Understanding Equivalent Equations

The video tutorial explains how to create equivalent equations that all have the same solution, x equals seven. It demonstrates four operations: dividing by six, adding seven, multiplying by negative four, and subtracting three, to transform the initial equation into new equivalent forms. Each step involves performing the operation on both sides of the equation, ensuring the solution remains consistent. The tutorial emphasizes understanding equivalent equations and applying arithmetic operations correctly.

What is the main goal of the exercise discussed in the video?

• To solve for y

• To create four different equations with the same solution

• To find the value of x

• To learn about fractions

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CCSS.HSA.REI.A.1

What is the first operation performed on the equation x = 7?

• Subtract 3

• Divide by 6

• Add 7

• Multiply by 6

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CCSS.6.EE.B.7

After dividing both sides by 6, what is the resulting equation?

• x/6 = 7/6

• x = 6/7

• x = 7/6

• x/6 = 7

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CCSS.HSA.REI.A.1

What is the second operation applied to the equation?

• Multiply by 6

• Divide by 7

• Subtract 7

• Add 7

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CCSS.5.NF.A.1

CCSS.5.NF.A.2

What is the least common denominator used to add 7 to 7/6?

• 42

• 1

• 6

• 7

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CCSS.HSA.REI.A.1

What is the third operation performed on the equation?

• Multiply by -4

• Add 4

• Divide by -4

• Subtract 4

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CCSS.7.NS.A.2A

How is the product 49/6 times -4 simplified?

• -98/3

• -196/6

• -49/3

• -98/6

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CCSS.HSA.REI.A.1

What is the final operation applied to the equation?

• Multiply by 3

• Add 3

• Divide by 3

• Subtract 3

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CCSS.7.NS.A.1C

What is the least common denominator used to subtract 3 from -98/3?

• 9

• 1

• 98

• 3

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CCSS.7.EE.B.4A

What is the final equivalent equation obtained after all operations?

• -4(x/6 + 7) - 3 = -98/3

• -4(x/6 + 7) + 3 = -107/3

• -4(x/6 + 7) - 3 = -107/3

• -4(x/6 + 7) + 3 = -98/3

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CCSS.7.EE.B.4A