Algebra I - 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

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.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

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.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Alexis had $115 and he is earning $50 per week at his summer job.  Eduardo had $130 and is earning $40 per week at his summer job.  Which system of equations could be used to determine how many weeks they must work to have the same amount?

• a(x) = 115 + 40x
  e(x) = 130 + 50x
• a(x) = 115 - 50x
  e(x) = 130 - 40x
• a(x) = 50 + 115x
  e(x) = 40 + 130x
• a(x) = 115 + 50x
  e(x) = 130 + 40x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

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.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

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.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

• x + y = 1550

  y = 4x

• x + y = 1550

  y = x + 4

• y - x = 1550

  y = 4x

• y = 1550 + x

  y = x + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x
  y = 8.40 + x
• y = 9.65x + 43
  y = 8.40x + 58
• y =9.65x
  y = 8.40x
• y = 9.65x - 43
  y = 8.40x - 58

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

CCSS.HSA.SSE.A.1

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

• 4x + 6y = 3

  13.5x - 13y = 6

• x + y = 4

  x - y = 6

• 4x + 6y = 13

  3x + 7y = 13.5

• 4x - 6y = 13

  3x - 7y = 13.5