Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Grade 6
Solve one-step multiplication and division equations: word problems
A leaky
10
-kg
10\text{-kg}
10
-kg
bucket is lifted from the ground to a height of
14
m
14\, \text{m}
14
m
at a constant speed with a rope that weighs
0.6
kg/m
0.6\, \text{kg/m}
0.6
kg/m
. Initially the bucket contains
42
kg
42\, \text{kg}
42
kg
of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the
14
m
14\, \text{m}
14
m
level. How much work is done? (Use
9.8
m/s
2
9.8\, \text{m/s}^2
9.8
m/s
2
for
g
g
g
.) Show how to approximate the required work (in
J
\text{J}
J
) by a Riemann sum. (Let
x
x
x
be the height in meters above the ground. Enter
x
i
∗
x_i^*
x
i
∗
as
x
i
x_i
x
i
.)
Get tutor help
Andre wants to save
$
40
\$40
$40
to buy a gift for his dad. Andre's neighbor will pay him weekly to mow the lawn, but andre always give
$
2
\$2
$2
donation to the food bank on the weeks when he earns money. Andre calculates that it will take
5
5
5
weeks to earn money for his dad's gift. Write an equation that can be used to find how much andre's neighbor pays him each week to mow the lawn.
Get tutor help
How many solutions does this pair of equations have?
\newline
{
4
x
−
2
y
=
8
2
x
+
y
=
2
\left\{\begin{array}{l} 4 x-2 y=8 \\ 2 x+y=2 \end{array}\right.
{
4
x
−
2
y
=
8
2
x
+
y
=
2
\newline
(A) There is no solution
\newline
(B) Exactly one solution
\newline
(c) Innumerable solutions
Get tutor help
Pick the story that can be modeled by the equation
4
x
=
40
4x = 40
4
x
=
40
.
\newline
Choices:
\newline
(A)Kathleen made
4
4
4
costume crowns for her drama club's fall play. She glued
x
x
x
gems on each crown and used a total of
40
40
40
gems.
\newline
(B)Kathleen opened a bag containing
x
x
x
gems. She took out
4
4
4
gems and glued them on a crown to wear during her performance in the school play. There were
40
40
40
gems left in the bag.
Get tutor help
Josie's favorite board game is Into the Night. A new expansion pack was just released, which costs
$
19.14
\$19.14
$19.14
after taxes. After buying the expansion pack, Josie had
$
25.86
\$25.86
$25.86
left in her wallet.
\newline
Let
m
m
m
represent how much money Josie had to start. Which equation models the problem?
\newline
Choices:
\newline
(A)
m
−
19.14
=
25.86
m - 19.14 = 25.86
m
−
19.14
=
25.86
\newline
(B)
m
+
19.14
=
25.86
m + 19.14 = 25.86
m
+
19.14
=
25.86
\newline
Solve this equation to find how much money Josie had to start.
\newline
$
\$
$
___
Get tutor help
Christina has been busy planning a barbecue for her older brother's high school graduation. She invited
13
13
13
relatives from her mother's side of the family. The rest of the relatives she invited are from her father's side of the family. She invited a total of
58
58
58
relatives.
\newline
Let
f
f
f
represent the number of relatives Christina invited from her father's side. Which equation models the problem?
\newline
Choices:
\newline
(A)
f
+
13
=
58
f + 13 = 58
f
+
13
=
58
\newline
(B)
f
−
13
=
58
f - 13 = 58
f
−
13
=
58
\newline
Solve this equation to find the number of relatives Christina invited from her father's side.
\newline
____ relatives
\newline
Get tutor help
Fred bought a box of wooden popsicle sticks so that he could make a jewelry box for his mom. He used
58
58
58
popsicle sticks to make the jewelry box. Fred has
34
34
34
popsicle sticks left.
\newline
Let
p
p
p
represent how many popsicle sticks were in the box to start. Which equation models the problem?
