Writing 2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you represent a situation where a temperature must be below a certain value?

Back

You can represent it using an inequality, such as 'current temperature - rate of change * time < maximum temperature'.

Front

What does the inequality 71 - 3.5x < 50 represent?

Back

It represents the situation where the current temperature of 71°F decreases by 3.5°F for each hour (x) until it is below 50°F.

Front

How do you set up an inequality for a budget constraint?

Back

You set up an inequality by adding the costs of items and ensuring the total does not exceed the budget.

Front

What does the inequality 1.50x + 10 ≤ 40 represent?

Back

It represents the maximum number of rides (x) Daniel can go on at the fair, given he spends $10 on admission and $1.50 per ride, with a total budget of $40.

Front

What is the first step in solving a 2-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 does the inequality 15 + 6x ≤ 100 represent in a real-world context?

Back

It represents the maximum number of people Andrea can invite to play laser tag, given a $15 charge plus $6 per person, with a total budget of $100.

Front

How do you determine the number of tickets to sell to meet a fundraising goal?

Back

Set up an inequality where the total raised (ticket price times number of tickets plus any previous funds) is greater than or equal to the fundraising goal.

Front

What does the inequality 300 + 10x ≥ 2000 represent?

Back

It represents the number of tickets (x) the Junior Beta Club needs to sell at $10 each, plus $300 already raised, to reach their goal of $2000.

Front

How do you express a situation where you want to maintain a minimum amount of money in an account?

Back

You express it with an inequality that subtracts the amount withdrawn from the initial amount and ensures it is greater than or equal to the minimum desired.