Solving Linear Word Problems: Slope & Intercept Insights
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 car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form and identify the slope and y-intercept.
C = 0.20m + 15; slope = 0.20, y-intercept = 15
C = 0.15m + 20; slope = 0.15, y-intercept = 20
C = 0.15m + 30; slope = 0.15, y-intercept = 30
C = 0.10m + 25; slope = 0.10, y-intercept = 25
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A gym charges a monthly fee of $30 plus $5 for each class attended. Write the equation for the total cost in slope-intercept form and explain the meaning of the slope.
C = 30x + 5
C = 5x
C = 30 + 10x
C = 30 + 5x
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone plan costs $25 per month plus $0.10 per text message. Write the equation in slope-intercept form and interpret the y-intercept.
y = 0.25x + 10; y-intercept is 10, meaning a discount on the plan.
y = 0.10x + 25; y-intercept is 25, meaning the base cost of the plan.
y = 0.10x + 15; y-intercept is 15, meaning a lower base cost.
y = 25x + 0.10; y-intercept is 0.10, meaning the cost per text.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A delivery service charges a base fee of $10 plus $2 for each mile driven. Write the equation in slope-intercept form and graph it. What does the slope represent?
y = 2x; The slope represents the base fee.
y = 10x + 2; The slope represents the total cost.
y = 5x + 10; The slope represents the cost per mile driven, which is $5.
y = 2x + 10; The slope represents the cost per mile driven, which is $2.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is selling tickets for a play at $8 each. If they have a fixed cost of $200 for the venue, write the equation for total revenue in slope-intercept form and identify the y-intercept.
R = 8q, y-intercept = 0
R = 200 + 8q, y-intercept = 200
R = 8q + 200, y-intercept = 200
R = 8q - 200, y-intercept = -200
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A subscription service charges $12 per month plus a one-time fee of $50. Write the equation in slope-intercept form and interpret the y-intercept.
C = 50m + 12; y-intercept is $12.
C = 12m + 50; y-intercept is $12.
C = 12m + 100; y-intercept is $100.
C = 12m + 50; y-intercept is $50.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A taxi service charges a base fare of $5 plus $2 for each mile driven. Write the equation in slope-intercept form and explain the meaning of the y-intercept.
y = 5x + 2; The y-intercept (2) means the cost per mile.
y = 5 + 2x; The y-intercept (2) represents the total fare after 1 mile.
y = 2x - 5; The y-intercept (-5) indicates a discount on the base fare.
y = 2x + 5; The y-intercept (5) means the base fare charged by the taxi service.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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