Modeling/Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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 a variable in mathematics?

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 the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

What is the first step in solving the equation 10x + 9 = 4x - 9?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

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

Back

x = 2.

Front

What does it mean to write an equation for a model?

Back

Writing an equation for a model means creating a mathematical representation that describes a real-world situation.

Front

What is the solution to the equation 4x - 5x + 9 = 5x - 9?

Back

x = 3.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.