FA 8-2: Two-Step Inequalities 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 using inequality symbols.

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

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of the inequality by a negative number.

Front

Write the inequality for: Lea needs at least $240 to buy headphones, has $30 saved, and earns $14 per car washed.

Back

14x + 30 ≥ 240

Front

Solve the inequality: 77 ≤ 5 + 8n. What is n?

Back

n ≥ 9.

Front

What is the first step to solve the inequality u/7 – 1 ≤ 1?

Back

Add 1 to both sides: u/7 ≤ 2.

Front

What is the maximum number of hours a DJ can play if the total cost must be under $600, given the DJ charges $125 per hour and $55 for an assistant?

Back

125x + 55 < 600.

Front

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.