2 Step Inequaliies- Word Problems and Number Problems

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you represent a word problem as an inequality?

Back

Identify the variable, determine the relationship described in the problem, and translate the words into mathematical symbols to form an inequality.

Front

What does the symbol '>' mean in an inequality?

Back

'>' means 'greater than', indicating that the value on the left is larger than the value on the right.

Front

What does the symbol '≥' mean in an inequality?

Back

'≥' means 'greater than or equal to', indicating that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve the inequality 15w + 45 > 205?

Back

Subtract 45 from both sides to get 15w > 160, then divide by 15 to find w > 10.67.

Front

In the context of the baseball problem, how do you determine the number of packages needed?

Back

Calculate the total number of baseballs needed (100), subtract the number already available (24), then divide by the number of baseballs per package (4) and round up.

Front

What is the first step in solving the inequality 6 - 2h > -18?

Back

Subtract 6 from both sides to isolate the term with the variable: -2h > -24.

Front

How do you isolate the variable in the inequality 5a + 10 ≥ 77?

Back

Subtract 10 from both sides to get 5a ≥ 67, then divide by 5 to find a ≥ 13.4.

Front

What does it mean if a solution to an inequality is expressed as 'h < 12'?

Back

It means that the variable h can take any value less than 12.

Front

What is the importance of checking your solution in an inequality?

Back

Checking your solution ensures that the values satisfy the original inequality and helps confirm that no mistakes were made during the solving process.