Linear Expressions: Graphing and Interpreting Slope
Authored by Anthony Clark
English, Mathematics
6th Grade
CCSS covered
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write a linear expression to represent the total cost (C) of renting the car for m miles. What is the slope and what does it represent in this context?
C = 20 + 0.10m; slope = 0.10, representing the total cost.
C = 20 + 0.15m; slope = 0.15, representing the cost per mile.
C = 15 + 0.15m; slope = 0.15, representing the initial cost.
C = 20 + 0.20m; slope = 0.20, representing the flat fee.
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a gardener plants 5 rows of flowers with 8 flowers in each row, and then adds 3 more flowers, write a linear expression for the total number of flowers (F) as a function of the number of rows (r). What is the slope of this expression?
F = 5r + 3; slope = 5
F = 10r + 3; slope = 10
F = 8r + 5; slope = 5
F = 8r + 3; slope = 8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone company offers a plan that costs $30 per month plus $0.10 per text message sent. Write a linear expression for the total monthly cost (C) based on the number of text messages (t) sent. What does the y-intercept represent?
C = 30 + 0.10t; The y-intercept represents the base monthly cost of the plan.
C = 0.10 + 30t; The y-intercept represents the cost per text message.
C = 30t; The y-intercept represents the total cost of text messages.
C = 30 + 0.05t; The y-intercept represents the number of text messages sent.
Tags
CCSS.HSF.LE.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A store sells notebooks for $2 each and pens for $1 each. If a student buys n notebooks and p pens, write a linear expression for the total cost (C). How would you interpret the slope in this scenario?
C = 2n + 1p
C = 2n + 2p
C = 3n + 2p
C = n + 2p
Tags
CCSS.HSF.LE.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bike rental shop charges a base fee of $15 plus $5 for each hour rented. Write a linear expression for the total cost (C) based on the number of hours (h) rented. What does the slope indicate about the cost?
C = 15h; the slope indicates the cost remains constant regardless of hours rented.
C = 5h; the slope indicates the cost increases by $15 for each additional hour rented.
C = 15 + 10h; the slope indicates the cost decreases by $10 for each additional hour rented.
C = 15 + 5h; the slope indicates the cost increases by $5 for each additional hour rented.
Tags
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local gym charges a membership fee of $50 plus $10 for each class attended. Write a linear expression for the total cost (C) based on the number of classes (c) attended. How would you graph this situation?
C = 50 + 5c
C = 10c
C = 50 + 10c
C = 50 - 10c
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a flat fee of $5 plus $2 for each package delivered. Write a linear expression for the total cost (C) based on the number of packages (p) delivered. What does the y-intercept represent?
C = 2p; y-intercept represents the total cost of delivery.
C = 5p + 2; y-intercept represents the cost per package.
C = 5 + 2p; y-intercept represents the flat fee of $5.
C = 10 + 2p; y-intercept represents a discount on the delivery fee.
Tags
CCSS.HSF.LE.B.5
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