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WorksheetsSlope and Linear Equations Review
Total questions: 109
Worksheet time: 55hrs 30mins
What is the slope of the line that passes through the points (4, 9) and (1, 6)?
1
-3
3
-1
What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?
1/2
-1/2
2
-2
Negative
What is the slope of :
m=31
m=3
m=−31
m=−3
What is the slope of :
m=31
m=3
m=−31
m=−3
state the slope:
m=54
m=−54
m=45
m=−45
What is the slope of the graph?
y = 3x -5
Find the slope from the table.
1/4
-1/4
-4
4
What is the y-intercept of the line?
1/2
1
-1/2
-1
y=0.5x+10
What does the slope of the graph of this equation represent?
The table represents a used car salesman's monthly salary including commission made on the sale of cars. What is the y-intercept and what does it represent?
The y-intercept is $850/car and it represents the commission per car sold.
The y-intercept is $1500/car and it represents the commission per car sold.
The y-intercept is $1500 and it represents the monthly salary before selling any cars.
The y-intercept is $2775 and it represents the monthly salary before commission.
The graph shows the weight of a bucket as it is filled with sand. What is the weight of the empty bucket?
0 pounds
1 pound
2 pounds
6 pounds
What is the slope of this graph?
m = 21
m = -1
m = 1
m = −55
What is the y-intercept of this graph?
6 fish remaining
5 fish remaining
4 fish remaining
0 fish remaining
How many fish are remaining after Ron sold 2 fish?
they all swam away
3 fish remaining
1 fish remaing
2/3 fish remaining
What is the slope of the graph?
m=8
m=−530
m =−540
m=−8
Which label is your y-axis?
Jelly remaining (ounces)
Number of sandwiches made
The y-intercept is wherever the linear graph crosses the _____.
taxes
y-axis
x-axis
z-axis
c=6 1m
c=6m
c=301m
c=30m
A
B
C
D
You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $2 each and hats for Among Us cost $3 each. How would you interpret the x and y intercepts?
You bought $18 worth of Uber Eats credits and 0 hats for Among Us
You bought $0 worth of Uber Eats credits and $18 worth of hats for Among Us
You bought $2 worth of Uber Eats credits and 3 hats for Among Us
You bought $9 worth of Uber Eats credits and 6 hats for Among Us
F
G
H
J
Interpret the slope of the line y=−2x+3 in the context of a real-world scenario where y represents the temperature in degrees Celsius and x represents time in hours.
The temperature decreases by 2 degrees Celsius every hour.
The temperature increases by 2 degrees Celsius every hour.
The temperature remains constant.
The temperature decreases by 3 degrees Celsius every hour.
Interpret the slope of the line y=4x−5 in the context of a real-world scenario where y represents the height of a plant in centimeters and x represents time in weeks.
The height of the plant decreases by 4 centimeters every week.
The height of the plant increases by 4 centimeters every week.
The height of the plant remains constant.
The height of the plant decreases by 5 centimeters every week.
Interpret the y-intercept of the line y=4x+7 in the context of a real-world scenario where y represents the total cost in dollars and x represents the number of items purchased.
The cost per item is $7.
The initial cost is $4.
The initial cost is $7.
The cost per item is $4.
Interpret the slope of the line y=45x−2 in the context of a real-world scenario where y represents the distance traveled in kilometers and x represents time in hours.
The distance traveled decreases by 5 kilometers every 4 hours.
The distance traveled increases by 5 kilometers every 4 hours.
The distance traveled increases by 4 kilometers every 5 hours.
The distance traveled decreases by 4 kilometers every 5 hours.
Interpret the y-intercept of the line y=32x+10 in the context of a real-world scenario where y represents the height of a plant in centimeters and x represents the number of weeks.
The initial height of the plant is 10 centimeters.
The height of the plant decreases by 3 centimeters every week.
The initial height of the plant is 3 centimeters.
The height of the plant increases by 10 centimeters every week.
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. What is the slope and y-intercept of the cost function?
Slope: 0.20, Y-intercept: 100
Slope: 0.50, Y-intercept: 20
Slope: 0.10, Y-intercept: 50
Slope: 0.20, Y-intercept: 50
A gym charges a monthly membership fee of $30 and an additional $5 for each class attended. What does the slope represent in this scenario?
The slope represents the total monthly fee of $30.
The slope represents the annual membership fee of $360.
The slope represents the cost per class attended, which is $5.
The slope represents the number of classes attended each month.
A phone plan costs $40 per month plus $0.10 per text message. If you graph the total cost against the number of text messages, what does the y-intercept represent?
$40
$40 plus $0.05 per text message
$10
$0
A delivery service charges a base fee of $15 and $2 for each mile driven. If you were to graph this relationship, what would the slope indicate?
The slope indicates the cost per mile driven, which is $2.
The slope indicates the total cost of the delivery service.
The slope represents the base fee of $15.
The slope shows the distance traveled in miles.
