Solve Systems of Equations with Elimination

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

• 3x + 2y = 315

  2x + 4y = 450

• 3x + 2y = 450

  2x + 4y = 315

• 2x + 2y = 315

  3x + 4y = 450

• 3x - 2y = 315

  2x - 4y = 450

Tags

CCSS.8.EE.C.8C

On Monday Mr. Beignet bought 10 coffees and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of each item?

• 10c + 5d = 14.25

  5c + 10d = 16.50

• 10c + 5d = 16.50

  5c + 10d = 14.25

• c + d = 10

  5c + 10d = 16.50

• c + d = 5

  5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

What is the solution to the system?

• (0, 3)

• (3, 0)

• (3, 1)

• (1, 3)

Tags

CCSS.8.EE.C.8B

• (4, 6)
• (-4, -6) 
• (-4, 6) 
• (4, - 6) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination Method:

4x+ 9y = 28

-4x -y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What would be the first step in finding the solution with elimination?

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using Elimination Method:

4x + 9y = 28

-4x - y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

• (6,7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system of equations? Choose the correct answer from the drop-down menu to complete the statement. The solution to the system of equations ​ (a)   .

• is located at (6.5, -0.5)

• does not exist

• is infinitely many

• is located at (-0.5, 6.5)

Tags

CCSS.8.EE.C.8B

Select the correct solution to the following system of equations.

• (-7,7)

• (-7,-7)

• No Solution

• Infinite Solutions

• (7,-7)

Tags

CCSS.8.EE.C.8B