Search Header Logo

Slope-Intercept Equations and Systems: Grade 8 Challenge

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Slope-Intercept Equations and Systems: Grade 8 Challenge
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form for the total cost (C) based on miles driven (m). What is the slope and intercept?

Slope: 0.25, Intercept: 25

Slope: 0.30, Intercept: 20

Slope: 0.10, Intercept: 30

Slope: 0.20, Intercept: 30

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A local gym charges a monthly fee of $25 plus $5 for each class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended. Identify the slope and intercept.

C = 20c + 25; slope = 20, intercept = 25

C = 5c + 25; slope = 5, intercept = 25

C = 10c + 15; slope = 10, intercept = 15

C = 5c + 30; slope = 5, intercept = 30

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two friends are saving money for a concert. Friend A saves $10 a week, while Friend B saves $15 a week. Write a system of equations to represent their savings over time. What is the slope and intercept for each friend?

Friend A: slope = 10, intercept = 5; Friend B: slope = 15, intercept = 5.

Friend A: slope = 5, intercept = 0; Friend B: slope = 10, intercept = 0.

Friend A: slope = 20, intercept = 0; Friend B: slope = 15, intercept = 10.

Friend A: slope = 10, intercept = 0; Friend B: slope = 15, intercept = 0.

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A phone plan costs $40 per month plus $0.10 per text message. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (t) sent. Identify the slope and intercept.

C = 0.05t + 40; slope = 0.05, intercept = 40

C = 40t + 0.10; slope = 40, intercept = 0.10

C = 0.10t + 40; slope = 0.10, intercept = 40

C = 0.10t + 20; slope = 0.10, intercept = 20

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 10 items for $24, write a system of equations to represent the situation. What are the slopes and intercepts of the equations?

x + y = 8 and 3x + 2y = 20

The system of equations is: x + y = 10 and 3x + 2y = 24. Slopes: -1 (first equation), -1.5 (second equation). Intercepts: 10 (first equation), 12 (second equation).

x + y = 10 and 2x + 3y = 24

x + y = 12 and 3x + 2y = 30

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is selling tickets for a play. Adult tickets are $12 and student tickets are $8. If they sell a total of 50 tickets for $480, write a system of equations to represent the situation. Identify the slope and intercept for each equation.

x + y = 50; 12x + 10y = 480; Slope and intercept for first: -1, 50; for second: -1.2, 48.

x + y = 50; 12x + 8y = 480; Slope and intercept for first: -1, 50; for second: -1.5, 60.

x + y = 60; 12x + 8y = 480; Slope and intercept for first: -1, 60; for second: -1.5, 50.

x + y = 50; 10x + 8y = 480; Slope and intercept for first: -1, 50; for second: -1.25, 60.

Tags

CCSS.8.EE.C.8C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A taxi company charges a base fare of $5 plus $2 per mile. Write the equation in slope-intercept form for the total fare (F) based on miles driven (m). What is the slope and intercept?

Slope: 5, Intercept: 2

Slope: 0, Intercept: 5

Slope: 2, Intercept: 5

Slope: 2, Intercept: 10

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?