Mastering Rational Expressions: EOG Review Insights

This video is the third and final part of an EOG review for eighth-grade students, covering questions 31 to 44. It includes solving Pythagorean theorem problems, finding line intersections using graphing calculators, analyzing scatter plots and linear models, calculating distances and perimeters, understanding dilation and function properties, and calculating volume. The video concludes with study tips for the EOG.

What is the length of the hypotenuse if the legs of a right triangle are 6 and 8 units?

• 10 units

• 6 units

• 14 units

• 8 units

At what coordinates do the lines y = 3x + 4 and y = -2x + 6 intersect?

• (2, 10)

• (1, 7)

• (3, 13)

• (4, 7)

Which equation best models the given scatter plot data?

• y = 40x + 35

• y = 4x + 5

• y = 3x + 60

• y = 3x + 10

What does a slope of 1/3 indicate about the rate of plant growth per hour of sunlight?

• 3 inches per hour

• 1 inch per 3 hours

• 0.33 inches per hour

• 3 hours per inch

Which function has the same slope as y = -1/4x + 2?

• y = -1/4x - 2

• y = 1/4x + 2

• y = -1/4x + 3

• y = -1/4x + 1

How does the graph of a walking and jogging scenario look?

• Line with varying slope

• Curved line

• Straight line

• Flat line

What is the perimeter of an equilateral triangle with a side length of 4 units?

• 12 units

• 4 units

• 8 units

• 16 units

What is the volume of a sphere with a radius of 3 units using the formula 4/3πr³?

• 36π cubic units

• 9π cubic units

• 12π cubic units

• 27π cubic units

What is the correct approach to solve a dilation problem with a scale factor of 1/2?

• Double the coordinates

• Halve the coordinates

• Square the coordinates

• No change needed

Is the set of points {(2, 4), (4, 5), (5, 6), (6, 7)} a function?

• Cannot determine

• Only if x > 5

• No

• Yes