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Math Problems
Algebra 1
Counting principle
Maria is putting together an art kit. There are
4
4
4
sets of chalk and
4
4
4
sets of watercolors to choose from. How many different art kits can Maria set up?
\newline
_____ art kits
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Kinsley is creating a media center. There are
5
5
5
televisions and
2
2
2
sets of speakers to choose from. How many different entertainment centers can Kinsley make?
\newline
_
_
_
_
_
_
_
_
_
\_\_\_\_\_\_\_\_\_
_________
entertainment centers
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Alex needs
80
c
m
80 \mathrm{~cm}
80
cm
of thread for a sewing project. The thread is on a spool with a circumference of
10
c
m
10 \mathrm{~cm}
10
cm
.
\newline
How many times must Alex unwind the spool to get the length of thread he needs?
\newline
□
\square
□
times
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Matthew coordinates games for a youth soccer league. After Matthew has figured out which teams are playing, there are still plenty of decisions to make. The league plays in
2
2
2
parks, and each one has
9
9
9
soccer fields. How many different ways can Matthew organize a game?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
ways
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Pamela is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's
2
2
2
favorite restaurants, and then they will go shopping at one of her grandmother's
9
9
9
favorite stores. Assuming the order of the activities doesn't matter, how many different ways can Pamela plan her grandmother's birthday outing?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
ways
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Stanley's video game lets him design the appearance of his character. There are
3
3
3
different bodies and
4
4
4
faces to choose from. How many different characters can Stanley design?
\newline
_
_
_
\_\_\_
___
characters
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Sam is making a short film. There are
4
4
4
leading actors and
5
5
5
leading actresses to choose from. How many different ways can Sam cast this short film?
\newline
_____ short films
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Eli is planning a workout. He needs to choose one of the
3
3
3
cardio routines and one of the
6
6
6
resistance training routines. How many different workouts can Eli plan?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
workouts
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Samir is making a fruit parfait. There are
3
3
3
types of yogurt and
5
5
5
types of fruit to choose from. How many different parfaits can Samir make using one of each ingredient?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
parfaits
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Regan is making a quilt for a friend's new baby. She knows how to sew
3
3
3
quilt patterns and can choose from
2
2
2
color schemes. How many different quilts is it possible for Regan to sew?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
quilts
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While having his kitchen remodeled, Marvin discusses the options with his contractor. There are
3
3
3
countertops and
5
5
5
sinks to choose from. How many different kitchens can Marvin design?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
kitchens
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Caden is selecting animals for a new petting zoo. There are
2
2
2
ponies and
5
5
5
rabbits to choose from. In how many different ways can Caden create a petting zoo with one of each animal?
\newline
_____ petting zoos
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A girls' choir is choosing a uniform for their concert. There are
5
5
5
options for the uniform's blouse and
3
3
3
skirt options. How many different uniforms can the girls' choir choose?
\newline
_____ uniforms
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Michelle is putting together a business outfit. There are
7
7
7
pairs of pants and
2
2
2
dress shirts to choose from. How many different outfits can Michelle put together?
\newline
_
_
_
_
\_\_\_\_
____
outfits
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Eve is making soup. There are
2
2
2
types of broth and
3
3
3
types of meat to choose from. How many different soups can Eve make using one of each ingredient?
\newline
_____ soups
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Diego coordinates games for a youth soccer league. After Diego has figured out which teams are playing, there are still plenty of decisions to make. The league plays in
2
2
2
parks, and each one has
3
3
3
soccer fields. How many different ways can Diego organize a game?
\newline
_____ ways
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Shawn is hosting a game night. There are
2
2
2
card games and
7
7
7
board games to choose from. If Shawn and his friends want to play one of each type of game, in how many different ways can they choose the games?
\newline
_____ game nights
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Sandra is gathering workout clothes. There are
5
5
5
pairs of running shoes and
3
3
3
workout shirts to choose from. How many different workout outfits can Sandra make?
\newline
_____ workout outfits
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Norma is making a short film. There are
2
2
2
leading actors and
7
7
7
leading actresses to choose from. How many different ways can Norma cast this short film?
\newline
_____ short films
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Britney is ordering a single-topping pizza to share with friends. There are
4
4
4
toppings to choose from and
4
4
4
crust choices. How many different pizzas can Britney order?
\newline
_____ pizzas
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Sophie is making a quilt for a friend's new baby. She knows how to sew
3
3
3
quilt patterns and can choose from
2
2
2
color schemes. How many different quilts is it possible for Sophie to sew?
\newline
_____ quilts
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Abdul is ordering breakfast in a restaurant. There are
6
6
6
types of eggs and
2
2
2
types of toast to choose from. How many different breakfasts can Abdul order?
\newline
_____ breakfasts
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Carmen is putting together a business outfit. There are
2
2
2
pairs of pants and
2
2
2
dress shirts to choose from. How many different outfits can Carmen put together?
\newline
_
_
_
_
\_\_\_\_
____
outfits
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Joy, a fashion designer, is planning a photo shoot. The shoot only requires one photographer and one model, but Joy knows
2
2
2
photographers and
5
5
5
models. How many different photo shoots is it possible for Joy to plan?
