6C 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 solve the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6. Then divide by 6: t ≤ -1.

Front

What does the symbol '≥' mean in inequalities?

Back

'≥' means 'greater than or equal to'. It indicates that the value can be greater than or equal to a certain number.

Front

What does the symbol '≤' mean in inequalities?

Back

'≤' means 'less than or equal to'. It indicates that the value can be less than or equal to a certain number.

Front

How do you interpret the solution x ≥ 6 in a word problem?

Back

It means that the value of x must be 6 or more, indicating the minimum requirement.

Front

What is the first step in solving the inequality -3y + 2 > 11?

Back

Subtract 2 from both sides: -3y > 9.

Front

What is the solution to the inequality y < -3?

Back

It means that y can take any value less than -3.

Front

If Sylvia has $60 and saves $5 per week, how do you set up the inequality to find how many weeks it will take to save at least $200?

Back

Set up the inequality: 60 + 5x ≥ 200.

Front

What is the maximum number of friends Dylan can take to the movies if he has $50 and an adult ticket costs $9.75?

Back

Dylan can take a maximum of 6 friends, as the inequality x ≥ 6 indicates.

Front

What is the least number of cars Lea needs to wash to buy headphones costing $240 if she has $30 saved and earns $14 per car?

Back

Lea needs to wash at least 15 cars, as indicated by the inequality x ≥ 15.