equations with variables on both sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

What is the first step to solve the equation: 5x + 9 = 2x - 3?

Back

Subtract 2x from both sides to simplify the equation.

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.

Front

What does it mean to perform the same operation on both sides of an equation?

Back

It maintains the equality of the equation, allowing for manipulation without changing the solution.

Front

Back

x = -17.

Front

Back

x = -4.

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

What is the error in the equation: 3x + 2x = 5x?

Back

The error is in adding 2x to 3x, which is correct; however, if the context implies a mistake, it could be a misunderstanding of combining like terms.

Front

What operation is performed to both sides of the equation to solve for x?

Back

You can add, subtract, multiply, or divide both sides by the same number.

Front

What does it mean to combine like terms in an equation?

Back

It means to simplify the equation by adding or subtracting terms that have the same variable raised to the same power.