The aquarium is draining a large fish tank. The pump they are using can drain 24 gallons per hour. After 3 hours, there are 78 gallons left in the tank. Write an equation in slope-intercept form to model the water left in the tank, y, after x hours of draining. How many gallons were originally in the tank?

$$y=-24x+150$$ ; there was 150 gal in the tank initially

$$y=-24x+78$$ ; there was 78 gal in the tank initially

$$y=24x-150$$ ; there was 150 gal in the tank initially

$$y=150x-24$$ ; there was 24 gal in the tank initially

Allie orders candles from an online company that offers flat rate shipping. She placed an order for 4 candles for $35. A few months later, she placed an order for 12 candles for $95. Write an equation in point-slope form to model the total cost, y, for ordering x candles. How much is shipping?

$$y-35=7.5\left(x-4\right)$$ ; shipping is $5

$$y+35=7.5\left(x+4\right)$$ ; shipping is $7.50

$$y-95=7.5\left(x-12\right)$$ ; shipping is $7.50

$$y+95=7.5\left(x+12\right)$$ ; shipping is $5

Starting at sunrise, the temperature rose 2.5⁰ every hour. After 8 hours, the temperature was 67⁰. Write an equation in point-slope form to model the temperature, y, after x hours after sunrise. If sunrise was at 6:00 AM, what is the temperature at noon?

y−67=2.5(x−8); the temperature was 62⁰ at noon

y+67=2.5(x+8) ; the temperature was 62⁰ at noon

y−67=2.5(x−8); the temperature was 77⁰ at noon

y−8=2.5(x−67); the temperature was 77⁰ at noon

Linear Equations in X

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

Content View

Student View

15 questions

Show all answers

DRAW QUESTION

1 min • 1 pt

Create a linear equation that has x = 5 as a solution.

DRAW QUESTION

1 min • 1 pt

Does x = 4 make the equation 2x + 16 = 3x + 12 true?

Tags

CCSS.6.EE.B.5

DRAW QUESTION

1 min • 1 pt

Is 2 a solution to the linear equation -3x -10 = 2(x + 1) - 2? Show your work.

Tags

CCSS.6.EE.B.5

DRAW QUESTION

1 min • 1 pt

Create a linear equation that has -1 as a solution.

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Yes

Tags

CCSS.6.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Does x = 12 satisfy the equation

Yes

Tags

CCSS.6.EE.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

11 questions

Pythagoras in ebenen Figuren

Quiz

•

7th - 8th Grade

10 questions

MGSE.7.G2 (Triangles)

Quiz

•

KG - University

20 questions

Linear Relationships Review

Quiz

•

8th - 9th Grade

10 questions

Quiz Relasi dan Fungsi

Quiz

•

8th Grade

10 questions

Simplificación de radicales

Quiz

•

8th - 9th Grade

12 questions

Tabuada do 4

Quiz

•

2nd - 9th Grade

11 questions

Potenciación

Quiz

•

1st - 12th Grade

20 questions

Integer, Multiplication 4-5

Quiz

•

6th - 8th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

29 questions

Alg. 1 Section 5.1 Coordinate Plane

Quiz

•

9th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

11 questions

FOREST Effective communication

Lesson

•

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

Discover more resources for Mathematics

14 questions

finding slope from a graph

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

8 questions

8th U6L1: Organizing Data

Quiz

•

8th Grade

20 questions

Slope from a Graph

Quiz

•

8th Grade

12 questions

8th U5 Test Review: Functions & Volume

Quiz

•

8th Grade

20 questions

Slope Intercept Form

Quiz

•

7th - 8th Grade

20 questions

Angle Relationships

Quiz

•

6th - 8th Grade

14 questions

Estimate and Classify Real Numbers

Quiz

•

8th Grade

Linear Equations in X

Create a linear equation that has x = 5 as a solution.

Does x = 4 make the equation 2x + 16 = 3x + 12 true?

Is 2 a solution to the linear equation -3x -10 = 2(x + 1) - 2? Show your work.

Create a linear equation that has -1 as a solution.

Does x = 12 satisfy the equation

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

Write a line equation in standard form given the point and slope: (3, -8); slope = -3

Write an equation in slope-intercept form given the point and slope: (-4, -7); slope = 1

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics