Standard: A-CED.1
A server earns x dollars per hour at a restaurant in addition to money made from tips. If during a 6-hour shift, the server earns $164.50 in tips, what is the minimum amount the server must earn per hour to make at least $184 total during the shift?
A-CED.1
A beekeeper observes the growth of a bee population in a beehive. The beekeeper finds that the initial population of 125 bees doubles each week.
Which equation can be used to find the number of weeks, w, it takes for the number of bees in the beehive to reach 2,500?
A-CED.2
A caterer charges a flat fee in addition to $45 per person to serve food at a family reunion. Which equation represents the total cost of hiring the caterer, T, based on the number of people, p, attending the family reunion?
A-CED.3
A president of an outdoor club buys bags of trail mix and juice boxes. Each bag of trail mix costs $3.50, and each juice box costs $1.75.
Which two combination of bags of trail mix and juice boxes total $24.50?
A-CED.3
Anna is selling tickets to the school's basketball game. On the first day, she sells 5 adult tickets and 6 child tickets for $58. On the second day, she sells 8 adult tickets and 11 child tickets for $97. Which system of equations can be used to determine the cost of each (x) adult ticket and each (y) child ticket?
A-CED.3
Employees of a furniture manufacturing company spend no more than 125 hours each day building a combination of tables and chairs.
It takes 5 hours to build a table and 2 hours to build a chair.
The employees must build a combined total of at least 32 tables and chairs each day.
If t represents the number of tables build and c represents the number of chairs built, which system of inequalities represents the scenario?
A-REI.4
Write 2x2 - 16x + 14 = 0 in the form (x - p)2 = q by completing the square.
A-REI.4a
Write x2 - 8x +12 = 0 in the form (x - p)2 = q by completing the square.