Inequalities and Word Problems

This video tutorial covers lesson 7.2 on writing two-step inequalities for seventh-grade students. It begins with an introduction to the concept, followed by modeling inequalities using algebra tiles. The tutorial includes examples such as a mountain climbing scenario, a glee club fundraising problem, and a state fair rides situation. Each example demonstrates how to translate word problems into inequalities. The video concludes with guidance on creating word problems from inequalities.

What is the primary focus of lesson 7.2 in the context of inequalities?

• Translating word problems into inequalities

• Graphing inequalities

• Understanding one-step inequalities

• Solving two-step inequalities

In modeling two-step inequalities, what do the long bars represent?

• Negative variables

• Positive variables

• Positive constants

• Negative constants

In the mountain climbing example, what is the variable 'x' used to represent?

• Total altitude

• Number of days

• Feet climbed per day

• Summit height

What is the ultimate goal for the mountain climbing team in terms of altitude?

• 20,000 feet

• 29,029 feet

• 18,460 feet

• 25,000 feet

In the glee club example, what does the inequality help determine?

• Total amount raised

• Amount each member must raise

• Number of members

• Total expenses

How much money has the glee club already raised?

• $3,500

• $6,000

• $1,240

• $2,000

In the state fair example, what is the cost of admission?

• $3

• $12

• $6

• $9

What is the maximum amount Ella can spend on rides at the state fair?

• $34

• $40

• $36

• $30

What does the variable 'x' represent in the state fair example?

• Total money spent

• Number of rides

• Cost per ride

• Admission fee

What is the inequality used to determine the number of rides Ella can take?

• 6 + 3x ≤ 40

• x + 6 ≤ 40

• 6x + 3 ≤ 40

• 3x + 6 ≥ 40