Understanding Number Lines and Factors

This video tutorial covers a range of mathematical concepts including positive and negative numbers, solving equations, plotting on a number line, understanding opposites and absolute values, graphing on a coordinate plane, and finding common factors and multiples. It provides practical examples and exercises to help students grasp these concepts effectively.

If a diver is 25 feet below sea level and swims up 15 feet, what is his new elevation?

• 0 feet (sea level)

• 15 feet below sea level

• 10 feet above sea level

• 10 feet below sea level

What is the opposite of -5 on a number line?

• -5

• 0

• 5

• -10

If a stadium can seat 16,000 people and currently has 13,920 people, what percentage of the stadium is filled?

• 87%

• 80%

• 75%

• 90%

Which of the following numbers is greater than -5?

• -6

• -5.5

• -4

• -10

Which state has a lower record temperature, Florida or Georgia?

• Florida

• Georgia

• Both have the same

• Cannot be determined

What is the shape formed by connecting the points (-2, 3), (2, 3), (-2, -3), and (2, -3) on a coordinate plane?

• Square

• Rectangle

• Circle

• Triangle

If a point is located at (0, -567) on a coordinate plane, what does the y-coordinate represent?

• 567 meters above sea level

• 567 meters to the left of the origin

• 567 meters below sea level

• 567 meters to the right of the origin

Which of the following is the least common multiple of 8 and 12?

• 16

• 24

• 48

• 32

How many bags can Diego make if he has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies, ensuring each bag has the same number of each type of cookie?

• 2 bags

• 4 bags

• 8 bags

• 5 bags

What is the greatest common factor of 42 and 15?

• 2

• 1

• 5

• 3