Module 7 Review

• Multiply the second equation by -2, then subtract the equations

• Multiply the first equation by 2, then add the equations

• Multiply the first equation by 2, then subtract the equations

• Multiply the second equation by -2, then add the equations

• c=8 and d= -7

• (6,9)

• 9 and 5

• (8,-7)

• two solutions

• one solution

• no solution

Student counsel is running the concession stand at football games and plan to sell hot dogs and soda. Julie bought 4 hot dogs and 4 sodas which cost her $7. Derek bought 2 hot dogs and 3 sodas and paid $4.

Identify the system of equations and the price of the hot dogs

• 4x-4y=7

  2x+4y=3

  The price of the hot dog is $1.50

• 4x+4y=7

  2x+3y=4

  The price of the hot dog is $1.25

• -4x+4y=7

  4=3y+2x

  The cost of the soda is $0.50

• 7x+4y=2

  3x+2y=4

  The cost of the hot dog is $4.00

Which two lines would create a system of equations with a solution of (4,0)

• Black & Red

• Purple & Black

• Red & Purple

• Red & Blue

This system has how many solutions?

• one solution

• infinitely many

• no solution

• five solutions

• Solution

  (2,-6)

• Solution

  (-5,-3)

• Solution

  (1,4)

• Solution

  (-4,9)

• Solution

  (-6,-2)

• Solution

  (2,-2)

• Solution

  (-2,-6)

• Solution

  (8,-4)

• Solution

  (-4,-2)

• Solution

  (-5,-4)

• Solution

  (-7,3)

• Solution

  (-4,-5)

• one solution

• five solutions

• infinitely many

• no solution