Modeling Equations (variables on both sides)

Front

What is a variable in an equation?

Back

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

Front

What does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

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

Back

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

Front

How do you combine like terms in an equation?

Back

By adding or subtracting coefficients of the same variable.

Front

What is the purpose of balancing an equation?

Back

To ensure that both sides of the equation are equal after performing operations.

Front

What does it mean to isolate the variable?

Back

To manipulate the equation so that the variable is alone on one side.

Front

What is the solution to the equation 2x + 3 = 7?

Back

x = 2.

Front

How do you check if your solution to an equation is correct?

Back

By substituting the solution back into the original equation to see if both sides are equal.

Front

What is the equation for the model if 3 times a number plus 1 equals 5?

Back

3x + 1 = 5.

Front

What is the solution for the equation 4x - 2 = 10?

Back

x = 3.