Study Guide and Review

Study Guide and Review
Complete each sentence with the correct term. Choose from the list below.
circle graph
compound interest
discount
interest
markup
percent
percent equation
percent of change
percent of decrease
percent of increase
percent proportion
principal
selling price
simple interest
A(n) __________ is an increase in price.
A markup is an increase in price.
__________ is the amount of money paid or earned for the use of money.
Interest is the amount of money paid or earned for the use of money.
The __________ is a ratio that compares the change in quantity to the original amount.
The percent of change is a ratio that compares the change in quantity to the original amount.
__________ is the amount by which the regular price of an item is reduced.
Discount is the amount by which the regular price of an item is reduced.
The money invested or borrowed is called the __________.
The money invested or borrowed is called the principal .
The __________ is the amount of money a customer pays for an item.
The selling price is the amount of money a customer pays for an item.
A(n) __________ is a ratio that compares a number to 100.
A percent is a ratio that compares a number to 100.
A(n) __________ is a visual representation that can be used to compare parts of a data set to the whole set of
data.
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A circle graph is a visual representation that can be used to compare parts of a data set to the whole set of data.
Write each percent as a fraction in simplest form.
A(n) __________ is a ratio that compares a number to 100.
Study Guide and Review
A percent is a ratio that compares a number to 100.
A(n) __________ is a visual representation that can be used to compare parts of a data set to the whole set of
data.
A circle graph is a visual representation that can be used to compare parts of a data set to the whole set of data.
Write each percent as a fraction in simplest form.
30%
16%
92%
65%
0.6%
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0.45%
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0.6%
0.45%
140%
212%
Write each fraction as a percent.
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Write each fraction as a percent.
So,
So,
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So,
So,
So,
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So,
TESTS In Mr. Henderson s math class, 20 out of 25 students earned a grade of A or B. What percent is this?
So, 80% of Mr. Henderson s math class earned grades of A or B.
Write each percent as a decimal.
43%
7.2%
115%
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7.2%
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115%
0.48%
Write each decimal or fraction as a percent. Round to the nearest tenth if necessary.
0.37
2.4
PETS In a survey, 0.2 of American households own a dog, one-fourth own cats, and 7% own a bird. Which group is
the largest? Explain.
Sample answer:
Dog
0.2
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Cats
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PETS In a survey, 0.2 of American households own a dog, one-fourth own cats, and 7% own a bird. Which group is
the largest? Explain.
Sample answer:
Dog
0.2
Cats
Bird
7%
7%
Because 25% > 20% > 7%, the largest group is the households with cats.
Use the percent proportion to solve each problem.
12 is what percent of 60?
So, 12 is 20% of 60.
What is 63% of 130?
So, 63% of 130 is 81.9.
28 is 80% of what number?
So, 28 is 80% of 35.
MUSIC Thirty percent of the CDs that Monique owns are classical. If Monique owns 120 CDs, how many are
classical?
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So, 28 is 80% of 35.
MUSIC Thirty percent of the CDs that Monique owns are classical. If Monique owns 120 CDs, how many are
classical?
Monique owns 36 classical CDs.
Solve each problem using a percent equation.
17 is what percent of 68?
The part is 17 and the whole is 68. Let p represent the percent.
So, 17 is 25% of 68.
What is 16
% of 24?
The percent is 16
and the whole is 24. Let a represent the part.
So,
So, 4 is 16
% of 24?
55 is 20% of what number?
The part is 55 and the percent is 20%. Let b represent the whole.
So, 55 is 20% of 275.
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48 is what percent of 32?
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4 is 16 %
of 24?
55 is 20% of what number?
The part is 55 and the percent is 20%. Let b represent the whole.
So, 55 is 20% of 275.
48 is what percent of 32?
The part is 48 and the whole is 32. Let p represent the percent.
So, 48 is 150% of 32.
Find the percent of change. Round to the nearest tenth, if necessary. Then state whether the percent of
change is an increase or decrease.
From 55 lb to 24 lb
The percent of change is approximately 56.4%. Since the percent of change is negative, it is a percent of decrease.
From $55.75 to $75.00
The percent of change is approximately 34.5%. Since the percent of change is positive, it is a percent of increase.
Find the selling price for each item given the cost and the percent of markup or discount.
tennis shoes: $85; 24% discount
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The percent of change is approximately 34.5%. Since the percent of change is positive, it is a percent of increase.
Find the selling price for each item given the cost and the percent of markup or discount.
tennis shoes: $85; 24% discount
Let d represent the amount of the discount.
Subtract the discount from the original cost.
85 20.40 = 64.60
The sale price of the tennis shoes is $64.60.
portable MP3 player: $150; 36% markup
Use the percent equation to find 100% + 36% or 136% of the price. Let p represent the selling price.
The selling price of the portable MP3 player is $204.
Find the simple interest to the nearest cent.
$575 at 6.25% for 7 years
The simple interest is $251.56.
$12,750 at 5% for 10 years
The simple interest is $6375.00.
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