One-Step Equations

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What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically by performing the same operation on both sides of the equation.

Tags

CCSS.6.EE.B.7

Front

How do you represent a situation where a person earns a certain amount per hour for a total amount earned?

Back

You can represent this situation with the equation: hourly_rate * hours_worked = total_earned.

Tags

CCSS.HSA.CED.A.3

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What is the first step to solve the equation 2b = -16?

Back

Divide both sides of the equation by 2.

Tags

CCSS.6.EE.B.7

Front

What is the process to isolate a variable in an equation?

Back

To isolate a variable, you need to perform inverse operations to get the variable by itself on one side of the equation.

Tags

CCSS.6.EE.B.7

Front

How do you solve the equation x + 5 = 12?

Back

Subtract 5 from both sides of the equation.

Tags

CCSS.6.EE.B.7

Front

What does it mean to 'get the variable by itself' in an equation?

Back

It means to manipulate the equation so that the variable is alone on one side, allowing you to find its value.

Tags

CCSS.6.EE.B.7

Front

What equation represents the situation: Robyn had some video games then bought 4 more, and now she has a total of 10 games?

Back

The equation is v + 4 = 10, where v represents the number of video games Robyn initially had.

Tags

CCSS.HSA.CED.A.3

Front

What is the importance of performing the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation.

Tags

CCSS.HSA.REI.A.1

Front

What is the solution to the equation 8h = 96?

Back

The solution is h = 12, found by dividing both sides by 8.

Tags

CCSS.6.EE.B.7

Front

What is the first step in solving the equation 3x - 7 = 11?

Back

Add 7 to both sides of the equation.

Tags

CCSS.7.EE.B.4A