Interpret Systems of Equations

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system: x + y = 21 6x + 4y = 104

• 10 adult tickets, 11 child tickets

• 11 adult tickets, 10 child tickets

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Choose the correct solution in context of the problem.

• Number of adults 12

  Number of children 13

• Adult ticket $12

  Child ticket $13

Ryley sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Luke sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

• Sugar Cookies $8

  Oatmeal Cookies $4

• Sugar Cookies $4

  Oatmeal Cookies $8

• Sugar Cookies $2

  Oatmeal Cookies $6

• Sugar Cookies $6

  Oatmeal Cookies $2

The graph shows the progress of two plant species growing underwater. Blue Species starts 1 foot below sea level and grows 1 foot each day. Red species was planted 4 feet below sea level and grows 1 foot each day. After how many days will both plants be the same height above sea level?

• After 16 days, both plants will be 12 feet tall.

• After 12 days, both plants will be 16 feet tall.

• Both plants will never be the same height at the same time.

Which of the following is not a solution to this system of inequalities?

• (0,-1)

• (0,3)

• (4,0)

• (6,-2)

Tell whether the ordered pair 
(-3, 0) is a solution of the given system.
y ≤ x + 4
y ≥ 2x - 6

• Yes

• No

This system has an infinite number of solutions, TRUE or FALSE?

• TRUE

• FALSE

Which area (white, red, purple, blue) do you think represents the solution to this system of inequalities?
_{Remember that a solution makes BOTH inequalities true at the same time.}

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What is a solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same

What is a no solution in a system of equations?

• The set of values that makes all of the equations in the system true

• A system of equations that has no set of values which will satisfy both equations

• A system of equations that has one intersection

• A system of equations in which both equations are exactly the same