3.7.19 B

The price, x, of an entertainment system at Best Buy is $220 less than twice the price, y, of the same system at Target.  The difference in price between the system and Best Buy and Target is $175.  Which system of equations could be used to determine the costs of each entertainment system?

• x = 2y - 220
  x - y = 175
• y = 2x - 220
  x - y = 175
• x = 2y - 220
  x + y = 175
• x = 2y - 220
  y - x = 175

Tags

CCSS.HSA.CED.A.3

The sum of two numbers is 14. The larger number is 2 less than three times the smaller number. Which system could be solved to find the value of these numbers?

• x+y=14
  y=3x-2
• x+y=2
  3x-2y=14
• x+y=14
  y=2-3x
• x+y=14
  y=3x+2

Tags

CCSS.HSA.CED.A.3

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

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and Large cups for $2.50. If Ashley sold a total of 155 cups for $265, which system could be used to determine the number of small (x) and large (y) cups she sold? 

• x + y = 265 
  1.25x+2.5y=155 
• x + y = 155
  2.5x+1.25y=265
• x + y = 265
  2.5x+1.25y=155
• x + y = 155
  1.25x+2.5y=265

Tags

CCSS.HSA.CED.A.3

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104
• a + c = 104
  6a + 4c = 21
• a + c = 21
  6c + 4a = 104
• a + c = 104
  6c + 4a = 21

Tags

CCSS.HSA.CED.A.3

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.3

A small pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.The cost of a large 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

• (3, -2)
• (8, 1)
• (8, -1)
• (-4, -1)

Tags

CCSS.HSA.REI.C.9

Solve by elimination 
5x+6y= -10
3x-2y= -6

• (-2,0)
• (0,-2)
• (2,0)
• (0,2)

Solve the system:
2x + 3y = -2
3x - 2y = 23

• (5, -4)
• (-4, 5)
• (-5, 4)
• infinite solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6