1.2.4 Journal:
Algebraic
Properties and
Expressions
Analytic
Geometry Sem
1
Journal
N
a
m
e: Keontay Grier
D
a
t
e: 01/13/22
Scenario: The Arcade
Instructions:
● View the video found on page 1 of this journal activity.
● Using the information provided in the video, answer the questions below.
● Show your work for all calculations.
The Bowling/Laser Tag Decision: A group of friends must decide how many games
of bowling and laser tag to play. They decide to play at least one game of bowling
and at least one game of laser tag. Find the costs of different numbers of games to
help Ernest decide how many games to play. Remember, they want to have money
left over for snacks.
What do you know ?
I know that they want to play at least one game of bowling and laser tag. Laser Tag
is $35, bowling is $25 ; only $180 to spend.
What do you want to find out ?
The costs of the different numbers of games to find out the best deal in how many
games Ernest could play, while still having left over money.
What kind of answer do you expect ?
I expect to have Ernest buy two rounds of both activities leaving them with $60
worth of snack money.
Writing Expressions
1. Bowling costs $25 per game. The bowling fans want to play more than 1 game of
bowling. Write an expression to help you find the cost of bowling more than 1 game.
(2 points: 1 point for defining the variable, 1 point for the expression)
● What variable will represent the number of games of bowling? __B__
● Use this variable to write an expression for the cost of bowling an unknown
number of games. __25*B___
2. Laser tag costs $35 per game. The laser tag fans want to play more than 1 game
of laser tag. Write an expression to help you find the cost of playing more than 1
game of laser tag. (2 points: 1 point for defining the variable, 1 point for the
expression)
● What variable will represent the number of games of laser tag? __L___
● Use this variable to write an expression for the cost of playing an unknown
number of games of laser tag. __L*35__
3. The bowling fans want to play just 1 game of laser tag and more than 1 game of
bowling. Write an expression to find the cost of 1 game of laser tag and an unknown
number of games of bowling. (2 points: 1 point for each term)
2B+L
4. The laser tag fans want to play just 1 game of bowling and more than 1 game of
laser tag. Write an expression to find the cost of 1 game of bowling and an unknown
number of games of laser tag. (2 points: 1 point for each term)
2L+B
Evaluating the Expressions
5. If the bowling fans get their way, and the group plays only 1 game of laser tag, will
they have enough money to bowl 5 games? Use your expression from question 3 to
calculate the cost of 1 game of laser tag and 5 games of bowling. (3 points: 1 point
for the answer, 1 point for showing your work, and 1 point for answering the
question)
Show your work:
B*25+L = 160
25*5=125 + 35 = 160
Does the group have enough money to bowl 5 games and play 1 game of laser tag?
If so, will they have any money left over to buy snacks? Explain.
Yes, they would have enough money left, but it would only be $20.
6. If the laser tag fans get their way, and the group bowls only 1 game, will they have
enough money to play 5 games of laser tag? Use your expression from question 4 to
calculate the cost of 1 game of bowling and 5 games of laser tag. (3 points: 1 point
for the answer, 1 point for showing your work, and 1 point for answering the
question)
Show your work:
L*5+35 =200
35*5 =175 + 25 = 200
Does the group have enough money to play 5 games of laser tag and 1 game of
bowling? If so, will they have any money left over to buy snacks? Explain.
No, they will not have enough for 5 games of laser tag and 1 game of bowling
because that amount will equal up to $200. There wouldn’t be enough funds for
snacks at all either.
Taking Time to Reflect
7. If you were in charge of the money, how would you recommend your friends
spend it? Explain why you chose the solution you did. Why do you think it's the most
fair? (3 points: 1 point for stating your recommendation and 2 points for explaining
your reasoning)
Show your work:
I would get two rounds of both activities so that it would be a fair deal and would
leave over a good amount of money for food. I think this is most fair because neither
group can complain that they didn’t play as much as the other, because they were
both able to play twice.
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1.2.4 Journal: Algebraic Properties and Expressions