- 1 out of 7 students failed an exam (#1379)
1 out of 7 students failed an ...
numbers, number sense, percents
- 3 3/4 hours to travel (#1266)
3 3/4 hours to travel from Laketon to High Falls. If you leave Laketon at 10:25...
numbers, number sense, numerator, fractions
- 3/4 of people use internet (#932)
3/4 of people use internet and 9/100 use library. How many times more people use internet
dividing fractions, division of fractions, fractions, number sense, numbers, division, operations with fractions, operations, arithmetic operations
- 3/8 of the people at a restaurant are adults (#3258)
3/8 of the people at a restaurant are adults. If there are 90 more children than ...
rational numbers, number sense, numbers
- 7 times the reciprocal of a number (#3218)
7 times the reciprocal of a number plus 2/3 is 3...
rational numbers, number sense, numbers
- A 32 foot ramp connects a platform with a sidewalk (#2504)
A 32 foot ramp connects a platform with a sidewalk that is at ground level. if the platforn is 6 feet above ground ...
triangles, curves, radicals, numbers, number sense, right triangles, pythagorean theorem, plane figures, shapes, polygons
- A biologist is researching a newly-discovered species (#729)
A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable growth medium. Six hours later, he measures 450 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria? (Round k to two decimal places.)
exponential functions, exponents, functions, number sense
- A chemist wishes to strengthen a mixture (#1610)
A chemist wishes to strengthen a mixture that is 10% alcohol to one that is 30% ...
numbers, number sense, percents
- A driver averaged 50 miles per hour (#992)
A driver averaged 50 miles per hour on the round trip between Baltimore and Philadelphia, 100 miles away. The average speeds for going and returning were x and y miles per hour, respectively. Show that
y=25x/(x-25)
numbers, rational numbers, number sense, rational functions
- A grade school is taking a trip (#305)
A grade school is taking a trip to the zoo. A parent group of 6 people is responsible for putting together 225 box lunches for the trip. The group hopes to recruit extra people for the task. Write an equation that gives the average number "n" of box lunches made per person as a function of the number "p" of parents that can come in and help complete the task. Then graph the ...
rational functions, rational numbers, number sense, numbers
- A guy wire reaches from the top (#2005)
A guy wire reaches from the top of a 39.32 ft pole to a point on the ground 15' from the ...
pythagorean theorem, radicals, triangles, number sense, numbers, polygons, shapes, right triangles, plane figures, curves
- A lawnmower uses (#500)
A lawnmower uses 0.6 of a gallon of gasoline per hour. How many gallons of gasoline will be used if it takes 2...
decimals, number sense
- 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 motor boat can travel (#1997)
A motor boat can travel 20 mph in still water. If the boat can travel 3 miles down stream on a river in the same time it takes to travel 2 miles ...
rational numbers, numbers, number sense
- A motorboat travels 30 miles (#1193)
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 12 ...
rational functions, rational numbers, number sense, numbers
- A new car loses 20% of it`s original value (#478)
A new car loses 20% of it's original value when you buy it and 8% every year after. If a new car is valued $20,000 and is now worth $9,600...
percents, 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 pay check lists the gross pay (#3123)
A pay check lists the gross pay as $1208.34 and the net pay $900.21...
numbers, number sense, percents
- A picture frame is 20cm by 14cm (#432)
A picture frame is 20cm by 14cm. the picture, inside the frame, takes up 160cm2...
complex numbers, numbers, 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 tailor needs 32/3 yards of material (#2581)
A tailor needs 32/3 yards of material to make a ...
dividing fractions, division of fractions, fractions, division, operations with fractions, operations, arithmetic operations, number sense, numbers
- A town population is 1000 (#1133)
A town population is 1000 on January 1, 2001. It grows at a constant rate of 2% per ...
properties of exponents, exponents, number sense
- After spending 1/3 of his weekly salary (#3176)
After spending 1/3 of his weekly salary on groceries, and 1/5 on rent, a man has $120 ...
