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 the variable 'x' represent in an equation?

Back

The variable 'x' represents an unknown value that we aim to solve for in an equation.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value of the variable that makes the equation true.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the first step in solving the equation 2x - 2 = 4?

Back

The first step is to add 2 to both sides of the equation to eliminate the -2.

Front

What is the solution to the equation 2x - 2 = 4?

Back

The solution is x = 3.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What does the term 'coefficient' mean in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

Front

What is the difference between an equation and an expression?

Back

An equation contains an equal sign and states that two expressions are equal, while an expression does not have an equal sign.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the values on both sides of the equation are the same.