Systems of Equations MCAS Review

Sketch a graph of an equation, with the given graph of a line, that has one solution.

Sketch a graph of an equation, with the given graph of a line, that has no solutions.

Which of the following graphs has an equation with infinitely many solutions?

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Solve the system using substitution. ​

x=​ ​ (a)  

y=​ ​ (b)  

• -1
• 2
• -3
• -2
• 3
• 5

Solve the system of equations using substitution.

x=​ (a)  

y=​ ​ (b)  

• 3
• -2
• 1
• 0

Solve the system of equation using elimination.

x = ​ (a)  

y=​ (b)  

• 7
• -1
• 1
• 2
• -2
• 5

Solve the following equation using elimination. ​

x=​ (a)  

y=​ (b)  

• -2
• -6
• 0.5
• 8
• 2
• 4

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15