Linear Systems and Systems of Inequalities

Solve the system using any method. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• No solutions

• (6, 4) 

Tags

CCSS.8.EE.C.8B

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

Your family goes to a southern style restaurant for dinner. There are 6 total people in your family. Some order chicken for $14 and the rest order steak for $17. The total bill is $99. Write a system that could represent this situation.

• c + s = 6
  14c + 17s = 99

• c + s = 99
  14c + 17s = 6

• c + s = 6
  17c + 14s = 99

• c + s = 99
  17c + 14s = 6

Tags

CCSS.HSA.CED.A.3

When you graph an inequality, you used a solid line when you use which symbols?

• ≤, ≥ 

• <, >

Tags

CCSS.HSA.REI.D.12

Solve the following system of equations using the elimination method:

• (-2, 1)

• no solutions

• (-2, 0)

• (-1, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which of the following shows the solution to the system?
 y= -1/4x + 4
y = 2x + 2

• A

• B

• C

• D

Tags

CCSS.8.EE.C.8B

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, 20)

• (3, 5)

• (0, -2)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

Tags

CCSS.8.EE.C.8B

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines

• the same line 

• Intersecting lines

Tags

CCSS.8.EE.C.8A

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