2-Step Inequalities Word- Problems

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, often involving addition or subtraction followed by multiplication or division.

Front

How do you represent a budget constraint in an inequality?

Back

A budget constraint can be represented as an inequality where the total spending must be less than or equal to the budget, e.g., x + y ≤ budget.

Front

What does 'at most' mean in the context of inequalities?

Back

'At most' indicates a maximum limit, meaning the value can be equal to or less than a specified number.

Front

How do you solve a 2-step inequality?

Back

To solve a 2-step inequality, perform the inverse operations in reverse order, isolating the variable while maintaining the inequality's direction.

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

The first step is to subtract 3 from both sides, resulting in 2x < 8.

Front

If a problem states 'no more than', how is this represented in an inequality?

Back

'No more than' is represented as ≤ (less than or equal to) in an inequality.

Front

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

Back

The solution of an inequality in a word problem indicates the range of possible values that satisfy the conditions of the problem.

Front

What does 'more than' signify in an inequality?

Back

'More than' signifies a greater than relationship, represented as > in an inequality.

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 significance of the term 'maximum' in a word problem?

Back

The term 'maximum' indicates the highest possible value that a variable can take without violating the conditions of the problem.