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Math Problems
Algebra 1
Identify independent and dependent variables
A small apple orchard hires fruit pickers to harvest their crop. The more fruit pickers they hire, the more apples they can harvest each day.
\newline
a
a
a
= the number of apples harvested each day
\newline
f
f
f
= the number of fruit pickers hired
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
f
f
f
is the independent variable and
a
a
a
is the dependent variable
\newline
(B)
a
a
a
is the independent variable and
f
f
f
is the dependent variable
Get tutor help
Nathan is planning a scavenger hunt for his friends. The number of friends taking part determines how many teams there will be.
\newline
f
=
f =
f
=
the number of friends
\newline
t
=
t =
t
=
the number of teams
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
f
f
f
is the independent variable and
t
t
t
is the dependent variable
\newline
(B)
t
t
t
is the independent variable and
f
f
f
is the dependent variable
Get tutor help
Norma baked a pan of brownies for a potluck. The number of squares she cuts the brownies into will depend on the number of people attending the potluck.
\newline
s
=
s =
s
=
the number of squares Norma cuts the brownies into
\newline
p
=
p =
p
=
the number of people attending the potluck
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
p
p
p
is the dependent variable
Get tutor help
Akira is looking forward to the Wayne Jazz Festival next month and has offered to purchase tickets for all of her friends. The more of her friends who want to attend the festival, the more tickets she will need to purchase.
\newline
f
=
f =
f
=
the number of Akira's friends who want to attend the festival
\newline
t
=
t =
t
=
the number of tickets Akira will need to purchase
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
f
f
f
is the dependent variable
\newline
(B)
f
f
f
is the independent variable and
t
t
t
is the dependent variable
Get tutor help
Janelle is hosting a pizza party for her basketball team. The more team members who attend the party, the more pizzas she will need to order.
\newline
t
=
t =
t
=
the number of team members who attend the pizza party
\newline
p
=
p =
p
=
the number of pizzas Janelle will need to order
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
p
p
p
is the dependent variable
\newline
(B)
p
p
p
is the independent variable and
t
t
t
is the dependent variable
Get tutor help
Brenna is purchasing tickets to go on rides at the Columbia County Fair. The number of rides she can go on is dictated by how many tickets she purchases.
\newline
r
=
r =
r
=
the number of rides Brenna can go on
\newline
t
=
t =
t
=
the number of tickets Brenna purchases
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
r
r
r
is the independent variable and
t
t
t
is the dependent variable
\newline
(B)
t
t
t
is the independent variable and
r
r
r
is the dependent variable
Get tutor help
The students in Maya's Spanish class are planning a trip to Guatemala, during which they will stay with local host families. The more students who go on the trip, the more host families they will need.
\newline
s
=
s =
s
=
the number of students who go on the trip
\newline
f
=
f =
f
=
the number of host families they will need
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
s
s
s
is the independent variable and
f
f
f
is the dependent variable
\newline
(B)
f
f
f
is the independent variable and
s
s
s
is the dependent variable
Get tutor help
In order to earn extra money over the summer, Jacob is working as an English tutor. The amount of money he earns depends on the number of students he tutors.
\newline
m
m
m
= the amount of money Jacob earns
\newline
s
s
s
= the number of students Jacob tutors
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
m
m
m
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
m
m
m
is the dependent variable
Get tutor help
Pamela owns a jewelry shop and sells, among other things, diamond rings. She has a chart that shows how the cost of a diamond corresponds to its size. The bigger the diamond, the greater its cost.
\newline
s
=
s =
s
=
the size of a diamond
\newline
c
=
c =
c
=
the cost of a diamond
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
c
c
c
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
c
c
c
is the dependent variable
Get tutor help
Elizabeth's daughter is a dancer who will be participating in an upcoming recital. For each dance her daughter plans to perform, she will require a different costume.
