Writing Equations and Inequalities

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 is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

How do you represent a situation with an equation?

Back

Identify the quantities involved, assign variables, and express the relationship using an equation.

Front

What does the variable 'x' typically represent in equations?

Back

The variable 'x' often represents an unknown quantity that we are trying to solve for.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value of the variable that makes the equation true.

Front

How do you write an equation from a word problem?

Back

Translate the words into mathematical expressions, identify the relationships, and set them equal to each other.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates that the value can be equal to or greater than a certain number.

Front

What does 'no more than' mean in an inequality?

Back

'No more than' indicates that the value can be equal to or less than a certain number.

Front

How do you graph an inequality on a number line?

Back

Use an open circle for 'greater than' or 'less than' and a closed circle for 'greater than or equal to' or 'less than or equal to', then shade the appropriate side.

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation.