Solving Equations for x

The video tutorial explains how to solve an equation for x by isolating x on one side. It begins with simplifying both sides, focusing on the left side by combining like terms and handling negative multiplication. The tutorial then demonstrates solving for x by multiplying by the reciprocal instead of dividing, simplifying the equation further by canceling common factors. The final solution is presented as x equals y divided by 135.

What is the first step in solving an equation for x?

• Add 10 to both sides

• Subtract 5 from both sides

• Isolate x on one side

• Multiply both sides by 2

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CCSS.7.EE.A.1

How do you simplify x - 7x?

• 7x

• -6x

• 0

• 8x

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CCSS.HSA.APR.A.1

What is the result of multiplying -6 by -6x?

• 36x

• -36x

• -12x

• 12x

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CCSS.7.EE.A.1

What do you get when you combine 4x and 36x?

• 30x

• 40x

• 50x

• 10x

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CCSS.7.EE.A.1

What is the reciprocal of 40?

• 1/40

• 40

• 1/4

• 4

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CCSS.HSA.REI.A.1

Why do we multiply both sides by 1/40 instead of dividing by 40?

• To eliminate x

• To simplify the fraction on the right

• To add a constant

• To make the equation more complex

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CCSS.5.NF.B.6

What common factor is found between the numerator and denominator before multiplying?

• 5

• 10

• 8

• 27

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CCSS.6.EE.C.9

What is the final expression for x in terms of y?

• x = y/27

• x = 135/y

• x = 27/y

• x = y/135

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CCSS.6.EE.C.9

What is the denominator when y is divided by 135?

• 135

• 40

• 5

• 27

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CCSS.7.EE.B.4A

What is the purpose of simplifying the equation?

• To make it more complex

• To isolate y

• To isolate x

• To add more variables

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CCSS.7.EE.B.4A