Expressions Word Problems
An expression is a combination of numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables arranged in a meaningful way which can be evaluated. Bound variables are assigned values within the expression (they are for internal use) while free variables can take on values from outside the expression.
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Jan invested $3600, part at 8% and the rest at 7%. If the total income from the investments was $274, how much did she invest at each rate?

What is the square root of 48 minus the square root of 75?

Mr. Jenkins can dig a ditch in one hour less then his son. Working together, they can do the job in 2\3 hour. How long does it take for Mr. Jenkins to do the job alone?

The strength of a medication over time is represented by the equation y=200(1.5)^{x}, where x represents the number of hours since the medication was taken and y represents the number of micrograms per milimeter left in in the blood. After 4.5 hours approximately how many micrograms are of this medication are left in the blood?

Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr^{2}, where C is a constant, and r is the distance that the object is from the center of the earth. a. Solve the equation for r. b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.) c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level) ii. The top of Mt McKinley (20,320 feet above sea level)

A marketing manager travels 1080 miles in a corporate jet and then an additional 240 miles by car. If the car ride takes one hour longer than the jet ride takes, and if the rate of the jet is 6 times the rate of the car, find the time the manager travels by jet and find the time the manager travels by car.

A rectangle is 7 times as long as it is wide. Its area is 1400cm^{2}.

Maria`s favorite candy bar has 230 claories. the nutrition label sates that 7/8 of the calories come from fat. How many calories in the candy bar come from fat?

Mario can do the work in X hours. Luigi takes one more hour than Mario to do the work. Together they finish the work in 100 hours. How long does it take each to do the work?


For two consecutive integers, the sum of the larger and five times the smaller

If one person counts by 4s to 80 and another person counts by 8s to 80, will any of those numbers be the same?

What is the square root of 49 multiplied by the square root of 9?

Monica loved the book Wing High, Gooftah. She read the last 28 chapters this past weekend. Seven of the chapters were less than 3 pages long. Which shows the fractional amount of chapters that were less than 3 pages long?

Andy is putting together alien toys called Zergs and Borgs for the display window in a toy store. He has a box of alien toy body parts that contain 45 heads and 55 feet. Each Zerg must have one head and three feet. Each Borg must have four heads and two feet. How many Zergs and how many Borgs can he make if he must use all the heads and feet in the box? Show all of your work. Explain in words how you got your answer and why you did the steps you did to solve the problem.

Beatrice owes $8 to each of her 4 friends. Using integers, write and simplify an expression that represents this situation.


the graph of the function y =log^{5}x appears in which quadrants?

Jaime bought a case of concert Tshirts for $450. She kept two for herself and sold the rest for $560, making a profit of $10 on each shirt. How many shirts were in the case ?

20 more than a number tripled is100. Find the number.

A women buys 3 board games for $107.10, including tax. If each board game cost $34, what was the sales tax rate?


Ms Forsberg usually swims 150 laps a day. Today she decides she is going to swim p more laps. Write an expression for how many laps she will swim? She swims p extra laps every day for 7 days. Write the total amount of laps she swims in 7 days?

Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2 x days. Write a rational expression for the fraction of the barn tht they complete in one day by working together. Evaluate the expression for x =5

At a well known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. Onetenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many underrgraduate students as there are graduate students, then what fraction of the commuters drive more than 40 miles daily?

nine hundred seven less than twice x



Two numbers are in the ratio 5:2. One half of their sum is 10 and a half. Find the numbers.



An airplane descends 4 feet every second prior to landing. Write and simplify an expression to represent the change in the altitude of the airplane after 10 seconds.

Zach, Kaitlyn and Josh went trick or treating in different spots. Josh got twice as many goodies as Kaitlyn. Zachery received 10 more pieces than Kaitlyn.

47 less than the product of y and 7.

Erica hiked up a mountain trial at 3km/h and returned at 4k/h. The entire trip took five hours 10 min including the half an hour she spent at the top. How long was the trial?

How much is the tax on a $ 50 video game, if the tax rate is 5%

The reciprocal of a number plus the reciprocal of three times the number equals 1/3


Simplify the expression: (3x^{2}y)(xy)^{2}


2(a^{2}b^{2})(ab)+a^{4} b^{4} ______________ a^{4}b^{4}


it takes three hours for a pipe to fill a tank of water if the tank does not leak. Our tank has a crack that draines the tank in 5 hours. How long would it take to fill the leaky tank.








A bronze alloy consists of copper and tin in the ratio of 11 to 2, respectively. If the bronze weighs 52oz, how much copper and tin does it contain.

The additive inverse of a number divided by twelve is the same as one less than three times its reciprocal. Find the number.

Three more than eight times a number is equal to 19

If the square root of 2 is less than 6 times a number is divided by 2 less than the number, the quotient is 2. Find the number.


(r^{3}s^{1} / r^{2}s^{6})^{1}

Your recipe calls for 2 teaspoons of baking powder but all you have is baking soda. You know that you can substitute two parts cream of tartar and one part baking soda. How many teaspoons of cream of tartar are need?

What is the value of the rational expression below when x is equal to 3? x+1 x4

It takes one man 8 hours to do a certain job. After the first man has been at work for 3 hours, another man is put to work. The two men then complete the job in 2 more hours. How long would it take the second man to do the job working by himself?

It takes doug 6 hours to roof the house. If his son helps it takes 4 hours. How long does it take his son to roof the house by himself?

Crane A can unload the container ship in 10 hours, and crane B can unload it in 14 hours. Crane A started to unload the ship at noon and was joined by crane B at 2 P.M. At what time was the unloading job of the ship completed?

A typist types 45 words per minute. How do you write a function rule to represent the relationship between the number of typed words and the time in which they are typed?

Mickey and Minnie Mouse can eat a piece of cheese in 9 minutes. Mickey alone can eat the cheese in 16 minutes. How long would it take Minnie alone to eat the cheese?

