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Math Problems
Grade 7
Multi-step problems with percents
Bo went shopping for a new pair of pants because of a sale. The store was offering a
25
%
25 \%
25%
discount. If the price on the tag was
p
p
p
, which expression represents the price after the discount but before tax?
\newline
0.25
p
0.25 p
0.25
p
\newline
0.975
p
0.975 p
0.975
p
\newline
25
p
25 p
25
p
\newline
0.75
p
0.75 p
0.75
p
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Jin went shopping for a new camera. Sales tax where he lives is
8
%
8 \%
8%
. If the price of the camera is
p
p
p
dollars and cents, which expression represents the total price plus tax?
\newline
0.08
p
0.08 p
0.08
p
\newline
1.008
p
1.008 p
1.008
p
\newline
1.08
p
1.08 p
1.08
p
\newline
8
p
8 p
8
p
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Gabriel has a loyalty card good for a
9
%
9 \%
9%
discount at his local pharmacy. If the total cost, before tax and discount, of all the items he wants to buy is
c
c
c
, which expression represents the cost after the discount?
\newline
9
c
9 c
9
c
\newline
0.09
c
0.09 c
0.09
c
\newline
0.91
c
0.91 c
0.91
c
\newline
0.991
c
0.991 c
0.991
c
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Bo was out at a restaurant for dinner when the bill came. His dinner came to
$
30
\$ 30
$30
. He wanted to leave a
32
%
32 \%
32%
tip. How much was his meal plus the tip, before tax, in dollars and cents?
\newline
Answer:
$
\$
$
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Avery went shopping for a new phone because of a sale. The store was offering a
40
%
40 \%
40%
discount. If the price on the tag was
$
45
\$ 45
$45
, what would be the price after the discount but before tax, to the nearest dollar and cent?
\newline
Answer:
$
\$
$
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Christian was out at a restaurant for dinner when the bill came. His dinner came to
$
11
\$ 11
$11
. He wanted to leave a
20
%
20 \%
20%
tip. How much was his meal plus the tip, before tax, in dollars and cents?
\newline
Answer:
$
\$
$
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The expression
0.85
(
1.11
p
)
0.85(1.11 p)
0.85
(
1.11
p
)
represents the total amount Layla paid for a jacket originally priced
p
p
p
dollars. Which changes to the original price could have resulted in this expression?
\newline
A discount of
0.15
%
0.15 \%
0.15%
and then
11
%
11 \%
11%
sales tax
\newline
Sales tax of
111
%
111 \%
111%
and then a discount of
15
%
15 \%
15%
\newline
A discount of
15
%
15 \%
15%
and then
11
%
11 \%
11%
sales tax
\newline
Sales tax of
0.11
%
0.11 \%
0.11%
and then a discount of
0.15
%
0.15 \%
0.15%
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The expression
0.9
(
1.06
p
)
0.9(1.06 p)
0.9
(
1.06
p
)
represents the total amount Zoe paid for a jacket originally priced
p
p
p
dollars. Which changes to the original price could have resulted in this expression?
\newline
A discount of
0.9
%
0.9 \%
0.9%
and then
0.06
%
0.06 \%
0.06%
sales tax
\newline
Sales tax of
106
%
106 \%
106%
and then a discount of
0.1
%
0.1 \%
0.1%
\newline
A discount of
10
%
10 \%
10%
and then
6
%
6 \%
6%
sales tax
\newline
A discount of
90
%
90 \%
90%
and then
0.06
%
0.06 \%
0.06%
sales tax
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Bella went shopping for a new pair of sneakers because of a sale. The store was offering a
40
%
40 \%
40%
discount. If the price on the tag was
p
p
p
, which expression represents the price after the discount but before tax?
\newline
0.4
p
0.4 p
0.4
p
\newline
0.96
p
0.96 p
0.96
p
\newline
1
−
0.4
p
1-0.4 p
1
−
0.4
p
\newline
p
−
0.4
p
p-0.4 p
p
−
0.4
p
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Ian went shopping for a new pair of sneakers. Sales tax where he lives is
4
%
4 \%
4%
. If the price of the pair of sneakers is
p
p
p
dollars and cents, which expression does NOT represent the total price plus tax?
\newline
1
+
0.04
p
1+0.04 p
1
+
0.04
p
\newline
1.04
p
1.04 p
1.04
p
\newline
(
1
+
0.04
)
p
(1+0.04) p
(
1
+
0.04
)
p
\newline
p
+
0.04
p
p+0.04 p
p
+
0.04
p
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Mamadou has a loyalty card good for a
16
%
16 \%
16%
discount at his local pharmacy. If the total cost, before tax and discount, of all the items he wants to buy is
c
c
c
, which expression does NOT represent the cost after the discount?
