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Prealgebra
Percent

1
Percents, Decimals, and Fractions

Problem  1
practice icon

Write each percent as a fraction with a denominator of \(100\).

  1. \(33\%\)

  2. \(6\%\)

  3. \(160\%\)

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc espanol spanish
Edwin
Problem  2
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Change \(35.2\%\) to a decimal.

Choose instructor to watch:
Dr. Cavanah cc
Dr. Cavanah
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc espanol spanish
Edwin
Problem  3
practice icon

Write each percent as a decimal.

  1. \(37\%\)

  2. \(68\%\)

  3. \(120\%\)

  4. \(0.8\%\)

Choose instructor to watch:
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc espanol spanish
Edwin
Problem  4
practice icon

Change \(0.5\%\) to a decimal.

Choose instructor to watch:
Julieta cc
Julieta
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc espanol spanish
Edwin
Problem  5
practice icon

Write each decimal as a percent.

  1. \(0.27\)

  2. \(4.89\)

  3. \(0.5\)

  4. \(0.09\)

  5. \(3\)

Choose instructor to watch:
Dr. Cavanah cc
Dr. Cavanah
Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc espanol spanish
Edwin
Problem  6
practice icon

A softball player has a batting average of \(0.650\). Write this number as a percent.

Choose instructor to watch:
Stephanie cc
Stephanie
Nathan cc
Nathan
Edwin cc espanol spanish
Edwin
Problem  7
practice icon

Write each percent as a fraction in lowest terms.

  1. \(19\%\)

  2. \(45\%\)

  3. \(36\%\)

Choose instructor to watch:
Stephanie cc
Stephanie
Preston cc
Preston
Julieta cc
Julieta
Edwin cc espanol spanish
Edwin
Problem  8
practice icon

Change \(4.5\%\) to a fraction.

Choose instructor to watch:
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  9
practice icon

Change \(32\frac{1}{2}\%\) to a fraction.

Choose instructor to watch:
Katrina cc
Katrina
Nathan cc
Nathan
Julieta cc espanol spanish
Julieta
Problem  10
practice icon

Change \(\dfrac{7}{10}\) to a percent.

Choose instructor to watch:
Mrs. Mooney cc
Mrs. Mooney
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  11
practice icon

Change \(\dfrac{3}{8}\) to a percent.

Choose instructor to watch:
Nathan cc
Nathan
Stephanie cc
Stephanie
Gordon cc
Gordon
Edwin cc espanol spanish
Edwin
Problem  12
practice icon

Change \(\dfrac{5}{12}\) to a percent.

Choose instructor to watch:
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  13
practice icon

Change \(2\frac{1}{2}\) to a percent.

Choose instructor to watch:
Gordon cc
Gordon
Stephanie cc
Stephanie
Mrs. Mooney cc
Mrs. Mooney
Edwin cc espanol spanish
Edwin

2
Percent Problems

Problem  1
practice icon

What number is \(15\%\) of \(63\)?

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Mr. McKeague cc
Mr. McKeague
Stephanie cc
Stephanie
Nathan cc
Nathan
David cc espanol spanish
David
Problem  2
practice icon

What percent of \(42\) is \(21\)?

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Stephanie cc
Stephanie
Aaron cc
Aaron
David cc espanol spanish
David
Problem  3
practice icon

\(25\) is \(40\%\) of what number?

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Mr. McKeague cc
Mr. McKeague
Nathan cc
Nathan
David cc espanol spanish
David
Problem  4
practice icon

What number is \(43.5\%\) of \(25\)?

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Katrina cc
Katrina
Aaron cc
Aaron
David cc espanol spanish
David
Problem  5
practice icon

What percent of \(78\) is \(31.9\)?

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Katherine cc
Katherine
Katrina cc
Katrina
Nathan cc
Nathan
David cc espanol spanish
David
Problem  6
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\(34\) is \(29\%\) of what number?

