Writing Two-Step Inequalities

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You flip the inequality symbol.

Front

If Grace earns $7 for each car she washes and saves $25, how do you represent the inequality for her spending money goal of at least $65?

Back

7x - 25 ≥ 65

Front

What is the inequality for Debbie who has at most $60 to spend, buys jeans for $22, and t-shirts for $8 each?

Back

22 + 8x ≤ 60

Front

How do you write an inequality for Juan who bought a soda for $2 and nachos for $3 each, spending no more than $14?

Back

2 + 3n ≤ 14

Front

What inequality represents Katie's goal of having at least $200 in her bank account, starting with $25 and earning $12 per dog walked?

Back

25 + 12x ≥ 200

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

How do you solve the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides to get 3x < 15, then divide by 3 to find x < 5.

Front

What is the first step in solving the inequality 2x - 4 ≥ 10?

Back

Add 4 to both sides to get 2x ≥ 14.

Front

What does the solution x > 3 represent in a real-world context?

Back

It indicates that the variable x must be greater than 3, which could represent a minimum requirement.

Front

How do you graph the inequality x ≤ 4 on a number line?

Back

Draw a closed circle on 4 and shade to the left.