Pre-Algebra : Pre-Algebra

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #5 : Multiplication And Division

Which expression simplifies to 

Possible Answers:

Correct answer:

Explanation:

 results in  when simplifying with the foil method as follows:
First:

Inner: 

Outer: 

Last:

Example Question #6 : Multiplication And Division

What expression simplifies to 

Possible Answers:

Correct answer:

Explanation:

When simplified using the FOIL method  results in the following:

First: 

Inner: 

Outer: 

Last: 

When the 2 is distributed and the expression simplified we are left with 

Example Question #1201 : Pre Algebra

A salesman for a car dealership earns 12% commission on all sales. What will be his commission for a week if he sells three cars that week - a $55,000 SUV on Tuesday, a $28,000 car on Thursday, and a $42,000 van on Friday?

Possible Answers:

Correct answer:

Explanation:

The total sale price of the cars he sells will be

.

12% of $125,000 is

,

which is the salesman's commission.

Example Question #4 : Multiplication And Division

Read the following problem but do not solve it.

Acording to Mr. Smith's will, when he dies, each of his six children is to be left a parcel of land 510 acres in area. If these six parcels make up all of the farm, then how large is Mr. Smith's farm now?

Which of the following expressions must be evaluated in order to answer this question?

Possible Answers:

Correct answer:

Explanation:

There are six parcels of equal size; the total size is therefore the product of the common size (510 acres) and the number of parcels (6). This is 

Example Question #31 : How To Multiply

Beck has 5 pairs of the same style of shoe, called the "button up." Each shoe has 6 buttons. How many buttons are there on Becky's "button up" shoe collection?

Possible Answers:

Correct answer:

Explanation:

If Beck has 5 pairs of shoes, that means he has 10 shoes because there are 2 shoes in a pair.

Since each shoe has 6 buttons, that means that there are 60 buttons in the collection. 

Example Question #11 : Multiplication And Division

Simplify:  

Possible Answers:

Correct answer:

Explanation:

Simplify the numerator and denominator by cancelling out common factors.  

Then follow suit and multiply the denominator with denominator and numerator with numerator.

Example Question #192 : Operations And Properties

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digits together.

The ones digit of the final answer is .

Carry over the  to the next calculuation.

Multiply the  with the tens digit of the first number, and add the carryover .

The answer is:  

Example Question #191 : Operations

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Eliminate the absolute value sign before proceeding to multiply all the terms.  

A value inside the absolute value will result into a positive value.

From here, first multiply , when doing so remember when a negative number is multiplied by a positive number the resulting product is negative.

Therefore we get,

.

Now we will need to multiply  with .

First multiply six with nine to get . Keep the four in the ones place and carry the five to the tens place. Now multply nine with three . Since we carried the five over we need to add . Combine this value with the value that was found for the ones spot to get, . Finally, place a negative sign in front of it to arrive at the final answer.

.

Example Question #192 : Operations

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digits.

The  is the ones digit of the final answer. The  will be the carryover for the next calculation.

Multiply the tens digit of  with  with the carryover.

There are no further calculuations. Combine the numbers.

The answer is:  

Example Question #15 : Multiplication And Division

Multiply:  

Possible Answers:

Correct answer:

Explanation:

Multiply the ones digit of  with .

Multiply the tens digit of  with .

Since this number is 10 or greater, use this tens digit as the carry over for the next calculation.

Multiply the hundreds digit of  with  with the carry over.

Combine this number with the ones digit of the previous calculations.

The correct answer is:  

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