Systems of Inequalities Quiz

What is the main objective of the lesson on systems of inequalities?

• To learn about polynomial functions

• To solve quadratic equations

• To solve systems of linear inequalities by graphing

• To solve systems of linear equations by substitution

In the first example, what type of line is used to graph the inequality y < 2x + 2?

• Curved line

• Dashed line

• Dotted line

• Solid line

For the inequality y > x + 2, which direction is the shading?

• To the left of the line

• Above the line

• To the right of the line

• Below the line

In the second example, what is the slope of the line for the inequality y ≤ -2x - 1?

• -2

• 1

• -1

• 2

What is the y-intercept for the inequality y ≥ -3x + 1 in the third example?

• 0

• 3

• 1

• -3

In the third example, why is there no solution for the system of inequalities?

• The lines intersect at a single point

• The lines overlap completely

• The lines intersect at multiple points

• The lines are parallel and do not intersect

What is the minimum GPA required to be part of the college service organization?

• 3.5

• 3.0

• 4.0

• 2.5

How many volunteer hours per week are required at minimum for the college service organization?

• 5 hours

• 8 hours

• 10 hours

• 12 hours

In the real-world application, what does the variable 'g' represent?

• Number of credits

• Number of courses

• Grade point average

• Number of volunteer hours

What is one possible solution for the GPA and volunteer hours system of inequalities?

• GPA of 2.5 and 8 hours

• GPA of 3.5 and 12 hours

• GPA of 3.0 and 10 hours

• GPA of 4.0 and 15 hours