please do the algebra one worksheet below. make sure to answer CLEARLY and CONCISELY. There are 4 questions. Thanks. 

 

 

Assignment: Solve Rational Equations
Follow the directions to solve each problem. Show all work leading to your answer.
1. Shaun and Kendra want to scan old family photos into a computer photo organizing
program. On his laptop Shaun can scan about five photos in three minutes. Kendra can
scan about eight photos in five minutes on her computer. Working together, how many
minutes (t) would it take for both of them to scan 36 photos?
a. Fill in the blanks in the table below to find the ratios to represent the various photo
scanning rates. Then use the ratios to write a rational equation. Shaun’s
Scanning Rate
___ photos
___ minutes +
+ Kendra’s
Scanning Rate
___ photos
___ minutes =
= Combined
Scanning Rate
___ photos
___ minutes Equation: _______________________ b. Identify the LCD for the equation. Solve the equation by multiplying both sides by the
LCD. Show all the steps necessary to find the answer. Then write a sentence to
describe what the answer means for this situation. 2. Ricardo plans to use two garden hoses to fill an above-ground swimming pool in his
backyard. By itself, the first hose could fill the pool in 12 hours. The second hose could fill
the pool in 10 hours. About how many hours (t) would it take if Ricardo uses both hoses
to fill the pool?
a. Fill in the blanks in the table below to find the ratios to represent the various pool
filling rates. Then use the ratios to write a rational equation. First Garden
Hose
Fill Rate
___ pool
___ hours +
+ Second Garden
Hose
Fill Rate
___ pool
___ hours © K12 Inc. =
= Combined
Fill Rate
___ pool
___ hours Equation: _______________________ b. Identify the LCD for the equation. Solve the equation by multiplying both sides by the
LCD. Show all the steps necessary to find the answer. Then write a sentence to
describe what the answer means for this situation. 3. Professor Ma has a stack of 40 essays to grade. By herself, the professor can grade
about five essays in two hours. Her teaching assistant, Chen, can grade about seven
essays in three hours. About how many hours (t) would it take both of them to grade all
40 essays if they work together?
a. Fill in the blanks in the table below to find the ratios to represent the various essay
grading rates. Then use the ratios to write a rational equation. Professor Ma’s
Grading Rate
___ essays
___ hours +
+ Chen’s Grading
Rate
___ essays
___ hours =
= Combined
Grading Rate
___ essays
___ hours Equation: _______________________ b. Identify the LCD for the equation. Solve the equation by multiplying both sides by the
LCD. Show all the steps necessary to find the answer. Then write a sentence to
describe what the answer means for this situation. 4. Next, write your own problem that can be solved with a rational equation. Think of a
situation where two people (or things) can work together to finish a job in less time than it
takes each of them to work alone. © K12 Inc. a. Write 3-4 sentences to describe the situation. Then ask a question that can be
solved using a rational equation. Be sure to include enough information so that
someone reading the problem can write an equation to solve the problem. b. Define the variable in the problem and create a table to organize the information
described in your problem. Then use the contents of the table to write a rational
equation.
Variable:______________
Rate #1 + Rate #2 = Combined
Rate Equation: _______________________ c. Identify the LCD for the equation. Solve the equation by multiplying both sides by
the LCD. Show all the steps necessary to find the answer. Then write a sentence
to describe what the answer means for this situation. © K12 Inc.

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

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