
Linear Equations: Slope, Intercept & Real-World Applications
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered

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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local bakery sells cupcakes for $2 each and cookies for $3 each. If the total revenue from selling cupcakes and cookies is $120, write a standard form equation to represent this situation. What is the slope and y-intercept of the equation?
Standard form: 3x + 2y = 120; Slope: -3/2; Y-intercept: 60
Standard form: 2x + 3y = 120; Slope: -2/3; Y-intercept: 40
Standard form: 2x + 5y = 120; Slope: -2/5; Y-intercept: 24
Standard form: x + y = 120; Slope: -1; Y-intercept: 120
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a standard form equation for the total cost based on miles driven. What does the slope represent in this context?
C = 0.20 + 50m; the slope represents the number of miles driven.
C = 50 + 0.50m; the slope represents the total cost.
C = 50 + 0.20m; the slope represents the cost per mile driven.
C = 50m; the slope represents the flat fee.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a field trip and has a budget of $500. The cost per student is $25. Write a standard form equation to represent the number of students that can attend. How would you graph this equation?
30x = 500
20x = 500
25x + 100 = 500
25x = 500
Tags
CCSS.6.EE.B.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer has a total of 100 animals consisting of cows and chickens. If cows are represented by x and chickens by y, write a standard form equation for this scenario. Identify the slope and intercept of the equation.
Standard form equation: x + y = 100; Slope: -1; Y-intercept: 0
Standard form equation: 2x + 3y = 100; Slope: 2; Y-intercept: 33.33
Standard form equation: x - y = 100; Slope: 1; Y-intercept: 100
Standard form equation: -x + y = 100; Slope: 1; Y-intercept: 100
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert venue has a seating capacity of 300. If tickets are sold for $15 each, write a standard form equation to represent the total revenue based on the number of tickets sold. What is the slope of this equation?
The slope of the equation is 15.
The slope of the equation is 30.
The slope of the equation is 20.
The slope of the equation is 5.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bookstore sells novels for $10 and textbooks for $20. If the total sales amount to $200, write a standard form equation to represent this situation. What is the y-intercept of the equation?
5
10
15
25
Tags
CCSS.8.EE.C.8C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A taxi company charges a base fare of $3 plus $2 per mile. Write a standard form equation for the total fare based on miles traveled. What does the slope indicate in this scenario?
F = 3 + 3m; The slope (3) indicates the total fare charged by the taxi company.
F = 3 + 2m; The slope (2) indicates the cost per mile charged by the taxi company.
F = 2 + 3m; The slope (3) indicates the base fare charged by the taxi company.
F = 5 + 2m; The slope (2) indicates the distance traveled by the taxi.
Tags
CCSS.HSF.LE.B.5
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