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. It often involves 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 the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

In the problem, 'Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.' What is the inequality?

Back

14x + 30 ≥ 240.

Front

What does 'x' represent in the inequality '14x + 30 ≥ 240'?

Back

In this inequality, 'x' represents the number of cars Lea needs to wash.

Front

How do you solve the inequality '14x + 30 ≥ 240'?

Back

Subtract 30 from both sides to get 14x ≥ 210, then divide by 14 to find x ≥ 15.

Front

In the problem, 'Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks?' What is the inequality?

Back

x ≥ 48.

Front

What does 'x' represent in the inequality 'x ≥ 48'?

Back

In this inequality, 'x' represents the number of weeks Kiari needs to save.

Front

In the problem, 'Dylon decides to take his friends to a movie with his $50 of birthday money. An adult ticket costs $9.75. Each child ticket costs $6.25.' What is the variable defined as?

Back

x = the number of friends.