Mastering Linear Equations: Slope & Intercept Insights

Quiz
•
English, Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
Anthony Clark
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1. A taxi company charges a base fare of $3 plus $2 per mile. Write a linear equation to represent the total cost (C) of a ride based on the number of miles (m) traveled. What is the slope and what does it represent?
C = 3 + 2m; Slope = 2 (cost per mile)
C = 3 + 3m; Slope = 3 (cost per mile)
C = 5 + 2m; Slope = 2 (total cost)
C = 2 + 3m; Slope = 3 (base fare)
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
2. A cell phone plan costs $30 per month plus $0.10 for each text message sent. Write the linear equation for the total cost (C) based on the number of text messages (t). What does the y-intercept represent in this context?
C = 30 + 0.05t; y-intercept represents the annual fee of $30.
C = 30 + 0.10t; y-intercept represents the monthly fee of $30.
C = 0.10t; y-intercept represents the cost per text message.
C = 30t + 0.10; y-intercept represents the total cost of texts.
Tags
CCSS.8.EE.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
3. A gardener charges a flat fee of $50 to start a landscaping project and $25 for each hour of work. Write the equation for the total cost (C) based on hours worked (h). How would you interpret the slope?
C = 50 + 50h
C = 25 + 50h
C = 50h + 25
C = 50 + 25h
Tags
CCSS.HSF.LE.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
4. A car rental company charges a daily fee of $40 plus $0.15 per mile driven. Write the equation for the total cost (C) based on miles driven (m). What does the slope indicate about the cost per mile?
C = 30 + 0.15m; the slope indicates the cost per mile is $0.15.
C = 40 + 0.15m; the slope indicates the cost per mile is $0.15.
C = 40 + 0.20m; the slope indicates the cost per mile is $0.20.
C = 40 + 0.10m; the slope indicates the cost per mile is $0.10.
Tags
CCSS.HSF.LE.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
5. A gym membership costs $20 per month plus a one-time registration fee of $50. Write the linear equation for the total cost (C) based on the number of months (m). What does the y-intercept represent?
C = 50m + 20; y-intercept represents the monthly cost of $20.
C = 20m; y-intercept represents the total cost after one month.
C = 20m + 50; y-intercept represents the registration fee of $50.
C = 50 + 20m; y-intercept represents the total cost for zero months.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
6. A delivery service charges a flat fee of $10 plus $5 for each package delivered. Write the equation for the total cost (C) based on the number of packages (p). What does the slope tell you about the cost per package?
C = 10 + 10p; The slope of 10 indicates the cost per package is $10.
C = 10 + 5p; The slope of 5 indicates the cost per package is $5.
C = 10 + 2p; The slope of 2 indicates the cost per package is $2.
C = 5 + 10p; The slope of 10 indicates the cost per package is $10.
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
7. A school is selling tickets for a play at $8 each. If they also have a fixed cost of $200 for the venue, write the equation for total revenue (R) based on the number of tickets sold (t). What does the slope represent?
R = 8t - 200; slope = 8
R = 8t + 200; slope = 8
R = 10t - 200; slope = 10
R = 5t - 200; slope = 5
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