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Math Problems
Algebra 2
Solve one-step and two-step equations: word problems
The edges on Philip's snowboard are chipped and dented from riding over rocks, so Philip wants to buy a new one. He can't afford the board he wants, so he opens a hot chocolate stand near his house. Philip figures out how many cups of hot chocolate he must sell to have enough money for the snowboard. One cold, snowy Saturday, Philip sells
48
48
48
cups of hot chocolate. Now, he needs to sell
52
52
52
more cups to buy the snowboard. Which equation can you use to find the total number of cups
c
c
c
Philip must sell to buy the snowboard?
\newline
\begin{align*} &(c)/(48)=52,\ &48c=52,\ &c-48=52,\ &c+48=52 \end{align*}
\newline
Solve this equation for
c
c
c
to find the total number of cups Philip must sell to buy the snowboard.
\newline
0
\boxed{\phantom{0}}
0
cups
\newline
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The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(A)
25
d
−
9
=
920
25d - 9 = 920
25
d
−
9
=
920
\newline
(B)
9
(
d
−
25
)
=
920
9(d - 25) = 920
9
(
d
−
25
)
=
920
\newline
(C)
25
(
d
−
9
)
=
920
25(d - 9) = 920
25
(
d
−
9
)
=
920
\newline
(D)
9
d
−
25
=
920
9d - 25 = 920
9
d
−
25
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
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At the school's holiday craft fair, Haley and her classmates get to make gingerbread houses. Their teacher divides a bag of licorice ropes evenly among the
9
9
9
students at the table. Each student gets
3
3
3
licorice ropes to decorate the roof of his or her gingerbread house.
\newline
Which equation can you use to find the number of licorice ropes
r
r
r
that came in the bag?
\newline
Choices:
\newline
(A)
r
+
9
=
3
r + 9 = 3
r
+
9
=
3
\newline
(B)
9
r
=
3
9r = 3
9
r
=
3
\newline
(C)
r
−
9
=
3
r - 9 = 3
r
−
9
=
3
\newline
(D)
r
9
=
3
\frac{r}{9} = 3
9
r
=
3
\newline
Solve this equation for
r
r
r
to find the number of licorice ropes that came in the bag.
\newline
_
_
_
\_\_\_
___
licorice ropes
\newline
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On the last day of her summer tennis camp, Kathleen helps her instructor sort through a basket of tennis balls to throw out the old ones. Kathleen ends up throwing away
15
15
15
of the balls. She returns the remaining
57
57
57
balls to the basket.
\newline
Which equation can you use to find the total number of tennis balls
t
t
t
Kathleen checks?
\newline
Choices:
\newline
(A)
t
15
=
57
\frac{t}{15} = 57
15
t
=
57
\newline
(B)
t
+
15
=
57
t + 15 = 57
t
+
15
=
57
\newline
(C)
t
−
15
=
57
t - 15 = 57
t
−
15
=
57
\newline
(D)
15
t
=
57
15t = 57
15
t
=
57
\newline
Solve this equation for
t
t
t
to to find the total number of tennis balls Kathleen checks.
\newline
_
_
_
_
\_\_\_\_
____
tennis balls
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On a sunny fall day, Addison and her 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
24
24
24
pounds. In all, Addison's family picks
42
42
42
pounds of apples.
\newline
Which equation can you use to find the weight
w
w
w
of the Golden Delicious apples?
\newline
Choices:
\newline
(A)
w
−
24
=
42
w - 24 = 42
w
−
24
=
42
\newline
(B)
24
w
=
42
24w = 42
24
w
=
42
\newline
(C)
w
+
24
=
42
w + 24 = 42
w
+
24
=
42
\newline
(D)
w
24
=
42
\frac{w}{24} = 42
24
w
=
42
\newline
Solve this equation for
w
w
w
to find the weight of the Golden Delicious apples.
