FA 8-2: Two-Step Inequalities 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. For example, in the inequality 2x + 3 < 7, you would first subtract 3 from both sides and then divide by 2.

Front

How do you solve the inequality u/7 – 1 ≤ 1?

Back

To solve u/7 – 1 ≤ 1, first add 1 to both sides to get u/7 ≤ 2. Then, multiply both sides by 7 to find u ≤ 14.

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol.

Front

Write the inequality that represents Joan's babysitting situation.

Back

The inequality is 5x + 10 ≥ 100, where x is the number of hours she needs to babysit.

Front

What does the inequality 15 + 6x ≤ 100 represent?

Back

It represents the situation where Lazer Zone charges $15 plus $6 per person, and Andrea wants to know how many people she can invite if she has a maximum of $100.

Front

How do you write an inequality for Lea's headphone situation?

Back

The inequality is 14x + 30 ≥ 240, where x is the number of cars she needs to wash.

Front

What is the first step in solving the inequality 5x + 10 ≥ 100?

Back

The first step is to subtract 10 from both sides, resulting in 5x ≥ 90.

Front

What does it mean if an inequality is written as x < 5?

Back

It means that x can be any number less than 5.

Front

How do you check if your solution to an inequality is correct?

Back

You can check your solution by substituting the value back into the original inequality to see if it holds true.

Front

What is the solution to the inequality 14x + 30 ≥ 240?

Back

To solve, subtract 30 from both sides to get 14x ≥ 210, then divide by 14 to find x ≥ 15.