\newline
0.984
c
0.984 c
0.984
c
\newline
c
−
0.16
c
c-0.16 c
c
−
0.16
c
\newline
1
c
−
0.16
c
1 c-0.16 c
1
c
−
0.16
c
\newline
(
1
−
0.16
)
c
(1-0.16) c
(
1
−
0.16
)
c
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Jamar has a loyalty card good for a
5
%
5 \%
5%
discount at his local hardware store. If the total cost, before tax and discount, of all the items he wants to buy is
c
c
c
, which expression does NOT represent the cost after the discount?
\newline
1
c
−
0.05
c
1 c-0.05 c
1
c
−
0.05
c
\newline
0.05
c
0.05 c
0.05
c
\newline
c
−
0.05
c
c-0.05 c
c
−
0.05
c
\newline
0.95
c
0.95 c
0.95
c
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Allam just finiched a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is
5
%
5 \%
5%
, and it is customary to leave a tip of
15
%
15 \%
15%
for the server. The cip amount is calculated on the price of the meal before the tax is applied. (Sales tax is not calculated on tips.)
\newline
If Allam ordered a
$
15
\$ 15
$15
meal, how much money will he have to pay with tax and tip?
\newline
$
\$
$
_________
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Lauren goes to a store and buys an item that costs
x
x
x
dollars. She has a coupon for
5
%
5 \%
5%
off, and then a
9
%
9 \%
9%
tax is added to the discounted price. Write an expression in terms of
x
x
x
that represents the total amount that Lauren paid at the register.
\newline
Answer:
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Lucy goes to a restaurant and the subtotal on the bill was
x
x
x
dollars. A tax of
6
%
6 \%
6%
is applied to the bill. Lucy decides to leave a tip of
24
%
24 \%
24%
on the entire bill (including the tax). Write an expression in terms of
x
x
x
that represents the total amount that Lucy paid.
\newline
Answer:
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Aria goes to a restaurant and the subtotal on the bill was
x
x
x
dollars. A tax of
5
%
5 \%
5%
is applied to the bill. Aria decides to leave a tip of
19
%
19 \%
19%
on the entire bill (including the tax). Write an expression in terms of
x
x
x
that represents the total amount that Aria paid.
\newline
Answer:
Get tutor help
Ryan goes to a store and buys an item that costs
x
x
x
dollars. He has a coupon for
20
%
20 \%
20%
off, and then a
8
%
8 \%
8%
tax is added to the discounted price. Write an expression in terms of
x
x
x
that represents the total amount that Ryan paid at the register.
\newline
Answer:
Get tutor help
Taub goes to a restaurant and the subtotal on the bill was
x
x
x
dollars. A tax of
6
%
6 \%
6%
is applied to the bill. Taub decides to leave a tip of
19
%
19 \%
19%
on the entire bill (including the tax). Write an expression in terms of
x
x
x
that represents the total amount that Taub paid.
\newline
Answer:
Get tutor help
Owen goes to a restaurant and the subtotal on the bill was
x
x
x
dollars. A tax of
7
%
7 \%
7%
is applied to the bill. Owen decides to leave a tip of
23
%
23 \%
23%
on the entire bill (including the tax). Write an expression in terms of
x
x
x
that represents the total amount that Owen paid.
\newline
Answer:
Get tutor help
Idil goes to a restaurant and the subtotal on the bill was
x
x
x
dollars. A tax of
8
%
8 \%
8%
is applied to the bill. Idil decides to leave a tip of
25
%
25 \%
25%
on the entire bill (including the tax). Write an expression in terms of
x
x
x
that represents the total amount that Idil paid.
\newline
Answer:
Get tutor help
Maria is staying at a hotel that charges
$
99.95
\$ 99.95
$99.95
per night plus tax for a room. A tax of
8
%
8 \%
8%
is applied to the room rate, and an additional onetime untaxed fee of
$
5.00
\$ 5.00
$5.00
is charged by the hotel. Which of the following represents Maria's total charge, in dollars, for staying
x
x
x
nights?
\newline
(
99.95
+
0.08
x
)
+
5
(99.95+0.08 x)+5
(
99.95
+
0.08
x
)
+
5
\newline
1.08
(
99.95
x
)
+
5
1.08(99.95 x)+5
1.08
(
99.95
x
)
+
5
\newline
1.08
(
99.95
x
+
5
)
1.08(99.95 x+5)
1.08
(
99.95
x
+
5
)
\newline
1.08
(
99.95
+
5
)
x
1.08(99.95+5) x
1.08
(
99.95
+
5
)
x
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Eric owns and operates the Hot Ham food truck. The expression
3.25
b
+
2
h
3.25 b+2 h
3.25
b
+
2
h
gives the cost of
b
b
b
burgers and
h
h
h
hot dogs.
\newline
What is the cost of
4
4
4
burgers and
6
6
6
hot dogs?
\newline
$
\$
$
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The price of a visit to the dentist is calculated according to the formula
50
+
100
n
50+100 n
50
+
100
n
where
n
n
n
is the number of cavities the dentist finds.
\newline
On your last visit to the dentist,
2
2
2
cavities were found.
