Lesson 08: Writing and Graphing Inequalities | Unit 7: Rational Numbers

Multiple Choice

At the book sale, all books cost less than $5. What is the most expensive a book could be?

• $5.00
• $4.99
• $4.50
• $3.99

Multiple Choice

At the book sale, all books cost less than $5. Which inequality represents the costs of a book at the sale?

• x ≤ 5
• x > 5
• x = 5
• x < 5

Draw

At the book sale, all books cost less than $5. Draw a number line to represent the inequality.

Open Ended

Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let $$h$$ represent the number of hours Kiran worked on his homework. Decide if the statement $$h > 1$$ is definitely true, definitely not true, or possibly true. Explain your reasoning.

Open Ended

Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let $$h$$ represent the number of hours Kiran worked on his homework. Decide if the statement $$h > 2$$ is definitely true, definitely not true, or possibly true. Explain your reasoning.

Open Ended

Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let $$h$$ represent the number of hours Kiran worked on his homework. Decide if the statement $$h < 1$$ is definitely true, definitely not true, or possibly true. Explain your reasoning.

Open Ended

Kiran started his homework before 7:00 p.m. and finished his homework after 8:00 p.m. Let $$h$$ represent the number of hours Kiran worked on his homework. Decide if the statement $$h < 2$$ is definitely true, definitely not true, or possibly true. Explain your reasoning.

Multiple Choice

Jada is taller than Diego. Diego is 54 inches tall (4 feet, 6 inches). Which inequality correctly compares Jada’s height in inches, $$j$$ , to Diego’s height?

• j < 54
• j = 54
• j ≥ 54
• j > 54

Multiple Choice

Jada is shorter than Elena. Elena is 5 feet tall. Which inequality correctly compares Jada’s height in inches, $$j$$ , to Elena’s height?

• j > 60
• j = 60
• j < 60
• j ≤ 60

Multiple Choice

The inequalities $$h > 42$$ and $$h< 60$$ represent the height requirements for an amusement park ride, where $$h$$ represents a person's height in inches. Which of the following sentences describes these rules as clearly as possible?

• Only people shorter than 42 inches can ride.
• A person can be any height to ride.
• A person must be taller than 42 inches and shorter than 60 inches to ride.
• A person must be at least 60 inches tall to ride.