Interpreting Linear Inequality Systems

Which of the following is a solution to the systems of inequalities?

• (0, 0)

• (-3, 0)

• (2, -5)

• (3, -1)

Which of the following is NOT a solution to the systems of inequalities?

• (0, 0)

• (3, -2)

• (3, -4)

• (4, -4)

Which of the following is a solution to the system of inequalities?

• (1,-4)

• (-3,1)

• (5,0)

• A

• B

• C

• D

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert.  The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

• 26 color, 30 black and white

• 30 color, 35 black and white

• 60 color

• 30 color, 50 black and white

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

Justin wants to make some chocolate milk using whole milk and chocolate syrup. He wanted his chocolate milk to have less than 10 grams of fat and less than 30 grams of sugar. The first mixture was on the amount of fat. He combined x ounces of whole milk containing 1 gram of fat per ounce with y ounces of chocolate syrup containing 0.34 grams of fat per ounce. The second mixture was focused on sugar and consisted of x ounces of whole milk containing 1.4 grams of sugar per ounce and y ounces of chocolate syrup containing 16 grams of sugar per ounce. Use the dropdowns to write a system of inequalities to represent the constraints of this situation. x + 0.34y ​ (a)   1.4x + 16y ​ (b)  

• < 10

• < 30

• > 10

• >30

Justin wants to make some chocolate milk using whole milk and chocolate syrup. He wanted his chocolate milk to have less than 10 grams of fat and less than 30 grams of sugar. The first mixture was on the amount of fat. He combined x ounces of whole milk containing 1 gram of fat per ounce with y ounces of chocolate syrup containing 0.34 grams of fat per ounce. The second mixture was focused on sugar and consisted of x ounces of whole milk containing 1.4 grams of sugar per ounce and y ounces of chocolate syrup containing 16 grams of sugar per ounce. Use the dropdowns to write a system of inequalities to represent the constraints of this situation. x + 0.34y ​ (a)   1.4x + 16y ​ (b)  

• < 10

• < 30

• >> 10

• >30

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