\newline
Choices:
\newline
(A)
58
+
p
=
34
58 + p = 34
58
+
p
=
34
\newline
(B)
p
−
58
=
34
p - 58 = 34
p
−
58
=
34
\newline
Solve this equation to find how many popsicle sticks were in the box to start.
\newline
____ popsicle sticks
Get tutor help
Sandeep made pencil cases out of recycled juice boxes and sold them at a craft fair. At the end of the fair, Sandeep used
$
20.00
\$20.00
$20.00
of his earnings to pay for his booth rental. He was able to donate the remaining
$
49.85
\$49.85
$49.85
of his earnings to charity.
\newline
Let
e
e
e
represent Sandeep's total earnings. Which equation models the problem?
\newline
Choices:
\newline
(A)
e
+
20.00
=
49.85
e + 20.00 = 49.85
e
+
20.00
=
49.85
\newline
(B)
e
−
20.00
=
49.85
e - 20.00 = 49.85
e
−
20.00
=
49.85
\newline
Solve this equation to find Sandeep's total earnings.
\newline
$
\$
$
____
\newline
Get tutor help
Whenever Pam travels to a new city, she buys a souvenir mug for her collection. Pam needed to make room for new souvenirs, so she sold
18
18
18
of her oldest mugs at a garage sale. Now, Pam has
24
24
24
souvenir mugs left in her collection.
\newline
Let
m
m
m
represent how many mugs Pam had in her collection to start. Which equation models the problem?
\newline
Choices:
\newline
(A)
m
−
18
=
24
m - 18 = 24
m
−
18
=
24
\newline
(B)
18
+
m
=
24
18 + m = 24
18
+
m
=
24
\newline
Solve this equation to find how many mugs Pam had in her collection to start.
\newline
_
_
_
\_\_\_
___
mugs
\newline
Get tutor help
The art club sold cupcakes to raise money for new canvases. They sold
45
45
45
red velvet cupcakes, and the rest were confetti cupcakes. The club sold
72
72
72
cupcakes in all.
\newline
Let
c
c
c
represent the number of confetti cupcakes the art club sold. Which equation models the problem?
\newline
Choices:
\newline
(A)
c
+
45
=
72
c + 45 = 72
c
+
45
=
72
\newline
(B)
c
−
45
=
72
c - 45 = 72
c
−
45
=
72
\newline
Solve this equation to find the number of confetti cupcakes the art club sold.
\newline
____ confetti cupcakes
Get tutor help
Dwayne takes care of horses at the Silver Spur Ranch. The ranch has a red barn and a gray barn. Together, the barns hold a total of
30
30
30
horses. The red barn holds
18
18
18
horses.
\newline
Let
g
g
g
represent the number of horses the gray barn holds. Which equation models the problem?
\newline
Choices:
\newline
(A)
g
+
18
=
30
g + 18 = 30
g
+
18
=
30
\newline
(B)
g
−
18
=
30
g - 18 = 30
g
−
18
=
30
\newline
Solve this equation to find the number of horses the gray barn holds.
\newline
____ horses
\newline
Get tutor help
The sixth-grade students at Rutherford Middle School took a field trip to a science museum. As part of the trip, the students got to see a short movie called Tornadoes: Destruction by Mother Nature. Some of the students saw the morning showing of the movie, and
45
45
45
of the students saw the afternoon showing. There were
87
87
87
students on the field trip in all.
\newline
Let
m
m
m
represent how many students saw the morning showing. Which equation models the problem?
\newline
Choices:
\newline
(A)
m
+
45
=
87
m + 45 = 87
m
+
45
=
87
\newline
(B)
m
−
45
=
87
m - 45 = 87
m
−
45
=
87
\newline
Solve this equation to find how many students saw the morning showing.
\newline
____ students
\newline
Get tutor help
Edward's little brother loves to play outside when it snows! There was a big snowstorm on Friday night. By Saturday afternoon,
3
3
3
inches of the snow had melted. There were still
8
8
8
inches of snow left from the snowstorm for Edward's brother to play in.
