Systems of Inequalities in Context

Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?

Consists of two or more linear inequalities with the same variables

• Linear Equation

• System of Equations

• System of Inequalities

• Ineqaulity

Part of the coordinate plane in which the ordered pairs are solutions to all inequalities in the system

• Solution Region

• Graph

• Quadrant

• Half Plane

Which color is the solution region to this system of inequaliteis?

• White

• Blue

• Purple

• Red

Which coordinate point is a solution to the system of inequalities?

• (o,o)

• (2,2)

• (1,-3)

• (4,-1)

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80, and some order steak for $17. If the total bill was $91, which system best represents the situation? 

• x + y = 6
  14.80x + 17y = 91

• x + y = 91
  14.80x + 17y = 6

• x + y = 6
  14.80y + 17x = 91

• x + y = 91
  14.80x+ 17y = 6

Select the correct graph for each inequality.

• A

• B

• C

• _D

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)