Mathematical Concepts and Problem Solving

This video tutorial covers various mathematical concepts for 8th-grade students, including the use of the Pythagorean theorem to find line segment lengths, estimating these lengths to the nearest tenth, plotting square roots on a number line, and finding decimal approximations of square roots. It also explores the calculation of graphene layers in graphite using scientific notation and understanding slope in scatter plots. The tutorial concludes with calculating the slope of a line using given coordinates.

What is the length of line segment AB if the side lengths of the triangle are 1 and 4 units?

• Square root of 16

• Square root of 15

• Square root of 18

• Square root of 17

Estimate the length of line segment GH to the nearest tenth of a unit.

• 5.6 units

• 5.5 units

• 5.8 units

• 5.7 units

Where would you plot the square root of 35 on the x-axis?

• Just more than 6

• Just more than 5

• Just less than 6

• Just less than 5

Which number is closest to the square root of 66?

• 8.3

• 8.2

• 8.1

• 7.8

What is a good decimal approximation for the square root of 7?

• 2.7

• 2.6

• 2.5

• 2.64

How many layers of graphene are in a 1.6 mm thick piece of graphite?

• 8,000

• 800,000

• 8,000,000

• 80,000

What does the slope of 1.5 in the scatter plot represent?

• For every 1.5 points, assists increase by 1

• For every 1.5 assists, points increase by 1

• For every assist, points increase by 1.5

• For every point, assists increase by 1.5

If a player has 30 assists, how many points will they have based on the model?

• 46 points

• 45 points

• 47 points

• 48 points

What is the slope of the line passing through points (12, 23) and (14, 45)?

• 11

• 13

• 10

• 12

What is the formula used to calculate the slope of a line?

• Difference of x values divided by difference of y values

• Sum of x values divided by sum of y values

• Difference of y values divided by difference of x values

• Sum of y values divided by sum of x values