Writing Systems of Equations

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

Tags

CCSS.HSA.CED.A.3

Suppose you have a total of $2.25 in dimes and nickels.  You have twice as many dimes, as nickels.  Which system of equations could be used to determine how many of each you have?

• 0.10d + 0.05n = 2.25
  d = 2n
• 0.05d + 0.10n = 2.25
  d = 2n
• 0.10d + 0.05n = 2.25
  n = 2d
• 0.05d + 0.10n = 2.25
  n = 2d

Tags

CCSS.HSA.CED.A.3

Edwin bought 3 cd's and 7 dvd's for $80.  Jessica bought 6 cd's and 3 dvd's for $63.75.  Which system of equations could be used to determine how much one cd and one dvd costs?

• 3x + 7y = 80
  6x + 3y = 63.75
• 3x + 3y = 80
  6x + 7y = 63.75
• 3x + 7y = 63.75
  6x + 3y = 80
• 6x + 7y = 80
  3x + 3y = 63.75

Tags

CCSS.8.EE.C.8C

Academy sports equipment store is having a sale on bike helmets and water bottles.  One bike club purchased 10 helmets and 2 water bottles for $155.  Another bike club purchased 12 helmets and 3 water bottles for $189.  Which system of equations could be used to determine the cost of a bike helmet and a water bottle?

• 2h + 10b = 155
  12h + 3b = 189
• 10h + 2b = 189
  12h + 3b = 155
• 10h + 2b = 155
  12h + 3b = 189
• 10h + 3b = 155
  12h + 2b = 189

Tags

CCSS.8.EE.C.8C

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

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?

• 1.5N+0.5S=78.5

  N+S=87

• 1.5N+0.5S=78.5

  1.5N+0.5S=87

• N+S=78.5

  1.5N+0.5S=87

• N+S=78.5

  N+S=87

Tags

CCSS.HSA.CED.A.3

You have a total of 17 coins.  All of your coins are nickels and dimes.  The total value of the coins is $1.35.  Which system of equations represents this situation?

• n+d=17
  .05n+.10d=1.35
• .05n+.10d=17
  n+d=1.35
• .25n+.10d=1.35
  n+d=17

Tags

CCSS.HSA.CED.A.3

The perimeter of a rectangle is forty inches. The length is two inches more than three times the width.

• 2L + 2w = 40

  L = 3w + 2

• 2L + 2w = 40

  w = 3L + 2

• 2L + 2w = 40

  L = 2w + 3

• 2L + 2w = 40

  w = 2L + 3

Tags

CCSS.8.EE.C.8C

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3