mixed fractions, mixed numbers, numbers, number sense
- Amirah is babysitting (#275)
Amirah is babysitting her neighbor's cats for an hour a day. She earned $100 in 4 ...
simplifying fractions, fractions, number sense, numbers
- An advertising company designs a campaign (#1097)
An advertising company designs a campaign to introduce a new product to a metropolitan
area of population M = 3 millions. Let P = P(t) denote the number of people who become aware of
the product by time t. Suppose that P increases at a rate proportional to the number of
people still unaware of the product. The company determines that no one is aware of the
product at the beginning of the campaign and that 40% of the people were
aware of the product after 10 days of ...
exponents, exponential growth, number sense
- Ariana took 2 hours longer to drive 360 miles (#1996)
Ariana took 2 hours longer to drive 360 miles on the first day of a trip thans she took to drive 270 miles on the second ...
rational numbers, number sense, numbers
- At a little league football game (#375)
At a little league football game, the concession stand sold 6 orange sodas for every 5 grape sodas sold. If 255 sodas were ...
rational numbers, number sense, numbers
- At a sale this week, a desk is being sold (#3054)
At a sale this week, a desk is being sold for $425. This is a 32% discount from the original ...
numbers, number sense, percents, discount
- 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
- Band practice lasted 1 1/4 hours (#252)
Band practice lasted 1 1/4 hours. Two thirds of the time was spent ...
multiplying fractions, multiplication of fractions, fractions, number sense, numbers, multiplication, operations with fractions, operations, arithmetic operations
- Ben is making wooden toys (#453)
Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00 each, how many would he have to sell to make a profit of exactly $36...
operations with decimals, decimals, number sense, operations, arithmetic operations
- Billy wants to put wire around his garden (#1773)
Billy wants to put wire around his garden to keep his dogs from digging his garden up. If the wire is only sold in whole foot how much wire does he have to by if the area of his garden is 620 sq ...
square root, radicals, numbers, number sense
- Boyle`s Law, applied to the amount of gas (#34)
Boyle's Law, applied to the amount of gas used in a given experiment at a constant temperature, states that pV = 240 where p is pressure measured in kilopascals and V is volume measured in cubic centimeters. If a decrease in pressure of 1 kPa produces an increase in volume of 20 cm^3...
rational functions, rational numbers, number sense, numbers
- Cheer practice is 2 1/2 hours long (#1021)
Cheer practice is 2 1/2 hours long. Cheer practice is split up into two groups, 'cheering and dancing', and 'stunting'...
arithmetic operations, operations, numbers, multiplying fractions, multiplication of fractions, fractions, multiplication, operations with fractions, number sense
- Chuck`s class is going on a fieldtrip (#251)
Chuck's class is going on a fieldtrip this next Thursday. There are 95 students going on the field trip, and each one is paying their teacher $3.75...
multiplication of decimals, multiplication, decimals, operations with decimals, operations, arithmetic operations, number sense
- Cindy has a piece of ribbon (#2584)
Cindy has a piece of ribbon that is 4/5 of a foot ...
irrational numbers, number sense, numbers
- Farmer Joe has some chickens (#2570)
Farmer Joe has some chickens. 1/3 of the chickens are roosters. 3/5 of the remaining were hens. There were 30 ...
fractions, numbers, number sense
- Find 3 consecutive even numbers (#1010)
Find 3 consecutive even numbers where the product of the smaller two numbers is 64 less than the square of the largest number.
polynomials, consecutive integers, integers, number sense, numbers
- Find 4 consecutive even integers (#3541)
Find 4 consecutive even integers where the product of the two smaller numbers is 56 less that the product of the two larger numbers.
numbers, integers, number sense, consecutive integers
- Find a number such that the sum of three times the number (#2535)
Find a number such that the sum of three times the number and 25 times the reciprocal of the number is 20
rational numbers, number sense, numbers
- Find all sets of three consecutive (#94)
Find all sets of three consecutive positive even integers whose sum is less then 30.
solving inequalities, inequalities, consecutive integers, integers, number sense, numbers
- Find two consecutive odd integers (#2265)
Find two consecutive odd integers such that the square of the larger is 3 less than 12 times the smaller
polynomials, consecutive integers, integers, number sense, numbers
- 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
- Four friends share a pizza (#873)
Four friends share a pizza. Maria ate one-third ,Ally and Mindy each ate one-frourth of the pizza and Bethany ate one-sixth.
