Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #12 : How To Find Amount Of Profit

The retail price of gold is . Suppose Billy bought twenty gold coins at wholesale price for  each. How many gold coins can Billy buy at retail price from his profit if he chose to sell all twenty coins at  each?

Possible Answers:

Correct answer:

Explanation:

Determine how much Billy has spent on all twenty gold coins. Since he bought 20 gold coins at wholesale price, multiply 20 by the price of gold at $100.

Billy has spent  on  gold coins at wholesale price.

Determine his profit after he sells all  gold coins at  each.

This amount is his revenue after selling all his 20 coins.

Profit is the total revenue minus the cost Billy has spent.

After subtracting the initial cost, Billy has $600 profit from selling all his 20 gold coins at $130 each.

Divide the profit with the retail cost of the gold coins to determine how many gold coins he can buy at retail price with his profit.

Billy can only buy  gold coins at retail price as a result of his profit.

The answer is:

Example Question #2791 : Algebra 1

What is the percent of increase from 2000 to 2500? 

Possible Answers:

20%

25%

15%

10%

30%

Correct answer:

25%

Explanation:

2500 – 2000 = 500

The amount of increase is 500. The percent increase is found by dividing the amount increase by the original amount (2000).

500/2000 = 25/100 = 25%

Example Question #2792 : Algebra 1

A number is increased by 25%, giving the result of 16.  What is that number?

Possible Answers:

Correct answer:

Explanation:

Begin by translating your sentence into an equation.  The original number can be given the value "."  When you increase that number by , you can write it one of two ways:

Way 1: 

Way 2: 

Note that the second equation is merely a simplification of the first.  Now, just divide both sides by  to get . .

Example Question #3 : Percent Of Change

The volume of a balloon increases from 450 cubic centimeters to 575 cubic centimeters.  To the nearest whole number, what is the percentage increase in volume?

Possible Answers:

Correct answer:

Explanation:

To find the percentage difference, you merely subtract the start value from the end value and divide by the start.  The absolute change was  cubic centimeters or  cubic centimeters.  Divide this by the start value, , and you get  or .

Example Question #4 : Percent Of Change

A company loses $4 per sale of an item that is retailing for $18.  To the nearest hundredth, what percentage must it be marked up to break even?

Possible Answers:

Correct answer:

Explanation:

The product must make another  in order to break even.  Therefore, it must be marked up to a total price of .  The question is really asking for a percentage change.  The percentage change from  to  is:

.  NOTE: It must be marked up at least slightly more than 22.22% in order to break even.

Example Question #5 : Percent Of Change

After losing six pounds of body fat, Sam is 145 pounds with a body fat percentage of 18%.  What was the original weight of her body fat?

Possible Answers:

Correct answer:

Explanation:

If Sam is  lbs with a body fat percentage of , this means that she has of body fat.  Before losing the weight, she would have had  of body fat.

Example Question #6 : Percent Of Change

After losing 12 pounds of body fat, Pat weighs 157 pounds with a body fat percentage of 21%.  To the nearest hundredth, what was his original body fat percentage?

Possible Answers:

Correct answer:

Explanation:

If Pat is  lbs. with  body fat, he has  lbs. of body fat.  

When he was  lbs. heavier, he weighed  (that is, ) lbs., and would have had  (that is, ) lbs. of body fat on his body.  

This would mean that his body fat percentage is  or approximately .

Example Question #1 : Percent Of Change

2,800 is increased by 8%: What is the new number?

Possible Answers:

Correct answer:

Explanation:

Example Question #2793 : Algebra 1

There are 3000 people enrolled in a specific program in 2003. Between 2003 and 2004, the number of people enrolled increases by 12%, and between 2004 and 2005, 65 people unenroll. How many people are enrolled at the beginning of 2005?

Possible Answers:

Correct answer:

Explanation:

Between 2003 and 2004, the number of people enrolled increases by 12%:

Between 2004 and 2005, 65 people unenroll:

Example Question #9 : Percent Of Change

Possible Answers:

Correct answer:

Explanation:

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