Algebra 2 System of Equations

What is the solution to the system of equations?

• (3, 4)

• (-3, -4)

• (-4, -3)

• (4, 3)

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44

• 4x + 2y = 15
  x + y = 44

• x = 2y + 44
  4x = y + 15

• 2x - 4y = 44
  x - y = 15

2 or more linear equations with the same set of variables

• System

• System of Equations

• Linear Equations

• Quadratic Equations

a method to solving a system of equations by getting rid of one of the variables first to solve for the other variable. 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

a method to solving a system of equations using the coordinate grid 

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing

a solution to a system that results in one x value and one y value that will satisfy both equations 

• No Solution

• One Solution

• Infinite Solutions

• Beyond Solutions

Edwin bought 3 cd's and 7 dvd's for $80.  Jessica bought 6 cd's and 3 dvd's for $63.75.  Which system of equations could be used to determine how much one cd and one dvd costs?

• 3x + 7y = 80
  6x + 3y = 63.75

• 3x + 3y = 80
  6x + 7y = 63.75

• 3x + 7y = 63.75
  6x + 3y = 80

• 6x + 7y = 80
  3x + 3y = 63.75

Academy sports equipment store is having a sale on bike helmets and water bottles.  One bike club purchased 10 helmets and 2 water bottles for $155.  Another bike club purchased 12 helmets and 3 water bottles for $189.  Which system of equations could be used to determine the cost of a bike helmet and a water bottle?

• 2h + 10b = 155
  12h + 3b = 189

• 10h + 2b = 189
  12h + 3b = 155

• 10h + 2b = 155
  12h + 3b = 189

• 10h + 3b = 155
  12h + 2b = 189