Variables on Both Sides Equations

Front

What is a variable in an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

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

Back

The first step is to simplify both sides of the equation, if necessary, and then move all terms involving the variable to one side.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the principle of equality in solving equations?

Back

The principle of equality states that if you perform the same operation on both sides of an equation, the two sides remain equal.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the significance of the solution in an equation?

Back

The solution represents the value of the variable that satisfies the equation, making both sides equal.

Front

What is a linear equation?

Back

A linear equation is an equation that can be written in the form ax + b = c, where a, b, and c are constants.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.