A. into how many equal slices did they need to cut the pizza?
...
number sense, fractions, numbers
- How many yards of material (#1796)
How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 3 1/2 yards long and 5 pieces, each 2 1/4 yards ...
mixed numbers, numbers, number sense
- I am a two-place decimal that is grater than (#430)
I am a two-place decimal that is grater than 80%. Both of my non-zero digits are different even numbers greater than 5...
decimals, number sense
- I bought 3 books from bookstore (#815)
I bought 3 books from bookstore for a total of 148 dollars. A Chemistry Book, Math book, and Notebook. The Chemistry book was One and half times more than the Math book and notebook combine. The notebook was 2 ...
decimals, number sense
- I have 6546/7326 cup of sugar (#266)
I have 6546/7326 cup of sugar. i used 4325/7326...
subtracting like fractions, like fractions, fractions, number sense, numbers, subtraction of fractions, subtraction, operations with fractions, operations, arithmetic operations
- If a single 2 hp motor draws (#1632)
If a single 2 hp motor draws 13.8 amps current on 115 volt AC ...
numbers, number sense, rational numbers
- If k is an interger (#2647)
If k is an interger and 0.0010101 x 10k is greater than 1...
rational numbers, number sense, numbers, scientific notation
- If Micheal spent 3/4 of his money (#1616)
If Micheal spent 3/4 of his money to buy 5/6 of his building ...
arithmetic operations, operations, operations with fractions, division, dividing fractions, fractions, division of fractions, proportions, number sense, numbers
- 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
- If x is 250% of y (#2800)
If x is 250% of ...
percents, number sense, numbers
- If you are laying out a photo page (#960)
If you are laying out a photo page and have each photo cut to 3 2/5 inches ...
mixed fractions, mixed numbers, numbers, number sense
- If you put 25 cents in a bank (#833)
If you put 25 cents in a bank and your money doubles each ...
exponential functions, exponents, functions, number sense
- If you receive a pay increase (#1507)
If you receive a pay increase of 12% what is your new pay rate, assuming your old one was $14...
numbers, number sense, percents, real numbers
- integersThe sum of three consecutive odd integers (#1250)
The sum of three consecutive odd integers is 57...
integers, number sense, numbers, consecutive integers
- 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
- James uses 1/3 of his land (#2513)
James uses 1/3 of his land for growing durians 1/4 for bananas 3/8 for guavas and remaining 9 hectares for ...
rational numbers, 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 cut down 500 trees this year (#3484)
Jim, the lumberjack, cut down 500 trees this year. This is a 25% increase from the number of trees that he cut down last ...
number sense, percents, numbers
- Jim uses 1/3 of his land (#507)
Jim uses 1/3 of his land for growing durians. 3/8 for guavas. 1/4 for bananas and remaining 9 hectres for ...
rational numbers, number sense, numbers
- Joe has 3 boxes of candles (#3059)
Joe has 3 boxes of candles. Each box has 4 candels. Another box is not filled fully but has only 2 ...
improper fractions, fractions, number sense, numbers
- Jon bought groceries (#3304)
Jon bought groceries for $105.30 and paper product for $35.50. The total bill including tax was $142.93. There was no tax charged on the ...
sales tax, percents, number sense, numbers
- Josey is ordering pizza for the classroom (#1437)
Josey is ordering pizza for the classroom. There are 14 people in the classs. She wants to buy enough pizza so that each person could have 1/3 ...
