew is trying to save money to buy a PlayStation game that costs $60. He works two jobs and is saving to buy his PlayStation. He is a cashier and makes $15 an hour and is a dogwalker for $10 an hour. Give 3 solutions for this scenario. 

No hours dog walking, 4 hours cashier

6 hours dog walking, no hours cashier

3 hours dog walking, 2 hours cashier