Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Grade 6
Solve word problems by finding two-variable equations
Read the following description of a relationship:
\newline
A farmer has
16
16
16
employees who work all year round, and he hires some temporary employees at harvest time.
\newline
Let
b
b
b
represent the number of temporary employees and
c
c
c
represent the total number of employees.
\newline
\newline
Find the value of
c
c
c
when
b
=
10
b = 10
b
=
10
.
\newline
c
=
_
_
c = \_\_
c
=
__
Get tutor help
Read the following description of a relationship:
\newline
A snack food company packs
17
17
17
cookies in each box.
\newline
Let
b
b
b
represent the number of boxes and
c
c
c
represent the total number of cookies.
\newline
\newline
Find the value of
c
c
c
when
b
=
1
b = 1
b
=
1
.
\newline
c
=
_
_
_
c = \_\_\_
c
=
___
Get tutor help
Read the following description of a relationship:
\newline
Each crate of ceramic tiles has
14
14
14
more hexagonal tiles than square tiles.
\newline
Let
s
s
s
represent the number of square tiles in a crate and
h
h
h
represent the number of hexagonal tiles in the same crate.
\newline
\newline
Find the value of
h
h
h
when
s
=
6
s = 6
s
=
6
.
\newline
h
=
h =
h
=
____
Get tutor help
Read the following description of a relationship:
\newline
An airline's new plane carries
14
14
14
passengers per flight.
\newline
Let
f
f
f
represent the number of flights and
p
p
p
represent the total number of passengers.
\newline
\newline
Find the value of
p
p
p
when
f
=
5
f = 5
f
=
5
.
\newline
p
=
_
_
_
p = \_\_\_
p
=
___
Get tutor help
Read the following description of a relationship:
\newline
An electronics store ships
20
20
20
computers in each delivery truck.
\newline
Let
t
t
t
represent the number of delivery trucks and
c
c
c
represent the total number of computers shipped.
\newline
\newline
Find the value of
c
c
c
when
t
=
1
t = 1
t
=
1
.
\newline
c
=
_
_
c = \_\_
c
=
__
Get tutor help
Read the following description of a relationship:
\newline
Martha's Spicy Bratwursts come in packs of
7
7
7
.
\newline
Let
p
p
p
represent the number of packs and
b
b
b
represent the total number of bratwursts.
\newline
\newline
Find the value of
b
b
b
when
p
=
6
p = 6
p
=
6
.
\newline
b
=
_
b = \_
b
=
_
Get tutor help
Read the following description of a relationship:
\newline
A farmer has
13
13
13
employees who work all year round, and he hires some temporary employees at harvest time.
\newline
Let
b
b
b
represent the number of temporary employees and
c
c
c
represent the total number of employees.
\newline
\newline
Find the value of
c
c
c
when
b
=
6
b = 6
b
=
6
.
\newline
c
=
_
_
c = \_\_
c
=
__
Get tutor help
Read the following description of a relationship:
\newline
Bella is a dentist and has
15
15
15
appointments every day.
\newline
Let
d
d
d
represent the number of days and
a
a
a
represent the total number of appointments.
\newline
\newline
Find the value of
a
a
a
when
d
=
1
d = 1
d
=
1
.
\newline
a
=
_
_
_
a = \_\_\_
a
=
___
Get tutor help
Read the following description of a relationship:
\newline
Whenever David's teacher assigns an essay to write, David always writes
4
4
4
pages more than the minimum.
\newline
Let
m
m
m
represent the minimum number of pages and
w
w
w
represent the number of pages David writes.
\newline
\newline
Find the value of
w
w
w
when
m
=
2
m = 2
m
=
2
.
\newline
w
=
_
_
w = \_\_
w
=
__
Get tutor help
Read the following description of a relationship:
\newline
Jayce is a dentist and has
15
15
15
appointments every day.
\newline
Let
d
d
d
represent the number of days and
a
a
a
represent the total number of appointments.
\newline
\newline
Find the value of
a
a
a
when
d
=
6
d = 6
d
=
6
.
\newline
a
=
_
a = \_
a
=
_
Get tutor help
Read the following description of a relationship:
\newline
When Austen is given a long-term assignment, he always finishes it
1
1
1
day before the due date.
\newline
Let
d
d
d
represent the number of days given to complete the assignment and
f
f
f
represent the number of days Austen takes to complete the assignment.
\newline
\newline
Find the value of
f
f
f
when
d
=
8
d = 8
d
=
8
.
\newline
f
=
f =
f
=
____
Get tutor help
Read the following description of a relationship:
\newline
Lola's shower uses
16
liters
16\,\text{liters}
16
liters
of water per minute.
\newline
Let
m
m
m
represent the number of minutes her shower is on and
w
w
w
represent the liters of water used.
\newline
\newline
Find the value of
w
w
w
when
m
=
4
m = 4
m
=
4
.