A part of Death Valley, near bad water, lies 282 ft below sea level. Write an expression that represents the distance in feet of this elevation from sea level.



Bob`s swimming pool has a length of w+14 and a width of w+8. There is a walkway around the pool that is 4 feet wide. Write an expression for the entire area.

A train moving at 75mph has a destination that is 150mi away. The train breaks down and has to be repaired and has delayed the trains schedule by six hours. to get to the destination on schedule, how fast will the tran have to travel?

On a three day hike Matthew hiked twice as many miles on the first day as on the second day. on the third day he hiked 5 miles. Carlos hiked 5 miles on the first day and three times as many miles on the saecond day as on the third A. write and simplify an expression for the total number of miles Matthew hiked. B. Matthewhiked 6 miles on the second day. How many miles did Matthew hike in all. C. If Carlos hiked 5 miles on the third day, which boy hiked a greater total distance?

Two thirds fo a number increased by two is ten. What is the number?


Jim can run 5 miles per hour on level ground on a still day. One windy day, he runs 15 milkes with the wind, and in the same amount of time runs 67 miles against the wind. What is the rate of the wind?

Kristin can type a 50 page paper in 8 hours. Last month Kristin and Courtney together typed a 50 page paper in 6 hours. How long would it take Courtney to type the 50 page paper on her own?

Working alone it takes George 5 hours to decorate the hall for an event. Working alone it takes Wanda 4 hours to decorate the hall for an event. How many hours would it take them to decorate the hall if they worked together?

Jamie buys a square tablecloth. The package label declares, the area of the cloth is 800 sq inches. What is the length of a side of the cloth? Express answer as a simplified radical.

A soccer field in a city park is rectangular. The length of the field is 120 yards and the width of the field is 60 yards. What is the distance from one corner flag to the opposite corner flag?








One person says that numbers in radicals are useless because they do not have any real world relevance. Give a convincing practical example to show this person that they are very practical and we need them. You may get your inspiration from some of the word problems.


One water pipe can fill a tank in 90 minutes while a second pipe can fill the tank in 60 minutes. How long would it take to fill the tank if both pipes were used.


Seven times the product of negative five and a number.



What are careers that use radical equations?

Hint for this assignment: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth. Solve the equation for r. r=w/c Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.) 100=c〖3963〗^(2)=100100c=100c+c39.63 c= (100)/39.63 c=2.52 C=2.52 Use the value of C you found in the previous question to determine how much the object would weigh in Death Valley (282 feet below sea level) The top of Mt McKinley (20,320 feet above sea level) The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet. Solve this equation for h. Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.

One less than a product of two numbers using x and y.

write an algebraic expression for twothirds a number


if a=9,b=8,c=9, simplify the algrbraic expression. a+b

d lincoln navigator candy apple red 2008, male driver, grocery store, parking lot he meets woman on parking lot and her 11 kids. The age range is from 6 years to 17 years of age. The month is Saturday August 15th 7pm 2009. She ended up with $100,010 .

Mikayla made less than 100 oatmeal cookies and chocolate chip cookies. The ratio of oatmeal to chocolate cookies is 1:6. The ratio of burned to not burned is 1:10. How many cookies did she make?



Eighteen divided by a number equals six

the product of the square of a number and five




Rachel can complete a crossword puzzle in an hour and a half, wesley can complete the same crossword in 2 hours. if they work together , in hours , how long should it take them?

cost 464.40 including tax (8%). find price before tax

Twice a number is 12 less than 6 times the opposite of a number. Find the number.

there are 150 apples and they need to split between 40 friends for 30 diffrent pies how much will each friend have in the pies



a rectangular shape has a lengthtowidth ratio of approximately 5 to 3.a designer can use the experssion 1/3(5w) to find the length of such a rectangle with a given width w.find the length of such a rectangle with width 6 inches.

twice the quotient of five times a number t and ten


2 more than 3 times a number is 8 times that same number

9.6% commission on selling houses

a speed of 60mi/h corresponds to 88ft/s. If a light plane`s speed is 150 mi/h, what is its speed in feet per second?

seven times the reciprocal of a number plus five times the reciprocal of the numberequals four. find the number.

johnn and peter can do a piece of work in 3 3/7 days .while john works 3 days and peter works 4 days, they will finish the work .Find the time required by each to do the work

Hooke`s Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 23 cm when the weight is 3kg what is the distance when the weight is 8 kg?

Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 MPG and B is traveling at 50 MPH. Train A passes a station at 3:25AM. If train B passes the same station at 3:37AM what time will train B catch up to train A?

write in lowest terms 5c6d/6c5d

Felix drove 800 miles in x hours on Monday. A). Write a rational expression for his average speed. B.) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.

one half of a number increased by five times the same number

What number can not be used for x in epression 2x1 divided by x squared 1

If 1/2 is 3/4 of 5/6 of a certain number. What is the number

Junior`s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as if takes to go 9 miles upstream, then what is the speed of the current?

what is two thirds the square of a number

Charles can empty the cookie jar in 1 1/2 hours. It takes his mother 2 hours to bake enough cookies to fill it. If the cookie jar is full when Charles comes home from school, and his mother continues baking and restocking the cookie jar, then how long will it take him to empty the jar?

twothirds the square of a number

find the opposite and reciprocal of 200

Train A and train B are traveling in the same direction on parallel tracks train A is traveling 40 miles per hour, and train B is traveling at 48 miles per hour. Train passes the situation at 1:10 PM if train B passes the same station a 1:40 PM. what time will train B will catch up with train A?


