Solving System of Equations by Graphing

How many solutions are there?

y = -2x + 5

2x + y = 7

• 0

• 1

• IMS

Tags

CCSS.8.EE.C.8B

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which system of equations could be used to determine the cost of the coffee, c and doughnuts, d?

• 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

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which system of equations can be used to determine s, the number of senior citizen tickets sold and c, the number of children tickets sold?

• s + 3c = 38

  2s + 3c = 52

• 3s + 1c = 38

  3s + 2c = 52

• s + c = 38

  s + c = 52

• 3s + 3c = 38

  1s + 2c = 52

Tags

CCSS.HSA.CED.A.3

What is the proper way to set up the equation to begin solving?

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7

Tags

CCSS.8.EE.C.7B

Determine how many solutions the system has.
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

• I am Spartacus!

Tags

CCSS.8.EE.C.8A

Given the system of equations, what variable would be the easiest/quickest to eliminate?

• x 

• y 

• Either one, they both require the same amount of steps.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

To eliminate a variable in the given system, which of the following statements is true?

• You will multiply only the top equation by an integer.

• You will multiply only the bottom equation by an integer.

• You will multiply both equations by integers.

• There is no need to multiply.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Given the system of equations, what would be the most useful/efficient integer to multiply the first equation by to eliminate the x variable?

• 4

• 2

• 1

• -2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions does the system have?

-2x - 7y = -10

4x + 14y = 20

• Exactly one solution

• No Solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

There are 50 donkeys and chickens on a farm.  There are a total of 174 legs.  Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174 4d + 2c = 50

• d + c = 50 4d + 2c = 174

• d + c = 50 2d + 4c = 174

• d + c = 174 2d + 4c = 50

Tags

CCSS.8.EE.C.8C