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 represent a situation where a person needs to earn at least a certain number of points?

Back

You can represent this situation with an inequality, such as 'points earned + extra points ≥ required points'.

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

How do you define a variable in a word problem?

Back

You define a variable by stating what it represents in the context of the problem, such as 'let x = the number of weeks needed to reach a savings goal'.

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 of the inequality.

Front

What is the second step in solving a two-step inequality?

Back

The second step is to isolate the variable by performing the opposite operation (multiplication or division) on both sides of the inequality.

Front

How do you check the solution of a two-step inequality?

Back

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

Front

What does the inequality '5x + 10 ≥ 77' represent in a word problem?

Back

It represents a situation where a person earns points for answers and has extra points, needing to meet or exceed a total of 77 points.

Front

How can you express a goal of saving money in an inequality?

Back

You can express it as 'current savings + (amount saved per week × number of weeks) ≥ savings goal'.

Front

What is the importance of understanding inequalities in real-life situations?

Back

Understanding inequalities helps in making decisions based on constraints, such as budgeting, saving, and planning.