Mastering Linear Equations: Slope & Intercept Insights

Mastering Linear Equations: Slope & Intercept Insights

8th Grade

10 Qs

quiz-placeholder

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Mastering Linear Equations: Slope & Intercept Insights

Mastering Linear Equations: Slope & Intercept Insights

Assessment

Quiz

English, Mathematics

8th Grade

Hard

CCSS
HSF.LE.B.5, 8.F.B.4, 8.EE.B.5

+1

Standards-aligned

Created by

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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