Two Step Inequality Word Problems

Front

Define the variable in the context of a two-step inequality word problem.

Back

The variable represents the unknown quantity we are trying to find, often related to the number of items or actions needed to meet a condition.

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

Write the inequality for the following scenario: Lea needs at least $240 to buy headphones, has saved $30, and earns $14 per car washed.

Back

14x + 30 ≥ 240

Front

What does the solution x ≥ 15 mean in the context of Lea's car washing problem?

Back

It means Lea needs to wash at least 15 cars to have enough money for the headphones.

Front

How do you determine the least number of cars Lea needs to wash?

Back

Set up the inequality based on her savings and earnings, then solve for x.

Front

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

Back

Isolate the term with the variable by performing the opposite operation (addition or subtraction) on both sides of the inequality.

Front

If Dylon has $50 and needs to buy one adult ticket for $9.75, how much money does he have left for child tickets?

Back

$50 - $9.75 = $40.25.

Front

What is the maximum number of child tickets Dylon can buy if each ticket costs $6.25?

Back

He can buy a maximum of 6 child tickets, as 6 x $6.25 = $37.50, which is less than $40.25.

Front

What does the inequality 14x + 30 ≤ 240 represent?

Back

It represents a situation where the total amount of money Lea can earn by washing cars, plus her savings, must not exceed $240.

Front

In a two-step inequality, what does it mean if the variable is on the left side of the inequality?

Back

It indicates that we are solving for the variable to find its possible values that satisfy the inequality.