Solving Equations
Calculating Slope
Writing Equations
Proportional or Non-Proportional
Making Predictions
100
Solve
2x + 1 = 9
x = 4
100
Calculate the slope of the line
m = 4/3
100
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.
Slope-Intercept: y = mx+ b
y = 4x + 30
100
Proportional or Non-Proportional?
Proportional
100
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. How much money will she make if she baby-sits 5 hours?
$28
200
-5x - 4 = -24
x = 4
200
Calculate the slope.
m = -3/4
200
When visiting Baltimore, MD, you need to rent a taxi to get from your hotel to the National Aquarium. The taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile. Write an equation in slope-intercept form that models this situation.
Slope-Intercept: y = mx + b
y = 0.75x + 3
200
Proportional or Non-Proportional
Non-Proportional
200
A plumber charges $25 for a service call plus $50 per hour of service. What will be the total cost for 8 hours of work?
$425
300
(x/4) + 7 = -2
x = -36
300
Calculate the slope between the two points.
(2, -4) and (-8, 6)
m = -1
300
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation in slope-intercept form to model the situation.
Slope-Intercept: y = mx + b
y = -2,000x + 30,000
OR
y = 30,000 - 2,000x
300
Proportional or Non-Proportional
Proportional
300
A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Leslie and Ann spent $200. How many hours did they rent the canoe?
6 hours
400
(2x - 1)/3 = 7
x = 11
400
Calculate the slope as a unit rate.
Jessica burned 1,200 calories during her 3 hour ski session.
How many calories did she burn per hour?
400 calories per hour
400
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation in slope-intercept form to represent the situation.
Slope-Intercept: y = mx + b
y = -0.5x + 34
OR
y = 34 - 0.5x
400
Is this relationship proportional or non-proportional?
A doctor measured a patient’s resting pulse rate at 80 beats per minute.
Proportional
400
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. How long will it take Rufus to collect 400 pounds of cans?
12 weeks
500
3x - 7 = 5x + 9
x = -8
500
Given the description, identify the slope.
James worked for 5 hours and made $65.
Kennedy worked for 8 hours and made $101.
How much do they make per hour?
$12
500
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Write an equation that represents when the two salaries will be the same.
NOTE: This will NOT be slope-intercept form!
45,000 + 2,500x = 54,000 + 1,500x
500
Proportional or Non-Proportional
Non-Proportional
500
Jim has to choose between two gym membership plans.
Plan A: $50 monthly membership fee and $10 per visit.
Plan B: costs $25 monthly one time membership fee and $15 per visit
How many times does Jim have to go in order for the total cost to be the same?
5 visits