\newline
_
_
_
_
\_\_\_\_
____
photo shoots
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Ms. Stafford is hiring teachers for the science department at a new high school. There are
2
2
2
biology teachers and
2
2
2
chemistry teachers to choose from. How many different ways can Ms. Stafford hire a staff that includes one teacher in each subject?
\newline
_
_
_
_
\_\_\_\_
____
ways
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Brandon works at a stable and is getting a horse ready to ride. There are
2
2
2
saddles and
5
5
5
saddle blankets in the tack room. Using exactly one of each item, how many different ways can Brandon prepare the horse?
\newline
_
_
_
_
\_\_\_\_
____
ways
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Savannah just got a cell phone and is excited to customize it. There are
5
5
5
different ringtones and
3
3
3
different wallpapers available on the phone. How many different ways can Savannah customize the cell phone?
\newline
_
_
_
_
\_\_\_\_
____
ways
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Laura has an assortment of mismatched dishes, so the dinner table looks different from one night to the next. There are
2
2
2
kinds of plates and
2
2
2
kinds of glasses. How many different appearances can a place setting have?
\newline
_
_
_
_
\_\_\_\_
____
appearances
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Sandra is ordering a birthday cake for a friend. There are
2
2
2
cake flavors and
2
2
2
frosting flavors to choose from. How many different cakes can Sandra order?
\newline
_
_
_
_
\_\_\_\_
____
cakes
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Roxanne is ordering a new skateboard. There are
3
3
3
shapes to choose from and
5
5
5
types of wheels. How many different skateboards can Roxanne create?
\newline
_
_
_
_
\_\_\_\_
____
skateboards
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Max is playing a computer game that lets him customize a story. There are
3
3
3
different eras and
6
6
6
locations to choose from. How many different stories can Max construct?
\newline
_
_
_
_
\_\_\_\_
____
stories
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Molly is planning a day out for her grandmother's birthday. They are going to have lunch at one of her grandmother's
3
3
3
favorite restaurants, and then they will go shopping at one of her grandmother's
6
6
6
favorite stores. Assuming the order of the activities doesn't matter, how many different ways can Molly plan her grandmother's birthday outing?
\newline
_
_
_
_
\_\_\_\_
____
ways
Get tutor help
Reggie is ordering a sandwich from a deli. There are
2
2
2
types of meat to choose from and
3
3
3
cheeses, and Reggie must pick one of each. How many different sandwiches can Reggie order?
\newline
_
_
_
_
\_\_\_\_
____
sandwiches
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Ethan is creating a media center. There are
2
2
2
televisions and
6
6
6
sets of speakers to choose from. How many different entertainment centers can Ethan make?
\newline
_
_
_
_
\_\_\_\_
____
entertainment centers
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Kendra's video game lets her design the appearance of her character. There are
2
2
2
different bodies and
3
3
3
faces to choose from. How many different characters can Kendra design?
\newline
_
_
_
_
\_\_\_\_
____
characters
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Rodrigo is buying a new car. There are
4
4
4
different models to choose from, each with
2
2
2
exterior colors available. How many different cars can Rodrigo order?
\newline
_
_
_
_
\_\_\_\_
____
cars
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Stefan is designing a web page. There are
2
2
2
background colors and
2
2
2
fonts to choose from. How many different designs can Stefan create?
\newline
_
_
_
_
\_\_\_\_
____
designs
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Carmen, a singer, is putting together a backup band for a recording and posted an advertisement looking for musicians. She got replies from
2
2
2
lead guitarists and
4
4
4
drummers. How many different backup bands is it possible for Carmen to put together?
\newline
_
_
_
_
\_\_\_\_
____
bands
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Katy works at a stable and is getting a horse ready to ride. There are \(4\) saddles and \(5\) saddle blankets in the tack room. Using exactly one of each item, how many different ways can Katy prepare the horse?
\newline
_
_
_
_
\_\_\_\_
____
ways
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Jeanette just moved from Mexico City to Helsinki and needs to buy a complete set of winter gear. The store has
7
7
7
kinds of parkas and
2
2
2
kinds of snow boots. If Jeanette buys one of each item, how many different sets of winter gear can she buy?
\newline
_
_
_
_
\_\_\_\_
____
sets
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Monique wants to check out as many books by her favorite author as possible. She can check out
3
3
3
books at a time from her library, where there are
6
6
6
books available written by her favorite author.
\newline
How many different sets of
3
3
3
of these books can Monique choose?
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A basketball team has
10
10
10
players. Before each game, the coach picks
2
2
2
of those players to carry the team's water jug.
\newline
How many different groups of
2
2
2
players can the coach pick?
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Five runners need to be arranged in
5
5
5
lanes for a race so that there is a runner in each lane.
\newline
How many unique ways are there to arrange the runners in the
5
5
5
lanes?
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Neha is playing a word game where she's trying to make
3
3
3
-letter words using letters in the word TIGER. She cannot use the same letter twice.
\newline
How many unique ways are there to arrange
3
3
3
letters from the word TIGER?
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Tracy is packing a lunch box to take to school. Tracy can make
2
2
2
kinds of sandwiches, and there are
2
2
2
kinds of fruit in the house. Assuming Tracy packs one of each item, how many different lunches can she pack
?
?
?
_____ lunches
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