Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #21 : How To Find The Sale Price

A car dealership is offering a 22% discount on all of its vehicles today. How much would it cost to purchase a car that normally costs $12,000?

Possible Answers:

Correct answer:

Explanation:

If there is a 22% discount on the car, then the car must be priced at 78% of its original value. Thus, to determine the discounted price of the car, simply multiply its original price by 78% or 0.78: 

The discounted price of the car is $9360.

Example Question #22 : How To Find The Sale Price

An electronics store is running a promotion where all of its computers are discounted by 15%. How much would it cost to buy a computer that normally costs $800?

Possible Answers:

Correct answer:

Explanation:

If the computer is discounted by 15%, then it must be priced at 85% of its original price (100% minus the 15% discount). To determine what 85% of $800, multiply 0.85 by 800: 

for a discounted price of $680.

Example Question #22 : How To Find The Sale Price

A shirt was originally selling for $28. It is now $21. What percent was it marked down?

Possible Answers:

Correct answer:

Explanation:

To solve this, you can set up an equation: . Translated into words, the new price equals the original price minus the discount. Isolate for  and you get .

The negative sign signals that the percentage is a mark down. Convert the fraction into a percentage and you get

Example Question #21 : How To Find The Sale Price

Julia wants to buy a shirt which costs . When she approaches the cashier, he tells Julia that the shirt is actually on sale for  off. How much does the shirt cost with the sale applied? 

Possible Answers:

Correct answer:

Explanation:

In order to find the sale price, we must subtract 35% of $25.95 from $25.95.

35% of $25.95 is 0.35 times $25.95 whic is $9.08.

$25.95 minus $9.08 is $16.87.

Example Question #23 : How To Find The Sale Price

Which would save you more money on a purchase of $200? $20 off, or 15% off?

Possible Answers:

$20 off, since 20 is greater than 15.

$20 off, since 15% off only saves you $13.33. 

15% off, since that saves you $30, which is $10 more.

$20 off, since you'd be spending only $180 and with 15% off you'd be spending $190.

15% off, since $20 is only 5% off.

Correct answer:

15% off, since that saves you $30, which is $10 more.

Explanation:

To directly compare the two discounts, one method would be to figure out how many dollars you'd save with 15% off. To figure out 15% of $200, multiply 200 by 0.15. This would give you 30, meaning that you'd be saving $30 with this discount. Since $30 is more money than $20, needless to say, it's a better discount.

The reason the other choice stating that 15% off would save you more is wrong is that it says $20 is 5%, when it is actually 10%.

Example Question #2754 : Algebra 1

Stacey needs a dress for her cousin's roommate's wedding. She finds a dress for  that is on sale,  off. How much is she going to pay for it?

Possible Answers:

Correct answer:

Explanation:

There are a couple of different ways that we can solve this problem.

We could figure out what 20% of the original price is and then subtract that. We find 20% of $139.99 by converting 20% into its decimal equivalent 0.2 and multiplying. This gives us 27.998. Subtracting that from 139.99 gives us 111.99.

We could also figure out that if we are subtracting 20%, we will be paying 80% of the original price, since 20% + 80% would give us 100%, the full price. So we could find 80% of 139.99, multiplying 0.8 times 139.99 to get 111.99.

Example Question #2755 : Algebra 1

A coat goes on sale for  off. If the coat originally costs , what is the sale price of the coat?

Possible Answers:

Correct answer:

Explanation:

In order to find the sales price of the coat we need to convert the sales percentage into a decimal. To do this, divide it by one hundred or just move the decimal two spaces to the left. From here we can can calculate the new price of the coat by subtracting the decimal percentage from the original and then multiplying the original price by this new decimal. 

First, we will convert the sales percent to a decimal.

Substitute this number and the original price of the coat into the above formula to calculate the sale price.

Round up to two decimal places.

Example Question #2756 : Algebra 1

A plate goes on sale for  off. If the original price was , what is the sale price fo the plate?

Possible Answers:

Correct answer:

Explanation:

In order to find the sales price of the plate we need to convert the sales percentage into a decimal. To do this, divide it by one hundred or just move the decimal two spaces to the left. From here we can can calculate the new price of the plate by subtracting the decimal percentage from the original and then multiplying the original price by this new decimal. 

First, we will convert the sales percent to a decimal.

Substitute this number and the original price of the plate into the above formula to calculate the sale price.

Round to two decimal places.

Example Question #2757 : Algebra 1

A box of markers at the local art store with tax included costs . If the sales tax is  what is the price of the markers without tax?

Possible Answers:

Correct answer:

Explanation:

 of  is calculated as follows:

This step can be repeated for all of the possible answers, but in this case,  is correct. 

Example Question #2758 : Algebra 1

At the Back to School Sale, backpacks are  off. If backpacks normally cost , then what is the sales price?

Possible Answers:

Correct answer:

Explanation:

A discount of  means that the backpacks will now retail for  of their original retail value:

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