Equations from models

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 a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it can be written in the form ax + b = c.

Front

What is the general form of a linear equation in one variable?

Back

The general form of a linear equation in one variable is ax + b = 0, where a and b are constants.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 3 = x + 5?

Back

The solution is x = -2.

Front

What is the solution to the equation 7 = 2x + 4?

Back

The solution is x = 1.5.

Front

What is the solution to the equation 3x = 8?

Back

The solution is x = 8/3 or approximately 2.67.

Front

What is the solution to the equation 2 = x + 6?

Back

The solution is x = -4.

Front

What is the solution to the equation 2x = 6?

Back

The solution is x = 3.