
Exploring Real-Life Linear Equations and Their Slopes
Authored by Anthony Clark
English, Mathematics
7th Grade
CCSS covered

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10 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 equation to represent the total cost (C) in terms of miles driven (m). What is the slope and what does it represent?
C = 20 + 0.20m; Slope = 0.20 (cost per mile)
C = 20 + 0.10m; Slope = 0.10 (cost per mile)
C = 20 + 0.15m; Slope = 0.15 (cost per mile)
C = 15 + 0.15m; Slope = 0.15 (cost per mile)
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Maria is saving money to buy a new bike. She currently has $50 and saves $10 each week. Write a linear equation to represent her savings (S) after w weeks. What is the y-intercept and what does it represent?
S = 10w; y-intercept = 0 (no initial savings)
S = 50 + 5w; y-intercept = 50 (initial savings)
S = 50 - 10w; y-intercept = 50 (initial savings)
S = 50 + 10w; y-intercept = 50 (initial savings)
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a field trip. The cost per student is $30, and there is a fixed cost of $200 for the bus. Write a linear equation for the total cost (C) in terms of the number of students (n). What is the slope and what does it represent?
C = 30n; slope = 0
C = 30n + 200; slope = 30
C = 20n + 200; slope = 20
C = 30n + 100; slope = 30
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gardener is planting flowers in a rectangular garden. The length of the garden is 3 feet longer than twice the width. Write a linear equation to represent the length (L) in terms of the width (W). What is the slope of this equation?
The slope of the equation is 0.5
The slope of the equation is 3.
The slope of the equation is 1.
The slope of the equation is 2.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone company offers a plan that costs $25 per month plus $0.10 per text message. Write a linear equation for the total monthly cost (C) in terms of the number of text messages (t). What does the slope represent in this context?
C = 25t + 0.10; the slope represents the total cost.
C = 25 + 0.10t; the slope (0.10) represents the cost per text message.
C = 0.10 + 25t; the slope represents the monthly fee.
C = 0.10t; the slope represents the number of text messages.
Tags
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local gym charges a membership fee of $50 plus $5 for each class attended. Write a linear equation to represent the total cost (C) in terms of the number of classes (c). What is the y-intercept and what does it represent?
C = 50 + 5c; y-intercept = 50, representing the membership fee.
C = 50 + 10c; y-intercept = 50, representing the membership fee.
C = 50c + 5; y-intercept = 5, representing the cost per class.
C = 5 + 50c; y-intercept = 5, representing the total cost.
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bookstore sells notebooks for $2 each and has a fixed cost of $100 for supplies. Write a linear equation for the total revenue (R) in terms of the number of notebooks sold (n). What is the slope and what does it represent?
R = 2n; slope = 2, representing revenue per notebook sold.
R = 2n + 50; slope = 2, representing total cost per notebook sold.
R = 5n; slope = 5, representing profit per notebook sold.
R = 100 + 2n; slope = 100, representing fixed costs.
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