Solving Systems with Substitution Pathway Assessment

The equations of two lines are:

2x-y=4 and y=-2x+8.

What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

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.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to this system?
y= 4x + 3
2x - 3y = 21

• (3,-9)
• (-3,-9)
• (-3,9)
• (0,1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to this system?
x= 7 - 2y
2x + y = 5

• (-1,4)
• (4,-1)
• (1,3)
• (3,1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?
x - y = 6
y= 2x - 5

• (1,3)
• (-1,3)
• (-1,-7)
• (1,-7)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

• (5,-2)
• (5, 2)
• (2,3)
• (3,2)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Give the solution to the system

• (3,1)

• (1,3)

• (-1,3)

• (-1,-3)

What is the solution to this system?
p = 4 - q
4p + q = 1

• (1,1)
• (3,3)
• (-1,5)
• No solution