How Would You Solve a System of Equations

What method for solving systems of equations is being represented in the picture?

• graphing

• elimination

• substitution

What method would be best to use to solve a system of equations if the equations are in (or can easily be put in) slope-intercept form (y=mx+b)?

• graphing

• elimination

• substitution

What method might you use to solve a system of equations if at least one of the equations is in y= or x= form?

• graphing

• elimination

• substitution

Which system of equations could represent the following word problem? The sum of two numbers is 30. The first number is twice the second minus 5.

• a + b = 30

  2a = b - 5

• a - b = 30

  2a = b - 5

• a + b = 5

  a = 2b -30

• a + b = 30

  a = 2b - 5

Which of the following correctly name x and y from the situation below? (pick 2 answers) The cost of 2 PS4 games and 3 XBox games is $280.00. The cost of 3 PS4 games and 1 XBox game is 210.00. Find the cost of each of the games.

• x = the cost of one PS4 game

• y = the cost of one Xbox game

• y = the total cost all the games

• x = the number of games purchased

Which equation would you NOT use when setting up your system of equations based on the word problem below if x=PS4 games, y=XBox games? The cost of 2 PS4 games and 3 XBox games is $280.00. The cost of 3 PS4 games and 1 XBox game is 210.00. Find the cost of each of the games.

• x + 3y = 210

• 2x + 3y = 280

• 3x + y = 210

Which system of equations would you use to solve the problem below? A group of friends went to see the new Spider Man movie. Brianna bought 2 bags of popcorn and 3 boxes of candy to share for $19. Haley bought one bag of popcorn and 2 boxes of candy to share for $11. Find the cost of each bag of popcorn and each box of candy if x=popcorn, y=candy.

• 3x + 2y = 19

  x + 2y = 11

• 2x + 3y = 19

  2x + y = 11

• 2x + 3y = 19

  x + 2y = 11

Which solution below represents ONE SOLUTION to a system of equations?

• (-2, 10)

• 2 = 2

• 5 = 3

• x = all real numbers

Which solution below represents INFINITE SOLUTIONS to a system of equations?

• (-2, 10)

• x = 0

• x = all real #'s

• 1 = 1