Systems of Inequalities and Circles

What is the radius of a circle that has a center at (-2, -3) and goes through the point (-8, -3)?

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

Select the correct graph for each inequality.

• A

• B

• C

• D

Solve the system of inequalities by graphing.

• 
• 
• 
• 

• (8,4)

• (10,2)

• (7,9)

• (5,9)

Two inequalities are graphed on the same coordinate plane.

Select two solutions to this system of inequalities.

• (6,-2)

• (4,-6)

• (6,-8)

• (-4,0)

• A

• B

• C

• D

Is (-2,4) a solution to the system?

• Solution

• Not a solution

JoAnn likes her job as a baby-sitter, but it pays only $3 per hour. She has been offered a job as a tutor that pays $6 per hour. Because of school, her parents only allow her to work a maximum of 15 hours per week. JoAnn wants to to tutor and baby-sit and make at least $66 per week. Formulate an system of inequalities to model how many hours per week she can work at each job.

• b + t < 15
  3b + 6t > 66

• b + t > 15
  3b + 6t < 66

• 3b + 6t > 15
  b + t < 66

• 3b + 6t < 15
  b + t < 66

Which system of inequalities is shown?

• y ≥ -x - 1
  y < x + 4

• y < -x - 1
   y ≥ x + 4

• y > -x - 1
  y ≥ x + 4

• y > -x - 1
  y ≥ x + 3