FOUR ALGEBRA ONE QUESTIONS:

Please do the worksheet attached, and send it back completed. Make sure to read the directions fully and answer the questions clearly. Thank you. 

 

 

Assignment: Operations with Radical Expressions
Choose any four of the following five problems to solve. Use the appropriate operation with
radical expressions to solve each problem. Write all answers in simplest form, and show all work
leading to your answer.
1. Two passengers on a cruise ship look out across the horizon. One of the passengers
who is standing on the upper deck can see a distance of 48 miles. The other
passenger who is standing on the lower deck can see a distance of 27 miles. a. Write an expression to represent the difference between the two distances each
passenger can see. Then simplify the expression, keeping your answer in radical
form. Show all steps needed to write your answer in simplest form. b. Use a calculator to change the answer to decimal form. Round the answer to the
nearest tenth. Using this decimal number, write a sentence to explain the
meaning of the answer in this situation. 2. A research scientist uses radar to track the migration of various types of birds. She
estimates that a certain flock of geese traveled a distance of 750 on one day and
1080 miles the next day. a. Write an expression to represent the total distance covered by the geese over
the two day period. Then simplify the expression, keeping your answer in radical
form. Show all steps needed to write your answer in simplest form. b. Use a calculator to change the answer to decimal form. Round the answer to the
nearest tenth. Using this decimal number, write a sentence to explain the
meaning of the answer in this situation. © K12 Inc. 3. Before embarking on a flight, the pilot of a private airplane plans the best route to the final
destination. Suppose the pilot determines one route covers a distance of 500 miles
and another covers a distance of 605 miles. a. Write an expression to represent the difference between the two distances of
each route. Then simplify the expression, keeping your answer in radical form.
Show all steps needed to write your answer in simplest form. b. Use a calculator to change the answer to decimal form. Round the answer to the
nearest tenth. Using this decimal number, write a sentence to explain the
meaning of the answer in this situation. 4. An engineer in a computer manufacturing company is trying to determine the best way to
align two circuit boards in a new laptop computer. Suppose one of the circuit boards has
a diagonal measurement of 24 centimeters and the other has a diagonal measurement
of 54 centimeters. a. Write an expression to represent the total length across the diagonals of both
circuit boards. Then simplify the expression, keeping your answer in radical form.
Show all steps needed to write your answer in simplest form. b. Use a calculator to change the answer to decimal form. Round the answer to the
nearest tenth. Using this decimal number, write a sentence to explain the
meaning of the answer in this situation. © K12 Inc. 5. Two students measure their reaction times by seeing how many seconds it takes one of
them to catch a yard stick that the other drops right above his hand. Suppose the radical
0.08 represents the time it takes one of the students to catch the ruler, and 0.18
represents the time it takes the other student to catch it.
a. Write an expression to represent the difference between the two reaction times.
Then simplify the expression, keeping your answer in radical form. Show all
steps needed to write your answer in simplest form. b. Use a calculator to change the answer to decimal form. Round the answer to the
nearest tenth. Using this decimal number, write a sentence to explain the
meaning of the answer in this situation. © K12 Inc.

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