In which quadrant would the ordered pair (6,12) fall?

write an algebraic expression to represent each verbal expression. the sum of two consecutive integers




the cost, in dollars, of each sticker if n stickers cost $1.35

THE PHILIPPINES was once a part of the United States. This happened when were an American colony between 1898 and 1946 minus the years of the FilipinoAmerican War (18991901) and the Second World War (194245). However, the Americans promised to leave as soon the Filipinos showed they could run their own government. of course, the Filipinos had no choice but to cooperate with the Americans. fortunately, the Americans colonial officials kept their word and treated the Filipinos well. that is why, until today, the Filipinos who lived under the Americans generally speak well of the American colonial era.

if lynn can finsh a page in p minutes, what piece of the page can she finsh in 5 minutes

annemarie has saved 9 dollars for a new coat. That is 1/6 as much money as she need. How much money does the coat cost?

6 less than the product of 13 and y

two thirds of the square of a number

in 1957,the Soviet Union launched Sputnik 1, the first satellite to orbit Earth. It circled Earth every 1.6 hours for 92 days, then burned up. If the satellite traveled m miles per hour, which algebraic expression shows the length of the orbit?


Evaluate each expression in color for the given values of the variables

“5 less than a number n divided by 3”





two thirds of a number increased by 2


the sum of two consecutive integers


Two computers are available to process a batch of data. The faster computer can process the batch in 36 minutes. If both computers run at the same time htey can process the batch in 20 minutes. How long would it take the slower computer to process the batch alone.


TWO THIRDS OF THE SQUARE OF A NUMBER?

Maddie earns $8 per hour. Write an algebraic expression to evaluate how much money Maddie will earn if she works for 15, 20, 25, or 20 hours.

one less than a product of two numbers

If you ran every 3 days and swam every 4 days, how many days would you run and swim at the same time?

Mr. Jenkins can dig a ditch in one hour less then his son. Working together, they can do the job in 2\3 hour. How long does it take for ...

A plane takes the same amount of time to fly 1500 km at 100 km/h below its top speed as it takes to fly 1250 km at 200 km/h below its top speed. What is the plane`s top speed, in kilometers per hour?"

water is being drianed out of a tank at a rate of 10 cubic feet per minute. let w represent the amount of water in the tank now. write an expression for the amount of water in the tank after 7 minutes. if the amount of water in the tank is now 1000 cubic feet, find the amount of a=water in the tank after 7 minutes.

at noon a train leaves Bridgton heading east at 90mph to Cogsvill, 450 miles away. T 12:15 a train leaves Cogsville heading west to Bridgeton at 100mph. St what time will they pass each other?

Write the algebraic expression for: two thirds of the square of a number



A theater sold 480 tickets for a play last night. Floor seats sold for $30.00 each and balcony tickets sold for $24.00 each. The total amount collected for the 480 tickets was $13,200.00. How many seats of each type were sold?

write the algebraic experession for each verbal experession. twothirds the square of a number



weight of carp in number of years Lewis had has it

jenna had d dimes and n nickles. her sister has 5 times as many dimes and 6 times as many nickles. write the sum of the number of coins they have. and then combind like terns,

Pearl has 10 more pigs on her farm than the sum of her cows and sheep. If she has c cowa NS S SHEEP, how many pigs does she have?

Pearl has 10 more pigs on her farm than the sum of her cows and sheep. If she has c cows ands sheep, how many pigs does she have?

the number of inches in x feet

the number of inches in x feet the number of pounds in y ounces

one pump can drain a swimming pool on 15 hours,while another one takes 10 hours to drain the same pool.How long would it take the two pumps together to drain the pool


write an algebraic expression for the verbal expression n8


0.6(43exponent2)divided by 1/4exponent 2


briana practises the piano 30 minutes everyday write an exspression of the hours she practestes in d days



two thirds the square of a number

Write an algebraic expression in simplest form if a rug with a width of w covers 20cm squared, what is the length?

number of miles george travels in eight hours

brian practices the piano 30 minutes per day? write an expression

how to write the algebraic expression 15b in words






looking for the area of 2M base 2 height with a perimeter of 2M 2M 6M 6M



a man can construct a wall in 20 hours. with the help of his apprentice assistant the task would take 12 hours. How long would it take the apprentice, working alone, to construct the wall?

one half as many relatives as in Georgia`s family

one half as many relatives as in Georgia\`s family

9 more than twice a given number

martina went shopping. she spent onefifth of what she had in her wallet and then onefifth of what remained. in all she spent $36.00. how much did she start with?

the measure of the complement of an angle with measure w

how many minutes are in h hours

A city park has two sidewalks with a grassy area in the center. One sidewalk is 3 meters wide, the other sidewalk is 1 meter wide, and the grassy area is 6 meters wide. All three are 12 meters long. Write an expression for the area of the sidewalks using addition.

supposeyou are helping to prepare a large meal. You can peel 2 carrots per minute. You need 60 peeled carrots. How long will it take you to finish if you already peeled 18 carrots?

If three persons who work at the same rate can do a job together in five days, what frational part of that job can one of those persons do in one day?

the quotient of the square of x and 6


6 less than the product 13 and a number y




seven more than the product of a number and 100

what is twothirds of a square of a number I am doing algebra

oneelebenth the weight, w, decreased by 16 pounds


The total number of fish will depend on the size of a pond or aquarium. At the Reading Mandarin Restaurant a total of 90 tropical fish were placed in an aquarium. For the next 12 months the total number of fish. One month after the fish are first placed in the aquarium, what is the number of fish?


the quotient of a number and 4 more than another number


5 less than the product of 3 and p

Jake has only nickels and dimes in his pocket. Write and simplify an expression for the total value if Jake has 20 coins.

write the expression for 1/2 the square of B

read 9+57 as a sum of integer and the simply the expression

algebra expression six less than three times the squere of y

Grace wants to divide the job of writing x invitations to the party equally among 4 committee members. Write an expression to determine the number of invitations she will have each committee member write?







