Solving Multi-Step Equations

The video tutorial explains how to solve multi-step equations without using the distributive property. It covers combining like terms, using inverse operations to move variables and constants, and provides three examples to illustrate these concepts. The tutorial concludes with a review of the steps involved in solving such equations.

What is the first step in solving multi-step equations without the distributive property?

• Add constants to both sides

• Move variables to the right side

• Use inverse operations

• Combine like terms on both sides

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CCSS.HSA.REI.A.1

In the first example, what operation is used to move 8x to the left side?

• Division

• Multiplication

• Subtraction

• Addition

Tags

CCSS.7.EE.B.4A

What is the value of x in the first example after solving the equation?

• -5

• 5

• -6

• 6

Tags

CCSS.7.EE.A.1

In the second example, what is the result of combining -x and 6x?

• 5x

• 7x

• 4x

• 3x

Tags

CCSS.8.EE.C.7B

What is the final value of x in the second example?

• 3

• 5

• 2

• 4

Tags

CCSS.7.EE.A.1

In the third example, what is the result of combining 4x and -2x?

• 3x

• 2x

• x

• 0

Tags

CCSS.8.EE.C.7B

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

• 4

• 5

• 3

• 2

Tags

CCSS.HSA.REI.A.1

Which operation is used to isolate the variable in the third example?

• Multiplication

• Subtraction

• Addition

• Division

Tags

CCSS.7.EE.B.4A

What is the purpose of using inverse operations in solving equations?

• To isolate the variable

• To add constants

• To eliminate variables

• To simplify the equation

Tags

CCSS.8.EE.C.7B

What should you do if there are parentheses in a multi-step equation?

• Distribute

• Use inverse operations

• Ignore them

• Combine like terms

Tags

CCSS.8.EE.C.7B