Systems of linear inequalities

Match: the overlap is on the left!

• y ≤ -3x   and  y ≤ -2x + 4
• y > -3x   and  y > -2x + 4
• y < 3x   and  y > 2x + 4
• y > 3x   and  y < -2x + 4

Match

• y > -5x - 1/2   and  y ≥ -1/2x - 4
• y > -1/5x - 1/2  and  y ≤ -2x - 4
• y ≥ -5x - 1/2   and  y ≤ -1/2x - 4
• y < -1/5x - 1/2   and  y ≥ -2x - 4

Tags

CCSS.HSA.REI.D.12

Match

• y ≥ x - 1 and y < -x + 4
• y < -x - 1 and y ≥ x + 4
• y > -x - 1 and y ≥ x + 4
• y > x - 1 and y ≥ -x + 4

Tags

CCSS.HSA.REI.D.12

Match

• y > -4/5x - 1 and y ≤ 2/3x + 3
• y ≥ -3/4x - 1 and y ≤ 1/2x + 3
• y < -3/4x - 1 and y < 1/2x + 3
• y < -4/5x - 1 and y ≥ 2/3x + 3

Match

• y < x−2 
  y < 3
• y > -x+2
  y > 3
• y < -x+2
  y < 3
• y < -x+2
  y > 3

Tags

CCSS.HSA.REI.D.12

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

• Solution
• Not a solution

Tags

CCSS.HSA.REI.D.12

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. How many hours can JoAnn tutor and baby-sit and still make at least $66 per week? How much does she make?

• b + t < 15
  3b + 6t > 66
• b + t > 15
  3b + 6t < 66
• 3b + 6t > 15
  b + t < 66
• 3b + 6t < 15
  b + t < 66

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.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

Tags

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Match the system to the graph (solution set is on the left)

• -3x +y ≤ 0 and 2x + y ≤ 4

• y > 3x and y > -2x + 4

• y < 3x and y > -2x + 3

• 3x - y < 0 and 2x + y < 4