A1.5 Systems of Equations

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

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

Tags

CCSS.8.EE.C.8A

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8 

• (5, 8)
• (5, -8)
• (-5, -18)
• (-5, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Graph the following equations and find their solution:
y=⅓ x+1
y= 2x -4

• (3,2)
• (0,0)
• (2,3)
• no solution

Tags

CCSS.8.EE.C.8B

Graph the following equations and find their solution:
y= -x +3
y= -x -1

• (2,1)
• (1,2)
• no solution
• infinite solutions

Tags

CCSS.8.EE.C.8B

Solve the following system by substitution:
y= 2x-4
2y+6= 6x

• (-1, -6)
• (1, -2)
• (-1,-4)
• (-4, -12)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by elimination:
-3x -3y =12
-3x +3y = -24

• (3, 4)
• (3, -2)
• no solution
• (2, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using the substitution method.
4x+2y=14
x=1+2y

• (1,0)
• No solution
• (0,1)
• (1,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using the elimination method.
4x-2y=-6
3x+2y=-8

• (-1,-2)
• (-2,-1)
• (2,1)
• (-2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6