System of Equations and Inequalities

What are the two linear inequalities graphed here?

• y ≤ - x + 4
   y < x - 2
• y ≤ - x + 4
   y > x - 2 
• y ≤ - 2x + 4
   y > 2x - 2
• y ≤ - x + 2
   y > x - 4

Tags

CCSS.HSA.REI.D.12

Which would be correct describing the solution for this graph of two inequalities?

• Any point that is NOT in the pink or blue is a solution to this system.
• Any point that falls in either the pink or blue is a solution to the system.
• Only a point that is on either boundary line is a solution to this system.
• There is no point that is a solution to this system.

Tags

CCSS.HSA.REI.D.12

Find the solution to the system
y = x - 1
y = 2x - 2

• (-3, 0)
• (-4, -3)
• (-3, 4)
• (1, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?

• (-1, -2)
• (-2, -1)
• There is no solution.
• There are infinite solutions.

Tags

CCSS.8.EE.C.8B

What type of solution does the system below have?
8x - 4y = 12
y = 2x - 3

• One solution
• No solution
• Infinite solutions

Tags

CCSS.8.EE.C.8B

What type of solution does this system have?
2y - 30x = -6
-3y + 45x = 15

• One solution
• No solution
• Infinite solutions

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Use substitution to solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

Solve using substitution.
2x - 2y = 2
y = -5x + 14

• (4, 5)
• (2.5, 1.5)
• (1.5, 5)
• (1, 2.25)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6