\newline
w
=
_
_
w = \_\_
w
=
__
Get tutor help
Read the following description of a relationship:
\newline
Joel's shower uses
14
l
14\,\text{l}
14
l
of water per minute.
\newline
Let
m
m
m
represent the number of minutes his shower is on and
w
w
w
represent the liters of water used.
\newline
\newline
Find the value of
w
w
w
when
m
=
10
m = 10
m
=
10
.
\newline
w
=
_
_
w = \_\_
w
=
__
Get tutor help
Read the following description of a relationship:
\newline
Each location of a chain restaurant employs
20
20
20
more waiters than cooks.
\newline
Let
c
c
c
represent the number of cooks at a location and
w
w
w
represent the number of waiters at the same location.
\newline
Find the value of
w
w
w
when
c
=
9
c = 9
c
=
9
.
\newline
w
=
_
w = \_
w
=
_
Get tutor help
Read the following description of a relationship:
\newline
Ivan is determined to become a concert pianist. Every week he practices
8
8
8
more hours than his piano teacher assigns.
\newline
Let
a
a
a
represent the number of hours of practice assigned and
c
c
c
represent the number of hours of practice completed.
\newline
\newline
Find the value of
c
c
c
when
a
=
10
a = 10
a
=
10
.
\newline
c
=
c =
c
=
____
Get tutor help
Read the following description of a relationship:
\newline
Whenever Mabel's teacher assigns an essay to write, Mabel always writes
5
5
5
pages more than the minimum.
\newline
Let
m
m
m
represent the minimum number of pages and
w
w
w
represent the number of pages Mabel writes.
\newline
\newline
Find the value of
w
w
w
when
m
=
3
m = 3
m
=
3
.
\newline
w
=
w =
w
=
____
Get tutor help
Read the following description of a relationship:
\newline
A farmer has
7
7
7
employees who work all year round, and he hires some temporary employees at harvest time.
\newline
Let
b
b
b
represent the number of temporary employees and
c
c
c
represent the total number of employees.
\newline
\newline
Find the value of
c
c
c
when
b
=
10
b = 10
b
=
10
.
\newline
c
=
_
_
c = \_\_
c
=
__
Get tutor help
Read the following description of a relationship:
\newline
An electronics store has
15
15
15
permanent employees who work all year. The store also hires some temporary employees to work during the busy holiday shopping season.
\newline
Let
a
a
a
represent the number of temporary employees and
b
b
b
represent the total number of employees during the holiday shopping season.
\newline
\newline
Find the value of
b
b
b
when
a
=
7
a = 7
a
=
7
.
\newline
b
=
_
b = \_
b
=
_
Get tutor help
Read the following description of a relationship:
\newline
Nolan's shower uses
20
20
20
liters of water per minute.
\newline
Let
m
m
m
represent the number of minutes his shower is on and
w
w
w
represent the liters of water used.
\newline
\newline
Find the value of
w
w
w
when
m
=
10
m = 10
m
=
10
.
\newline
w
=
_
_
w = \_\_
w
=
__
Get tutor help
Read the following description of a relationship:
\newline
A professional dancer spends
1
1
1
hour every day stretching, and the rest of her daily practice time on her routine.
\newline
Let
p
p
p
represent the number of hours of daily practice and
r
r
r
represent the number of hours spent on the routine.
\newline
\newline
Find the value of
r
r
r
when
p
=
8
p = 8
p
=
8
.
\newline
r
=
_
r = \_
r
=
_
Get tutor help
Pick the story that can be modeled by the equation
x
+
4
=
24
x + 4 = 24
x
+
4
=
24
.
\newline
Choices:
\newline
(A)On Earth Day, Mary made a total of
24
24
24
cookies. She made
x
x
x
flower-shaped cookies and
4
4
4
bee-shaped cookies.
\newline
(B)On Earth Day, Mary made
4
4
4
batches of cookies. Each batch had
x
x
x
cookies. Mary made
24
24
24
cookies in all.
Get tutor help
Mariana wears her winter coat when the temperature is colder than
−
4
∘
C
-4^\circ\mathrm{C}
−
4
∘
C
.
\newline
Write an inequality that describes
t
t
t
, temperatures at which Mariana wears her winter coat.
\newline
□
\square
□
Get tutor help
Poppy the dog weighs
p
p
p
pounds, and Yumi the cat weighs
y
y
y
pounds. If Poppy weighs
36
36
36
more pounds than Yumi does, which of the following equations correctly describes the relationship between their weights?
\newline
Choose
1
1
1
answer:
\newline
(A)
p
+
y
=
36
p+y=36
p
+
y
=
36
\newline
(B)
p
+
36
=
y
p+36=y
p
+
36
=
y
\newline
(C)
p
−
y
=
36
p-y=36
p
−
y
=
36
\newline
(D)
y
−
p
=
36
y-p=36
y
−
p
=
36
Get tutor help
