Writing Equations from Tables: A 6th Grade Exploration

The video tutorial covers writing equations from tables, a key algebra concept. It explains the relationship between dependent and independent variables, using examples to illustrate how to derive equations through division and addition. The tutorial includes practice problems and applies these concepts to real-world scenarios, such as calculating donations based on sales. The lesson concludes with a final example, reinforcing the methods taught.

What is the dependent variable in the context of writing equations from tables?

• Both X and Y

• Neither X nor Y

• Y

• X

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CCSS.6.EE.C.9

In the first example, what operation is used to derive Y from X?

• Subtraction

• Multiplication

• Addition

• Division

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How can the equation Y = X/2 be alternatively written?

• Y = X + 2

• Y = X - 2

• Y = 2X

• Y = 1/2X

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CCSS.6.EE.C.9

In the second example, what is the rule to derive Y from X?

• Multiply X by 2

• Add 3 to X

• Subtract 3 from X

• Divide X by 2

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CCSS.8.F.A.1

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Which of the following equations correctly represents the second example?

• Y = X + 3

• Y = X/3

• Y = 3X

• Y = X - 3

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CCSS.6.EE.C.9

In the practice problems, what is the rule for the table where Y is derived by subtracting 2 from X?

• Y = X + 2

• Y = X - 2

• Y = 2X

• Y = X/2

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CCSS.8.F.A.1

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For the table where Y is derived by multiplying X by 2.5, what is the correct equation?

• Y = 2.5X

• Y = X/2.5

• Y = X + 2.5

• Y = X - 2.5

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CCSS.6.EE.C.9

In the real-world application, what is the rule to find the donation amount from the painting sale price?

• Subtract 4

• Divide by 4

• Add 4

• Multiply by 4

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CCSS.8.F.A.1

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What is the donation amount if a painting sells for $1,200?

• $600

• $300

• $400

• $500

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CCSS.6.EE.B.6

In the example involving Ryan and Kyle, what is the rule to find Kyle's age from Ryan's age?

• Divide by 5

• Multiply by 5

• Add 5

• Subtract 5

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1