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 solve a two-step inequality?

Back

1. Use addition or subtraction to move the constant term to the other side. 2. Use multiplication or division to isolate the variable. Remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What does it mean when an inequality is written as x ≥ 5?

Back

It means that the value of x is greater than or equal to 5.

Front

What does it mean when an inequality is written as x ≤ 7?

Back

It means that the value of x is less than or equal to 7.

Front

In the context of word problems, what is a variable?

Back

A variable is a symbol (often a letter) that represents an unknown value in an equation or inequality.

Front

How do you define a variable in a word problem?

Back

You define a variable by stating what it represents in the context of the problem, such as 'let x = the number of toys bought'.

Front

What is the first step in solving a word problem involving inequalities?

Back

The first step is to read the problem carefully and identify the quantities involved and what you need to find.

Front

What is the importance of writing an inequality for a word problem?

Back

Writing an inequality helps to express the relationship between quantities and sets the stage for finding a solution.

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality represents a range of values that satisfy the condition set by the inequality.

Front

What does the inequality 25 - 2x > 10 represent in a word problem?

Back

It represents a situation where the total amount left on a gift card after buying x toys must be greater than $10.