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, often involving addition or subtraction followed by multiplication or division.

Front

Define the variable in a word problem.

Back

Defining the variable means assigning a symbol (usually x) to represent an unknown quantity in the problem.

Front

What does it mean to solve an inequality?

Back

Solving an inequality means finding all values of the variable that make the inequality true.

Front

How do you write an inequality from a word problem?

Back

Identify the key quantities and relationships in the problem, then express them using inequality symbols (>, <, ≥, ≤).

Front

What is the first step in solving a two-step inequality?

Back

The first step is to isolate the term with the variable by performing the opposite operation (addition or subtraction) on both sides of the inequality.

Front

What is the second step in solving a two-step inequality?

Back

The second step is to isolate the variable by performing the opposite operation (multiplication or division) on both sides of the inequality.

Front

What does 'at least' mean in an inequality?

Back

'At least' indicates that the value is greater than or equal to a certain number, represented by the symbol ≥.

Front

What does 'at most' mean in an inequality?

Back

'At most' indicates that the value is less than or equal to a certain number, represented by the symbol ≤.

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 is the significance of the direction of the inequality symbol?

Back

The direction of the inequality symbol indicates the relationship between the two sides of the inequality, showing whether one side is greater than or less than the other.