Solving 1 Step Inequalities from Word Problems

This video tutorial explains how to solve one-step inequalities derived from word problems. It covers defining variables, writing inequalities, solving them, and graphing solutions. The tutorial includes practical examples such as class capacity, cupcake pricing, rectangle area, contest participation, ticket purchase, balloon altitude, and cookie baking time. Each example demonstrates the process of setting up and solving inequalities, emphasizing the importance of understanding the context and constraints of real-life scenarios.

What is the first step in solving a one-step inequality from a word problem?

• Write the inequality

• Define the variable

• Graph the solution

• Substitute known values

In the pilot training class example, what does the variable 'N' represent?

• The number of spaces remaining in the class

• The maximum number of students allowed

• The total number of students

• The number of students who have signed up

What inequality symbol is used when the number of students can be at most 25?

• ≥

• <

• >

• ≤

In the cupcakes example, if a box can cost at most $20, what is the inequality for the cost per cupcake?

• 4C > 20

• 4C < 20

• 4C ≤ 20

• 4C ≥ 20

How much can each cupcake cost if a box of 4 cupcakes costs at most $20?

• $7

• $6

• $5

• $4

In the rectangle example, what does the variable 'W' represent?

• The width of the rectangle

• The length of the rectangle

• The area of the rectangle

• The perimeter of the rectangle

What inequality represents the area of a rectangle with a length of 5 inches and an area of at least 20 square inches?

• 5W > 20

• 5W ≤ 20

• 5W < 20

• 5W ≥ 20

In the paper airplane contest example, what does the variable 'P' represent?

• The total number of people

• The number of people who have entered

• The maximum number of people allowed

• The number of people still needed

If a paper airplane contest needs at least 65 people and 43 have entered, what is the inequality for the number of people still needed?

• 43 + P > 65

• 43 + P < 65

• 43 + P ≥ 65

• 43 + P ≤ 65

If Jake has $36 to spend and each ticket costs $2, what is the maximum number of tickets he can buy?

• 18

• 19

• 16

• 17