Janelle has d dimes and n nickels. Her sister has 5 times as many dimes and 6 times as many nickels as Janelle has. Write the of the number of coins they have, and then combine like terms.

if there are 3 engineers that want to meet individually, how many meetings will take place?






what is the square of a number added t the difference of a and b (algebraic expression)?


the product of 6 and the number y


four times the square of a number increased by five times the same number


two thirds the square of a number, what is the answer.


2 + 5(3 + 7)  4squared divided 2


how do you make a problem that involves dividing rational numbers

a longhaul trucker is paid $29 for every 100 miles driven and $17 per stop. If he averages 2400 miles and 35 stops per week., what is his average weekly income? Assuming he takes 2 weeks off each year for vacation, what is his average yearly income?

you bought 5 folders that each cost x dollars, a calculator for $45, and a set of pens for $3

what is three times the reciprocal of a number

a car is traveling at speed of 55 per hour.You want to write an algebraic expression to show how far the car will travel in a certain number of hours.What will be your constant? YOUR VARIABLE

The floor of a rectangle room is "a" feet in length and "b" feet in width. What does 2a + 2b represent?







the quotient of the square of a number t and 14

Is the reciprocal of a product the product of the reciprocals? Why or Why not?

the square of one more than a number

Two more than the product of six and a number squared.

five times a number is 375. find the number


a freight train with 80 cars transports coal and iron ore. Each car carries either 100 tons of coal or 90tons of iron ore. Let c represent the number of cars carrying coal. Write and simplify an expression interms of c for the total weight of the freight transported by the train.


ONE HALF OF A NUMBR INCREASED BY SIXTEEN IS FOUR LESS THAT THAT NUMBER

20 more than a number tripled is100...

2divided by3 a +3 divided by 5 a+ 6 divided by 5 a


four less than the product of two numbers


onehalf the product of 8 and a number

What is the algebraic expression for onehalf the product of 8 and a number



the value in cents of 5 quarters



2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet. a. Solve this equation for h. b. Long’s Peak in the Rocky Mountain National Park, is 14,255 feet in elevation. How far can you see to the horizon from the top of Long’s Peak? Can you see Cheyenne, Wyoming (about 89 miles away)? Explain your answer.

Six less than three times the square of y

The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $4. Total ticket sales were $1050. How many tickets of each type were sold?

The attendance at a baseball game was 400 people. Student tickets cost $2 and adult tickets cost $3. Total ticket sales were $1050. How many tickets of each type were sold?

seven more tha the square of a number "y" divided by two

seven more than the square of a number \"y\" divided by two





Fill in the missing coefficient of x such that there will be an infinite number of solutions to the system of equations. y = 2x + 4 x = 2y + 8


The square root of four and a number expression

Write an algebraic expression for two thirds the square of a number

write twothirds the square of a number in an algebraic expression.

an algebraic expression for twothirds the square of a number

half a number added to the quotient of 10 and 2


the sum of 2 numbers is 33. Using X to represent the larger of the 2 numbers translate "the difference between 6 more than twice the larger number and the sum of the smaller number and 3." into a variable expression. then simplify

3 less than the square of a number p

simplify each expressions 2+(3)

if n+4 represents an odd integer, the next larger odd integer is represented by ?

The larger of two numbers is 7 less than twice the smaller. If two more than 3 times the smaller is decreased by the larger. The result is 23. Find the numbers.


If one more than 3 times a number is divided by the number, the result is four thirds.

If one more than 3 times a number is divided by the number, the result is four thirds. Find the number.


Tonys fish weighs 5 pounds more than three times the weight of marys fish. Let t represent the weight of Tonys fish and let m represent the weight of marys fish. What expression represents the weight of Tonys fish

a part of death vally,near badwater lies 282ft below sea level. write an expression that represents the distance in feet of this elevation from sea level



A farmer has chickens and dogs on her farm. Since the harvest is in, there is not much todo at this point, so she decided to count the legs and heads of these animals. She found there are a total of 184 legs and 68 heads among these animals. How many dogs does she have?



Rowing at 8km/h, in still water, Rima and Bhanu take 16 h to row 39 km down a river and 39 km back. Find the speed of the current to two decimal places.

The expression y+45 gives the year when a person will be 45 years old, where y is the year of birth. When will a person born in 1992 be 45 years old?


The kinetic energy (k) of a moving object varies jointly with its mass (m) and the square of its velocity (v). If an object weighing 90 kilograms and moving with a velocity of 20 meters per second has a kinetic energy of 4500 joules, find its kinetic energy when the velocity is 32 meters per second.

the product of the square of a number and 6






which equation has a graph you can trace to find the value of x that makes 8 = 2x  6 a true statement? i. y = 2x ii. y = 5x iii. y = 2x  6 iv. y = 2x + 1 v. y = 7

the product of 800 and a number


what is the elevation for 32?

1/2 + 1/6 + 1/12 + 1/20 + 1/30


two times the number reciprocal


whats the difference between 7 and 3?

A store sells mixtures of almonds and cashew for $6.50 per pound. Peanuts sell for $2.95 per pound and cashews sell for $7. 95 per pound. How many pounds of each should be used to make 80 pounds of this mixture?

erite an algebric expression halg of Jessica`s height

erite an algebric expression half of Jessica\`s height


Yesterday, a tree had 3 times as many green leaves as brown leaves. Last night, 660 leaves turned brown and now there are 4 times as many brown leaves as green leaves. How many leaves are on the tree?

Mr. Jenkins can dig a ditch in one hour less then his son. Working together, they can do the job in 2/3 hours. How long does it take for Mr. Jenkins to do the job alone?


Find the coefficient of y^6 in (2x3y^2)^6




the quotient of 5 times a number and 9

In 2000, people in the United States watched televison an average of 29 hours per week. Use the expression 29w for w = 4 to find about how many hours per month this is.

find the value of the coefficient of 1/x in the expansion (2x  1/x)^5

Donnie is planning a rectangular garden area in a community garden. His garden will be next to an existing 12 ft . fence . Donnie has 44 ft of fencing to build the other three sides of his garden. How long will the garden be if the width is 12 ft ?

