Systems: Graphing, Substitution, & Elimination

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

When you graph the exact same equation twice,

• you will have no solution. 
• you will have one solution.
• you will have infinite solutions. 
• you will graph a giraffe. 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines
• Same line
• Parallel lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Solve the following system by graphing.  What is the solution?

• (-4, 2)
• (4, 2)
• (2, -4)
• (2, 4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

• (-4, -2)
• (12, -34)
• (4, -18)
• (-2, -6)

Tags

CCSS.HSA.REI.C.6

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

Solve the system of equations.
y = 4x + 1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

y = −2
4x − 3y =18

• (3,-2)
• (-2,3)
• (2,-3)
• (3,3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11