Capella University Math Algebra Calculus Worksheet

Name17.2
?
Personal Financial
Literacy—5.10.A
Also 5.3.E, 5.3.K
MATHEMATICAL PROCESSES
5.1.A, 5.1.F
Sales and Property Taxes
Essential Question
What are sales tax and property tax?
You have learned about taxes that employers withhold from an
employee’s pay. There are other taxes that are based on the
value of certain items. These are usually paid to a city or state
government. Just like payroll tax, the government uses these taxes
to pay for services.
Math Idea
Sales and property taxes are
based on the value of the item.
The greater the value, the
greater the tax.
Sales tax is the money added to the cost of items and services. It is
usually paid when an item is purchased.
Property tax is a portion of the value of items. Property tax can be
charged on things such as cars, houses, boats, or land. This kind of tax
is paid once or several times a year as long as a person owns the item.
Unlock
Unlock the
the Problem
Problem
Ethan’s favorite book is on sale for $11.98 plus tax.
Ethan has $13. Can he buy the book?
Price
Through
Add
Tax
Price
Through
Add
Tax
Price
Through
Add
Tax
$0.06
$0.00
$5.87
$0.48
$11.69
$0.96
The store clerk has a sales tax table to determine
how much the tax will be.
$0.18
$0.01
$5.99
$0.49
$11.81
$0.97
$0.30
$0.02
$6.12
$0.50
$11.93
$0.98
Read the table. To find the tax, find the price in the
table that is close to $11.98, but not less than $11.98.
Add the tax to $11.98.
$0.42
$0.03
$6.24
$0.51
$12.06
$0.99
$0.54
$0.04
$6.36
$0.52
$12.18
$1.00
$0.66
$0.05
$6.48
$0.53
$12.30
$1.01
$0.78
$0.06
$6.60
$0.54
$12.42
$1.02
Find the total cost.
Price of book
Sales tax
Total cost
$0.90
$0.07
$6.72
$0.55
$12.54
$1.03
$
$1.03
$0.08
$6.84
$0.56
$12.66
$1.04
The total cost of the book is $12.97.
$1.15
$0.09
$6.96
$0.57
$12.78
$1.05
$1.27
$0.10
$7.09
$0.58
$12.90
$1.06
$1.39
$0.11
$7.21
$0.59
$13.03
$1.07
$1.51
$0.12
$7.33
$0.60
$13.15
$1.08
$1.63
$0.13
$7.45
$0.61
$13.27
$1.09
__ + $__ = $__
© Houghton Mifflin Harcourt Publishing Company
Sales Tax Table
Ethan has $_ , so he _ buy the book.
Module 17
623
Example Find the property tax.
The Green family builds a shed behind their house. The shed will increase the
amount the family has to pay in property tax. In their town, the tax is $19.41 per
year for every $1,000 of property value. The shed is worth $9,000. If the property
tax is paid yearly, how much tax will they pay on the shed in one year?
The shed has a value of $__ , which is __ × $1,000.
So, the tax on the shed is __ × $__ = $__
Share
Share and
and Show
Show
1. The price of the dress Bonnie wants to buy is $85. The state has
Math Talk
a $0.05 sales tax for every dollar of the price.
Mathematical Processes
a. What is the sales tax on the dress?
For $85, the sales tax will be __ × $0.05 = __.
Why do you add the sales
tax to the price of an item?
Explain.
b. What is the total cost of the dress?
$85 + __ = __
2. Miguel has a small boat that has a value of $3,100. He pays property tax
on the boat to his town. The property tax is $4.20 for every $100 of
the property value. How much will Miguel pay in tax on his boat?
$3,100 = __ × $100
The tax will be $4.20 × 31= __.
Name the type of tax described. Write income tax, payroll tax, property tax,
or sales tax. You may write more than one type.
of the sweatshirt is $47.95.
4. The value of a house is $250,000. The yearly tax
on the house is $7,500.
5. Rolando earns $395. His pay after taxes is $356.
6. The video game sells for $19.99 plus $0.55 in tax.
7. Chase pays a yearly tax of $100 on his car.
8. $21.65 is withheld from Ed’s weekly earnings.
624
© Houghton Mifflin Harcourt Publishing Company
3. The price of the sweatshirt is $45. The total cost
Name
Problem
Problem Solving
Solving
9.
10.
Write Math
Explain the similarities and differences
between payroll tax and property tax.
Connect How can you show that a tax of $0.05 for
every $1 is the same as a tax of $5 for every $100? Use an example
to help you explain.
11. Multi-Step Bill buys a camera for $189 and a tablet computer for
$249. The sales tax is $0.08 on every dollar. What is the total cost of
his purchases?