In a soccer league, teams receive 3 points for a win, 2 points for a loss and 1 point for a tie Write an algebraic expression to represent a team`s total points


what is the algebraic expression of onehalf the square of b

sarah is 400 squared older than kate and sue whose sum is 10 apart


Tom and Huck find that working together they can paint a fence in 12 hours. We know from experience that Tom takes twice as long as Huck to paint the fence. How long would it take Huck to paint the fence alone?

the reciprocal of two or more than a number

to cook 10 cups of rice you use 20 cups of water. how many cups of water do you use to cook c cups of rice

A person in Minneapolis at 10 degree F with a 15mph wind or a person in Chicago at 20 degreee F with a 25mph wind. Determine who will feel colder by using the formula Paul Siple.


A conical tank is 12 feet deep and the diameter of the top is 8 feet. If the tank is fill with water to a depth of 7 feet, what is the area of the surface of the water?

Janelle has d dimes and n nickels. Her sister has 5 times as many dimes and 6 times as many nickels as Janelle has. Write the sum of the number of coins they have, and then combine like terms.

what is the percent of 560 if there 28


By the end of the 2001 season, Micheal Jordan had averaged 31.5 points per game over the course of his carrer of 930 games. Write an expression showing how many pionts (p) in total he had scored to average 31.5 per game.

a pilot can travel 400 miles with the wind in the same amount of time as 336 miles against the wind. find the speed of the wind if the pilot`s speed in still air is 230 miles per hour



garnet bought 1 red buttons, 8 blue buttons, and 25 green buttons. write an expression to show how many blue and red buttons she bought.

The difference between 3 times a number and 8 times its reciprocal is 10. Find the number.

A freight train wit 80 cars transports coal and iron ore. Each car carries either 100 tons of coal or 90 tons of ore.

While training for soccer, you work out each day after school. During your workout, you lift weights and play soccer for a total of 75 minutes. You burn 7 calories per minute when playing soccer and 3 calories per minute when lifting weights.

how many medals were won by the 4 countries? U.S. (39) (25) (33) Great Britain (11) (10) (7) Brazil (0) (6) (6) Lithuania (2) (0) (3)

you are making a rectangular poster to advertise a school fundraiser. You want the poster to be twice as long as it is wide. Let w represent the width of the poster.

Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x=5.

three less than some number squared

a plumber charges 25.00 per hour Plus 30.00 for the service call find the total numbers of hour worked by a plumber that charged 142.50

Jessica purchased a 600minute prepaid phone card and called her sister at college. After talking to her sister "t" minutes, she had less than 600 minutes on her calling card. (a) Write an equation to determine the number of minutes remaining on the card. (b) Now, suppose she talked to her sister for 65 minutes, determine how many minutes she has left on her card.

Jessica purchased a 600minute prepaid phone card and called her sister at college. After talking to her sister \"t\" minutes, she had less than 600 minutes on her calling card. (a) Write an equation to determine the number of minutes remaining on the card. (b) Now, suppose she talked to her sister for 65 minutes, determine how many minutes she has left on her card.

a math word problem that involoves combining like terms and following the order of operations

if a person runs 5 miles per day in 40 minutes, what is the rate of speed?

For 1990 through 2000, the number of units N produced by a manufacturing plant can be modeled by N=2t+3, where N is measured in thousands of units and t is the number of years since 1990. The profit per unit P can be modeled by T=2t3, where P is measured in dollars and t is the number of years since 1990. Find an expression for tyhe total profit T, where T is measured in thousands of dollars. What is the total profit in 1995?


if 2x6 is an even integer what is the next consecutive even integer

i have four more fish than sarah

A straight stretch of railroad track connects Goshen to Humber, 16km due west . The highway between the two towns passes through IRONTON, 2km east and 2km north of humber. How much farther is it to drive from umber to Goshen than to take the train?


The annual cost in dollars for removing toxic chemicals fron a town`s water supply is given by the formula: C(p)= 500.000/100p.aEstimate the cost for removing 95% and 90 %. bUse the formula to find C(99.5) and C(99.9) cWhat happens to the cost as the percentage of toxic chemicals removed approaches 100%

find the number of 20ride tickets sold (1) twenty times as many 8ride tickets as 20ride tickets were sold (2) the total number of tickets repreented 3600 rides

The minimum size dance floor that the Prom Committe is considering is 30` by 30`. They assume that this size will allow 100 couples to be on the dance floor at once. To allow for more dancers, the country club can increase the dimensions of the dance floor in 5 foot increments in either direction; however, the committee would like to maintain a square shape. Let n represent the number of 5` increases to the length of each side of the dance floor. Write an expression in terms of n for the additional square feet of the dance floor.


an item costs x dollars. the tax rate is 5% of the cost of the item, or .05x. write and simplify an expression to find the total cost.





you are making a rectangle poster to advertise a school fundraiser. You want the poster to be twice as long as it is wide. Let w represent the width (in meters) of the poster. a) Write and simplify an expression in terms of w for the perimeter of the poster. b) Write and simplify an expression in terms of w for the area of the poster.

Anna is 3 years older than Laura. The product of their ages is double the sum of thier ages. How old are they?

The river boat Delta Duchess paddled upstream at 12 km/h, stopped for 2 h of sightseeing, and paddled back at 18 km/h. How far upstream did the boat travel if the total time for the trip, including the stop, was 7 h?

You have been asked to mix up some 70% isopropyl alcohol solution. You have 95% isopropyl alcohol solution on hand. How much do you have to add to 750 mL of pure water to create a 70% solution?

1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth. a. Solve the equation for r.

A 6ft tall man was standing 54 ft from a light post casts an 18ft shadow. What is the height of the light post?

two thirds of a number increased by two is ten, what is the number?



