Solve Two-Step Equations

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What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Tags

CCSS.7.EE.B.4A

Front

What is the first step to solve the equation -3x + 8 = 20?

Back

The first step is to isolate the term with the variable by subtracting 8 from both sides.

Tags

CCSS.7.EE.B.4A

Front

What is the result of subtracting 8 from both sides of -3x + 8 = 20?

Back

The result is -3x = 12.

Tags

CCSS.7.EE.B.4A

Front

How do you isolate the variable x in the equation -3x = 12?

Back

You isolate x by dividing both sides by -3.

Tags

CCSS.6.EE.B.7

Front

What is the solution for x in the equation -3x = 12?

Back

x = -4.

Tags

CCSS.6.EE.B.7

Front

What does it mean to 'isolate the variable' in an equation?

Back

To isolate the variable means to manipulate the equation so that the variable is on one side by itself.

Tags

CCSS.7.EE.B.4A

Front

What is the purpose of solving two-step equations?

Back

The purpose is to find the value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

Front

What is an example of a two-step equation?

Back

An example is 2x + 5 = 15.

Tags

CCSS.7.EE.B.4A

Front

How do you check if your solution to a two-step equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Tags

CCSS.HSA.REI.A.1

Front

What is the solution to the equation 2x + 5 = 15?

Back

x = 5.

Tags

CCSS.7.EE.B.4A