Systems of Equations by Substitution and Graphing

If a system of equations has no solution, what does the graph look like?

• Intersecting Lines

• Parallel Lines

• Skew Lines

• Same Line Twice

Tags

CCSS.8.EE.C.8A

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

• Intersecting Lines

• Same Line

• Parallel Lines

• None of the Above

Tags

CCSS.8.EE.C.8A

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  Which system of equations represents the situation?

• 2x + 3y = 55
  2x + 5y = 3

• x + y = 55
  x - y = 3

• x + y = 3
  x - y = 55

• (x)(y) = 55
  x - y = 3 

Tags

CCSS.HSA.CED.A.3

What does the solution of a linear system tell you?

• The slope

• The y-intercept

• The point of intersection

• Graphing and substitution

Tags

CCSS.8.EE.C.8B

What do inconsistent (parallel) lines look like when solving a system by substitution?
Only one of the following could be an example:

• 0=3

• 0=0

• 3=3

Tags

CCSS.8.EE.C.8B

What ordered pair represents the solution to this system of linear equations? (use substitution)
3y = 2x + 2
y = (4/3)x + 1

• ( -½ , ⅓ )

• ( -⅓ , ½ )

• ( ⅓ , -½ )

• ( ½ , -⅓ )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Two numbers have a sum of 25.

One number is five more than the other number. Find the numbers.

Which system best represents the information?

• x + y = 25

  x = 5 + y

• xy = 25

  x = 5 + y

• x + y = 25

  x = 5y

• xy = 25

  x = 5y

Tags

CCSS.HSA.CED.A.3

Diane is 23 years older than her daughter Amy. In 6 years, Diane will be twice as old as Amy. How old are they now?

Which system best represents the problem?

• D = 23 + A

  D - 6 = 2(A - 6)

• D = A - 23

  D - 6 = 2(A - 6)

• D = A - 23

  D + 6 = 2(A + 6)

• D = 23 + A

  D + 6 = 2(A + 6)

Tags

CCSS.8.EE.C.8C

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

• 10c + 5d = 14.25
  5c + 10d = 16.50

• 10c + 5d = 16.50
  5c + 10d = 14.25

• c + d = 10
  5c + 10d = 16.50

• c + d = 5
  5c + 10d = 16.50

Tags

CCSS.8.EE.C.8C

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A