A design for a walkway calls for a pattern made by alternating red tiles with green tiles. Both the red and the green tiles are squares, with the red tiles having a side length of 3/4 foot and the green tiles having a side length of 2/3 foot. a. if the walkway is 34 feet long, how many times will the pattern repeat? b. each stack of tiles is 17 1/2 inches tall. If each tile is 1 1/4 inches thick, how many tiles are there in a stack?


You bought 3 pieces of chicken that cost x dollars each, a salad for $3 dollars, and a drink for $1.




three one over two minutes= _________ seconds


2^log87 2 with and exponent of log to the base of 8, 7

mark and carlo leave their homes at the same time travelling in opposite directions. mark travel s at 80 kilometers per hour and carlo travels at 72 kilometers per hour. in how mmany hours will they be 760 kilometers apart?


if 6 times a number is increaased by 9, the reasult is the same as the nu,mber increased by 34. Find the number.




lydia is twice older than his daughter what is the age of lydia after three years?

the no. of cells of bacteria doubles every 5hours where the formula is nf=ni times 2 1/5 where nf is the final no. of cells. if a biologists starts with a single cell of bacteria, how many cells will she have after 50 hours?

cube root of 22 over cube root 77 inside a radical

A moving van leaves a house traveling at an average rate of 40 mi/p. The family leaves the house 1/2 hour later following the same route in a car. They travel at an average rate of 60 mi/h A. Define variable for the time traveled by the moving van. B. Write an expression for the time traveled by the car.

if a woman can paint a house in 4 hrs and a man can paint the house in 6 hrs, how long will it take them to paint the house together?

7x to the second power 2xy + 5y to the second power  x to the second power + xy + 11y to the second power

If you traveled 226 miles during a 4hour trip and used 10.5 gallons of gasoline, which expression below tells you how many miles to the gallon your car got on average?


How many hours are there in days?

The seventh grade math classes are going on a field trip. The field trip will cost $7 per student. Write an expression to find the cost of the trip for s students. What is the cost if 26 students go on the trip?

5 more than the product of a number and 3

Write an algebraic expresson that correctly represents the arithmetic sequence 4, 1, 2, 5,.....?

a freight train makes a regular run of 1300 km. according to its present schedule. The train dispatchers want to schedule this run for less thn one hour, but the average spped will have to be increased by 2 km. per hour what average speed will be required to make the run on the new schedule?



Jaime bought a case of concert Tshirts for $450. She kept two for herself and sold the rest for $560, making a profit of $10 on each ...


A Harley Davidson motorcycle shop maintains an inventory of four times as many new bikes as used bikes. If there are 60 new bikes, how many used bikes are now in stock?


twelve less than half of a number

V(s)=s^313s^2+54s72 find V(10)

At a water pollution control facility one pipe can fill a tank in 4 hours. Combined with another pipe the tank can be filled in 2 hours, 24 minutes. How many hours would it take the second pipe to fill the tank by itself?

a basketball player ssored 8 points total doring the first and second quarters of a game.during the third quarter, she scored onethird as many points as she did in the fourth quarter.

the smaller of two number is twothirds of the larger number and the sum of their reciprocal is 1/6.what are the numbers?

a second number is 5 less than three times another number their sum is 31

susan bought a scooter. The scooter can go 30 miles on 5 gallons of gas. How many miles can Susan go is she has 600 gallons of gas?

A rectangular painting with a width of x centimeters has an area of x2 50x square centimeters. Find a binomial that represents the length. See the accompanying figure.

write the expression as a sum, difference, or product of logarithms. Assume that all variables represent positive real numbers

the product of 800 and a number in algebraic rxpression

the product of eight hundred and a number


A polynomial in x has degree 3. The coefficient of x2 is 3 less than the coefficient of x3. Te coefficient of x is three times the coefficient of x2. The remaining coefficient is more than the coefficient of x3. The sum of the coefficients is 4. Find the polynomial.

half the product of five and a number



jim can run 5 MPH on level ground on a still day. on a windy day he runs 13 miles with the wind and in the same amount of time he runs 7 miles against the wind. what is the rate of the wind?



an investment of $10,000 in the emerging country debt fund in 2001 was worth $24,780 in 2006 (www.money.com). what is the 5 year average annual return.

A motorboat travels 30 miles up a river and returned a distance of 27 miles. The entire trip takes 5 hours. If the rate of the motorboat in still water is 12mph, find the rate of the current of the river.

A plane can fly 420 miles in the same time as it takes a car to go 168 miles. If the car travels 84 mph slower than the plane, find the speed, v, of the plane.

Find the 2 consecutive even numbers if onthird of the smaller is one more than onefourth of the bigger.

use the formula to find the imaged distance i for an object that is 2,ooo,ooo mm from a 250 mm tlaphoto lens. formula f=50 and 0=600 mm to find i 1/f1/0+1/i formula



Car A travels 180 miles in the same time it takes Car B to travel 120 miles. If one car is going 20 mph faster than the other car, find both speeds.

It takes Rob 3 hours to do a job. It takes Tim 5 hours to do the same job. If Rob and Tim worked together, how long would it take them?

find all the exact solutions for sqrt of 32cosx=0



Sophies sock drawer holds 32 single socks. There are 20 white socks, 8 green socks and 4 blue socks. Suppose the electricity went out while sophie was getting ready for school. What is the least number of socks she would have to take out of the drawer before she could make sure she had a matching pair?

The speed of a plane is seven times that of the speed of the car. The car takes 3 hours longer than the plane to travel 315 km. Find the speed of the car and the speed of the plane.

