Exploring Linear Inequality Word Problems

Mr. Boyd introduces inequality word problems, focusing on defining variables, writing inequalities, and graphing them. The first example involves buying sodas and chips with a budget constraint, while the second example deals with a fundraiser selling brownies. The video explains how to graph inequalities using intercepts, understand solutions, and identify shaded regions. It emphasizes the difference between solutions on the line and those in the shaded area.

What is the cost of each soda in the first example?

• $3

• $1

• $2

• $4

How many possible combinations of sodas and chips are listed in the first example?

• One

• Two

• Three

• Four

What variable is used to represent the number of sodas?

• y

• z

• s

• x

What is the inequality representing the total cost of sodas and chips?

• x + y < 20

• 2x + y < 20

• x + 2y < 20

• x + 2y > 20

What is the x-intercept of the inequality x + 2y < 20?

• 20

• 40

• 30

• 10

Why is the line in the graph dashed?

• It represents an equation

• It represents an inequality

• Solutions are on the line

• Solutions are not on the line

What does the shaded region in the graph represent?

• Solutions greater than 20

• Solutions less than 20

• Solutions equal to 20

• No solutions

In the second example, what is the cost of each pan of brownies?

• $10

• $20

• $30

• $40

What is the inequality representing the total sales of pans and single brownies?

• 20p + 2b <= 600

• 20p + 2b > 600

• 20p + 2b < 600

• 20p + 2b >= 600

What is the b-intercept of the inequality 20p + 2b >= 600?

• 200

• 100

• 400

• 300