Systems of Equations Solutions from Equation

Select the ordered pair which is a solution of the following system of equations:
5x + 7 = 4y
2x - 1 = y + 1

• (5,8)

• (0,0)

• (-1,-5)

• (11,40)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of Equation (x,y)
−4x + 9y = 9
x − 3y = −6 

• (-9,-5)

• (-5,9)

• (9,5)

• (-5,-9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

• Multiply the second equation by 2 and the result to the first equation.

• Multiply the second equation by -2 and the result to the first equation.

• Multiply the first equation by 7 and the second equation by -5 and add the resulting equations.

• Multiply the first equation by -7 and the second equation by -5 and add the resulting equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The substitution method will be used to solve this system of equations.
Which equation would lead to a correct solution with this method?

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system of equations below?

• (2,5)

• (2,11)

• (-2,-11)

• (-2,11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

• 45 minutes

• 90 minutes
  2x + 4y = 315

• 60 minutes
  3x + 4y = 450

• 30 minutes

Tags

CCSS.8.EE.C.8C

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• (1, -3)

Tags

CCSS.8.EE.C.8B