How do you write five more than a number g is six less than twice a number h

Maria does certain job in 5 hours. Her friend does the same job in x hours. If both of them work together the work gets completed in 3 hrs. Find the value of x

Wanda walked 234 km in 14 days at this rate how far would she walk in 42 days?

water leaks 7/5 gallons per day lasts 150 days and if 15 leak for 100 days only solve

Steve and john collected 77 baseball cards. John collected two more than four times the number steve collected. Write an expression that describes the number John collected


Torrie has two apples. Ben has 6 apples. If you add those together how many do you have? Take the number that you get and subract 17. Now what is the answer?

if you can paint a fence in 3 hours, and your dad can paint a fence in 1/2 hours. the fence is 799 inches long. How long would it take you to paint a fence if it is 988 inches long?

The length of a rectangle is twice the width. The perimeter is 48 in. Find the dimensions of the rectangle.

5 more than the quotient of a number and 7






kesi bought b bananas at the grocery store.his brother bought 3 less than twice as many as bananas as kesi

Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: w=Cr2, where C is a constant, and r is the distance that the object is from the center of the earth. a. Solve the equation for r.

1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object?

Math problem: Person #1 types 50 pages in 8 hours Person #1 and person #2 type 50 pages in 6 hrs. How many hours does it take Person #2 to write 50 pages?


1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth. a. Solve the equation for r. b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.) c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level) ii. The top of Mt McKinley (20,320 feet above sea level)

A man can paint his home in 6 days. His son can do the same thing in 12 days. How long will it take, if the father and son paint a home together?

Dwight is p years old.Sue is 3 years older than Dwight. Joan is twice as old as Sue. Write an expression in terms of p for: Sue`s age , Joan`s age and the sum of the ages of Dwight, Sue and Joan

Dwight is p years old.Sue is 3 years older than Dwight. Joan is twice as old as Sue. Write an expression in terms of p for: Sue\`s age , Joan\`s age and the sum of the ages of Dwight, Sue and Joan

It takes Bonnie 45 minutes to complete her paper route. With her sister, Jean, it takes 15 minutes. How long does it take Jean to do the route alone?

Working together, Larry, Moe, and curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long will it take Curly to paint the elephant if he worked alone?

Working together, Larry, Moe and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes ot Moe 6 minutes to the paint the elephant. How long would it take Curly to paint the elephant if he worked aline?

redo anumber game using a variable instead of an actual number and rewrite the problem as one rational expression

i need help with my math homework

jim can fill a pool carrying water in 30 minutes , tony can do it in 90 minutes and sue in 45 minutes.how quickly can all the three fill the pool

if b books cost d dollars, what is the unit cost per book

example of a tailor using rational expressions

If f(x)=70x^3/4. How many calories per day does a person who weighs 80k need to maintain life?

algebraic expression 67 less than a number

Simplify the radical expression: √75

lucy and sam are in a 170 miles race. sam travels the first 60 miles at 80 mph and the remaineder of the race at 40 mph (due to complications). lucy travels the whole race at 60 mph. who if anyone wins?

Terry drives a bus 150 miles between two connecting cities, During to hazadous road conditions during a recent winter storm, terry reduces her rate by 10 mph and safely transported her passengers to their destination 30 minutes later then their scheduled arrivial time. what is Terries normal rate of travel? How long did it took for her to complete the trip during the recent storm?

bob has a lap pool 75 feet long and 5 feet wide. he wants to construct a concreate walk around the pool. he plans the walk to be uniform width and cover 336 squared feet, approximetly what will the width of the walk be?

i have 2 apples and bob has 5 apples. how many apples do we have?

Brandon has 189 pieces of candy. He has 8 times as many pieces of chocolate as pieces of hard candy.




The sum of halr a number and that number`s reciprocal is the same as 51 divided by the number. The number is negative. Find the number

The sum of halr a number and that number\`s reciprocal is the same as 51 divided by the number. The number is negative. Find the number

the sum of twice a number and negative four, less six plus double the number.

the average speed of car A is 4/3 or 33% faster than car B. They are both traveling at 700km. Car A arrives 5 hours before Car B. Determine the speed of Car A and Car B

Kevin earns $120 per week working 20 hours per week at a local grocery store. He wants to earn an additional $145 per week so that he can buy a car. If Kevin gets a second job working 10 hours per week, how much will Kevin need to earn per hour at her second job?






(5.9)x³ + 3.4x²7)(2.9)x³9.6x²+3)


longs peak is 14,255 ft in elevation. How far can you see to the horizon from the top of longs peak?

the cost is at most $ 34,087.25

john wants to buy a car for 5,000 at 5% while jerry want to buy a car for 10,000 at 3%. Who has the better deal

Two welders working together can complete a job in 12hrs. One of the welders, working alone, can complete the task in 20hrs. How long would it take the second welder, working alone, to complete the task?

if i save 50 dollars everyday for 30 days than spend half of the money on the 30th day how much will i have

a tank can be filled by one pipe in 30 minutes and emptiedby another in 50 minutes. if both pipes are open,how long will it take to fill the tank?

you think you can pay for one years tuition by selling iced coffee all summer. yourstart up cost are $550 to buy a used mobile coffee stand. you figure your expenses for each iced coffee is $2.

How many murders were there in 2008 for the following: three months, six months, and one year. Using ratinal expression applications?

Show an equation and a solution for the problem. Crane A can unload a ship in 10 hours and crane B can unload it in 14 h. How long will it take the two cranes to unload the ship working together? Round to the nearest tenth.

Maria`s favorite candy bar has 230 claories. the nutrition label sates that 7/8 of the calories come from ...

Maria\`s favorite candy bar has 230 claories. the nutrition label sates that 7/8 of the calories come from ...

a lear jet can fly 1000 miles in the time a prop plane can fly 400 miles. The jet flies 200 miles per hour faster than the prop plane. How fast does the jet fly?

Gina is 4 years older than her sister. Write an expression for the ratio of Gina`s age to her sister`s age.

Gina is 4 years older than her sister. Write an expression for the ratio of Gina\`s age to her sister`s age.

Gina is 4 years older than her sister. Write an expression for the ratio of Gina\\\`s age to her sister\`s age.

