Systems of Equations and Inequalities

What are the two linear inequalities graphed here?

• y ≤ - x + 4
   y < x - 2
• y ≤ - x + 4
   y > x - 2 
• y ≤ - 2x + 4
   y > 2x - 2
• y ≤ - x + 2
   y > x - 4

Which points are solutions to the system shown?

• (5, 3) (6, -3)
• (3, 3) (5, -3)
• (-2, 2) (-4, 4)
• (1, 2) (1, 5)

Find the solution to the system
y = x - 1
y = 2x - 2

• (-3, 0)
• (-4, -3)
• (-3, 4)
• (1, 0)

What is the solution to this system?

• (-1, -2)
• (-2, -1)
• There is no solution.
• There are infinite solutions.

What is the equation of a line that has a slope of 7 and a y-intercept of 12?

• y = 12x + 7
• y = 7/12x
• x = 7y +12
• y = 7x + 12

What type of solution does the system below have?
8x - 4y = 12
y = 2x - 3

• One solution
• No solution
• Infinite solutions

What type of solution does this system have?
2y - 30x = -6
-3y + 45x = 15

• One solution
• No solution
• Infinite solutions

Is (-3, -2) a solution to this system?

• Yes

• No

Solve the system.

• (3, -2)

• (5, -2)

• (-2, 5)

• (-2, 3)

What is the solution to the system?

• (-1, 4)

• (3, 0)

• (4, 1)

• (0, -1)