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WorksheetsWriting Equations in Slope Intercept Form
Total questions: 44
Worksheet time: 3hrs 31mins
Which of the following situations could be described by the equation y= 25x + 120
There are 25 gallons of water in a tank. It collects water at a rate of 120 gallons per minute
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for to represent the situation.
x = 2y + 15
y = 15x + 2
x = 15y + 2
y = 2x + 15
A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.
The additional fee of $8.
The initial fee of $25.
The additional fee of $25.
The initial fee of $8.
You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.
Which of the following equations matches the situation?
0.75x + 3y = 50
y = 0.75x + 3
y = 3x + 0.75
50 = -0.75x + y
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
y = 12.5x + 30
y = 12.5 + 30
y = 12.5 + 30x
The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.
x = 8y + 50
x = 50y +8
y = 50x + 8
y = 8x + 50
Your new job is at the Custom T Shop, where T Shirts are printed to order. For each order, Custom T Shop charges $8 per shirt plus a one time set up fee of $15, represented by the equation y=8x+15
How much would 50 shirts cost?
y= 400
y= 415
y= 65
y= 390
Rate of change is also known as
Slope
y-intercept
x-intercept
initial value
y = - 30x + 100
A family buys a case of water with 48 bottles and drinks 5 bottles per day.
y =- 5x + 48
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
Alina has $500 in her bank account. Every week she adds $45. Write an equation where x represents the number of weeks and y represents the amount of money in her bank account.
Given: y=−31x+5 , the slope is (a) and the y-intercept is (b)
−31
31
13
−13
Dexter's Gym charges a one-time registration fee of $40 and $20 each month.
Write an equation in y=mx+b form, for the situation.
y= (a) x + (b)
Match each equation with the correct attribute
y=−2x+2
Slope = -2
y=2x+6
Y-Intercept = 6
y=−21x+2
Slope = -1/2
y=2x−2
Y-Intercept = -2
y=6x−21
Slope = 6
y=2x−10
Identify the following about the equation above.
slope (m): (a)
y-intercept: (b)
y=32x−3
Identify the following about the equation above.
slope (m): (a)
y-intercept: (b)
What two equations would you use to solve this word problem?
Goran will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $53 and costs an additional $0.11 per mile driven. The second plan has an initial fee of $40 and costs an additional $0.13 per mile driven.
y= 11x+ 53
and
y = 13x + 40
y= 53 + 40
and
y = 0.13x+ 0.11x
y= 53 + 0.13x
and
y = 40 + 0.11x
y= 0.11x+ 53
and
y = 0.13x+ 40
What two equations would you use to solve thios word problem?
A phone company offers two monthly plans. Plan A costs $28 plus an additional $0.12 for each minute of calls. Plan B has no initial fee but costs $0.17 for each minute of calls.
y= 0.12x+28
and
y = 0.17x
y= 0.12x
and
y = 28 + 0.17x
y= 28x
and
y = 0.12x + 0.17x
y= 28 + 0.17x
and
y = 0.12x
What does 'b" represent in y=mx+b
y-intercept
macaroni
nothing
slope
Another word used for slope could be....
constant
y-intercept
rate
x-intercept
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.
y = 4x + 1.50
y = 1.50x + 4
y = -4x +1.50
y = 4x - 1.50
An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=1.5x+20 where x is the number of rides you ride. What does the y intercept represent?
Number of rides
The entrance fee
The cost for food
The cost per ride
Before beginning voice lessons, Ryan already knew how to sing 7 pieces, and he expects to learn 2 new pieces during each week of lessons. Write an equation that shows the relationship between the number of weeks x and the number of pieces learned y.
y=2x+7
y=7x+2
y=x+9
y=x+14
Write the equation that represents this word problem:
Miles makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.
y= 8x + 3x
y= 3x + 8
y= 8x + 3
y= 3 + 8
Answer Not Here
Write the equation that represents this word problem:
Marsha gets a job that pays $15 per hour, and she started the week with $20
y= 15x + 20
y= 20x + 15
y= -15x + 20
y= 20 + 15
Answer Not Here
Abi is flying a helicopter! She is currently 45,000 feet in the air and descends 3,500 feet every minute. Write an equation to model this.
y=3500x+45000
y=45000x-3500
y=-3500x+45000
y=-45000x+3500
A plumber charges $50 to make a house call. He also charges $25 per hour for labor.
How much would it cost for 2.5 hours of labor?
$100
4.50
$112.50
$65.00
$123.45
When Phil started his new job, he owed the company $65 for his uniforms. He is earning $13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has y after x hours of work.
y = 13x - 65
y = 13x + 65
13x - 65y = -52
y - 65 = 13(x - 1)
Hudson is already 40 miles away from home on his drive back to college. He is driving 65 mi/h. Write an equation that models the total distance y after x hours.
y = 40x + 65
y = 65x + 40
40x + 65y = 105
y - 40 = 65(x - 0)
