Inequality Word Problem Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does 'at least' mean in terms of inequalities?

Back

'At least' means that the value must be greater than or equal to a certain number, represented by the symbol ≥.

Front

How do you represent a situation where a person must be no more than 12 years old?

Back

This situation is represented by the inequality x ≤ 12.

Front

If Lea has saved $30 and saves $30 each week, how can we express the total amount saved after x weeks?

Back

The total amount saved can be expressed as 30 + 30x.

Front

What is the correct inequality for Lea needing a minimum of $240 to buy a console?

Back

The correct inequality is 30 + 30x ≥ 240.

Front

How do you solve the inequality 20 + 15x ≥ 200 for x?

Back

Subtract 20 from both sides to get 15x ≥ 180, then divide by 15 to find x ≥ 12.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than' and indicates that one value is larger than another.

Front

What does the symbol '<' represent in inequalities?

Back

'<' means 'less than' and indicates that one value is smaller than another.

Front

How can you express the requirement to exceed $200 in terms of walking dogs?

Back

You can express this as d > 12, where d is the number of dogs walked.

Front

What is the first step in solving an inequality?

Back

The first step is to isolate the variable on one side of the inequality.