Two-Step Inequality Word Problems

Front

Define the variable in the context of a two-step inequality word problem.

Back

Let x = the unknown quantity we are trying to find.

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

How do you represent a situation where a person needs to save a certain amount of money?

Back

Use an inequality such as x + current savings ≥ target savings.

Front

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

Back

It means 'greater than or equal to'.

Front

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

Back

It means 'less than or equal to'.

Front

If Emilia has $30 and needs at least $240, how do you express this as an inequality?

Back

Let x = the number of cars washed; 14x + 30 ≥ 240.

Front

What is the first step to solve the inequality 5x + 60 ≥ 200?

Back

Subtract 60 from both sides: 5x ≥ 140.

Front

How do you isolate x in the inequality 5x ≥ 140?

Back

Divide both sides by 5: x ≥ 28.

Front

In the context of Dylan's movie ticket problem, how do you express the total cost of tickets?

Back

Total cost = adult ticket + (number of child tickets × child ticket price).

Front

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

Back

He can take a maximum of 6 friends.