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

8th Grade

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15 Qs

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Linear Equations in X

Quiz

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Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

6.EE.B.5, 8.EE.C.7A, 8.F.B.4

Standards-aligned

Anthony Clark

FREE Resource

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

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Linear Equations in X

15 questions

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

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