Systems of Inequalities Introduction

Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?

• x + y ≥ 6
  32x + 20y ≤ 150

• x + y ≥ 632
  x + 20y ≥ 150

• x + y ≤ 6
  32x + 20y ≤ 150

• x + y ≤ 6
  32x + 20y ≥ 150

Which ordered pair(s) is a solution to the given system?

• (5,0)

• (1,-3)

• (3,3)

• (2,1)

Which system of linear inequalities is represented by the graph?

• y≤2x-1
  y>-2x+3

• y>2x-1
  y≤-2x+3

• y<2x-1
  y≥-2x+3

• y≤2x-1
  y>2x+3

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

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

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

• Solution

• Not a solution

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Is (0,0) a solution to the system?

• Solution

• Not a solution

Which point below is NOT part of the solution set?

• (0, 0)

• (5, 1)

• (-1, -3)

• (20, -5)

Which ordered pair(s) is a solution to the given system?

• (5, -5)

• (0,0)

• (-5, -2)

• (3,-3)