Two-Step Inequality Word Problems

Front

Define the variable in a two-step inequality word problem.

Back

The variable represents the unknown quantity we are trying to find, often related to the context of the problem.

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable.

Front

How do you write an inequality for a word problem?

Back

Identify the key information, define the variable, and translate the words into a mathematical inequality.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates that the value is greater than or equal to a certain number, represented by '≥'.

Front

What does 'at most' mean in an inequality?

Back

'At most' indicates that the value is less than or equal to a certain number, represented by '≤'.

Front

How do you solve a two-step inequality?

Back

1. Perform the first operation to isolate the term with the variable. 2. Perform the second operation to solve for the variable.

Front

What is the first step in solving the inequality 14x + 30 ≥ 240?

Back

Subtract 30 from both sides to isolate the term with the variable.

Front

What is the solution to the inequality 50x + 2400 ≥ 4800?

Back

x ≥ 48.

Front

How do you interpret the solution of an inequality in a word problem?

Back

The solution indicates the range of values that satisfy the conditions of the problem.

Front

What is the importance of defining the variable in a word problem?

Back

Defining the variable clarifies what you are solving for and helps in setting up the inequality correctly.