Linear Functions, Linear Equations, Systems and Inequalities

The solutions to a linear inequality are all the points in the shaded area of the graph. Which of these coordinates is a solution to this linear inequality?

• (5,5)

• (5,-1)

• (0,4)

• (-5,3)

Why is (0,4) NOT a solution to this linear inequality?

• Points on a dashed line are not included

• it's not in the shaded area

• it's in the shaded area

Which point is a solution to this linear inequality?

• (0,5)

• (5,0)

• (10,1)

• (-2,-5)

Is (4,2) a solution to this linear inequality?

• yes because it's on a solid line

• no because it's on a dashed line

• no because it's not in the shaded region

• yes because it has whole numbers

When you have a system of 2 linear inequalities, the solutions are in the region where both shaded areas overlap. Which graph has the letter "S" drawn in the solution area?

• 
• 
• 
• 

When you have a system of 2 linear inequalities, the solutions are in the region where both shaded areas overlap. Which coordinate is a solution to this system of linear inequalities?

• (-1,7)

• (10,2)

• (4,2)

• (1,2)

Because the point (4,2) is on a dashed line, it ...

• is a solution to the system

• is NOT a solution to the system

The solutions to a function are all the points on the graph of the function. IF you have 2 functions graphed on top of each other, the solutions are the points where the 2 functions intersect. What is the solution of this system of linear equations?

• (0,0)

• (4,0)

• (0,4)

• (2,2)

What are the solutions to this system of equations?

• (0,-5) and (0,1)

• (1,0) and (5,0)

• (1,0) and (6,-5)

The inequality is graphed below. Which coordinate point is contained within the solution set of the inequality?

• (8,5)

• (8,20)

• (0,20)

• (4,5)