All Algebra 1 Resources
Example Questions
Example Question #1102 : Algebra 1
of is
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
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 #1101 : Linear Equations
is what percent of ?
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 #1103 : Algebra 1
is what percent of ?
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.
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 #21 : Percents
Convert to a percent.
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 #1111 : Linear Equations
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?
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 #1111 : Algebra 1
What is of ?
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 #1112 : Linear Equations
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?
decrease
decrease
decrease
decrease
decrease
decrease
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 #22 : Percents
What is as a ?
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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