Understanding Two-Step Equations

The video tutorial explains how to solve two-step equations by isolating variables on one side of the equation and numbers on the other. It emphasizes the importance of performing the same operations on both sides of the equation. The tutorial includes three example problems, demonstrating the use of subtraction, multiplication, and division to solve equations with variables and fractions.

What is the first step in solving a two-step equation?

• Add the same number to both sides

• Multiply both sides by the same number

• Isolate the variable on one side

• Divide both sides by the same number

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CCSS.7.EE.B.4A

When solving a two-step equation, what must you do to both sides of the equation?

• Only change the variable side

• Ignore one side

• Perform different operations

• Perform the same operation

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CCSS.6.EE.B.7

In the first example, what operation is used to eliminate the number added to the variable?

• Addition

• Division

• Multiplication

• Subtraction

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CCSS.HSA.REI.A.1

What operation is used to solve for the variable after eliminating the addition in the first example?

• Division

• Addition

• Multiplication

• Subtraction

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CCSS.6.EE.B.7

In the second example, what is the result after subtracting 2 from both sides?

• 20

• 21

• 23

• 19

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CCSS.HSA.REI.A.1

What operation is used to isolate the variable in the second example after subtraction?

• Multiplication

• Subtraction

• Addition

• Division

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CCSS.2.MD.B.6

CCSS.1.NBT.C.4

In the third example, what is the result of 75 minus 5?

• 70

• 65

• 60

• 80

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CCSS.HSA.REI.A.1

What operation is used to solve for the variable in the third example after subtraction?

• Addition

• Multiplication

• Subtraction

• Division

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CCSS.6.EE.A.2C

What is the final value of the variable in the third example?

• 18

• 12

• 14

• 16

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CCSS.7.EE.B.4A

What is the key takeaway from solving two-step equations?

• Ignore the variable side

• Perform the same operation on both sides

• Always subtract from both sides

• Always add to both sides

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CCSS.7.EE.B.4A