Algebra 1 : Percents

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #21 : Percents

 of  is

Possible Answers:

Correct answer:

Explanation:

First convert the percent to a decimal. Just shift the decimal place two places to the left.  . Next, when we see of, it means multiplication.

 Remember to shift two decimal places to the left because of decimal placement.

Example Question #22 : Percents

 of  is 

Possible Answers:

Correct answer:

Explanation:

First convert the percent to a decimal. Just shift the decimal place two places to the left.  . Next, when we see of, it means multiplication.

 Remember to shift four decimal places to the left because of decimal placement.

Example Question #23 : Percents

 is what percent of ?

Possible Answers:

Correct answer:

Explanation:

Seeing the word means equal and of is multiplication. We set up an equation. 

 Let  represent the percentage. Divide  on both sides.

 We shift the decimal two places to the left to find the percentage.

Example Question #24 : Percents

 is what percent of ?

Possible Answers:

Correct answer:

Explanation:

Seeing the word means equal and of is multiplication. We set up an equation. 

 Let  represent the percentage. Divide  on both sides.

 We shift the decimal two places to the left to find the percentage.

Example Question #25 : Percents

Convert  to a decimal.

Possible Answers:

Correct answer:

Explanation:

In order to convert any percent to a decimal, simply remove the percentage sign and move the decimal place back two spaces.

This can also be shown in fraction form.

Remove the percent sign and divide 1015 by 100, since a percent is a part out of 100.  Add a decimal at the end of the ones digits.

If we choose to move the decimal of the denominator two times to the left, we must also move the decimal place two times for the numerator.

The fraction becomes:

The decimal representation of  is .

Example Question #26 : Percents

Convert  to a percent.

Possible Answers:

Correct answer:

Explanation:

Set up a proportion such that some number out of 100 parts is equal to one-eighth.

Multiply by 100 on both sides and reduce the fraction.

Divide 25 by 2 and add a percent sign.

The answer is:  

Example Question #27 : Percents

In a high school basketball game, the combined final score of both teams was  points. If the winning team scored  of those points, how many points did the losing team score?

Possible Answers:

Correct answer:

Explanation:

First, use the percentage information given to solve for the total points scored by the winning team. Convert the percentage into a decimal by dividing by one-hundred:

Multiply this by the combined final score from the game:

   The winning team scored  points.

Subtract this from the combined final score to find the losing teams final score:

The losing team scored  points. 

Example Question #28 : Percents

What is  of  ?

Possible Answers:

Correct answer:

Explanation:

Remember, percentages are always out of one-hundred even if they exceed one-hundred. Using this rule, we can set up an algebraic equation representing what we need to find:

      Cross multiply to remove the fractions

     Divide both sides by one-hundred to isolate the variable

Example Question #21 : Percents

A new TV costs  in November, but for the Christmas season in December the price drops to . What is the percent change in the price of the TV from November to December?

Possible Answers:

 decrease

 decrease

 decrease

 decrease

 decrease

Correct answer:

 decrease

Explanation:

The formula for solving percent change problems is as follows:

First, find the difference between the original and the new values.

Second, divide the difference between the values by the original value.

Finally, multiply the found value by one-hundred to convert it into a percent.

  

Since the price went down, we know the percent change was an  decrease in price. 

Example Question #30 : Percents

What is  as a ?

Possible Answers:

Correct answer:

Explanation:

A percent is a number out of , or 

Suppose if we have , we will have:

The percentage, , is equivalent to one.

If the number is , this means that we would have .

The answer is .

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