Systems of Linear Equations Elimination and Substitution

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

y = -6x + 5
-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

A system of linear equations is... 

• Math Magic

• One Equation

• Always more than 2 equations

• A set of 2 or more equations

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

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

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

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Tags

CCSS.8.EE.C.8B

Solve the following system by substitution: y = 3x - 4

y = -7x + 6

• none of the other choices

• (1, -1)

• (-1, -5)

• infinite solutions

• (-0.5, -4.15)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6