Solutions to Variables

Which equation matches the table?

• y = 3x + 9

• y = 9x + 9

• y = 9 + x

• y = 9x - 3

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

Which of the following inequalities matches the graph?

• y > 2x - 2

• y < 2x - 2

• y ≥ 2x - 2

• y ≤ 2x - 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

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

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (1, -1)

• (5, 20)

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.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.

Which ordered pairs are in the solution set of the linear inequality below?

y>rac{2}{3}x-3

• (6,-4)

• (3,9)

• (3,-1)

• (-3,-3)

• (-9,0)

Which ordered pairs are in the solution set of the inequality below?

• (4,2)

• (-3,-21)

• (2,7)

• (8,4)

• (0,-1)