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 situation with an inequality?

Back

You identify the quantities involved, determine the relationship (greater than, less than, etc.), and express it using an inequality symbol.

Front

What does the inequality symbol '≤' mean?

Back

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

Front

What does the inequality symbol '≥' mean?

Back

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

Front

How do you solve a two-step inequality?

Back

To solve a two-step inequality, perform the inverse operations in reverse order: first isolate the term with the variable, then isolate the variable itself.

Front

What is the first step in solving the inequality 3x + 5 < 20?

Back

The first step is to subtract 5 from both sides, resulting in 3x < 15.

Front

What is the maximum number of items you can buy if you have a budget?

Back

You can find the maximum number of items by setting up an inequality that represents your budget and solving for the number of items.

Front

How do you write an inequality for a situation where you have a maximum amount to spend?

Back

You write an inequality that includes the total cost and set it less than or equal to the maximum amount.

Front

What is the relationship between the coefficients and the variable in an inequality?

Back

The coefficient indicates how many units of the variable are involved in the inequality, affecting the overall value.

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality represents a range of values that satisfy the condition set by the inequality.