\newline
d
=
d =
d
=
the number of dances Elizabeth's daughter plans to perform
\newline
c
=
c =
c
=
the number of costumes Elizabeth's daughter will require
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
c
c
c
is the independent variable and
d
d
d
is the dependent variable
\newline
(B)
d
d
d
is the independent variable and
c
c
c
is the dependent variable
Get tutor help
Vijay is raking lawns to earn spending money. The amount of time it takes him to rake a particular lawn determines how much he charges for raking it.
\newline
t
=
t =
t
=
the amount of time Vijay spends raking a lawn
\newline
f
=
f =
f
=
the fee Vijay charges for raking a lawn
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
f
f
f
is the dependent variable
\newline
(B)
f
f
f
is the independent variable and
t
t
t
is the dependent variable
Get tutor help
Over summer vacation, Leroy has to read a novel for English class. He has decided to spend the same amount of time reading every day. The number of hours he spends reading every day will determine how many days it will take him to finish the book.
\newline
h
=
h =
h
=
the number of hours Leroy spends reading every day
\newline
d
=
d =
d
=
the number of days it will take Leroy to finish reading the book
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
h
h
h
is the independent variable and
d
d
d
is the dependent variable
\newline
(B)
d
d
d
is the independent variable and
h
h
h
is the dependent variable
Get tutor help
Melissa is planning a picnic for her coworkers and plans to serve veggie burgers. The more of her coworkers who attend the picnic, the more veggie burgers she will prepare.
\newline
c
c
c
= the number of Melissa's coworkers who attend the picnic
\newline
v
v
v
= the number of veggie burgers Melissa prepares
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
v
v
v
is the independent variable and
c
c
c
is the dependent variable
\newline
(B)
c
c
c
is the independent variable and
v
v
v
is the dependent variable
Get tutor help
Every morning, Matt runs laps around the track for one hour. The number of laps he is able to run in the hour depends on the speed at which he runs.
\newline
r
=
r =
r
=
the number of laps Matt can run in one hour
\newline
s
=
s =
s
=
the speed at which Matt runs
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
s
s
s
is the independent variable and
r
r
r
is the dependent variable
\newline
(B)
r
r
r
is the independent variable and
s
s
s
is the dependent variable
Get tutor help
Greta manages the Morgan Orchard, which produces many different types of fruit, including pears. The number of barrels of pears the orchard will produce depends on the number of pear trees that have been planted in the orchard.
\newline
b
b
b
= the number of barrels of pears the orchard will produce
\newline
p
p
p
= the number of pear trees that have been planted in the orchard
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
b
b
b
is the dependent variable
\newline
(B)
b
b
b
is the independent variable and
p
p
p
is the dependent variable
Get tutor help
Kenneth, a pastry chef, is designing a cake for a retirement party. The number of tiers on the cake will be based on how many guests are expected to attend the party.
\newline
t
=
t =
t
=
the number of tiers the cake will have
\newline
g
=
g =
g
=
the number of guests expected
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
g
g
g
is the dependent variable
\newline
(B)
g
g
g
is the independent variable and
t
t
t
is the dependent variable
Get tutor help
Lila is picking apples for apple pies. The more apples she picks, the more apple pies she will be able to bake.
\newline
a
=
a =
a
=
the number of apples Lila picks
\newline
p
=
p =
p
=
the number of apple pies Lila will be able to bake
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
a
a
a
is the independent variable and
p
p
p
is the dependent variable
\newline
(B)
p
p
p
is the independent variable and
a
a
a
is the dependent variable
Get tutor help
Melissa is taking a standardized test. The more questions she answers correctly, the greater her final test score will be.
\newline
q
q
q
= the number of questions Melissa answers correctly
\newline
s
s
s
= Melissa's final test score
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
s
s
s
is the independent variable and
q
q
q
is the dependent variable
\newline
(B)
q
q
q
is the independent variable and
s
s
s
is the dependent variable
Get tutor help
Hunter brings reusable shopping bags from home whenever he goes to the store. The number of bags he brings is based on how many products are on his shopping list.
