Understanding Inequalities and Costs

Mr. Richards teaches how to solve and graph two-step inequalities using real-world examples, such as calculating the cost of a newspaper ad. The lesson covers solving inequalities with inverse operations, graphing solutions, and handling inequalities involving negative numbers. The video concludes with a summary of key concepts and examples.

What is the main objective of the lesson on two-step inequalities?

• To solve and graph two-step inequalities in one variable

• To understand the history of inequalities

• To learn about one-step equations

• To explore three-step inequalities

What is the cost of placing a 10-day ad with three lines?

• $48

• $58

• $38

• $28

How much does each additional line cost for the newspaper ad?

• $7

• $5

• $9

• $11

If Caitlyn can only spend $50, how much more does she need for the ad?

• $6

• $5

• $4

• $7

What is a two-step inequality?

• An inequality with two operations

• An equation with one operation

• An equation with two variables

• An inequality with one operation

In the first guided example, what is the solution to 3x + 4 ≥ 16?

• x ≥ 2

• x ≥ 3

• x ≥ 4

• x ≥ 5

In the second guided example, what is the solution to 5 + 4x < 33?

• x < 6

• x < 7

• x < 8

• x < 9

What must you remember when multiplying or dividing both sides of an inequality by a negative number?

• Keep the inequality sign the same

• Subtract a negative number

• Add a positive number

• Reverse the inequality sign

In the example with division and multiplication, what is the solution to x/2 + 9 ≥ 5?

• x ≥ -6

• x ≥ -7

• x ≥ -8

• x ≥ -9

How many more games does Stewart need to bowl to reach at least 61 strikes?

• 12 games

• 13 games

• 15 games

• 14 games