Unit 2C - Systems

How many solutions does the system below have?

 $2x+3y=8$  

 $6x+9y=24$  

• Infinitely Many

• No Solution

• One Solution

• Two Solutions

Tags

CCSS.8.EE.C.8B

When using elimination to solve this system of equation, which of the following is the correct first step?

 $5x+2y=6$  

 $-10x+6y=2$  

• add the equations together

• subtract the equations

• multiply the first equation by 5

• divide the second equation by 2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When using substitution to solve this system of equations, what is the result of the first step?

 $x=2y+4$  
 $x+3y=6$  

•  $2y+4+3y=6$  

•  $2x+4+3y=6$  

•  $x+3\left(2y+4\right)=6$  

•  $x+3\left(2x+4\right)=5$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

At the grocery store 3 avocados and 5 plantains cost $5.02. The cost of 4 avocados and 3 plantains is $4.53. Which system can be used to determine a, the cost of an avocado, and p, the cost of a plantain?

• $4a+3p=5.02$
  $3a+5p=4.53$
  

• $a+p=5.02$
  $4a+3p=4.53$
  

• $3a+5p=5.02$
  
  $4a+3p=4.53$
  

• $a+p=4.53$
  
  $3a+4p=4.53$

Tags

CCSS.HSA.CED.A.3

Match

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

Tags

CCSS.HSA.REI.D.12

Solve the system below.
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

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

There are donkeys and chickens on a farm.  There are a total of 174 legs, and 50 animals.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174
  4d + 2c = 50
• d + c = 50
  4d + 2c = 174
• d + c = 50
  2d + 4c = 174
• d + c = 174
  2d + 4c = 50

Tags

CCSS.8.EE.C.8C

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

What is the value of the y-coordinate of the solution to this system of equations?

 $2x-5y=20$  

 $2x+3y=4$  

• -2

• 0

• 2

• 4