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Katherine cc
Katherine
Katrina cc
Katrina
Aaron cc
Aaron
David cc espanol spanish
David
Problem  7
practice icon

The American Dietetic Association recommend eating foods in which the number of calories from fat is less than \(30\%\) of the total number of calories. According to the nutrition label, what percent of the total number of calories are fat calories?

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Katherine cc
Katherine
Katrina cc
Katrina
Gordon cc
Gordon
Julieta cc espanol spanish
Julieta
Problem  8
practice icon

What number is \(15\%\) of \(63\)? (Use proportions.)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  9
practice icon

What percent of \(42\) is \(21\)? (Use proportions.)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Gordon cc
Gordon
Julieta cc espanol spanish
Julieta
Problem  10
practice icon

\(25\) is \(40\%\) of what number? (Use proportions.)

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin

3
General Applications of Percent

Problem  1
practice icon

On a \(120\)-question test, a student answered \(96\) correctly. What percent of the problems did the student work correctly?

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Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Anthony cc
Anthony
David cc espanol spanish
David
Problem  2
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How much HCl is in a \(60\)-milliliter bottle that is marked \(80\%\) HCl?

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Mr. McKeague cc
Mr. McKeague
Mr. McKeague cc
Mr. McKeague
Aaron cc
Aaron
David cc espanol spanish
David
Problem  3
practice icon

If \(48\%\) of the students in a certain college are female and there are \(2,400\) female students, what is the total number of students in the college?

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Mr. McKeague cc
Mr. McKeague
Anthony cc
Anthony
Arielle cc
Arielle
David cc espanol spanish
David
Problem  4
practice icon

If \(25\%\) of the students in elementary algebra courses receive a grade of A, and there are \(300\) students enrolled in elementary algebra this year, how many students will receive A’s?

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Mr. McKeague cc
Mr. McKeague
Arielle cc
Arielle
Anthony cc
Anthony
David cc espanol spanish
David

4
Sales Tax and Commission

Problem  1
practice icon

Suppose the sales tax rate in Mississippi is \(6\%\) of the purchase price. If the price of a used refrigerator is \(\$550\), how much sales tax must be paid?

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Mr. McKeague cc
Mr. McKeague
Anthony cc
Anthony
David cc espanol spanish
David
Problem  2
practice icon

Suppose the sales tax rate is \(4\%\). If the sales tax on a \(10\)-speed bicycle is \(\$5.44\), what is the purchase price, and what is the total price of the bicycle?

Choose instructor to watch:
Gordon cc
Gordon
Arielle cc
Arielle
Nathan cc
Nathan
Edwin cc espanol spanish
Edwin
Problem  3
practice icon

Suppose the purchase price of a stereo system is \(\$396\) and the sales tax is \(\$19.80\). What is the sales tax rate?

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Katherine cc
Katherine
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  4
practice icon

A real estate agent gets \(3\%\) of the price of each house she sells. If she sells a house for \(\$289,500\), how much money does she earn?

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Katherine cc
Katherine
Katrina cc
Katrina
Nathan cc
Nathan
Edwin cc espanol spanish
Edwin
Problem  5
practice icon

Suppose a car salesperson’s commission rate is \(12\%\). If the commission on one of the cars is \(\$1,836\), what is the purchase price of the car?

Choose instructor to watch:
Dr. Cavanah cc
Dr. Cavanah
Katrina cc
Katrina
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  6
practice icon

If the commission on a \(\$600\) dining room set is \(\$90\), what is the commission rate?

Choose instructor to watch:
Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Gordon cc
Gordon
Edwin cc espanol spanish
Edwin

5
Percent Increase or Decrease, and Discount

Problem  1
practice icon

If a person earns \(\$22,000\) a year and gets a \(5\%\) increase in salary, what is the new salary?

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Mr. McKeague cc
Mr. McKeague
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  2
practice icon

In 1986 there were approximately \(1,793,000\) arrests for driving under the influence of alcohol or drugs (DUI) in the United States. By 1997, the number of arrests for DUI had decreased \(17.6\%\) from the 1986 number. How many people were arrested for DUI in 1997? Round to the nearest thousand.

