4.9 Model 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 model an equation?

Back

Modeling an equation involves creating a mathematical representation of a real-world situation using variables and constants.

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 is a constant in an equation?

Back

A constant is a fixed value that does not change, such as numbers like 1, 2, or -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 solution of an equation?

Back

The solution of an equation is the value of the variable that makes the equation true.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value of the variable that satisfies the equation.

Front

What is the balance method in solving equations?

Back

The balance method involves performing the same operation on both sides of the equation to maintain equality.

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 is the importance of checking your solution?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.