- 20 more than a number (#682)
20 more than a number tripled is100...
algebraic expressions, expressions
- A bronze alloy consists of copper and tin (#1543)
A bronze alloy consists of copper and tin in the ratio of 11 to 2, respectively. If the bronze weighs 52...
rational expressions, expressions
- A marketing manager travels (#61)
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 ...
simplifying rational expressions, rational expressions, rational numbers, expressions, number sense, numbers
- A part of Death Valley, near bad water (#1945)
A part of Death Valley, near bad water, lies 282 ft below sea ...
numbers, radicals, expressions, radical expressions, number sense
- A soccer field in a city park is rectangular (#2506)
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 ...
radical expressions, radicals, expressions, numbers, number sense
- A train moving at 75mph has a destination (#2155)
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 ...
expressions, algebraic expressions
- A typist types 45 words per minute (#1915)
A typist types 45 words per ...
algebraic expressions, expressions
- A women buys 3 board games (#686)
A women buys 3 board games for $107.10, including tax. If each board game cost $34...
algebraic expressions, expressions
- algebraic expressions (#148)
111.40 is 60% of x
algebraic expressions, expressions
- algebraic expressions (#1001)
47 less than the product of y and 7.
algebraic expressions, expressions
- An airplane descends 4 feet every second (#1405)
An airplane descends 4 feet every second prior to ...
algebraic expressions, expressions, simplifying algebraic expressions
- Andy is putting together alien toys (#476)
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 ...
simplifying expressions, expressions
- At a well known university (#825)
At a well known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth 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 ...
rational expressions, rational numbers, expressions, number sense, numbers
- Bob`s swimming pool has a length (#2220)
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 ...
combining like terms, like terms, algebraic expressions, expressions
- Crane A can unload the container ship (#2040)
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....
fractional coefficients, coefficients, equations, algebraic equations, algebraic expressions, algebraic fractions, expressions
- Erica hiked up a mountain trial (#1003)
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 ...
equations, fractional coefficients, expressions, coefficients, algebraic fractions, algebraic expressions, algebraic equations
- For two consecutive integers (#186)
For two consecutive integers, the sum of the larger and five times the smaller
simplifying expressions, expressions, consecutive integers, integers, number sense, numbers
- How much is the tax (#1067)
How much is the tax on a $ 50 video game, if the tax rate is 5%
expressions, algebraic expressions
- If one person counts (#283)
If one person counts by 4s to 80 and another person counts by 8s to 80...
expressions
- If the square root of 2 is less than 6 times a number (#1590)
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...
expressions, radical expressions, radicals, numbers, number sense
- It takes doug 6 hours to roof the house (#1861)
It takes doug 6 hours to roof the house. If his son helps it takes 4 ...
rational expressions, expressions
- It takes one man 8 hours to do a certain job (#1998)
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 ...
rational expressions, expressions
- it takes three hours for a pipe (#1269)
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 ...
numbers, number sense, rational expressions, expressions, rational numbers
- Jaime bought a case of concert T-shirts (#550)
Jaime bought a case of concert T-shirts for $450. She kept two for herself and sold the rest for $560, making a profit of $10 on each ...
rational expressions, rational numbers, expressions, number sense, numbers
- Jamie buys a square tablecloth (#2497)
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 ...
radical expressions, radicals, expressions, numbers, number sense
- Jan invested $3600 (#11)
Jan invested $3600, part at 8% and the rest at 7%. If the total income from the investments was $274...
radical expressions, expressions, radicals, numbers, number sense
- Jim can run 5 miles per hour (#2334)
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 ...
rational expressions, expressions
- Kristin can type a 50 page paper (#2349)
Kristin can type a 50 page paper in 8 hours. Last month Kristin and Courtney together typed a 50 page paper in 6 ...
rational expressions, expressions, work rate, rate
- Melanie can paint a certain barn (#824)
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
rational expressions, rational numbers, expressions, number sense, numbers, work rate, rate
- Mickey and Minnie Mouse can eat a piece of cheese (#1918)
Mickey and Minnie Mouse can eat a piece of cheese in 9 minutes. Mickey alone can eat the cheese in 16 ...
adding rational expressions, rational expressions, expressions
- Monica loved the book Wing High, Gooftah (#400)
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 ...
reducing to lowest terms, lowest terms, simplifying algebraic expressions, algebraic expressions, expressions
- Mr. Jenkins can dig a ditch (#39)
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 ...
simplifying rational expressions, rational expressions, rational numbers, expressions, number sense, numbers, work rate, rate
- Ms Forsberg usually swims (#793)
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 ...
expressions, algebraic expressions
- multiplying rational expressions (#112)
Maria's favorite candy bar has 230 claories. the nutrition label sates that 7/8 of the calories come from ...
multiplying rational expressions, expressions, rational numbers, rational expressions, numbers, number sense
- On a three day hike Matthew hiked twice as many miles (#2239)
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 ...
simplifying expressions, expressions
- One person says that numbers in radicals (#3133)
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 ...
radical expressions, radicals, expressions, numbers, number sense
- One water pipe can fill a tank (#3174)
One water pipe can fill a tank in 90 minutes while a second pipe can fill the tank in 60 ...
rational expressions, expressions
- radical expressions (#88)
A rectangle is 7 times as long as it is ...
radical expressions, expressions, radicals, numbers, number sense
- simplifying expressions (#504)
Beatrice owes $8 to each of her 4 friends. Using ...
simplifying expressions, expressions
- simplifying radical expressions (#59)
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)
simplifying radical expressions, radical expressions, expressions, radicals, numbers, number sense
- simplifying radical expressions (#52)
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...
simplifying radical expressions, radical expressions, expressions, radicals, numbers, number sense
- simplifying radical expressions (#37)
What is the square root of 48 minus the square root of 75?
simplifying radical expressions, radical expressions, expressions, radicals, numbers, number sense
- simplifying rational expressions (#133)
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 ...
simplifying rational expressions, rational expressions, rational numbers, expressions, number sense, numbers, work rate, rate
- The additive inverse of a number (#1474)
The additive inverse of a number divided by twelve is the same as one less than three times its ...
rational numbers, rational expressions, expressions, number sense, numbers
- The reciprocal of a number (#1074)
The reciprocal of a number plus the reciprocal of three times the number equals 1/3
rational expressions, expressions
- Two numbers are in the ratio (#864)
Two numbers are in the ratio 5:2. One half of their sum is 10 and a ...
fractional coefficients, expressions, algebraic fractions, algebraic expressions, algebraic equations, coefficients, equations
- Two thirds fo a number increased by two (#2401)
Two thirds fo a number increased by two is ...
algebraic expressions, expressions
- What is the square root (#392)
What is the square root of 49 multiplied by the square root of 9?
radical expressions, expressions, radicals, numbers, number sense
- Working alone it takes George 5 hours (#3428)
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 ...
expressions, rational expressions, work rate, rate
- Your recipe calls for 2 teaspoons of baking powder (#1631)
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 ...
expressions, rational expressions
- Zach, Kaitlyn and Josh went trick or treating (#970)
Zach, Kaitlyn and Josh went trick or treating in different spots. Josh got twice as many goodies as ...
algebraic expressions, expressions
