Two-Step Inequality Word Problems

Front

What is a two-step inequality?

Back

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

Front

How do you represent a situation where you have more than a certain amount?

Back

You use the 'greater than' symbol (>) or 'greater than or equal to' symbol (≥) to represent having more than a certain amount.

Front

How do you represent a situation where you have less than a certain amount?

Back

You use the 'less than' symbol (<) or 'less than or equal to' symbol (≤) to represent having less than a certain amount.

Front

What does the inequality 25 - 2x > 10 represent?

Back

It represents a situation where after spending 2 dollars for each toy (x), Kyle has more than 10 dollars left on his gift card.

Front

What does the inequality 15x - 35 < 25 represent?

Back

It represents a situation where Jodi's earnings from waiting tables minus her gas expenses is less than 25 dollars.

Front

What does the inequality 7x - 25 ≥ 65 represent?

Back

It represents a situation where Lukas needs to wash enough cars (x) to have at least 65 dollars after saving 25 dollars.

Front

What does the inequality 5x + 10 ≥ 77 represent?

Back

It represents a situation where Sai needs to answer enough questions (x) to have at least 77 points, considering her extra credit.

Front

What does the inequality 100 - 12x ≥ 25 represent?

Back

It represents a situation where Noah can withdraw money each month (x) while ensuring he has at least 25 dollars left in his account after a year.

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 opposite operation (addition or subtraction) on both sides of the inequality.

Front

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

Back

The second step is to isolate the variable by performing the opposite operation (multiplication or division) on both sides of the inequality.