Word Problems
Formulas
Slope Intercept Form
Calculating/Finding Slope
Linear Equations
100
In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.
y=5x+20
100
What is slope-intercept form and what does each variable mean?
y = mx + b
m= slope
b= y-intercept
100
If Slope = 4, and y-intercept = 1, set up the linear equation.
y= 4x + 1
100
Identify the slope of the equation that is in slope-intercept form.
y=-x+5
slope(m)=-1
100
Write in slope intercept form given: (-5, 6), slope = -3 (hint: put in point-slope form first)
y= 3x + 21
200
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
y=1.5x+4
200
What is the point-slope formula?
(y-y1)= m (x-x1)
200
If Slope = -3, and y-intercept = 5, create a linear equation.
y= -3x + 5
200
Calculate the slope given the two coordinate points (3,1) & (5,3)
slope(m)=1
200
write in slope-intercept form given: (6, -6), slope= 5
What is y= 5x - 36
300
The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation which models the situation.
11,200=7x+4y
300
what is the equation for Direct Variation (Proportional Relationship)
y= kx
300
Identify the slope and y-intercept of ...
-x + y = 4
What is slope = 1, y-intercept =4
300
Identify the slope of the graph
slope(m)=rise/run= 4/3
300
write in slope intercept form given: (0,1) and (2,5)
y= 2x + 1
400
You have $30 to spend on downloading songs for your iPod. Company A charges $0.79 per song, and Company B charges $0.99 per song. Write an equation that models this situation.
30=0.79x+0.99y
400
What is the slope formula when given two coordinate points?
(y2-y1)/ (x2-x1)
400
What is the slope and y-intercept of ...
y + 3x = -7
What is Slope = -3, and y-int = -7
400
Identify the slope of the graph.
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slope(m) = rise/run = -4/5
400
Given: (2,3) and m=-5
Write the linear equation using point-slope.
y=-5x+13
500
At your local market, ground beef costs $2 per pound and chicken breasts cost $3 per pound. You have a total of $30 to spend on ground beef and chicken for a party. Set up an equation that describes the scenario and find your x-intercept and y-intercept.
2x+3y=30
x-intercept- (15,0)
y-intercept- (0,10)
500
What is the formula for Standard Form and what can it be used to determine?
What is Ax + By = C It is used to find the x- and y- intercepts
500
The entrance fee for to the campsite is $20. The total cost y for a camping trip for x nights can be represented by y= 15x + 20. What does the slope and y-intercept represent in this specific problem?
slope = the cost per night
y-intercept = entrance fee
500
Calculate the slope of the two coordinate points:
(3,-4) & (-2,3)
slope(m)= 7/-5
500
Given:
(0,4) and m=-3
Create the linear equation using point-slope form.
y=-3x+4