Algebra 1 : Percents
Study concepts, example questions & explanations for Algebra 1
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Example Questions
Example Question #1 : Percents
45 is what percent of 75?
Let 
Divide both sides by 75.
Multiply by 100 to get the percentage value of the decimal.
Example Question #1 : Percents
In a bag of marbles, Barry has 20 green ones and 40 red ones. If he adds 7 green and 9 red, what percentage (to the nearest hundreth) of the marbles will be green?
35.52%
33.33%
35.53%
0.36%
0.33%
35.53%
First, you need to add in the marbles. This will give you 27 green and 49 red. The total number of marbles in the bag are 76. To find the percentage of green marbles, all you need to do is divide 27 by 76, which gives you 0.35526315789474 or 35.526315789474%. Rounding to the nearest percent, you get 35.53%.
Example Question #3 : Percents
Let 
Set up a proportion statement.
Solve for 
Example Question #4 : Percents
Let 
Set up a proportion statement.
Solve for 
Example Question #5 : Percents
Let 
Set up a proportion statement.
Solve for 
Example Question #6 : Percents
Convert 
Eliminate the percentage sign and divide by 100. This will give the true value of the number without the percent sign.
The decimal 
The correct answer is:
Example Question #7 : Percents
If 
To answer this problem, we must know that a whole is equal to 
Since we are looking for an amount that is besides what is given, we will call that unknown "x", thus based on the idea that we must add up all percentages to one hundred to make a whole, our equation will look like this:
To solve for x, we simply subtract 
Example Question #8 : Percents
What percent of 
Write the equation to express this scenario. The percentage of a number is divided by 100 percent.
Solve for 
First divide by 6 on both sides.
Next multiply by 100 on both sides.
Example Question #1 : Percents
The original price of a pair of shoes is $49.56. There is a special sale going on that is 25% off all shoes. How much do the shoes cost during the sale?
Taking 25% off a price means we are paying for 75% of the original cost.
Example Question #10 : Percents
The Aral Sea located in Asia Minor originally had a surface area of 
First of all, since we are looking for the percent of surface area lost (not the surface area remaining), we subtract the remaining surface area from the initial to determine the lost area:
Dividing the lost surface area over the original surface area provides us with a decimal ratio of the water surface area lost:
This decimal multiplied by 
This value can be rounded up to
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