improper fractions, fractions, number sense, numbers
- Judy has 8 candy bars (#1709)
Judy has 8 candy bars. She wants to give 1/3 of a candy bar to everyone in her ...
operations, dividing fractions, division of fractions, fractions, number sense, numbers, arithmetic operations, division, operations with fractions
- Julia bought 3 boxes of candles (#419)
Julia bought 3 boxes of candles. Each box contained 4 candles. She kept 2 candles, gave the rest to Mary and told her to give half of them to ...
improper fractions, fractions, numbers, number sense
- Lala bought 36 oranges (#360)
Lala bought 36 ...
prime numbers, number sense, numbers
- Lyle is putting his videotapes on a shelf (#1142)
Lyle is putting his videotapes on a shelf. The shelf is 12 inches long. If each videotape is 1 1/2 inches ...
renaming mixed numbers, mixed numbers, numbers, number sense
- Mary had 10 balloons (#5)
Mary had 10 balloons. She colored 2/5 of them ...
mixed fractions, mixed numbers, numbers, number sense
- 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
- Monica went to store and buy (#2336)
Monica went to store and buy 3 chocalate milk for 2.99 all ...
rational numbers, number sense, numbers
- 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
- Mrs. Wee bought 5 trays of eggs (#606)
Mrs. Wee bought 5 trays of eggs. Each tray contained 30 eggs. On her way home she fell and broke 2/5 of the eggs. She used 5/9 of the remaining ...
numbers, number sense, fractions
- Mt. Everest, the highest elevation in Asia (#1630)
Mt. Everest, the highest elevation in Asia, is 29,029 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 below sea ...
numbers, number sense, integers, number line
- 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
- Nine times the reciprocal of a number (#1636)
Nine times the reciprocal of a number equals 3 times the reciprocal of 7...
numbers, number sense, rational numbers
- One fourth of the guests gathered in the living room (#1846)
One fourth of the guests gathered in the living room. What fraction of the guests did not gather in the living ...
converting fractions to percents, fractions, percents, improper fractions, number sense, numbers
- One integer is 2 more than 5 times (#828)
One integer is 2 more than 5 times another integer. If the difference of the 2 integers is 26...
integers, number sense, numbers
- 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 pizza has 8 slices (#3254)
One pizza has 8 slices. Deanna ate 2 ...
multiplying fractions, multiplication of fractions, fractions, number sense, numbers, multiplication, operations with fractions, operations, arithmetic operations
- One-fifth of Ed`s Auto sales last year (#3114)
One-fifth of Ed's Auto sales last year were new customers. If 600 cars were sold to new ...
numbers, number sense, fractions
- One-third of the principal square root (#1183)
One-third of the principal square root of a number is 5...
radicals, numbers, number sense
- Pepe counted 57 half gallons of orange juice (#412)
Pepe counted 57 half gallons of orange juice in his ...
mixed numbers, numbers, number sense
- Pepe counted 57 half-gallons of orange juice (#2549)
Pepe counted 57 half-gallons of orange juice in his ...
mixed numbers, number sense, numbers
- percents (#84)
Scott made a nut mixture that contains 67% peanuts by mixing together 10 oz. of mixed nuts that contain 64% peanuts and 5 oz. of a different brand of mixed ...
percents, number sense, numbers
- percents (#85)
Jill created a metal containing 47% silver by combining two other metals. One of these other metals weighed 4 lb. and contained 57% silver. If the other weighed 8 ...
percents, number sense, numbers
- Peter took a trip of 7 7/8 miles (#740)
Peter took a trip of 7 7/8 miles and used 3 1/2 gallons of gas ...
dividing fractions, division of fractions, fractions, number sense, numbers, division, operations with fractions, operations, arithmetic operations
- Phillipe works for a computer store (#3302)
Phillipe works for a computer store that pays a 12% commisssion and no ...
