Systems of equations

Solve for x

5x - 3 = 5x +7

• All real numbers

• No solution

• x = 0

• x = -10

Solve for x

2(x+5) = 2x + 10

• All real numbers

• No solution

• x = 0

• x = 10

Solve for d:
-7(6 + d) = 49

• 13
• 1
• -1
• -13

Tags

CCSS.7.EE.B.4A

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

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.8.EE.C.8B

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

What is the first step to solving the following by substitution?

x = 2y + 5

2x + 3y = 4

• Plug in:

  
  

  2(2y + 5) + 3y = 4

• Plug in:

  
  

  2x + 3(2x + 5) = 4

• Rearrange:

  
  

  x - 2y = 5

  2x + 3y = 4

• Multiply second equation by (-1)

  
  

  x = 2y + 5

  -2x - 3y = -4

What is the first step to solving the system by elimination?

2x + 4y = 6

5x + 4y = 3

• Multiply second equation by -1

• Add equations

• Multiply second equation by 3

• Multiply top and bottom equations by 2

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

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6