Which answer best explains why the “divide each side by $$x$$ step” is unacceptable?

When you divide both sides of $$2x = 6x$$ by $$x$$ it could lead us to think that there is no solution while in fact the solution is $$x = 0$$ .

When you divide both sides of $$2x = 6x$$ by $$x$$ you get $$2x^2 = 6x^2$$ .

When you divide both sides of $$2x = 6x$$ by $$x$$ you get $$2 = 6x$$ .

When you divide both sides of $$2x = 6x$$ by $$x$$ it could lead us to think that there is no solution while in fact the solution is $$x = 3$$ .

Algebra 1 | Unit 2 | Lesson 9: Which Variable to Solve for? (Part 2) | Practice Problems

Authored by Illustrative Mathematics

Mathematics

6th Grade

CCSS covered

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Algebra 1 | Unit 2 | Lesson 9: Which Variable to Solve for? (Part 2) | Practice Problems

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MULTIPLE SELECT QUESTION

30 sec • 1 pt

15 gallons

10 gallons

2.5 gallons

90 miles

246 miles

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CCSS.6.EE.C.9

OPEN ENDED QUESTION

3 mins • 1 pt

Write an equation that makes it easy to find the width of the rectangle if we know the area and the length.

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CCSS.6.EE.B.7

MULTIPLE SELECT QUESTION

30 sec • 1 pt

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CCSS.6.EE.C.9

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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CCSS.HSA.CED.A.4

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3 mins • 1 pt

The data represents the number of hours 10 students slept on Sunday night. Are there any outliers? Explain your reasoning.

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