\newline
b
b
b
= the number of bags Hunter brings to the store
\newline
p
p
p
= the number of products on Hunter's shopping list
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
b
b
b
is the dependent variable
\newline
(B)
b
b
b
is the independent variable and
p
p
p
is the dependent variable
Get tutor help
Kenny is making goodie bags for his child's birthday party, and he is buying bottles of bubbles for the bags. The quantity of bubbles Kenny purchases will be determined by how many guests attend the party.
\newline
b
=
b =
b
=
the number of bottles of bubbles Kenny purchases
\newline
g
=
g =
g
=
the number of guests
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
b
b
b
is the independent variable and
g
g
g
is the dependent variable
\newline
(B)
g
g
g
is the independent variable and
b
b
b
is the dependent variable
Get tutor help
Vincent is making apple turnovers for his friends. The number of turnovers he can make is determined by how many apples he has at home.
\newline
t
=
t =
t
=
the number of turnovers Vincent can make
\newline
a
=
a =
a
=
the number of apples Vincent has at home
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
a
a
a
is the independent variable and
t
t
t
is the dependent variable
\newline
(B)
t
t
t
is the independent variable and
a
a
a
is the dependent variable
Get tutor help
Brody is planning a scavenger hunt for his friends. The number of friends taking part determines how many teams there will be.
\newline
f
=
f =
f
=
the number of friends
\newline
t
=
t =
t
=
the number of teams
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
f
f
f
is the dependent variable
\newline
(B)
f
f
f
is the independent variable and
t
t
t
is the dependent variable
Get tutor help
Wesley is making mushroom tarts for a Mother's Day brunch. The number of tarts he can make will be determined by how many mushrooms are in the fridge.
\newline
t
=
t =
t
=
the number of tarts Wesley can make
\newline
m
=
m =
m
=
the number of mushrooms in the fridge
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
m
m
m
is the independent variable and
t
t
t
is the dependent variable
\newline
(B)
t
t
t
is the independent variable and
m
m
m
is the dependent variable
Get tutor help
Luna is an avid runner who purchases a new pair of running shoes every
300
300
300
miles. The number of miles Luna runs each year determines how many pairs of shoes she buys in that year.
\newline
m
=
m =
m
=
the number of miles Luna runs in a year
\newline
p
=
p =
p
=
the number of pairs of shoes Luna buys in a year
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
m
m
m
is the independent variable and
p
p
p
is the dependent variable
\newline
(B)
p
p
p
is the independent variable and
m
m
m
is the dependent variable
Get tutor help
Mr. Moreno has several grandchildren, some of whom have outgrown their winter coats. He will be buying new coats for those who outgrew their old ones.
\newline
n
=
n =
n
=
the number of new coats Mr. Moreno will purchase
\newline
o
=
o =
o
=
the number of grandchildren who have outgrown their coats
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
o
o
o
is the independent variable and
n
n
n
is the dependent variable
\newline
(B)
n
n
n
is the independent variable and
o
o
o
is the dependent variable
Get tutor help
Reid is wrapping gifts to earn money for camp. He calculates the amount of wrapping paper he needs based on the number of gifts.
\newline
r
=
r =
r
=
the number of rolls of wrapping paper
\newline
g
=
g =
g
=
the number of gifts
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
r
r
r
is the independent variable and
g
g
g
is the dependent variable
\newline
(B)
g
g
g
is the independent variable and
r
r
r
is the dependent variable
Get tutor help
Kayla works as a server at the Putnam Restaurant. The amount of money she earns during a shift depends on the number of tables she serves.
\newline
m
=
m =
m
=
the amount of money Kayla earns
\newline
t
=
t =
t
=
the number of tables Kayla serves
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
m
m
m
is the dependent variable
\newline
(B)
m
m
m
is the independent variable and
t
t
t
is the dependent variable
Get tutor help
In order to earn extra money over the summer, Craig is working as an English tutor. The amount of money he earns depends on the number of students he tutors.
