Modeling equations with variables 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 model an equation with variables on both sides?

Back

Modeling an equation with variables on both sides means setting up an equation where the variable appears on both the left and right sides, allowing for solving for the variable.

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 possible, by combining like terms.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the solution to the equation 5x + 1 = 3x + 5?

Back

x = 2.

Front

What is the solution to the equation 2x + 3 = -5?

Back

x = -4.

Front

What is the solution to the equation 5x + 5 = 15?

Back

x = 2.

Front

What is the solution to the equation 1 + 2x = 3 + x?

Back

x = 2.

Front

What is the solution to the equation 3s + 2 = 2s + 6?

Back

s = 4.

Front

What does 'combining like terms' mean?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.