Two Variable Inequalities Algebra

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

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

• Yes

• No

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

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

Today we're going to look at systems of inequalities (more than one inequality graphed at the same time).
Do you think (2, -2) would be a solution to this system?

• Yes

• No

Select the correct graph for each inequality.

• A

• B

• C

• _D

Select the correct graph for each inequality.

• A

• B

• C

• D

Select the correct graph for each inequality.

• A

• B

• C

• D

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (1, -1)

• (5, 20)

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