Creating Inequalities from Word Problems

This lesson teaches how to create inequalities from word problems using algebraic reasoning. It reviews key concepts like variables and common mistakes in using inequality symbols. An example problem is provided, demonstrating the steps to solve it by identifying unknowns, constants, and possible solutions. The lesson concludes with a summary of the key points.

What is a common mistake when working with inequalities?

• Using an equation instead of an inequality

• Forgetting to include all solutions

• Not using the correct inequality symbol

• Using the wrong variable

In the word problem, what is the maximum amount Debbie can spend?

• $22

• $60

• $8

• $30

What does the variable X represent in the word problem?

• The cost of jeans

• The number of T-shirts

• The total amount spent

• The total budget

Which inequality symbol is used to represent that Debbie can spend at most $60?

• Greater than or equal to

• Greater than

• Less than

• Less than or equal to

What is the inequality that represents the word problem?

• $22 + 8X ≤ $60

• $22 + 8X = $60

• $22 + 8X < $60

• $22 + 8X > $60