Standard, vertex and factored forms, and greatest and least values

Answer Key - Grade 11 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Milo has 40 m of fence for a rectangular dog run against a wall, so only three sides need fence. What is the greatest area, in square meters?

   200
2. 2.

   Noah has 36 m of fence to go all the way around a rectangular vegetable bed. What is the greatest area, in square meters?

   81
3. 3.

   Pia has 56 m of fence for a rectangular flower bed against the school wall, fencing three sides. What is the greatest area, in square meters?

   392
4. 4.

   Ren has 52 m of fence to go all the way around a rectangular dog pen. What is the greatest area, in square meters?

   169
5. 5.

   Zee helps plan a sale. The art club sells 30 greeting cards at $2 each. Each $1 rise in price sells 3 fewer. What is the most money, in dollars, it can take in?

   108
6. 6.

   Esme helps plan a sale. The class car wash does 60 washes at $6 each. Each $1 rise in price loses 3 washes. What is the most money, in dollars, it can take in?

   507
7. 7.

   Jun helps plan a sale. The garden club sells 48 seedlings at $2 each. Each $1 rise in price sells 6 fewer. What is the most money, in dollars, it can take in?

   150
8. 8.

   Luz helps plan a sale. The class stand sells 50 cups of lemonade at $1 each. Each $1 rise in price sells 10 fewer. What is the most money, in dollars, it can take in?

   90
9. 9.

   Noah's ball follows h = -16t² + 64t + 4, with h in feet and t in seconds. What is its greatest height, in feet?

   68
10. 10.

    Pia's model rocket follows h = -5t² + 40t + 1, with h in meters and t in seconds. What is its greatest height, in meters?

    81