Two Step Inequality Word Problems

Front

Define a two-step inequality.

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, often involving addition or subtraction followed by multiplication or division.

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

How do you represent a variable in a word problem?

Back

You define a variable to represent an unknown quantity, often using a letter like x.

Front

What is the first step in solving a two-step inequality?

Back

The first step is to isolate the term with the variable by performing the inverse operation.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph a solution to an inequality on a number line?

Back

You use an open circle for '>' or '<' and a closed circle for '≥' or '≤', then shade the appropriate direction.

Front

In the context of word problems, what does 'at least' indicate?

Back

'At least' indicates a minimum value that must be met or exceeded, often represented by a '≥' inequality.

Front

In the context of word problems, what does 'no more than' indicate?

Back

'No more than' indicates a maximum value that cannot be exceeded, often represented by a '≤' inequality.

Front

How do you set up an inequality from a word problem?

Back

Identify the variable, determine the relationship described in the problem, and translate it into an inequality.