6C 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

How do you represent a situation with an inequality?

Back

You can represent a situation with an inequality by identifying the quantities involved and determining the relationship between them, often using symbols like <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to', indicating that a value can be either greater than or equal to another value.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to', indicating that a value can be either less than or equal to another value.

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides to get 6t ≤ -6, then divide by 6 to find t ≤ -1.

Front

What is the first step in solving the inequality -3y + 2 > 11?

Back

The first step is to subtract 2 from both sides, resulting in -3y > 9.

Front

What is the solution to the inequality 14x + 30 ≥ 240?

Back

Subtract 30 from both sides to get 14x ≥ 210, then divide by 14 to find x ≥ 15.

Front

How do you determine the maximum number of friends Dylan can take to the movies?

Back

Set up the inequality 6.25x + 9.75 ≤ 50, where x is the number of child tickets, and solve for x.

Front

What is the meaning of 'at least' in an inequality?

Back

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

Front

What is the solution to the inequality -3y + 2 > 11?

Back

Subtract 2 from both sides to get -3y > 9, then divide by -3 (remember to flip the inequality) to find y < -3.