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Betsy cc
Betsy
Julieta cc espanol spanish
Julieta
Problem  3
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Shoes that usually sell for \(\$25\) are on sale for \(\$21\). What is the percent decrease in price?

Choose instructor to watch:
Katrina cc
Katrina
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  4
practice icon

During a clearance sale, a suit that usually sells for \(\$300\) is marked "\(25\%\) off." What is the discount? What is the sale price?

Choose instructor to watch:
Gordon cc
Gordon
Problem  5
practice icon

A man buys a washing machine on sale. The machine usually sells for \(\$450\), but it is on sale at \(12\%\) off. If the sales tax rate is \(5\%\), how much is the total bill for the washer?

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Katherine cc
Katherine
Stephanie cc
Stephanie
Aaron cc
Aaron

6
Interest

Problem  1
practice icon

A man invests \(\$2,000\) in a savings plan that pays \(7\%\) per year. How much will be in the account at the end of \(1\) year?

Choose instructor to watch:
Betsy cc
Betsy
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  2
practice icon

A farmer borrows \(\$8,000\) from his local bank at \(12\%\). How much does he pay back to the bank at the end of the year to pay off the loan?

Choose instructor to watch:
Betsy cc
Betsy
Edwin espanol spanish
Edwin
Problem  3
practice icon

A student takes out an emergency loan for tuition, books, and supplies. The loan is for \(\$600\) at an interest rate of \(4\%\). How much interest does the student pay if the loan is paid back in \(60\) days?

Choose instructor to watch:
Betsy cc
Betsy
Aaron cc
Aaron
Edwin espanol spanish
Edwin
Problem  4
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A woman deposits \(\$900\) in an account that pays \(6\%\) annually. If she withdraws all the money in the account after \(90\) days, how much does she withdraw?

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Betsy cc
Betsy
Edwin espanol spanish
Edwin
Problem  5
practice icon

A homemaker puts \(\$3,000\) into a savings account that pays \(7\%\) compounded annually. How much money is in the account at the end of \(2\) years?

Choose instructor to watch:
Elisabeth cc
Elisabeth
Betsy cc
Betsy
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  6
practice icon

If \(10,000\) is invested in a savings account that pays \(6\%\) compounded quarterly, how much is in the account at the end of the year?

Choose instructor to watch:
Betsy cc
Betsy
Edwin espanol spanish
Edwin

7
Pie Charts

Problem  1
practice icon

The pie chart shows where a group of freshmen students live. Use the pie chart to answer the following questions:

  1. Find the total number of students surveyed.

  2. Find the ratio of those living in the dorms to the total surveyed.

  3. Find the ratio of those living in their parents’ homes to those living in apartments.

Choose instructor to watch:
Stephanie cc
Stephanie
Joshua cc
Joshua
Mr. Perez cc
Mr. Perez
Cynthia espanol spanish
Cynthia
Problem  2
practice icon

The pie chart shows the market share for different digital movie companies.

  1. How many people in the survey stream digital movies from Netflix?

  2. How many people stream their digital movies from Apple and Comcast combined?

Choose instructor to watch:
Stephanie cc
Stephanie
Joshua cc
Joshua
Cynthia espanol spanish
Cynthia
Mr. Perez cc
Mr. Perez
Problem  3
practice icon

A recent study found that Americans spend just over six hours per day on social media sites. Construct a pie chart that shows the amount of time in a day spent on social media.

Choose instructor to watch:
Mr. Perez cc
Mr. Perez
Joshua cc
Joshua
Molly S. cc
Molly S.
Cynthia espanol spanish
Cynthia
Problem  4
practice icon

Construct a pie chart from the information in the table.

Choose instructor to watch:
Stephanie cc
Stephanie
Joshua cc
Joshua
Mr. Perez cc
Mr. Perez
Cynthia espanol spanish
Cynthia