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 purpose of modeling equations?

Back

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

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

Front

What does the term 'coefficient' refer to in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation, such as the 2 in 2x.

Front

What is the solution to the equation 2x + 9 = 15?

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 represented by the model: -x + 1 = 4?

Back

The solution is x = -3.

Front

What does it mean for an equation to be balanced?

Back

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

Front

What is the equation represented by the model: 2x = 4?

Back

The solution is x = 2.