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, often involving addition or subtraction followed by multiplication or division.

Front

How do you write an inequality for a word problem?

Back

Identify the variable, determine the relationship (greater than, less than, etc.), and translate the words into a mathematical expression.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates that the value must be 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 must be less than or equal to a certain number, represented by '≤'.

Front

Define the variable in a word problem.

Back

Defining the variable means assigning a symbol (like x) to represent an unknown quantity in the problem.

Front

How do you solve a two-step inequality?

Back

To solve a two-step inequality, perform inverse operations to isolate the variable, maintaining the inequality's direction.

Front

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

Back

Subtract 30 from both sides to begin isolating the variable.

Front

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

Back

x ≥ 48, after isolating x by subtracting 2400 and dividing by 50.

Front

How do you interpret the solution x ≥ 28 in a real-world context?

Back

It means that the number of weeks needed to save is 28 or more.

Front

What is the importance of checking your solution in an inequality?

Back

Checking your solution ensures that it satisfies the original inequality and is valid in the context of the problem.