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 described in the problem, and express it using inequality symbols (>, <, ≥, ≤).

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you solve a two-step inequality?

Back

To solve a two-step inequality, perform the inverse operations in reverse order: first isolate the term with the variable, then isolate the variable itself, while remembering to flip the inequality sign if you multiply or divide by a negative number.

Front

What is the first step in solving the inequality 50x + 2400 ≥ 4800?

Back

The first step is to subtract 2400 from both sides of the inequality: 50x ≥ 2400.

Front

If Jillian saves $50 per week, how do you express the total savings after x weeks?

Back

The total savings after x weeks can be expressed as 50x.

Front

In the problem about the taxi fare, what is the fixed cost of the ride?

Back

The fixed cost of the ride is $5.

Front

What is the variable cost per mile for the taxi ride?

Back

The variable cost per mile for the taxi ride is $0.60.

Front

How do you define the variable in a word problem?

Back

Define the variable by stating what it represents in the context of the problem, such as the number of items, time, or distance.