A girl was estimated at running a mile in 10 minutes and could continue doing this for a while but, every 5 years her speed will decrease and 3 minutes will be added. At the age of 30 how long will it take her to run 1 mile?

1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth. a. Solve the equation for r. b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true (Sea level is 3,963 miles from the center of the earth). c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below Sea level)

If Dan has x dollars, how many marbles can he buy if each marble costs five cents?

[(0.292 * log a)] + [0.6 * log (a * b1)] = [(0.458 * log b)] + [0.2 * log (b * a2)]

The total number of fish will depend on the size of a pond or aquarium. At the reading Mandarin restaurant a total of 90 tropical fish were placed in an aquarium. For the next 12 months the total fish could be predicted by the equation. P(X)=90(1+ 1.5X)/1+ 0.5X

A. Felix drove 800 miles in x hours. write a rational expression for his speed. B. In 6 hours Felix drove the same speed, write a rational expression for his distance.

Pump A can unload the Lunar Petro in 30 h and pump B can unload it in 24 h. Because of an approaching storm, both pumps were used. How long it take to empty the ship?

How are rational expressions used in baking?


Bill got a job as a painter. He noticed if he put his ladder 9 feet from the side of the building, the top of the ladder was 21 feet off the ground. How long was the ladder?

there are 1280 calories in a 14ounce portion of eagle brand milk. find how many calories are in 2 ounces of eagle brand milk.

A 30in TV set also, has a width 24inches. What is its height?



The force of wind blowing on a vertical surface varies jointly with the area of the surface and the square of the velocity. If a wind of 40 mph exerts a force of 50 lb on a surface of area 1/2 ft ^2 , how much force will a wind of 80 mph exert on a surface of 2 ft ^2 ?

The sun between two numbers is 2. If the difference of 4 time the larger and the smaller is 32, find the numbers.

Hat sizes are determined by measuring the circumference of one`s head in either inches or centimeters. Use ration and proportion to complete the following table. Hat Size Head Circumference Head Circumference (to nearest 1/5 inch) (to nearest centimeter) 7 1/2 23 3/5 60 7 3/8 23 1/5 __59____



The Reciprocal Of A Number Plus The Reciprocal Of Three Times The Number Equals 1/3 Find The Number?

2009+20092009+200920092009/2058+2058+20582058

Sally has two sisters,the sum of their three ages are 52.sally is x,one sister is 3 years older than sally, and the other sister is three times half of Sally`s age. How old is each sister?


What Is the Algebric Expression That Represents "Six Less Than Half A Number"?

two thrids the square of a number


the sum of a number and thirty seven



Max has 5 more than twice as many cookies as Chris. Write an expression that shows the number of cookies Max has if Chris has c cookies

a local printer had setup cost of $150,000, and will charge $15 per page. Te owner wants to determine the relationship between the profit and the expense. How do you set this problem up in mx+b form?


whats the radical expreesion of 75

both circles have the same center, and the radius of the larger circle is R. If the radius of the smaller circle is 3 units less than R, which of the following represents the area of the shaded region?

For a walkathon a sponsor committed to give you a flat flee of $5 plus $2 for every mile you walk.Write an expression for the total amount you will collect from your sponsor at the end of the walkathon. Then evaluate your expression for 20 miles walked.

rational equation.. asa makit.an?

jon delivers newspaperss in 3 hours. it takes his trainee 4 hours to cover the route. how long will it the take them together if they start at oppisite ends?

A number is six less than a larger number.Write an expression for the smaller number.

The cost, in millions of dollars, to remove x% of pollution in a lake modeled by c= 6,000/2002x What is the cost to remove 75%of the pollutant?

The cost, in millions of dollars, to remove x% of pollution in a lake modeled by c= 6,000/2002x. What is the cost to remove 75% of the pollutant?

a man trvels 5 km per hour.,how many hours did he will come back before6pm?

jason can do a certain task in 21 hours, justin can do the same task in 28 hours, and bryan can do the same task in 48 hours. how long will it take to do the task,, if all work together. PROBLEMS INVOLVING RATIONAL ALGEBRAIC


two thirds the square of a number

1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of the earth. a. Solve the equation for r. b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the earth.)

times table don`t stay in my head

In a computer model, the polynomial describes the projected annual number of drug convictions in a hypothetical country t years after the year 2010. The polynomial describes the projected annual number of drug arrests in that country t years after 2010. Write a rational expression that describes the projected conviction rate for drug arrests in that country t years after the year 2010. Question 10 answers

In a computer model, the polynomial describes the projected annual number of drug convictions in a hypothetical country t years after the year 2010. The polynomial describes the projected annual number of drug arrests in that country t years after 2010. Write a rational expression that describes the projected conviction rate for drug arrests in that country t years after the year 2010.

pedro`s age is p. sam`s age is 2 times pedro`s. what is sam`s age?

pedro\`s age is p. sam\`s age is 2 times pedro\`s. what is sam\`s age?

Karyn has earned $56.25 at her afternoon job. If she earns $2.50 per hour, how many more hours must she work to earn a total of $225 to buy a cassette player??? ^__^

What is the value of the rational expression below when x is equal to 3? 17+x/x+2


Melissa sold 15 boxes of raisins and made a profit of $5, the next week she sold 25 boxes of raisins and made a $10 profit. Write an expression that relates her profits to the number of boxes of raisins sold.

At a wellknown university, 1 4 of the undergraduate students commute, and 1 3 of the graduate students commute. Onetenth of the undergraduate students drive more than 40 miles daily, and 1 6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students, then what fraction of the commuters drive more than 40 miles daily?

You can jog 12 miles in the same time that it takes to travel 21 miles in a car. If the car rate is 8 mile per hour faster than jogging rate, find the average rate for each

Arman`s gun contains sqrrt. of 2704 bullets. If he share half of his bullets to Orlan, How many will be left to him?