3.2.1 Systems of Inequalities

Write an inequality represented by the graph.

• x < - 3
• y < - 3
• x > - 3
• x ≥ - 3

Tags

CCSS.6.EE.B.8

Which point is a solution to both inequalities?

• (-10,-5)

• (-20,25)

• (40,30)

• (40,-10)

Tags

CCSS.HSA.REI.D.12

Which point is in the overlap (solution) of the shaded region?

• (5,0)

• (-1,8)

• (1,15)

• (10,5)

Tags

CCSS.HSA.REI.D.12

Which point is part of the solution?

• (4,0)

• (0,4)

• (10,5)

• (5,10)

Tags

CCSS.HSA.REI.D.12

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x
  y = 8.40 + x
• y = 9.65x + 43
  y = 8.40x + 58
• y =9.65x
  y = 8.40x
• y = 9.65x - 43
  y = 8.40x - 58

Which point is a solution?

• (0, 6)

• (-3, 5)

• (1, 0)

• (-4, 3)

Tags

CCSS.HSA.REI.D.12

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.8.EE.C.8C

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

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

• Yes
• No

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