\newline
____ pounds
\newline
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The edges on Wayne's snowboard are chipped and dented from riding over rocks, so Wayne wants to buy a new one. He can't afford the board he wants, so he opens a hot chocolate stand near his house. Wayne figures out how many cups of hot chocolate he must sell to have enough money for the snowboard. One cold, snowy Saturday, Wayne sells
43
43
43
cups of hot chocolate. Now, he needs to sell
47
47
47
more cups to buy the snowboard.
\newline
Which equation can you use to find the total number of cups
c
c
c
Wayne must sell to buy the snowboard?
\newline
Choices:
\newline
(A)
43
c
=
47
43c = 47
43
c
=
47
\newline
(B)
c
43
=
47
\frac{c}{43} = 47
43
c
=
47
\newline
(C)
c
+
43
=
47
c + 43 = 47
c
+
43
=
47
\newline
(D)
c
−
43
=
47
c - 43 = 47
c
−
43
=
47
\newline
Solve this equation for
c
c
c
to find the total number of cups Wayne must sell to buy the snowboard.
\newline
____ cups
\newline
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On a sunny fall day, Brandon 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
24
24
24
pounds. In all, Brandon's family picks
42
42
42
pounds of apples.
\newline
Which equation can you use to find the weight
w
w
w
of the Golden Delicious apples?
\newline
Choices:
\newline
(A)
24
w
=
42
24w = 42
24
w
=
42
\newline
(B)
w
+
24
=
42
w + 24 = 42
w
+
24
=
42
\newline
(C)
w
−
24
=
42
w - 24 = 42
w
−
24
=
42
\newline
(D)
w
24
=
42
\frac{w}{24} = 42
24
w
=
42
\newline
Solve this equation for
w
w
w
to find the weight of the Golden Delicious apples.
\newline
____ pounds
\newline
Get tutor help
The Logan family is renting a beach house from Aqua Coast Beach Rentals. Mr. Logan called the rental agency ahead of time to get the total cost for
9
9
9
days. The rental agent explained that since the family plans to stay during the off-season, there will be a one-time discount of
25
25
25
$
\$
$
applied to their rental cost. The Logans will pay
920
920
920
$
\$
$
in all.
\newline
Which equation can you use to find
d
d
d
, how much the agency charges per day?
\newline
Choices:
\newline
(
A
)
9
(
d
−
25
)
=
920
(A) 9(d - 25) = 920
(
A
)
9
(
d
−
25
)
=
920
\newline
(
B
)
25
(
d
−
9
)
=
920
(B) 25(d - 9) = 920
(
B
)
25
(
d
−
9
)
=
920
\newline
(
C
)
25
d
−
9
=
920
(C) 25d - 9 = 920
(
C
)
25
d
−
9
=
920
\newline
(
D
)
9
d
−
25
=
920
(D) 9d - 25 = 920
(
D
)
9
d
−
25
=
920
\newline
How much does the agency charge per day?
\newline
____
$
\$
$
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Aiden has
$
200
\$200
$200
with which to purchase hats and t-shirts that are to be sold at his class' next fundraiser. Each hat costs the same amount of money, and each t-shirt costs the same amount of money. If Aiden spends all his money entirely on hats, he will get
40
40
40
hats. If Aiden purchases only t-shirts, he will get
80
80
80
t-shirts. Which of the following best models the relationship between the number of hats,
h
h
h
, and the number of t-shirts,
t
t
t
, that Aiden could purchase with this money?
\newline
Choose
1
1
1
answer:
\newline
(A)
40
h
+
80
t
=
400
40h+80t=400
40
h
+
80
t
=
400
\newline
(B)
80
h
+
40
t
=
200
80h+40t=200
80
h
+
40
t
=
200
\newline
(C)
5
h
+
2.5
t
=
200
5h+2.5t=200
5
h
+
2.5
t
=
200
\newline
(D)
2.5
h
+
5
t
=
200
2.5h+5t=200
2.5
h
+
5
t
=
200
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