Systems Y=MX+B Word Problems

What do you use when given a:

Rate of Change (Slope)

Starting Point (y-intercept)

• y=mx+b (Slope and Intercept)

• Ax+By=C (Standard Form)

• y-y1=m(x-x1) (Point and Slope)

• y2-y1x2-x1 -> y-y1=m(x-x1) (Two Point)

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What do you use when the problem compares 2 different objects?

• y=mx+b (Slope and Intercept)

• Ax+By=C (Standard Form)

• y-y1=m(x-x1) (Point and Slope)

• y2-y1x2-x1 -> y-y1=m(x-x1) (Two Point)

What do you use when given a:

Rate of Change/"per" (Slope)

"Sample Point"/ Example

• y=mx+b (Slope and Intercept)

• Ax+By=C (Standard Form)

• y-y1=m(x-x1) (Point and Slope)

• y2-y1x2-x1 -> y-y1=m(x-x1) (Two Point)

What do you use when given:

2 "Sample Points"/ Examples

• y=mx+b (Slope and Intercept)

• Ax+By=C (Standard Form)

• y-y1=m(x-x1) (Point and Slope)

• y2-y1x2-x1 -> y-y1=m(x-x1) (Two Point)

Evan is going to the county fair this weekend. The admission to the fair is $5 and the cost per ride is 50¢. If his parents gave him $20, write and solve a linear equation to find how many rides he can go on.

• y=0.50x+5

• x=30

Tags

CCSS.7.EE.B.4A

While visiting Crimson Lake, Sally decided to go kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. until 2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.

• y=8.50x+25

• y=50.50

Tags

CCSS.7.EE.B.4A

Alex bought a new truck for $42,935. According to the dealer, the truck will depreciate approximately $4,200 per year. Write and solve a linear equation to find how many years until the trXFN is worth $5,135.

• y=-42000x-42935

• x=9

Tags

CCSS.7.EE.B.4A

Sam ordered two hamburgers and three hotdogs from the concession stand at the baseball game. His bill came to $19.05. If hamburgers cost $5.25 each, write and solve a linear equation to find the cost of each hotdog.

• 2x+3y=19.05

• y=2.85

Tags

CCSS.7.EE.B.4A

At Eagle Bay, it costs $12 per hour to rent a canoe. Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve a linear equation to find the cost to rent the canoe for 7 hours.

• y=12x+20

• y=104

Tags

CCSS.7.EE.B.4A

To surf the internet for 15 minutes at an airport, it costs $4.05. For 40 minutes, it costs $5.80.Write and solve a linear equation to find the cost for surfing the web for one hour.

• y=0.07x+3

• y=7.20

Tags

CCSS.7.EE.B.4A