Elimination Systems Problems

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.8.EE.C.8C

At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, t, is $8 more than 3 times the price of the novel, n, which system of linear equations could be used to determine the price of each book?

• t + n = 54
  t = 3n + 8

• t + n = 54
  n = 3t + 8

• t + n = 54
  t = 3n - 8

• t + n = 8
  t = 3n + 54

Tags

CCSS.HSA.CED.A.3

Solve the system:

x + y = 19

y = 3x - 1

• (14, 5)

• (11, 8)

• (5, 14)

• (8, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

Solve the system:

x + 6y = 17

x - 3y = 8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution

Tags

CCSS.8.EE.C.8B

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

Solve by elimination
-12x-4y= -8 
  -6x-2y= -4

• no solution 

• (0,0)

• infinite solutions 

• (4,0)

Tags

CCSS.8.EE.C.8B

Bailey and Chloe went to the fair. Bailey bought two hotdogs and a soda for $5.50. Chloe bought a hotdog and two sodas for $5.00. Find the cost of a hotdog and the cost of a soda. Use a system of equations to solve the problem.

• hotdog: $2.50

  soda: $1.00

• hotdog: $1.00

  soda: $2.50

• hotdog: $1.50

  soda: $2.00

• hotdog: $2.00

  soda: $1.50

Tags

CCSS.8.EE.C.8C

Solve by elimination. 3x+y=-1 4x-y=-13

• (2 , 5)

• (-2 , 5)

• (2 , -7)

• (-2 , -7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination.

• (-5 , -3)

• (-5 , 3)

• (5 , -3)

• (5 , 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6