Two Step Inequality Word Problems (Practice)

Front

What is 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

How do you represent a situation where you need at least a certain amount of money?

Back

You can represent this situation with an inequality using the 'greater than or equal to' symbol (≥).

Front

What inequality represents Lea's situation of needing at least $240 after saving $30 and earning $14 per car washed?

Back

14x + 30 ≥ 240

Front

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

Back

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

Front

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

Back

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

Front

What happens to the inequality sign when you multiply or divide both sides by a negative number?

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

How do you solve the inequality 6t + 4 ≤ -2 for t?

Back

Subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Front

What is the maximum number of friends Dylan can take to the movies if he has $50 and must buy one adult ticket for $9.75?

Back

Dylan can take a maximum of 6 friends.

Front

What inequality can be used to determine the maximum number of friends Dylan can take to the movies?

Back

6.25x + 9.75 ≤ 50

Front

If an adult ticket costs $9.75 and each child ticket costs $6.25, how do you set up an inequality for the total cost?

Back

Set up the inequality as 9.75 + 6.25x ≤ total amount available.