2 Variable inequality

Check all boxes for understanding

• if the inequality is underlined, it is a solid boundary line

• if the inequality is NOT underlined, it is a dashed boundary line

• You can find which direction to shade the inequality by checking a point on either side of the line. If the point is true, shade that direction. If the point is not true, shade the other direction.

• If the point is in the shaded region OR on a solid line, it is a solution.

• If the point is in the non-shaded region OR on a dashed line, it is not a solution

Which point below is NOT part of the solution set?

• (0, -2)
• (1, 1)
• (3, 3)
• (2, 10)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which point below is NOT part of the solution set?

• (3, 4)
• (0, 4)
• (-2, 6)
• (6, 2)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Is (-2, 4) a solution to this inequality?

• Yes
• No

Tags

CCSS.HSA.REI.D.12

Is (0, 0) a solution to this inequality?

• Yes
• No

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Is (1, 6) a solution to this inequality?

• Yes
• No

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Are the points on the boundary 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.CED.A.3

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.2

CCSS.HSA.CED.A.3

In order to make some extra money, Justin is mowing lawns.  He charges $11 to mow a small lawn and $26 to mow a large lawn.  He would like to make at least $130.
Write an inequality that describes the situation.
Let x = # of small lawns mowed
Let y = # of large lawns mowed

• 11x + 26y ≥ 130
• 11x + 26y ≤ 130
• 11x + 26y > 130
• 11x + 26y < 130

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