\newline
m
=
m =
m
=
the amount of money Craig earns
\newline
s
=
s =
s
=
the number of students Craig tutors
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
m
m
m
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
m
m
m
is the dependent variable
Get tutor help
Kiera baked a pan of brownies for a potluck. The number of squares she cuts the brownies into will depend on the number of people attending the potluck.
\newline
s
=
s =
s
=
the number of squares Kiera cuts the brownies into
\newline
p
=
p =
p
=
the number of people attending the potluck
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
p
p
p
is the dependent variable
Get tutor help
In order to earn extra money during the summer, Nathan is working as a house painter. The amount of money he earns depends on the number of houses he paints.
\newline
m
=
m =
m
=
the amount of money Nathan earns
\newline
h
=
h =
h
=
the number of houses Nathan paints
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
m
m
m
is the independent variable and
h
h
h
is the dependent variable
\newline
(B)
h
h
h
is the independent variable and
m
m
m
is the dependent variable
Get tutor help
Maura is making sandwiches for a family picnic. The amount of bread she has determines how many sandwiches she can make.
\newline
b
b
b
= the amount of bread Maura has
\newline
s
s
s
= the number of sandwiches Maura can make
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
b
b
b
is the independent variable and
s
s
s
is the dependent variable
\newline
(B)
s
s
s
is the independent variable and
b
b
b
is the dependent variable
Get tutor help
A small apple orchard hires fruit pickers to harvest their crop. The number of apples harvested each day depends on the number of fruit pickers hired.
\newline
f
=
f =
f
=
the number of fruit pickers hired
\newline
a
=
a =
a
=
the number of apples harvested each day
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
a
a
a
is the independent variable and
f
f
f
is the dependent variable
\newline
(B)
f
f
f
is the independent variable and
a
a
a
is the dependent variable
Get tutor help
Gabrielle and her friends are at an arcade and are redeeming their tickets for prizes. The number of prizes they can get is calculated based on how many tickets they have won.
\newline
p
=
p =
p
=
the number of prizes the friends can get
\newline
t
=
t =
t
=
the number of tickets the friends have won
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
t
t
t
is the dependent variable
\newline
(B)
t
t
t
is the independent variable and
p
p
p
is the dependent variable
Get tutor help
Becky is using homegrown cucumbers to make pickles. The number of pickles she can make is determined by how many cucumbers she has on hand.
\newline
p
=
p =
p
=
the number of pickles Becky can make
\newline
c
=
c =
c
=
the number of cucumbers Becky has
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
c
c
c
is the independent variable and
p
p
p
is the dependent variable
\newline
(B)
p
p
p
is the independent variable and
c
c
c
is the dependent variable
Get tutor help
Jaden is having the carpets in his house cleaned. The cost of the cleaning is calculated from the area of the carpets.
\newline
c
c
c
= the cost of the cleaning
\newline
a
a
a
= the area of the carpets
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
c
c
c
is the independent variable and
a
a
a
is the dependent variable
\newline
(B)
a
a
a
is the independent variable and
c
c
c
is the dependent variable
Get tutor help
John brings reusable shopping bags from home whenever he goes to the store. The number of bags he brings is based on how many products are on his shopping list.
\newline
b
b
b
= the number of bags John brings to the store
\newline
p
p
p
= the number of products on John's shopping list
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
b
b
b
is the independent variable and
p
p
p
is the dependent variable
\newline
(B)
p
p
p
is the independent variable and
b
b
b
is the dependent variable
Get tutor help
A small apple orchard hires fruit pickers to harvest their crop. The number of apples harvested each day depends on the number of fruit pickers hired.
\newline
f
=
f =
f
=
the number of fruit pickers hired
\newline
a
=
a =
a
=
the number of apples harvested each day
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
f
f
f
is the independent variable and
a
a
a
is the dependent variable
\newline
(B)
a
a
a
is the independent variable and
f
f
f
is the dependent variable
Get tutor help
Isabelle works as a server at the Clay Restaurant. The amount of money she earns during a shift depends on the number of tables she serves.
