Systems of Linear Inequalities 2

JoAnn likes her job as a baby-sitter, but it pays only $5 per hour. She has been offered a job as a tutor that pays $12 per hour. Because it's summer, her parents insist she works a minimum of 20 hours per week. How many hours can JoAnn tutor and baby-sit and still make at least $90 per week? How much does she make?

• b + t > 20 
  5b + 12t > 90

• b + t > 20 
  5b + 12t < 90

• 5b + 12t > 20
  b + t < 90

• 5b + 12t < 20 
  b + t < 90

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

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

• Yes

• No

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

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

• (1,-1)

• (2,4)

• (-3,2)

• (5,-1)

Will my line be dotted?
5 < x

• Yes

• No

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Which of the following equations match the given graph?

• y ≥ 2/5x + 1

• y ≥ -2/5x + 1

• y≤  2/5x + 1

• y ≥ -2/5x - 1

Tags

CCSS.HSA.REI.D.12

Which of the following points is a solution to the system of equations below?
x + 2y ≥ 4
3x − 2y < 4
Take your time!

• (0, 0)

• (2, 1)

• (2, 2)

• (-1, 1)

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

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

• Solution

• Not a solution

Tags

CCSS.HSA.REI.D.12

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

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Tags

CCSS.HSA.REI.D.12

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing

• x+y≤300
  7.5x+5.5y≥2000

• x+y<300
  7.5x+5.5y≥2000

• x+y≤300
  7.5x+5.5y≤2000

• x+y>2000
  7.5x+5.5y≤300

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12