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 is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What is a coefficient?

Back

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

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

What is the purpose of modeling equations?

Back

Modeling equations helps to represent real-world situations mathematically, allowing for analysis and problem-solving.

Front

What is the solution to the equation 2x + 4 = 10?

Back

x = 3.

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 equation for the model: 3x - 1 = 9?

Back

x = 10/3.

Front

What does it mean when an equation is balanced?

Back

An equation is balanced when both sides have the same value, meaning the equation holds true.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.