Word Problems into Equations with variables on both sides

Front

What is a variable in an equation?

Back

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

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.

Front

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

Back

It means that the equation contains variables on both the left and right sides, requiring manipulation to solve for the variable.

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 an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

What does it mean to 'solve' an equation?

Back

To find the value(s) of the variable(s) that make the equation true.

Front

What is a coefficient?

Back

A numerical factor that multiplies a variable in an algebraic expression.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers and variables without an equality sign, while an equation includes an equality sign.

Front

How can you check if your solution to an equation is correct?

Back

By substituting the solution back into the original equation to see if both sides are equal.