Word problems: variables on both sides

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Tags

CCSS.6.EE.A.2B

Front

What does it mean to solve an equation with variables on both sides?

Back

It means to find the value of the variable that makes both sides of the equation equal, often requiring rearranging the equation.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

Front

What is a two-step equation?

Back

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

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 5 + 4x = 25?

Back

The first step is to subtract 5 from both sides of the equation.

Tags

CCSS.7.EE.B.4A

Front

What is the purpose of writing an equation for a word problem?

Back

The purpose is to translate a real-world scenario into a mathematical expression that can be solved.

Front

How do you determine if two expressions are equal in a word problem?

Back

You set the two expressions equal to each other and solve for the variable.

Tags

CCSS.7.EE.B.4A

Front

What does it mean for two costs to be equal in a word problem?

Back

It means that the total expenses from two different scenarios are the same, allowing for comparison.

Tags

CCSS.8.EE.C.8C

Front

What is the significance of the coefficients in an equation?

Back

Coefficients represent the number of units of the variable and affect the slope of the equation when graphed.

Tags

CCSS.8.EE.B.5

Front

How can you check your solution after solving an equation?

Back

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

Tags

CCSS.8.EE.C.7B