Two-Step Inequalities Word Problems - Math 7

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 represent a word problem as an inequality?

Back

Identify the unknown variable, determine the relationship described in the problem, and translate the conditions into an inequality.

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

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

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left is either less than or equal to the value on the right.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

Front

How can 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 first step in solving a two-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.

Front

If Kate needs $100 and has $10 from her father, how do you set up the inequality for babysitting?

Back

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

Front

In the problem about Taraji, how do you express the total cost of vegetables and a basket?

Back

The total cost can be expressed as 3p + 5.5 ≤ 10, where p is the number of pounds of vegetables.

Front

What is the goal of Evelyn's savings problem?

Back

Evelyn's goal is to save at least $200, starting with $60 and adding $5 each week.