\newline
What was the cost of your visit?
\newline
$
\$
$
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Christopher bought a new watch at the store when they were having a
20
%
20 \%
20%
off sale.
\newline
If the regular price of the watch was
$
48
\$ 48
$48
, how much did Christopher pay with the discount?
\newline
$
\$
$
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The cake store is having a
25
%
25 \%
25%
off sale on all of its cakes.
\newline
If the cake you want regularly costs
$
9
\$ 9
$9
, how much would you save with the discount?
\newline
$
\$
$
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The pie store is having a
20
%
20 \%
20%
off sale on all of its pies.
\newline
If the pie you want regularly costs
$
18
\$ 18
$18
, how much would you save with the discount?
\newline
$
\$
$
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Casey buys a bracelet. She pays for the bracelet and pays
$
0.72
\$ 0.72
$0.72
in sales tax. The sales tax rate is
6
%
6 \%
6%
.
\newline
What is the original price of the bracelet, before tax?
\newline
$
\$
$
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David is buying a cheese wheel priced at
$
14
\$ 14
$14
before tax. The store charges
8
%
8 \%
8%
sales tax.
\newline
What is the total price, including tax, David pays for the cheese wheel?
\newline
$
\$
$
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The sales tax in your city is
4.4
%
4.4 \%
4.4%
, and an item costs
$
3
\$ 3
$3
before tax.
\newline
How much tax would you pay on that item?
\newline
Round to the nearest hundredth or cent.
\newline
$
\$
$
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The manager at Gabriela's Furniture Store is trying to figure out how much to charge for a book shelf that just arrived. The book shelf was bought at a wholesale price of
$
147.00
\$ 147.00
$147.00
, and Gabriela's Furniture Store marks up all furniture by
60
%
60 \%
60%
.
\newline
At what price should the manager sell the book shelf?
\newline
$
\$
$
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Allam just finished a great meal at a restaurant in Wisconsin. The sales tax in Wisconsin is
5
%
5 \%
5%
, and it is customary to leave a tip of
15
%
15 \%
15%
for the server. The tip amount is calculated on the price of the meal before the tax is applied. (Sales tax is not calculated on tips.)
\newline
If Allam ordered a
$
15
\$ 15
$15
meal, how much money will he have to pay with tax and tip?
\newline
$
\$
$
Get tutor help
In Las Vegas, Nevada, stores charge a
4.6
%
4.6 \%
4.6%
state sales tax and a
3.65
%
3.65 \%
3.65%
county sales tax. Yuki is purchasing a handbag priced at
$
220
\$ 220
$220
before tax.
\newline
How much sales tax does Yuki pay for her handbag purchase?
\newline
$
\$
$
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The sales tax in your city is
8.8
%
8.8 \%
8.8%
, and an item costs
$
63
\$ 63
$63
before tax.
\newline
How much tax would you pay on that item?
\newline
Round to the nearest hundredth or cent.
\newline
$
\$
$
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Lake Moeris in Egypt is located
43
m
43 \mathrm{~m}
43
m
below sea level.
\newline
Which number represents the elevation of Lake Moeris in meters?
\newline
Choose
1
1
1
answer:
\newline
(A)
43
43
43
\newline
(B)
−
43
-43
−
43
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Simone is an ecologist who studies the change in the tiger population of Siberia over time.
\newline
The relationship between the elapsed time
t
t
t
, in years, since Simone started studying the population, and the number of tigers,
N
year
(
t
)
N_{\text {year }}(t)
N
year
(
t
)
, is modeled by the following function:
\newline
N
year
(
t
)
=
612
⋅
(
2
3
)
t
N_{\text {year }}(t)=612 \cdot\left(\frac{2}{3}\right)^{t}
N
year
(
t
)
=
612
⋅
(
3
2
)
t
\newline
Complete the following sentence about the monthly rate of change in the tiger population.
\newline
Round your answer to two decimal places.
\newline
Every month, the number of tigers decays by a factor of
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For a certain toll bridge, drivers get an
11
%
11 \%
11%
bonus credit if they buy credit on a prepaid toll pass instead of paying cash. If a driver pays
$
9.00
\$ 9.00
$9.00
for a prepaid toll pass, what is the total credit on the toll pass in dollars?
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A paintball court charges an initial entrance fee plus a fixed price per ball.
\newline
P
P
P
represents the total price (in dollars) as a function of the number of balls used
n
n
n
.
\newline
P
=
0.80
n
+
5.50
P=0.80 n+5.50
P
=
0.80
n
+
5.50
\newline
What is the price for
10
10
10
balls, not including the entrance fee?
\newline
$
\$
$
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A ceramic vase was originally priced at
$
100
\$100
$100
but went on sale for
50
%
50\%
50%
off. If Ernesto bought the ceramic vase and paid
12
%
12\%
12%
sales tax, how much did he pay in total?
\newline
$
\$
$
____
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