Resources

Resources

Solve one-step and two-step linear equations: word problems

Cooper is going on vacation and taking his dog Pickles along. Pickles eats

3

cups of Hungry Hound dog food each day. Cooper wants to know how many days he can feed Pickles from a

15

-cup bag of Hungry Hound.

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Which equation can Cooper use to find the number of days

d

he can feed Pickles from the bag.

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\frac{d}{3} = 15

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3d = 15

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d + 3 = 15

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d - 3 = 15

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Solve this equation for

d

to find the number of days Cooper can feed Pickles.

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At the school's holiday craft fair, Bernie and his classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the

7

students at the table. Each student gets

5

licorice ropes to decorate the roof of his or her gingerbread house.

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Which equation can you use to find the number of licorice ropes

r

that came in the bag?

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7r = 5

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r + 7 = 5

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r/7 = 5

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r - 7 = 5

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Solve this equation for

r

to find the number of licorice ropes that came in the bag.

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Sanjay's dad has asked Sanjay and his little brothers to rake the leaves in their yard. They rake all afternoon and fill a number of bags with leaves. Then, when Sanjay isn't looking, his brothers empty

4

of the bags to make a giant leaf pile! Sanjay is frustrated that only

6

bags of leaves remain.

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Which equation can you use to find the total number of bags

b

that Sanjay and his brothers fill with leaves?

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b/4 = 6

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4b = 6

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b - 4 = 6

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b + 4 = 6

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Solve this equation for

b

to find the total number of bags Sanjay and his brothers fill with leaves.

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At Wild West amusement park, Grace's favorite ride is the Blazing Bullet roller coaster. There are

10

cars on the Blazing Bullet, and each car can hold the same number of people. A total of

40

people can ride on the Blazing Bullet at one time.

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Which equation can you use to find the number of people

n

each car can hold?

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n/10 = 40

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n - 10 = 40

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10n = 40

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n + 10 = 40

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Solve this equation for

n

to find the number of people each car can hold.

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Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices

4

days per week. Each of those days, they practice for

3

hours in the morning and practice again in the afternoon. They practice for a total of

20

hours each week.

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Which equation can you use to find

h

, the length of each afternoon practice in hours?

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3(h+4)=20

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4(h+3)=20

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3h+4=20

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4h+3=20

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How long is each afternoon practice?

Amy used her first

2

tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs

3

tokens per game, and Amy started with a bucket of

35

game tokens. Which equation can Amy use to find how many games of Balloon Bouncer,

g

The Sea & Sun Souvenir Shop is known for its specialty salt water taffy. Every week, Tara fills a gigantic jar with taffy to put in the storefront display. This week, she puts in

400

pieces of cherry taffy but still has more space to fill. Tara fills the rest of the jar with banana taffy, her favorite flavor. In all, Tara puts

850

pieces of taffy in the jar.

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Which equation can you use to find how many pieces of banana taffy

b

are in the jar?

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b + 400 = 850

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b - 400 = 850

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400b = 850

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\frac{b}{400} = 850

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Solve this equation for

b

to find how many pieces of banana taffy are in the jar.

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On a sunny fall day, Jerry and his family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs

20

pounds. In all, Jerry's family picks

44

pounds of apples.

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Which equation can you use to find the weight

w

of the Golden Delicious apples?

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\frac{w}{20} = 44

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w - 20 = 44

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20w = 44

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w + 20 = 44

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Solve this equation for

w

to find the weight of the Golden Delicious apples.

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Eva maintained an average speed of

v_1

miles per hour for the first

t_1

hours of her road trip. For the next

t_2

hours of the trip, she drove at an average speed of

v_2

. Eva drove a total of

D

T

hours. Which of the following systems of equations could be used to find how many miles Eva drove in the first

t_1

hours of the trip?

Jules is making a peanut butter sandwich with two slices of bread and chunky peanut butter. If the mass of two slices of bread is

60

grams and the mass of the entire sandwich is

92

grams, which of the following equations can be used to find

x

, the amount of peanut butter Jules used in grams?