\newline
Let
s
s
s
represent how many inches of snow fell during the snowstorm. Which equation models the problem?
\newline
Choices:
\newline
(A)
s
−
3
=
8
s - 3 = 8
s
−
3
=
8
\newline
(B)
s
+
3
=
8
s + 3 = 8
s
+
3
=
8
\newline
Solve this equation to find how many inches of snow fell during the snowstorm.
\newline
_
_
_
\_\_\_
___
inches of snow
\newline
Get tutor help
Kenneth and his mom spent all morning preparing cucumber sandwiches for their annual Fourth of July party! At the party, Kenneth handed out a cucumber sandwich to each kid. He also gave each of the
22
22
22
adults a cucumber sandwich. In all, Kenneth handed out
53
53
53
cucumber sandwiches.
\newline
Let
k
k
k
represent the number of kids at the party. Which equation models the problem?
\newline
Choices:
\newline
(
A
)
(A)
(
A
)
k
−
22
=
53
k - 22 = 53
k
−
22
=
53
\newline
(
B
)
(B)
(
B
)
k
+
22
=
53
k + 22 = 53
k
+
22
=
53
\newline
Solve this equation to find how many kids were at the party.
\newline
_
_
_
\_\_\_
___
kids
\newline
Get tutor help
Tara's softball coach split the team into two groups to practice different skills. One group of
22
22
22
players is practicing batting. The other group is practicing catching. There are
31
31
31
players on the team.
\newline
Let
c
c
c
represent the number of players that are practicing catching. Which equation models the problem?
\newline
Choices:
\newline
(A)
c
−
22
=
31
c - 22 = 31
c
−
22
=
31
\newline
(B)
22
+
c
=
31
22 + c = 31
22
+
c
=
31
\newline
Solve this equation to find the number of players that are practicing catching.
\newline
_
_
_
\_\_\_
___
players
\newline
Get tutor help
When Bella was
12
12
12
years old, she got her pet cat, Mister McScruff. That was
9
9
9
years ago.
\newline
Let
b
b
b
represent Bella's age now. Which equation models the problem?
\newline
Choices:
\newline
(A)
b
−
9
=
12
b - 9 = 12
b
−
9
=
12
\newline
(B)
b
+
9
=
12
b + 9 = 12
b
+
9
=
12
\newline
Solve this equation to find Bella's age now.
\newline
____ years old
\newline
Get tutor help
After their soccer game, Marie and her teammates ate at their favorite restaurant, The Dancing Chicken. They ordered a big platter of chicken wings. After they ate
40
40
40
chicken wings, there were
12
12
12
left over.
\newline
Let
t
t
t
represent the total number of chicken wings the team ordered. Which equation models the problem?
\newline
Choices:
\newline
(A)
t
+
40
=
12
t + 40 = 12
t
+
40
=
12
\newline
(B)
t
−
40
=
12
t - 40 = 12
t
−
40
=
12
\newline
Solve this equation to find the total number of chicken wings the team ordered.
\newline
____ chicken wings
\newline
Get tutor help
Andy has an entertainment budget each month. In January, Andy decided to use his budget for a music streaming service and a trip to the movie theater with his friends. After spending
$
14.99
\$14.99
$14.99
on the streaming subscription, Andy still had
$
40.01
\$40.01
$40.01
left to spend at the movie theater.
\newline
Let
b
b
b
represent Andy's entertainment budget. Which equation models the problem?
\newline
Choices:
\newline
(A)
b
+
14.99
=
30.01
b + 14.99 = 30.01
b
+
14.99
=
30.01
\newline
(B)
b
−
14.99
=
40.01
b - 14.99 = 40.01
b
−
14.99
=
40.01
\newline
Solve this equation to find Andy's entertainment budget.
