2 Step Inequaliies- 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 represent 'less than' in an inequality?

Back

'Less than' is represented by the symbol '<'. For example, if x is less than 5, it is written as x < 5.

Front

How do you represent 'greater than or equal to' in an inequality?

Back

'Greater than or equal to' is represented by the symbol '≥'. For example, if x is greater than or equal to 3, it is written as x ≥ 3.

Front

What does the inequality 12h - 35 < 25 represent in a word problem?

Back

It represents a situation where Joshua earns 12 dollars per hour, spends 35 dollars, and has less than 25 dollars left.

Front

How do you solve the inequality 5a + 10 ≥ 77?

Back

To solve, subtract 10 from both sides: 5a ≥ 67. Then divide by 5: a ≥ 13.4.

Front

What is the first step in solving the inequality 15w + 45 > 205?

Back

The first step is to subtract 45 from both sides: 15w > 160.

Front

What does the inequality h ≥ 48 represent?

Back

It represents a height requirement where a person must be at least 48 inches tall to ride the bumper cars.

Front

How do you interpret the solution x ≤ 12 tickets?

Back

It means that Mr. Thomas can buy 12 or fewer raffle tickets to leave the event with at least $50.

Front

What is the significance of the number 35 in the inequality 12h - 35 < 25?

Back

The number 35 represents the amount Joshua spent on gas.

Front

What does the inequality 12h - 35 ≤ 25 indicate?

Back

It indicates that Joshua can have 25 dollars or less after spending 35 dollars on gas.