Variables on Both Sides

Front

What is a variable in algebra?

Back

A symbol used to represent an unknown value in mathematical expressions and equations.

Tags

CCSS.6.EE.A.2B

Front

What does it mean to have variables on both sides of an equation?

Back

It means that there are unknowns represented by variables on both the left and right sides of the equation, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving an equation with variables on both sides?

Back

Combine like terms and move all variable terms to one side of the equation.

Front

What is the purpose of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation and is correct.

Front

What is a linear equation?

Back

An equation that represents a straight line when graphed, typically in the form y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

What is the solution to an equation?

Back

The value of the variable that makes the equation true.

Front

What is the significance of the equal sign in an equation?

Back

It indicates that the expressions on both sides of the equation are equivalent.

Tags

CCSS.HSA.REI.A.1