Linear Equations
Slope
Solving Equations
Real World Equations
Linear Continued...
100
A swimming pool has 345 gallons in it and is being filled at a rate of 12 gallons per minute. Write a linear equation to represent this situation.
y = 12x + 345
or
y = 345 + 12x
100
How do you find slope on a graph?
Rise/Run
100
Solve the equation below.
-2x + 30 = 5x - 40
x = 10
100
Write an equation for the situation.
Jose got $80 for his birthday and saved $5 per week. Martha got $50 for her birthday and saved $8 per week. After how many weeks will they have the same amount of money?
80 + 5x = 50 + 8x
100
What is the y-intercept of a line going through the points (2, 5) and (0, -8)?
b=-8
200
Write an equation to represent the table.
y = 3x + 1
200
How do you find slope from a table?
y-y/x-x
200
Solve the equation below.
-3y + 26 = 2y - 34
y = 12
200
Write an equation for the situation.
A yellow balloon has 80 sq cm of helium and is leaking at a rate of 2 sq cm every second. An orange balloon has 70 sq cm of helium and is leaking at a rate of 1.5 sq cm every second. After how many seconds will the balloons have the same amount of helium?
80 - 2x = 70 - 1.5x
200
What is the y-intercept of a line going through the points (8, 0) and (0, 2)?
b=2
300
y = 4x + 5.75
or
t = 4s + 5.75
300
What is the slope of a line that goes through the points (0, 2) and (4, 6)?
m = 1
300
Solve the equation below.
4y - 36 = 2y
y = 18
300
A large tank had 30 gallons in it and was draining at a rate of 8 gallons per hour. A small tank had 10 gallons and was being filled at a rate of 2 gallons per hour. How many hours will it take for them to be at the same level?
2 hours
300
The fair has an $8 entry fee and charges $1.50 for tickets for rides. Write a linear equation to represent the situation.
y = 1.5x + 8
or
y = 8 + 1.5x
400
Write an equation for the line that goes through the points (0, 2) and (4, 3).
y = 1/4x + 2
or
y = 0.25x + 2
400
What is the slope of the equation below?
y=-4x+8
m=-4
400
-6x - 15 = x + 20
x = -5
400
Maria already made $24 selling bracelets and is selling them for $4 each. John just started selling them and is selling them for $10 each. How many bracelets do they each need to sell to have the same amount of money?
4 bracelets
400
Carlos recently started a new bank account.
- Opened the account with $100 of birthday money
- Deposits $25 per week to add to his savings
What is a linear equation that could represent the situation?
y = 25x + 100
or
y = 100 + 25x
500
Write an equation to represent the table.
y = 2x - 1.5
500
What is the slope of a line going through the points (12, 15) and (2, 20)?
m=-1/2
500
1/4x + 1/2 = 1/5x + 1/10
x = -8
500
Experiment A is set at a temperature of 8 degrees and is increased 4 degrees each minute. Experiment B is set at -2 degrees and is increased 5 degrees each minute. After how many minutes will the two experiments be at the same temperature?
10 minutes
500
A swimming pool started with 700 gallons and is being drained at a rate of 40 gallons an hour. Write a linear equation to represent the situation.
y = -40x + 700
or
y = 700 - 40x