\newline
$
\$
$
____
\newline
Get tutor help
The students in Kevin's gym class have the option of playing volleyball or dodgeball. There are
29
29
29
students in his class. Of those students,
16
16
16
signed up for volleyball and the rest signed up for dodgeball.
\newline
Let
d
d
d
represent the number of students who signed up for dodgeball. Which equation models the problem?
\newline
Choices:
\newline
(A)
16
+
d
=
29
16 + d = 29
16
+
d
=
29
\newline
(B)
d
−
16
=
29
d - 16 = 29
d
−
16
=
29
\newline
Solve this equation to find the number of students who signed up for dodgeball.
\newline
____ students
Get tutor help
Wanda is selling her handmade quilts at a two-day craft festival. On the first day, she sold
14
14
14
quilts. Wanda had
15
15
15
quilts left to sell on the second day.
\newline
Let
q
q
q
represent how many quilts Wanda started with. Which equation models the problem?
\newline
Choices:
\newline
(A)
14
+
q
=
15
14 + q = 15
14
+
q
=
15
\newline
(B)
q
−
14
=
15
q - 14 = 15
q
−
14
=
15
\newline
Solve this equation to find how many quilts Wanda started with.
\newline
____ quilts
\newline
Get tutor help
After visiting the modern art museum, Jaylen was inspired to make an abstract drawing. He started by tracing a square with a perimeter of
60
60
60
centimeters. Then, he drew a rectangle. The perimeter of the square is
32
32
32
centimeters less than the perimeter of the rectangle.
\newline
Let
r
r
r
represent the perimeter of the rectangle. Which equation models the problem?
\newline
Choices:
\newline
(A)
r
+
32
=
60
r + 32 = 60
r
+
32
=
60
\newline
(B)
r
−
32
=
60
r - 32 = 60
r
−
32
=
60
\newline
Solve this equation to find the perimeter of the rectangle.
\newline
____ centimeters
\newline
Get tutor help
Jon's New Year's resolution is to read a little bit every day, and he's off to a good start! Jon has read the same amount of time each day for the past
4
4
4
days. He's read
60
60
60
minutes in all.
\newline
Let
t
t
t
represent the amount of time Jon read each day. Which equation models the problem?
\newline
Choices:
\newline
(A)
4
t
=
60
4t = 60
4
t
=
60
\newline
(B)
t
4
=
60
\frac{t}{4} = 60
4
t
=
60
\newline
Solve this equation to find the amount of time Jon read each day.
\newline
____ minutes
\newline
Get tutor help
Emily sells popcorn at the county fair. In a large pot, she makes
q
q
q
quarts of popcorn. Then, she splits the popcorn evenly into
10
10
10
bags. She puts
5
5
5
quarts of popcorn in each bag.
\newline
Which diagram models the story?
\newline
Which equation models the story?
\newline
Choices:
\newline
(A)
q
10
=
5
\frac{q}{10} = 5
10
q
=
5
\newline
(B)
10
q
=
5
10q = 5
10
q
=
5
Get tutor help
After their middle school graduation, Justin and his friends went to Padello Pizzeria to celebrate. After sharing a large pepperoni pizza, the
4
4
4
friends split the bill evenly. Each friend paid
$
12.56
\$12.56
$12.56
. Let
c
c
c
represent the total cost of the bill. Which equation models the problem?
\newline
Choices:
\newline
A
)
A)
A
)
c
4
=
12.56
\frac{c}{4} = 12.56
4
c
=
12.56
\newline
B
)
B)
B
)
4
c
=
12.56
4c = 12.56
4
c
=
12.56
\newline
Solve this equation to find the total cost of the bill.
\newline
$
\$
$
____
Get tutor help
Maggie and her classmates are making cupcakes in baking class. Their teacher divides a bag of candy flowers evenly among
6
6
6
students at the table. Each student gets
3
3
3
candy flowers to use for decorating.