© Houghton Mifflin Harcourt Publishing Company
12.
Write Math
Show Your Work
Multi-Step Mr. Kramer buys a
new car for $24,000. He will pay a sales tax of $0.06
for every dollar of the price. He will pay a property
tax of $14.62 for every $1,000. What are the total
taxes on the new car for this year?
13. Apply The Norton’s home has a value of $150,000. The yearly tax
in their city is $28.13 for every $1,000 of value. What will they
pay in property tax for the year?
Module 17 • Lesson 2
625
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
14. At the bookstore, the clearance shelf has a book about explorers. The
book has a price tag of $4. The sales tax is $0.05 on every dollar.
Which is the total cost of the book?
A
$4.05
B
$4.20
C
$0.20
D
$3.80
15. Amanda buys a necklace for $280. Which of the following taxes could
she have paid on the purchase?
A
property tax
B
income tax
C
payroll tax
D
sales tax
16. Multi-Step The property tax in one town was $6.95 per $1,000 value
in the year 2012. The tax increased to $7.71 per $1,000 value in 2013.
What effect did that have on the property tax for a house with a value of
$100,000?
A
increase $76
C
increase $791
B
decrease $96
D
decrease $695
TEXAS Test Prep
626
A
You can find the amount of sales tax in a sales tax table.
B
The sales tax is based on the value of an item.
C
The sales tax is the same as income tax.
D
You need to know the price of the item to determine the sales tax.
© Houghton Mifflin Harcourt Publishing Company
17. Which statement about sales tax is NOT true?
H o mewo rk
and Practice
17.2
Personal Financial Literacy—5.10.A
Also 5.3.E, 5.3.K
MATHEMATICAL PROCESSES 5.1.A, 5.1.F
Name
Sales and Property Taxes
1. Angelo buys a pair of jeans for $27. He pays
2. The Kleins’ home has a value of $120,000. The
$0.07 in sales tax for every dollar of the price.
Write an equation to show how to calculate the
sales tax on the jeans.
property tax in their city is $21.30 for every
$1,000 of value. Complete the equations to
calculate the property tax.
$120,000 ÷ $1,000 = __
Write an equation to show how to calculate the
total cost of the jeans.
The tax will be: 120 × $21.30 = __
3. How do sales taxes and property taxes affect the cost of
an item? Explain.
Problem
Problem Solving
Solving
Use the chart for 4–5.
Outdoor Equipment
Item
4. Samuel buys an item for his camping trip and
pays $0.06 in sales tax on every $1 he spends.
His receipt shows a $4.68 charge for sales tax.
Which item did Samuel buy?
Price
Tent
$219
Sleeping bag
$109
Backpack
$78
Lantern
$49
© Houghton Mifflin Harcourt Publishing Company
5. On Friday, the tent will be on sale for $15 off the price.
What will Amber’s total savings be if she buys the tent on
Friday? Include $0.06 in sales tax on every $1 when
calculating the cost. Show how you found your answer.
Module 17 • Lesson 2 627
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
holiday in which residents do not have to pay
a sales tax for a few days each year. If the sales
tax is $0.07 on every $1, how much could you
save on a purchase of a $19 calculator during
the sales tax holiday?
A
$1.40
B
$7.00
C
$0.95
D
$1.33
8. What is the sales tax on an item that costs
$33.50, if the sales tax is $0.06 on every $1?
A
$2.01
B
$20.01
C
$0.60
D
$6.00
10. Multi-Step Mrs. Chan buys a new car for
628
7. Which statement about property tax is
NOT true?
A
Property tax is subtracted from the price
of the item.
B
Property tax can be charged on a piece
of land.
C
The greater the value of the item, the
greater the property tax.
D
Property taxes are paid to government.
9. A pair of laces has a price tag of $7.00. The
sales tax is $0.08 on every $1. Which is the total
price of the laces?
A
$7.00
B
$0.08
C
$7.56
D
$7.08
11. Multi-Step Rex buys a flashlight for $44 and
$21,000. She pays a sales tax of $0.06 for every
$1. She pays a property tax of $16.80 on every
$1,000 of the value. If the property tax is paid
once a year, what are the total taxes on the car
for the year?
binoculars for $69. What is the total cost of
Rex’s purchase if sales tax is $0.07 on every $1?
A
A
$113.07
B
$120.91
$1,260
C
$113.00
B
$352.80
D
$116.08
C
$1,612.80
D
$22,612.80
© Houghton Mifflin Harcourt Publishing Company
6. Some states, including Texas, have a sales tax