Modeling Equations

Front

What is the purpose of modeling equations in mathematics?

Back

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

Front

Define a variable in the context of an equation.

Back

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

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 standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable on one side of the equation and the constants on the other.

Front

What is the solution to the equation 4x - 5 = 15?

Back

The solution is x = 5.

Front

What is the first step to solve the equation x - 3 = 9?

Back

Add 3 to both sides of the equation.

Front

What is the equation for a model that represents a relationship between two quantities?

Back

An equation that represents a relationship between two quantities can often be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

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 does the term 'linear equation' refer to?

Back

A linear equation is an equation that graphs to a straight line and can be written in the form y = mx + b.