\newline
Let
f
f
f
represent how many candy flowers were in the bag to start. Which equation models the problem?
\newline
Choices:
\newline
(
A
)
3
f
=
6
(A) 3f = 6
(
A
)
3
f
=
6
\newline
(
B
)
f
6
=
3
(B) \frac{f}{6} = 3
(
B
)
6
f
=
3
\newline
Solve this equation to find how many candy flowers were in the bag to start.
\newline
___ candy flowers
Get tutor help
Mr. Ramsey planted a rose garden in his backyard. He divided the garden into
12
12
12
equal sections so he could plant a different kind of rose bush in each. Each section had an area of
4
4
4
square feet.
\newline
Let
g
g
g
represent the area of the garden. Which equation models the problem?
\newline
Choices:
\newline
(A)
g
12
=
4
\frac{g}{12} = 4
12
g
=
4
\newline
(B)
4
g
=
12
4g = 12
4
g
=
12
\newline
Solve this equation to find the area of the garden.
\newline
____ square feet
Get tutor help
Users of the video app Webbed Flicks are required to watch
15
15
15
-second ads before they can watch their video. Grace watched ads for
60
60
60
seconds before her video started.
\newline
Let
x
x
x
represent how many ads Grace had to watch. Which equation models the problem?
\newline
Choices:
\newline
(A)
x
15
=
60
\frac{x}{15} = 60
15
x
=
60
\newline
(B)
15
x
=
60
15x = 60
15
x
=
60
\newline
Solve this equation to find how many ads Grace had to watch.
\newline
____ ads
\newline
Get tutor help
Mr. Meyer is planning a sixth-grade field trip to Washington, D.C. He divides his students evenly between
9
9
9
chaperones. Each chaperone will lead a group of
8
8
8
students.
\newline
Let
s
s
s
represent the total number of students going on the field trip. Which equation models the problem?
\newline
Choices:
\newline
(A)
8
s
=
9
8s = 9
8
s
=
9
\newline
(B)
s
9
=
8
\frac{s}{9} = 8
9
s
=
8
\newline
Solve this equation to find the total number of students going on the field trip.
\newline
____ students
Get tutor help
Hannah is setting up an egg balancing game for Field Day. Players on each team must get all of the eggs from one end of their station to the other by balancing the eggs on their heads! For the game, Hannah sets up a bowl of
8
8
8
eggs at each team's station. In all, she needs
40
40
40
eggs.
\newline
Let
t
t
t
represent the number of teams competing in the game. Which equation models the problem?
\newline
Choices:
\newline
(A)
t
8
=
40
\frac{t}{8} = 40
8
t
=
40
\newline
(B)
8
t
=
40
8t = 40
8
t
=
40
\newline
Solve this equation to find how many teams are competing.
\newline
_
_
_
\_\_\_
___
teams
Get tutor help
Toby's favorite soda is Sugar Buzz, but his mom won't buy it because she says it is way too sugary! The nutrition label on Sugar Buzz shows that a
12
12
12
-ounce can contains
48
48
48
grams of sugar.
\newline
Let
g
g
g
represent the amount of sugar in each ounce of Sugar Buzz. Which equation models the problem?
\newline
Choices:
\newline
A
)
12
g
=
48
A) 12g = 48
A
)
12
g
=
48
\newline
B
)
g
12
=
48
B) \frac{g}{12} = 48
B
)
12
g
=
48
\newline
Solve this equation to find the amount of sugar in each ounce of Sugar Buzz.
\newline
_
_
_
\_\_\_
___
grams
\newline
Get tutor help
The perimeter of an equilateral triangle is
72
72
72
centimeters.
\newline
Let
ℓ
\ell
ℓ
represent the length of each side of the triangle. Which equation models the problem?
\newline
Choices:
\newline
(A)
3
ℓ
=
72
3\ell = 72
3
ℓ
=
72
\newline
(B)
ℓ
/
3
=
72
\ell/3 = 72
ℓ
/3
=
72
\newline
Solve this equation to find the length of each side of the triangle.
