Systems of Linear Equations Review

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

What is the solution?

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

Tags

CCSS.8.EE.C.8A

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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.HSA.REI.C.6

CCSS.HSA.REI.D.10

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

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

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

Tags

CCSS.HSA.REI.C.5

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

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

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.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

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.HSA.CED.A.2

CCSS.HSA.REI.C.6

Solve this system using any method.

• (-2, 4)
• (-2, -4)
• (2, -4)
• (2,4)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6