Hassan's energetic Uncle Bob loves roller coasters, and he wants to ride them all! One day, Hassan prints out a list of all the roller coasters in the United States. After reading it with Uncle Bob, they discover he has already ridden

93

of the coasters. There are still

400

coasters left to ride.

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c

to find the number of roller coasters on Hassan's list.

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____ roller coasters

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Ariana is a citizen scientist for a monarch butterfly project. Every week, she visits a local patch of milkweed and counts the number of monarch larvae on the plants. Last week, Ariana didn't count many larvae. This week, she counts

19

larvae on the milkweed. For both weeks, Ariana's total count is

26

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Which equation can you use to find the number of larvae

n

Ariana counted last week?

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(A)

\frac{n}{19} = 26

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(B)

n + 19 = 26

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(C)

n - 19 = 26

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(D)

26

0

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Solve this equation for

n

to find the number of larvae Ariana counted last week.

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26

2

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After begging her parents for

3

years, Elena is finally going to clown college! On the first day, her juggling instructor divides a box of bean bags equally among the

16

clowns in Elena's class. Each clown gets

6

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Which equation can you use to find the number of bean bags

b

in the instructor's box?

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b - 16 = 6

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16b = 6

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\frac{b}{16} = 6

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b + 16 = 6

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Solve this equation for

b

to find the number of bean bags in the instructor's box.

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After begging his parents for

3

years, Bryant is finally going to clown college! On the first day, his juggling instructor divides a box of bean bags equally among the

13

clowns in Bryant's class. Each clown gets

5

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Which equation can you use to find the number of bean bags

b

in the instructor's box?

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b + 13 = 5

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b - 13 = 5

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13b = 5

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\frac{b}{13} = 5

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Solve this equation for

b

to find the number of bean bags in the instructor's box.

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Pedro is on the well-known reality show, Kid Castaway, in which a group of kids spends a week learning to survive on a tropical island. On Monday, the kids gather a bunch of coconuts to eat. They divide the coconuts evenly among all

16

kids in the group. Each kid gets

5

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Which equation can you use to find the number of coconuts

c

the kids gather?

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\frac{c}{16} = 5

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16c = 5

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c - 16 = 5

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c + 16 = 5

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Solve this equation for

c

to find the number of coconuts the kids gather.

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Dakota's energetic Uncle Bob loves roller coasters, and he wants to ride them all! One day, Dakota prints out a list of all the roller coasters in the United States. After reading it with Uncle Bob, they discover he has already ridden

90

of the coasters. There are still

403

coasters left to ride.

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Which equation can you use to find the total number of roller coasters

c

on Dakota's list?

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\frac{c}{90} = 403

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c - 90 = 403

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90c = 403

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c + 90 = 403

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Solve this equation for

c

to find the number of roller coasters on Dakota's list.

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____ roller coasters

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At his school's spring carnival, Lorenzo is in charge of the balloon-launcher contest. In this contest, each team builds a catapult to launch water balloons at a target. Lorenzo gives a bucket of

15

water balloons to each team in the contest. In all, he gives out

90

water balloons.

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Which equation can you use to find the number of teams

t

in the contest?

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t - 15 = 90

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\frac{t}{15} = 90

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15t = 90

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t + 15 = 90

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Solve this equation for

t

to find the number of teams in the contest.

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Gianna runs a small business and is attempting to create a Cash Collections Budget, so she can determine her income for the first quarter of next year. She has an accounte receivable balance of

\$ 25,000

at the end of this year and expects her

1

st quarter sales for next year to be

\$ 75,000

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If her standard is to collect

\mathbf{5 0 \%}

of sales in the quarter in which it was earned, how much will her Total Cash Collections be for Quarter

1

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\$ 25,000

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\$ 75,000

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\$ 62,500

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\$ 67,250

Gianna runs a small business and is attempting to create a Cash Collections Budget, so she can determine her income for the first quarter of next year. She has an accounts receivable balance of

\$ 25,000

at the end of this year and expects her ist quarter sales for next year to be

\$ 75,000

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If her standard is to collect

50 \%

of sales in the quarter in which it was earned, how much will her Total Cash Collections be for Quarter

1

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\$ 25,000

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\$ 75,000

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\$ 62,500

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\$ 67,250