percents, number sense, numbers
- radical equations (#130)
The formula for velocity is v = (sqrt. 2gh)...
radical equations, equations, radicals, numbers, number sense
- radical expressions (#88)
A rectangle is 7 times as long as it is ...
radical expressions, expressions, radicals, numbers, number sense
- radicals (#485)
Use the formula d=4.9t2 for the distance d in meters an object will fall in t seconds. An object is dropped from an airplane 1,240 meters over the ...
numbers, radicals, number sense
- rational numbers (#116)
Is 3pi/2 a rational ...
rational numbers, number sense, numbers
- rational numbers (#1425)
The sum of a number and its reciprocal is 29/10...
numbers, number sense, rational numbers
- Red Lobster had 300 lobsters (#1372)
Red Lobster had 300 lobsters ready for yesterday's service. They have sold 32 percent of ...
percents, number sense, numbers
- Rodney is putting away test tubes (#374)
Rodney is putting away test tubes in science class. He has 50 test tubes and 12 will fit on each rack. How many rack racks will rodney ...
improper fractions, fractions, numbers, number sense
- Roma`s skates cost (#1508)
Roma's skates cost $175. Every 2 weeks that she skates, she spends $4.50 on sharpening the blades. One year, she spent a total of $256 on the cost of skates and ...
numbers, number sense, rational numbers
- Sabrina and Samantha worked on weekends (#356)
Sabrina and Samantha worked on weekends and holidays. They were paid by the day, not the hour. Each of them earned the same whole number of dollars. Last month Sabrina earned $184 and Samantha earned $207...
fractions, number sense, numbers
- Sarah spends 1/4 of her income (#3083)
Sarah spends 1/4 of her income for transportation, 1/6 of her income for food, and 1/3 of her other income for rent and ...
simplifying fractions, fractions, number sense, numbers
- 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 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 (#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 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
- solving inequalities (#93)
The sum of 2 consecutive even integers is at most 400...
solving inequalities, inequalities, consecutive integers, integers, number sense, numbers
- Students were asked to choose (#924)
Students were asked to choose their favorite subject. If 1/4 of the students chose history and 3/8 chose ...
arithmetic operations, operations, addition, fractions, addition of fractions, adding fractions, number sense, numbers, operations with fractions
- Sum of 2 consecutive even integers (#2344)
Sum of 2 consecutive even integers is at most 400. Find the pair of intergers
integers, number sense, numbers
- Suppose that x mL of pure acid (#980)
Suppose that x mL of pure acid are added to 130 mL of a 40% acid ...
rational functions, rational numbers, number sense, numbers
- Suppose the Population of D.C. (#355)
Suppose the Population of D.C. in January of 2006 was 580,000 and 2 percent of them moved every 6 ...
exponential functions, exponents, functions, number sense
- Suppose you buy 1 2/3 lb of bananas (#2725)
Suppose you buy 1 2/3 lb of bananas for .65 ...
numbers, number sense, rational numbers
- Terry has 3.5 oz of orange juice (#99)
Terry has 3.5 oz of orange juice and 2.098 oz of apple juice. He drinks 2 oz of orange juice and 1.3 oz of apple ...
decimal place, decimals, number sense
- The 2000 population of Jacksonville, Florida (#433)
The 2000 population of Jacksonville, Florida was 736,000 and was increasing at the rate of 1.49% each year. At that ...
exponential growth, exponents, number sense
- 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 coach bought 5 pizzas for the party (#1780)
The coach bought 5 pizzas for the party. The team members ate 7/8 of ...
operations with fractions, subtraction, fractions, subtraction of fractions, number sense, numbers, operations, arithmetic operations
- The difference of the squares of two positive consecutive odd integers (#3561)
the difference of the squares of two positive consecutive odd integers is 32...
integers, number sense, numbers, consecutive integers
- The first 1/5 mile path (#680)
The first 1/5 mile path of a 3/4 mile path through a rose garden is paved with ...