\newline
m
=
m =
m
=
the amount of money Isabelle earns
\newline
t
=
t =
t
=
the number of tables Isabelle serves
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
m
m
m
is the independent variable and
t
t
t
is the dependent variable
\newline
(B)
t
t
t
is the independent variable and
m
m
m
is the dependent variable
Get tutor help
Samuel is making apple turnovers for his friends. The number of turnovers he can make is determined by how many apples he has at home.
\newline
t
=
t =
t
=
the number of turnovers Samuel can make
\newline
a
=
a =
a
=
the number of apples Samuel has at home
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
t
t
t
is the independent variable and
a
a
a
is the dependent variable
\newline
(B)
a
a
a
is the independent variable and
t
t
t
is the dependent variable
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Suzie and Jaden are at the Howard Fair and are waiting in line to ride on the Ferris Wheel. They are trying to figure how long they will need to wait before they get to the front of the line. The more people in the line ahead of them, the longer they will need to wait.
\newline
p
p
p
= the number of people in line ahead of Suzie and Jaden
\newline
w
w
w
= the length of time Suzie and Jaden will need to wait
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
w
w
w
is the dependent variable
\newline
(B)
w
w
w
is the independent variable and
p
p
p
is the dependent variable
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In order to earn extra money during the summer, Zachary is working as a house painter. The more houses he paints, the more money he will earn.
\newline
h
=
h =
h
=
the number of houses Zachary paints
\newline
m
=
m =
m
=
the amount of money Zachary earns
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
m
m
m
is the independent variable and
h
h
h
is the dependent variable
\newline
(B)
h
h
h
is the independent variable and
m
m
m
is the dependent variable
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Billy is planning a birthday party and plans to serve cupcakes. The more of his friends who plan to attend the party, the more cupcakes he will prepare.
\newline
f
=
f =
f
=
the number of Billy's friends who plan to attend the party
\newline
c
=
c =
c
=
the number of cupcakes Billy will prepare
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
f
f
f
is the independent variable and
c
c
c
is the dependent variable
\newline
(B)
c
c
c
is the independent variable and
f
f
f
is the dependent variable
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Ling is an avid runner who purchases a new pair of running shoes every
300
300
300
miles. The number of pairs of shoes Ling buys each year depends on how many miles she runs in that year.
\newline
p
=
p =
p
=
the number of pairs of shoes Ling buys in a year
\newline
m
=
m =
m
=
the number of miles Ling runs in a year
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
p
p
p
is the independent variable and
m
m
m
is the dependent variable
\newline
(B)
m
m
m
is the independent variable and
p
p
p
is the dependent variable
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For a party, Rudy made a pan pizza from scratch. The number of squares he cuts the pizza into will depend on the number of people attending the potluck.
\newline
s
=
s =
s
=
the number of squares Rudy cuts the pizza into
\newline
p
=
p =
p
=
the number of people attending the potluck
\newline
Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
(A)
s
s
s
is the independent variable and
p
p
p
is the dependent variable
\newline
(B)
p
p
p
is the independent variable and
s
s
s
is the dependent variable
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Every day at lunch, Vicky swims laps in the pool for one hour. The faster her speed, the more laps she is able to swim in the hour.
s
=
s =
s
=
the speed at which Vicky swims
l
=
l =
l
=
the number of laps Vicky is able to swim in one hour Which of the variables is independent and which is dependent?
\newline
Choices:
\newline
[
A
]
s
is the independent variable and
l
is the dependent variable
[A] s \text{ is the independent variable and } l \text{ is the dependent variable }
[
A
]
s
is the independent variable and
l
is the dependent variable
\newline
[
B
]
l
is the independent variable and
s
is the dependent variable
[B] l \text{ is the independent variable and } s \text{ is the dependent variable }
[
B
]
l
is the independent variable and
s
is the dependent variable
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