\newline
____ centimeters
\newline
Get tutor help
It's Lila's turn to host movie night, and she's picking movies to rent. Flick City Digital Movies is having a sale, so Lila rents
5
5
5
movies for a total of
$
24.75
\$24.75
$24.75
. Each movie costs the same amount.
\newline
Let
c
c
c
represent the cost to rent a movie. Which equation models the problem?
\newline
Choices:
\newline
(A)
5
c
=
24.75
5c = 24.75
5
c
=
24.75
\newline
(B)
c
5
=
24.75
\frac{c}{5} = 24.75
5
c
=
24.75
\newline
Solve this equation to find the cost to rent a movie.
\newline
$
\$
$
____
\newline
Get tutor help
Evelyn's favorite class is woodworking. For her last project, Evelyn glued together
7
7
7
strips of wood side-by-side to make a decorative sign. Each strip of wood had the same width. Her finished sign was
14
14
14
inches wide.
\newline
Let
s
s
s
represent the width of each strip of wood. Which equation models the problem?
\newline
Choices:
\newline
(A)
7
s
=
14
7s = 14
7
s
=
14
\newline
(B)
s
7
=
14
\frac{s}{7} = 14
7
s
=
14
\newline
Solve this equation to find the width of each strip of wood.
\newline
_
_
_
\_\_\_
___
inches
\newline
Get tutor help
Clara's favorite baking show inspired her to take a cake-decorating class. To practice her new skill, she decorated a batch of cupcakes with icing flowers. Clara put
3
3
3
icing flowers on each cupcake for a total of
36
36
36
icing flowers.
\newline
Let
c
c
c
represent how many cupcakes were in the batch. Which equation models the problem?
\newline
Choices:
\newline
(A)
3
c
=
36
3c = 36
3
c
=
36
\newline
(B)
c
3
=
36
\frac{c}{3} = 36
3
c
=
36
\newline
Solve this equation to find how many cupcakes were in the batch.
\newline
_
_
_
\_\_\_
___
cupcakes
\newline
Get tutor help
Bonnie's favorite game at the arcade is Can Em Down. In the game, players earn
7
7
7
points for each can they knock down. Bonnie earned
84
84
84
points in her best game.
\newline
Let
c
c
c
represent how many cans Bonnie knocked down. Which equation models the problem?
\newline
Choices:
\newline
(A)
7
c
=
84
7c = 84
7
c
=
84
\newline
(B)
c
7
=
84
\frac{c}{7} = 84
7
c
=
84
\newline
Solve this equation to find how many cans Bonnie knocked down.
\newline
____ cans
\newline
Get tutor help
Nick wants to go to soccer camp this summer. To help pay the registration fee, he got a job making
$
10.50
\$10.50
$10.50
an hour walking dogs. This week, he earned a total of
$
84.00
\$84.00
$84.00
.
\newline
Let
h
h
h
represent the number of hours Nick worked this week. Which equation models the problem?
\newline
Choices:
\newline
(A)
10.50
h
=
84.00
10.50h = 84.00
10.50
h
=
84.00
\newline
(B)
h
10.50
=
84.00
\frac{h}{10.50} = 84.00
10.50
h
=
84.00
\newline
Solve this equation to find the number of hours Nick worked this week.
\newline
_
_
_
\_\_\_
___
hours
\newline
Get tutor help
Sarah is making her parents a photo album for their anniversary. There are
12
12
12
pages in the album. Sarah puts the same number of photos on each page for a total of
72
72
72
photos.
\newline
Let
p
p
p
represent how many photos Sarah puts on each page. Which equation models the problem?
\newline
Choices:
\newline
(A)
p
/
12
=
72
p/12 = 72
p
/12
=
72
\newline
(B)
12
p
=
72
12p = 72
12
p
=
72
\newline
Solve this equation to find how many photos Sarah puts on each page.
