Linear Inequalities and Systems of Inequalities and Linear Programming

• y < 5x + 1 
• y > 5x + 1 
• y ≤ 5x + 1 
• y ≥ 5x + 1  

Tags

CCSS.HSA.REI.D.12

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Tags

CCSS.HSA.REI.D.12

Which one matches the graph?

• 2x - 5y < 10

• 2x - 5y > 10

• 2x - 5y ≥ 10

• 2x - 5y ≤ 10

Tags

CCSS.HSA.REI.D.12

Write the linear inequality in standard form for this situation: Ms. Savva is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13. 

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Are the points on the 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

Select the graph for y ≥ -3.

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12

Which point is not a solution?

• (1, 3)

• (-1, 2)

• (3, -2)

• (5, 0)

Tags

CCSS.HSA.REI.D.12

Which point is a solution?

• (0, 6)

• (-3, 4)

• (1, 0)

• (-4, 3)

Tags

CCSS.HSA.REI.D.12

If you buy pens ($0.55 each) and a binder ($2.39) and only have $10 in your pocket, which inequality can help you figure out how many pens you can buy?

• 10 < 0.55x + 2.39

• 10 ≥ 0.55x + 2.39

• 10 < 0.55x - 2.39

• 10 ≥ 0.55x - 2.39

Tags

CCSS.7.EE.B.4B