Solving Equations Variable on Both Sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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 a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

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

Back

It means that the variable appears in expressions on both sides of the equality sign.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

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 containing the variable to one side.

Front

What is the solution to the equation 12x + 1 = 6x - 47?

Back

x = -8.

Front

How do you set up an equation for two containers leaking water?

Back

You can set up the equation by equating the amounts of water in both containers after a certain time.

Front

What is the solution to the equation -3x + 20 = 2x - 40?

Back

x = 12.

Front

How do you compare costs of services using equations?

Back

You can set up an equation where the total cost of each service is equal to find the point at which they cost the same.