\newline
____ photos
\newline
Get tutor help
Brody is making welcome bags for some foreign exchange students joining his school. He divides a box of pencils evenly among
8
8
8
welcome bags. Each bag gets
4
4
4
pencils.
\newline
Let
p
p
p
represent how many pencils were in the box. Which equation models the problem?
\newline
Choices:
\newline
(A)
4
p
=
8
4p = 8
4
p
=
8
\newline
(B)
p
8
=
4
\frac{p}{8} = 4
8
p
=
4
\newline
Solve this equation to find how many pencils were in the box.
\newline
_
_
_
\_\_\_
___
pencils
Get tutor help
Mr. Thurgood gave his students a math quiz last Friday. Each question on the quiz was worth
3
3
3
points, and the quiz was worth
45
45
45
points in all.
\newline
Let
q
q
q
represent the number of questions on the quiz. Which equation models the problem?
\newline
Choices:
\newline
(A)
q
3
=
45
\frac{q}{3} = 45
3
q
=
45
\newline
(B)
3
q
=
45
3q = 45
3
q
=
45
\newline
Solve this equation to find the number of questions on the quiz.
\newline
____ questions
\newline
Get tutor help
Hannah volunteers at an animal shelter every Saturday. Last Saturday, she fed each bunny at the shelter
3
3
3
carrots. Hannah fed
30
30
30
carrots to the bunnies in all.
\newline
Let
b
b
b
represent the number of bunnies at the shelter. Which equation models the problem?
\newline
Choices:
\newline
(A)
3
b
=
30
3b = 30
3
b
=
30
\newline
(B)
b
3
=
30
\frac{b}{3} = 30
3
b
=
30
\newline
Solve this equation to find the number of bunnies at the shelter.
\newline
____ bunnies
\newline
Get tutor help
For his birthday, Shawn's parents give him tickets to feed the penguins at the zoo! The zookeeper gives Shawn a bucket of fish to divide evenly among
6
6
6
penguins. Shawn feeds each penguin
3
3
3
fish.
\newline
Let
f
f
f
represent how many fish were in the bucket to start. Which equation models the problem?
\newline
Choices:
\newline
(
A
)
3
f
=
6
(A) 3f = 6
(
A
)
3
f
=
6
\newline
(
B
)
f
6
=
3
(B) \frac{f}{6} = 3
(
B
)
6
f
=
3
\newline
Solve this equation to find how many fish were in the bucket to start.
\newline
_
_
_
\_\_\_
___
fish
\newline
Get tutor help
Terrell is building a fence to create a square play area for his new puppy. The perimeter of the play area will be
60
60
60
feet.
\newline
Let
ℓ
\ell
ℓ
represent the length of each side of the play area. Which equation models the problem?
\newline
Choices:
\newline
(A)
ℓ
/
4
=
60
\ell/4 = 60
ℓ
/4
=
60
\newline
(B)
4
ℓ
=
60
4\ell = 60
4
ℓ
=
60
\newline
Solve this equation to find the length of each side of the play area.
\newline
_
_
_
_
\_\_\_\_
____
feet
\newline
Get tutor help
Kristy asks Lonnie to think of a number, add
3
3
3
to it, multiply the sum by
2
2
2
, and then subtract
6
6
6
. Let
n
n
n
stand for Lonnie's starting number. Which expression represents Lonnie's final number?
\newline
2
(
n
+
3
)
−
6
2
(
n
+
3
−
6
)
n
+
3
×
2
−
6
2
n
+
3
−
6
\begin{array}{c} 2(n+3)-6 \\ 2(n+3-6) \\ n+3 \times 2-6 \\ 2 n+3-6 \end{array}
2
(
n
+
3
)
−
6
2
(
n
+
3
−
6
)
n
+
3
×
2
−
6
2
n
+
3
−
6
\newline
Get tutor help
Here is one way to solve the equation
\newline
5
9
y
2
=
5
\frac{5}{9}y^{2}=5
9
5
y
2
=
5
.
