Two Step Inequalities Review

Front

What is a two-step inequality?

Back

A two-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 solve the inequality 15 + 6x ≤ 100?

Back

To solve, first subtract 15 from both sides: 6x ≤ 85. Then divide by 6: x ≤ 14.17.

Front

What does the inequality 2 + 3n ≤ 14 represent in a real-world context?

Back

It represents the total cost of a soda and nachos, where the soda costs $2 and each nacho costs $3, and the total must not exceed $14.

Front

How can you represent a situation with an inequality?

Back

Identify the quantities involved, determine the maximum or minimum limits, and express the relationship using an inequality.

Front

What is the first step in solving the inequality 22 + 8x ≤ 60?

Back

Subtract 22 from both sides to isolate the term with the variable: 8x ≤ 38.

Front

What does the solution c ≥ -3.8 indicate?

Back

It indicates that the variable c can take any value greater than or equal to -3.8.

Front

How do you graph the inequality a ≥ 11?

Back

Draw a number line, place a closed circle on 11, and shade to the right to indicate all values greater than or equal to 11.

Front

What is the significance of the maximum limit in application problems?

Back

The maximum limit defines the highest value that a variable can take, which is crucial for determining feasible solutions.

Front

What is the relationship between inequalities and real-world scenarios?

Back

Inequalities can model constraints and limits in real-world situations, such as budgets, capacities, and resource allocations.

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to verify if it holds true.