4-6 Day 1 Practice

Solve for  $x.$  

 $\frac{1}{2}\left(x+\frac{1}{6}\right)=-\frac{29}{12}$  

*Type the number only.

True or False?

(13, 3) is a solution to the system below.

 $-3x+7y=-18$  

 $4x-4y=8$  

• True

• False

Enterprise rental car agency charges a fee of $48 and then $0.11 per mile. Another rental company, Alamo, charges $0.08 per mile with a $60 fee upfront. Write a system of equations that could be used to find $x,$ the number miles driven and $y,$ the total cost.

•  $y=0.11x+48$  
   $y=0.08x+60$  
  

•  $y=48x+0.11$  
   $y=60x+0.08$  
  

•  $y=0.11x+60$  
   $y=0.08x+48$  
  

•  $y=11x+48$  
   $y=8x+60$  
  

Enterprise rental car agency charges a fee of $48 and then $0.11 per mile. Another rental company, Alamo, charges $0.08 per mile with a $60 fee upfront. How many miles would have to be driven for the prices of the car rental companies to be the same?

Jack and Jill both ordered pizzas from Wayne's Pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 cheese pizzas. Jill paid $8.50 more than Jack for 2 pepperoni pizzas and 4 cheese pizzas.  Write a system of equations that could be used to represent $x,$ the price of a pepperoni pizza and  $y,$ the price of a cheese pizza. 

•  $3x+2y=58.50$  
   $2x+4y=50$  
  

•  $3x+2y=58.50$  
   $2x+4y=67$  
  

•  $2x+3y=58.50$  
   $4x+2y=67$  
  

•  $2x+3y=58.50$  
   $4x+2y=50$  
  

Jack and Jill both ordered pizzas from Wayne's Pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 cheese pizzas. Jill paid $8.50 more than Jack for 2 pepperoni pizzas and 4 cheese pizzas. How much do they charge for a cheese pizza?

Andy and Alex both decided to order prints of their photos. Andy ordered 40 small prints and 10 large prints. He paid a total of $32.50 for his photos. Alex paid $20 for 20 small prints and 8 large prints. Write a system of equations that could be used to find $x,$ the cost of a small print and  $y,$ the cost of a large print.

•  $10x+40y=20$  
   $8x+2y=32.50$  
  

•  $10x+40y=32.50$  
   $8x+20y=20$  
  

•  $40x+10y=20$  
   $20x+8y=32.50$  
  

•  $40x+10y=32.50$  
   $20x+8y=20$  
  

Andy and Alex both decided to order prints of their photos. Andy ordered 40 small prints and 10 large prints. He paid a total of $32.50 for his photos. Alex paid $20 for 20 small prints and 8 large prints. How much does a small print cost?

Two different cleaning companies are competing for business in a small town. Company 1 charges a supply fee of $60 plus $35 an hour. Company 2 charges $55 an hour, but does not have a supply fee. Write a system of equations that could be used to find $x,$ the number of hours and  $y,$ the total cost.

•  $y=60x+35$  
   $y=55x$  
  

•  $y=55x+60$  
   $y=35x$  
  

•  $y=35x+60$  
   $y=55x$  
  

•  $y=60x+35$  
   $y=55$  
  

Two different cleaning companies are competing for business in a small town. Company 1 charges a supply fee of $60 plus $35 an hour. Company 2 charges $55 an hour, but does not have a supply fee. What would the total cost be when the two companies charge the same amount?