\newline
Explain what is done in each step.
Get tutor help
Subtract.
\newline
(
9
n
2
+
6
n
)
−
(
n
2
+
n
)
(9n^{2}+6n)-(n^{2}+n)
(
9
n
2
+
6
n
)
−
(
n
2
+
n
)
Get tutor help
t
=
1
4
p
+
2
t=\frac{1}{4} p+2
t
=
4
1
p
+
2
\newline
Ana uses the given equation to determine the number of hours,
t
t
t
, to roast a
p
p
p
-pound turkey. How many more minutes would it take Ana to roast a
13
13
13
-pound turkey than a
12
12
12
-pound turkey?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
2
2
minutes
\newline
(B)
4
4
4
minutes
\newline
(C)
15
15
15
minutes
\newline
(D)
60
60
60
minutes
Get tutor help
z
=
−
24
−
12.7
i
z = -24 - 12.7 i
z
=
−
24
−
12.7
i
\newline
What are the real and imaginary parts of \z?
\newline
Choose
1
1
1
answer:
\newline
(A)
Re
(
z
)
=
−
24
\text{Re}(z) = -24
Re
(
z
)
=
−
24
and
Im
(
z
)
=
−
12.7
\text{Im}(z) = -12.7
Im
(
z
)
=
−
12.7
\newline
(B)
Re
(
z
)
=
−
24
\text{Re}(z) = -24
Re
(
z
)
=
−
24
and
Im
(
z
)
=
−
12.7
i
\text{Im}(z) = -12.7 i
Im
(
z
)
=
−
12.7
i
\newline
(C)
Re
(
z
)
=
−
12.7
\text{Re}(z) = -12.7
Re
(
z
)
=
−
12.7
and
Im
(
z
)
=
−
24
\text{Im}(z) = -24
Im
(
z
)
=
−
24
\newline
(D)
Re
(
z
)
=
−
12.7
i
\text{Re}(z) = -12.7 i
Re
(
z
)
=
−
12.7
i
and
Im
(
z
)
=
−
24
\text{Im}(z) = -24
Im
(
z
)
=
−
24
Get tutor help
Use the elimination method to solve for
p
p
p
and
q
q
q
.
\newline
Equation
1
−
2
p
−
3
q
=
−
4
1 \quad -2 p-3 q=-4
1
−
2
p
−
3
q
=
−
4
\newline
Equation
2
−
10
p
−
21
q
=
−
55
2
2 \quad -10 p-21 q=-\frac{55}{2}
2
−
10
p
−
21
q
=
−
2
55
Get tutor help
Janelle is planning to knit scarves to give to her friends and family members on Valentine's day. She will need to purchase
200
200
200
yards of yarn for each scarf that she is going to knit. The function
Y
(
s
)
Y(s)
Y
(
s
)
represents the amount of yarn Janelle will need, in yards, in order to knit
s
s
s
scarves.
\newline
What is the domain of
Y
(
s
)
Y(s)
Y
(
s
)
?
\newline
Choices:
\newline
(A) all multiples of
200
200
200
from
0
0
0
to
2
,
000
2,000
2
,
000
\newline
(B) all whole numbers from
0
0
0
to
200
200
200
\newline
(C) all multiples of
200
200
200
greater than or equal to
0
0
0
\newline
(D) all whole numbers
Get tutor help
Let
f
(
x
)
=
5
x
f(x)=5^{x}
f
(
x
)
=
5
x
and
g
(
x
)
=
x
2
+
1
g(x)=x^{2}+1
g
(
x
)
=
x
2
+
1
.
\newline
What is the value of
g
(
f
(
1
)
−
2
)
g(f(1)-2)
g
(
f
(
1
)
−
2
)
?
Get tutor help
1
2
Next
