Modeling Equations

Front

What is an equation?

Back

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

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 the equation 2x - 3 = 5?

Back

Add 3 to both sides to isolate the term with the variable.

Front

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

Back

x = 4.

Front

What is the equation for the model represented by the statement 'three times a number plus four equals thirteen'?

Back

3x + 4 = 13.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation to get the variable by itself.

Front

What is the inverse operation of addition?

Back

Subtraction.

Front

What is the inverse operation of multiplication?

Back

Division.

Front

What does it mean to balance an equation?

Back

Balancing an equation means ensuring that both sides of the equation remain equal after performing operations.

Front

What is the solution to the equation 3x - 4 = 5?

Back

x = 3.