Systems 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.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?

(Hint: They are the same line.)

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Solve for x and y (use ELIMINATION)

3x + 2y = 16

7x + y = 19

Hint: you want a +2y and a -2y to cancel out!

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

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

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8A

Find the solution to the system of equations:

3x + 2y = 16

y = -7x + 19

Hint: Use substitution (plug whatever y= for y in the other equation, distribute, and solve)

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Which of the following are ways to solve systems of equations? 

• Graphing
• Substitution
• Elimination
• All of the above

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

Which system of linear inequalities is represented by the graph?

(Remember your inequality sign rules -- solid vs. dotted and above vs. below)

• y≤2x-1

  y>-2x+3

• y>2x-1

  y≤-2x+3

• y<2x-1

  y≥-2x+3

• y≤2x-1

  y>2x+3