Solutions to Inequalities (2 Variables)

Which of the following inequalities matches the graph?

• y > 2x - 2
• y < 2x - 2
• y ≥ 2x - 2
• y ≤ 2x - 2

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.12

Which of the following inequalities matches the graph?

• y ≥ x + 2
• y ≤ x + 2
• y > x + 2
• y < x + 2

Tags

CCSS.HSA.REI.D.12

Aleris is sending a fancy organic fruit basket to her grandma for her birthday.  Apples cost $3 and oranges cost $2.  Aleris can spend no more than $24 on the gift.  
Write an inequality that describes the situation.
Let x = # of apples
Let y = # of oranges

• 3x + 2y < 24
• 3x + 2y > 24
• 3x + 2y ≤ 24
• 3x + 2y ≥ 24

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Yumi is determining the seating arrangement for her big dinner party.  Circular tables will seat 8 guests and rectangular tables can seat 10 guests.  Together, all of the tables must seat at least 162 guests.
Write an inequality that describes the situation.
Let x = # of circular tables
Let y = # of rectangular tables

• 8x + 10y < 162
• 8x + 10y > 162
• 8x + 10y ≤ 162
• 8x + 10y ≥ 162

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (1, -1)
• (5, 20)

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Points on a dashed/dotted line ARE part of the solution set.

• True

• False

Tags

CCSS.HSA.REI.D.12

Are the points on this line part of the solution set or not?

• Yes, they are part of the solution set

• No, they are NOT part of the solution set

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSA.REI.D.12

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

• Yes because it is located in the shaded region.

• No because it is located on the line and the line is dotted.

• Yes because it is located on the line.

• No because it is in the shaded region.

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

• (6,-4)

• (3,9)

• (3,-1)

• (-3,-3)

• (-9,0)

Tags

CCSS.HSA.REI.D.12

• (4,2)

• (-3,-21)

• (2,7)

• (8,4)

• (0,-1)

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12