System of Equations Review Unit 4 Performance Final

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 

• 1s + 3c = 38
  2s + 3c = 52
• 3s + 1c = 38
  3s + 2c = 52
• s + c = 38
  s + c = 52
• 3s + 3c = 38
  1s + 2c = 52

Solve the system by substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)
• (6, −4)
• (6, −1)
• Infinite number of solutions  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
3x − 2y = 7 
y = 2x − 7 

• No solution 
•  (7, 7)  
•  (−7, −7)  
•  (−7, −3)  

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

What is the solution to this system? 

• (3,1)
• No solution
• Infinite solutions
• (1,3)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Solve by elimination
-12x-4y= -8 
  -6x-2y= -4

• no solution 
• (0,0)
• infinite solutions 
• (4,0)

x-y=11
2x+y=19

• (10,-1)
• (-1,10)
• (3,-4)
• (6,7)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Which of the following inequalities represents the graph? 

• x≤-2
  y≤x-3
• y≤-2
  y≤x-3
• x≥-2
  y≤x-3
• y≥-2
  y≤x-3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations.

• Yes

• No