A school is selling tickets for a play at $10 each. If they sell 100 tickets, what is the slope of the line representing total sales?
100
15
10
5
A water company charges a fixed fee of $25 plus $1.50 for every 100 gallons used. What does the y-intercept represent in this context?
The y-intercept represents the fixed fee of $25.
The y-intercept represents the maximum charge for water usage.
The y-intercept represents the cost per gallon used.
The y-intercept represents the total cost for 100 gallons.
A taxi service charges a base fare of $3 plus $2 for each mile driven. If you were to graph the cost, what does the slope tell you about the pricing?
The slope shows that the cost decreases by $2 for each mile driven.
The slope indicates a flat rate charge regardless of distance.
The slope represents a one-time fee of $5 for any distance.
The slope indicates that the cost increases by $2 for each mile driven.
A subscription service costs $15 per month plus a one-time fee of $50. What does the y-intercept represent in this pricing model?
The y-intercept represents the monthly subscription cost of $15.
The y-intercept represents the total cost after one year.
The y-intercept represents the cost of the service after cancellation.
The y-intercept represents the one-time fee of $50.
A local farmer sells apples for $2 per pound. If the total cost is graphed against the number of pounds, what does the slope represent?
The slope represents the total weight of apples sold.
The slope represents the number of apples sold per dollar.
The slope represents the profit made per pound of apples.
The slope represents the cost per pound of apples, which is $2.
A concert ticket costs $50 plus a $5 service fee. If you graph the total cost against the number of tickets purchased, what does the y-intercept indicate?
The y-intercept indicates a total cost of $50.
The y-intercept indicates a total cost of $0.
The y-intercept indicates a total cost of $55.
The y-intercept indicates a total cost of $5.
An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost, C, of the electrician's services can be determined using the function C=65t+70, where t is the number of hours the electrician spends at the house working.
What is theY-INTERCEPT of the function and what is its interpretation in the context of the problem?
70; which represents the total cost for all services.
70; which represents the set fee for the house call.
65; which represents the total cost for all services.
65; which represents the set fee for the house call.
When Landon left his house in the morning, his cell phone battery was partially charged. The charge remaining in Landon's battery,B, as a percentage, can be modeled by the function B=-5t+30, where t is the number of hours since Landon left his house.
What is the y-intercept of the function and what is its interpretation in the context of the problem?
30; the number of house until Landon's phone dies.
-5; the charge of the battery when Landon woke up.
30; the charge of the battery when Landon left his house.
-5; the percentage of battery Landon's phone loses each hour.
Samantha is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The function C=125p+400
can be used to determine the total cost,C, in dollars, of producing,p, phones in a given day.
What is the meaning of the slope in the context of the problem?
the total cost to produce all phones
the number of phones produced per day
the additional cost to produce each phone
the number of days to produce all of the phones
Brandon filled up his car with gas before embarking on a road trip across the country. The number of gallons of gas remaining in his gas tank after t hours of driving can be determined using the equation
G=−1.5t+15.
What is the meaning of the slope of the equation in the context of the problem?
the number of gallons of gas used per mile
the initial amount of gas in the tank
the number of gallons of gas used per hour driven
the number of hours driven until the gas tank is empty
Bonnie pays a monthly fee of $80 at the health club and an additional $9 every time she attends a yoga class. Which expression below shows her total cost T if she attends y yoga classes this month?
T = 80 + 9y
T = 80y + 9
T = 80 + 9 + y
T = (80+9)y
Yvette has a home-based business putting on children's parties. She charges $55 to design the party and then $4 per child. Write a function rule that relates the total cost of the party to the number of children n.
f(n) = 4 + 55n
f(n) = 4 - 55n
f(n) = 4n - 55
f(n) = 55 + 4n
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.
y = 8x + 50
C = 50m +8
y = 50x + 8
C = 8m + 50
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.
Bob has $150 in his savings account and saves $40 per month.
y=150 + 40
y=40x + 150
y=150x + 40
A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte. If d represents the number of additional megabytes used and c represents the total charges at the end of the month, which linear equation can be used to determine a user's monthly bill?
c = 60 − 0.05d
c = 60.05d
c = 60d − 0.05
c = 60 + 0.05d
Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult tickets and 12 student tickets. Write an equation, C, to represent how much money Alex collected from selling tickets.
C= $6.50x + $4.00(12)
C= $6.50(12) +$4.00x
C=$6.50x+$4.00x +12
C=$10.50x+12
Peyton is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership, C, over t
months whose graph is shown below.
Write an equation for C in terms of t. (hint: use y=mx+b)
C=40t+150
C=-40t+150
C=50t+150
C=50t-150
When Isabella left her house in the morning, her cell phone battery was partially charged. The charge remaining in Isabella's battery,B, a as a percentage can be modeled by the graph shown below where t represents the time.
Write an equation using slope-intercept form to model this situation.
B= 90t+10
B=10t+90
B=-10t+90
B=-90t+10
