Variable on Both Sides with Combining Practice - A

Front

What is a variable in an equation?

Back

A symbol, often represented by a letter, that stands for a number that can change or vary.

Front

What does it mean to combine like terms?

Back

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

Front

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

Back

Identify and isolate the variable by moving all terms containing the variable to one side of the equation.

Front

What is the error in the expression 2x + 3x?

Back

The error is in not combining like terms; it should be simplified to 5x.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the purpose of balancing an equation?

Back

The purpose is to maintain equality by performing the same operation on both sides of the equation.

Front

What does it mean to subtract 5 from both sides of an equation?

Back

It means to take away 5 from both sides to keep the equation balanced.

Front

What is the result of dividing both sides of the equation 5x = 10 by 5?

Back

The result is x = 2.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

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

Back

The equal sign indicates that the values on both sides of the equation are the same.