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Category > Math Posted 22 Apr 2017 My Price 9.00

Add and Subtract Rational Expressions

Do the Algebra One worksheet below. Make sure to read instructions fully, and have the answers clear and concise. 

 

 

Assignment: Add and Subtract Rational Expressions
Choose any four (4) of the following five problems to solve. Show all work leading to your answer.
6 6
represents the
x 3x
total time it takes Randy to drive to work in a day, where x represents the average speed
of the car in miles per hour, during the first part of the drive.
6 6
a. Use addition to simplify the expression
. Show all the steps necessary to
x 3x
write the expression with a common denominator and to simplify the expression. 1. Randy drives his car to work each day. Suppose the expression b. If the speed of the car was 24 mph during the first part of the drive, find the total
amount of time it took Randy to drive to work that day. 325
325
represents the difference between the times,
x
x 15
measured in hours, it took two moving trucks to drive 325 miles from one town to another,
where x represents the average speed of the slower truck during the drive.
325
325
c. Use subtraction to simplify the expression
. Show all the steps
x
x 15
necessary to write the expression with a common denominator and to simplify
the expression. 2. Suppose the expression d. If the slower truck drove at an average speed of 50 mph, find the difference
between the driving times. © K12 Inc. 3. Two cement mixing trucks are scheduled to pour cement for the foundation of a new
apartment building. Suppose the expression 100
x 100
represents the total time
x 1 expected for both trucks to complete the job, where x represents the rate in gallons per
minute, at which the slower truck can pour concrete.
a. Use addition to simplify the expression 100
x 100
. Show all the steps
x 1 necessary to write the expression with a common denominator and to simplify
the expression. b. If the slower truck can pour concrete at a rate of 24 gallons per minute, find the
total amount of time it would take both cement mixing trucks to complete the job. 4. A cyclist had the wind at his back for part of his 25-mile ride, and then the wind died down
15
10
for the remainder of the ride. Suppose the expression
represents the total
x 8 x
time it took the cyclist to complete his ride, where x represents the cyclist’s average riding
speed.
15
10
. Show all the steps necessary
x 8 x
to write the expression with a common denominator and to simplify the
expression. a. Use addition to simplify the expression b. If the cyclist’s rides at an average speed of 10 miles per hour, find the total time it
took to complete the ride. 5. A school of salmon swims 100 feet against the current in a river and then swims the
100 100
same distance through a stretch of still water. Suppose the expression
x 5
x
represents the difference between the times it takes the salmon to swim against the
current versus in the still water, where x represents the average speed of the salmon in
still water. © K12 Inc. 100 100
. Show all the steps
x 5
x
necessary to write the expression with a common denominator and to simplify
the expression. a. Use subtraction to simplify the expression b. Find the difference between the times if the average speed of the salmon is 20
feet per minute. © K12 Inc.

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Status NEW Posted 22 Apr 2017 06:04 AM My Price 9.00

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