L1 – 6a
Around the Court
A.SSE.1a, A.REI.3, A.CED.4, N.Q.1, N.Q.2, N.Q.3
Directions: You have been assigned to complete the following 4 problems
around the room. Think of them as cases. You will need a team of lawyers. As
lawyers, your task is to answer each of these problems while justifying your
answers. Show all relevant work below.
1. Selling Lemonade
a. Let x = # of bottles of lemonade. Write an expression to model the
amount of money you have OR represent the situation with a diagram.
b. Would you make money if you sold 55 bottles? Justify your answer.
c. Write an inequality, and then solve it, to find the least amount of bottles
you must sell to make a profit?
d. If you only have the space rented for 4 hours, will you make a profit?
Justification:
e. If you are only able to sell 20 bottles an hour, how many hours will it
take to make a profit?
f. If you made a profit of $334, how many bottles of lemonade did you
sell?
L1 – 6a
Around the Court
A.SSE.1a, A.REI.3, A.CED.4, N.Q.1, N.Q.2, N.Q.3
2. Food Drive
a. Write and solve an equation to find the least number of bags of
apples you can buy. Show all relevant work.
b. Write and solve an equation to find the most number of bags of
apples you can buy. Show all relevant work.
c. Let x = # of bags of apples, which inequality represents the range of
number of bags of apples you can buy? (Circle all that apply.)
4 < x < 10
x < 4 AND x > 10
x > 4 AND x < 10
x > 4 OR x < 10
3. Video Game Arcade
a. What is the most amount of games you can play? Show all
relevant work below.
Justification:
b. If each game takes 10 minutes to play, how long will you be in the
arcade if you use up all of your money?
c. If you are using a 50 minute class period to play in the arcade, will
you use up all of your money?
Justification:
L1 – 6a
Around the Court
A.SSE.1a, A.REI.3, A.CED.4, N.Q.1, N.Q.2, N.Q.3
4. On the Court
a. Write an inequality to represent the amount of shots your team must
make to stay in the game assuming you have already successfully
used all 10 backboard shots. Define your variable.
b. Assuming your team has already has 10 points from the backboard
shots, how many additional shots must your team make to stay in
the game?
c. If your team is averaging 2 shots every 15 minutes and your class is
an hour long, will your team be disqualified at this rate?
Justification:
L1 – 6a
Around the Court
A.SSE.1a, A.REI.3, A.CED.4, N.Q.1, N.Q.2, N.Q.3
KEY
Directions: You have been assigned to complete the following 4 problems
around the room. Think of them as cases. You will need a team of lawyers. As
lawyers, your task is to answer each of these problems while justifying your
answers. Show all relevant work below.
1. Selling Lemonade
a. Let x = # of bottles of lemonade. Write an expression to model the
amount of money you have OR represent the situation with a diagram.
2x – 100 – 24(4) this simplifies to 2x - 196
b. Would you make money if you sold 55 bottles? Justify your answer.
No. If I sold 55 bottles at $2, that would be $110. I already spent 196 so
I am still losing money
c. Write an inequality, and then solve it, to find the least amount of bottles
you must sell to make a profit?
2x – 196 > 0
x > 98 bottles
d. If you only have the space rented for 4 hours, will you make a profit?
No
Justification:
In 4 hours, I am only able to sell 80 bottles which means that I only
collected $160, but I already spent $196.
e. If you are only able to sell 20 bottles an hour, how many hours will it
take to make a profit?
98/20 = 4.9 5 hours
f. If you made a profit of $334, how many bottles of lemonade did you
sell? 2x – 196 = 334, 2x = 530,
x = 265 bottles
L1 – 6a
Around the Court
A.SSE.1a, A.REI.3, A.CED.4, N.Q.1, N.Q.2, N.Q.3
2. Food Drive
a. Write and solve an equation to find the least number of bags of
apples you can buy? Show all relevant work.
5x = 20, x = 4 bags
b. Write and solve an equation to find the most number of bags of
apples you can buy? Show all relevant work.
2x = 20, x = 10 bags
c. Let x = # of bags of apples, which inequality represents the range of
bags of apples you can buy? (Circle all that apply.)
4 < x < 10
x < 4 AND x > 10
x > 4 AND x < 10
x > 4 OR x < 10
3. Video Game Arcade
a. What is the most amount of games you can play? Show all
relevant work below. $10 = 40 quarters.
i. – 8 = 32. 32 = x
Justification: I have $10 (or 40 quarters), getting in costs 8 quarters, so I
have 32 quarters left. Since each game costs 1 quarter, I can play 32
games.
b. If each game takes 10 minutes to play, how long will you be in the
arcade if you use up all of your money? 32 games x 10 minutes =
320 minutes. This is equivalent to 5 hours, 20 minutes.
c. If you are using a 50 minute class period to play in the arcade, will
you use up all of your money? No
Justification: After a 50 minute period, I will have only played 5 games
and spent $3.25 (5*0.25 + 8*0.25)
L1 – 6a
Around the Court
A.SSE.1a, A.REI.3, A.CED.4, N.Q.1, N.Q.2, N.Q.3
4. On the Court
a. Write an inequality to represent the amount of shots your team must
make to stay in the game assuming you have already successfully
used all 10 backboard shots. Define your variable. x = number of
shots made without using the backboard. 10 + 2x > 25
b. Assuming your team has already has 10 points from the backboard
shots, how many additional shots must your team make to stay in
the game? 10 + 2x = 25, 2x = 15, x = 7.5 8 shots needed
c. If your team is averaging 2 shots every 15 minutes and your class is
an hour long, will your team be disqualified at this rate? No
Justification: my team needs only 8 shots, if we make 2 shots every 15
minutes, that means in 1 hour we will make 8 shots exactly and will be
NOT be disqualified
1.
You are trying to raise money for a local
concert by selling lemonade. To sell the
lemonade, you are charged a $100 rental fee
for the space and still need to purchase the
lemonade. You purchase 24 cases of
lemonade for $4 each and sell it for
$2 per bottle.
2.
Your school is doing an annual food drive
and needs fruit. At the grocery store, bags of
apples cost between $2 and $5. You have $20
to spend.
3.
A video game arcade just opened up at
your school. Every student has been given
$10 in quarters to use. (You’re
welcome!) It costs 8 quarters to
enter the arcade and each game
costs 25 cents.
4.
While playing basketball in your PE class,
you are told of new special rules.





Every shot using the backboard will count as 1 point.
All other shots will count as 2 points.
You can only have 10 points from backboard shots.
There will be no 3 pointers.
Teams who score under 25 points are disqualified.