Algebra 1 - Chapter 6 Review

What is the solution to the system?

 $y=2x+3\ and\ y=\frac{1}{3}x-2$  

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Tags

CCSS.8.EE.C.8B

What type of lines have no solution?

• Intersecting lines

• Parallel lines

• Two of same line

Tags

CCSS.8.EE.C.8A

What is the solution to the system?

• (1,0)

• (-1,0)

• (0,1)

• (0,-1)

Tags

CCSS.8.EE.C.8B

How many solutions does the system have?

• No solution

• One solution

• Two solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does the system have?

• No solution

• One solution

• Two solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

What is the solution to the system? Use the substitution method.
 $y=2x-1\ and\ 2x+2y=22$  

•  $\left(\frac{23}{4},\frac{21}{2}\right)$  

•  $\left(6,11\right)$  

•  $\left(\frac{5}{2},4\right)$  

•  $\left(4,7\right)$  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system? Use the substitution method.
 $y=x-7\ and\ 3x-3y=21$  

•  $\left(7,0_{ }\right)$  
  

•  $\left(0,-7\right)$  
  

• Infintely many solutions

• No solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The owner of a hair salon charges $20 per haircut while the assistant charges $15 per haircut. Together, the owner and the assistant completed 35 haircuts. The total earnings from haircuts were $600.
Choose the TWO equations that represent the situation.

•  $x+y=35$  

•  $20x+15y=35$  

•  $x+y=600$  

•  $20x+15y=600$  

Tags

CCSS.8.EE.C.8C

What is the solution to the system? Use the elimination method.
 $9x+6y=123\$ 
 $10x-6y=48$  

•  $\left(9,7\right)$  
  

•  $\left(75,92\right)$  
  

• Infintely many solutions

• No solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system? Use the elimination method.
 $x+2y=23$ 
 $-5x-10y=-55$  

•  $\left(6,8\right)$  
  

•  $\left(12,5\right)$  
  

• Infintely many solutions

• No solution

Tags

CCSS.8.EE.C.8B