
Mastering Slope: Real-World Linear Equation Challenges
Authored by Anthony Clark
English, Mathematics
8th 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 the equation for the total cost (C) in terms of miles driven (m). What is the slope and y-intercept?
C = 20 + 0.20m; Slope: 0.20, Y-intercept: 20
C = 15 + 0.15m; Slope: 0.15, Y-intercept: 15
C = 20 + 0.10m; Slope: 0.10, Y-intercept: 20
C = 20 + 0.15m; Slope: 0.15, Y-intercept: 20
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a line has a slope of 3 and passes through the point (2, 5), what is the equation of the line in slope-intercept form?
y = 3x - 5
y = 3x - 1
y = -3x + 11
y = 3x + 5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gardener is planting flowers in a straight line. If the first flower is planted at 2 feet and each subsequent flower is planted 1.5 feet apart, write the equation for the position of the nth flower. What is the slope?
position(n) = 1.5n + 0.5; slope = 1.5
position(n) = 1.5n + 1; slope = 1.5
position(n) = 1.5n + 2; slope = 1
position(n) = 2n + 0.5; slope = 2
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a fundraiser. They sell tickets for $10 each and have a fixed cost of $200. Write the equation for the total revenue (R) in terms of the number of tickets sold (t). What is the slope?
R = 5t; slope = 5
R = 200 + 10t; slope = 200
R = 10t; slope = 10
R = 10t - 200; slope = -10
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bike rental shop charges a base fee of $5 and $2 for each hour rented. Write the equation for the total cost (C) in terms of hours rented (h). What does the slope represent in this context?
C = 5 + 2h; the slope represents the cost per hour of renting the bike.
C = 5 + 3h; the slope represents the discount per hour of renting the bike.
C = 5h + 2; the slope represents the base fee of renting the bike.
C = 2h; the slope represents the total cost of the bike.
Tags
CCSS.HSF.LE.B.5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A train travels at a constant speed of 60 miles per hour. If it starts from a station at 0 miles after 0 hours, write the equation for the distance (d) in terms of time (t). What is the slope of this line?
d = 60t; slope = 30
d = 60t; slope = 60
d = 30t; slope = 30
d = 60t + 10; slope = 60
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local gym charges a monthly membership fee of $30 plus $5 for each class attended. Write the equation for the total cost (C) in terms of classes attended (c). What is the y-intercept?
30
35
25
40
Tags
CCSS.HSF.LE.B.5
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