numbers, fractions, unlike fractions, number sense
- The high yesterday was 32 and the low was -12 (#1006)
The high yesterday was 32 and the low was -12. What was the difference in the temperatures?_________
integers, number sense, numbers
- The new amount is $66 (#2791)
The new amount is $66. This is 10% increase over the old ...
percents, number sense, numbers
- The product of two consecutive integers (#2234)
The product of two consecutive integers is 12 more than the square of the smaller ...
integers, number sense, numbers, consecutive integers
- The product of two consecutive odd integers (#3263)
The product of two consecutive odd integers is 195...
integers, number sense, numbers
- The product of two consecutive odd numbers (#2256)
The product of two consecutive odd numbers is 195...
integers, polynomials, consecutive integers, number sense, numbers
- The rat population in a major metropolitan city (#840)
The rat population in a major metropolitan city is given by the formula n(t)= 73 e0.015 t where t is measured in years since 1990 and n(t) is measured in millions.
What was the rat population in 1990 ...
functions, exponents, number sense, exponential functions
- The Robinsons family drove (#775)
The Robinsons family drove for 4000 miles. This was 4/5 the distance the Jones family ...
numbers, dividing fractions, division of fractions, fractions, number sense, division, operations with fractions, operations, arithmetic operations
- The square of the largest of three consecutive integers (#1051)
The square of the largest of three consecutive integers is 320 less than the sum of the squares of the two smaller ...
polynomials, consecutive integers, integers, number sense, numbers
- The sum of a number and 8 times its reciprocal (#2507)
The sum of a number and 8 times its reciprocal is 6...
rational numbers, number sense, numbers
- The sum of a number and its reciprocal (#225)
The sum of a number and its reciprocal is 13/6...
reciprocal, rational numbers, number sense, numbers
- The sum of the reciprocal of 2 consecutive even integers (#1693)
The sum of the reciprocal of 2 consecutive even integers is 13/84. find these integers
reciprocal, consecutive integers, integers, number sense, numbers
- The sum of the reciprocals of two consecutive integers (#2264)
The sum of the reciprocals of two consecutive integers is 15/56...
reciprocal, consecutive integers, integers, number sense, numbers
- The sum of the reciprocals of two consecutive odd integers (#2134)
The sum of the reciprocals of two consecutive odd integers is 8/15 ...
reciprocal, integers, consecutive integers, number sense, numbers
- The sum of the squares (#928)
The sum of the squares of two consecutive positive numbers is 61...
systems of equations, consecutive integers, solving equations, solving systems of equations, equations, systems, integers, number sense, numbers
- The sum of the squares of the two (#1053)
The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 times the square of the smaller ...
polynomials, consecutive integers, solving systems of equations, systems of equations, solving equations, systems, equations, integers, number sense, numbers
- The sum of two complex numbers (#455)
The sum of two complex numbers is 4 and their product is 13...
complex numbers, numbers, number sense
- The sum of two integers (#881)
The sum of two integers is -3. When the greater integer is subtracted from the lesser integer, the difference is -11...
integers, number sense, numbers
- The sum of two numbers (#3329)
The sum of two numbers is 12. The sum of the squares of these two numbers is 74...
integers, number sense, numbers
- The sum of two rational numbers (#191)
The sum of two rational numbers is 15/16. If one of them is 121/112...
rational numbers, number sense, numbers
- The tallest structure in the U.S. (#341)
The tallest structure in the U.S. is a TV tower in Blanchard, North Dakota. Its height is 2063 feet. A 2382-foot length of wire is to be used as a guy wire attached to the top of the ...
radical equations, equations, radicals, numbers, number sense
- The temperature in Dallas was 20 (#1005)
The temperature in Dallas was 20 and in Chicago the temperature was -10. What was the difference in the temperatures?_________
integers, number sense, numbers
- The temperature on Monday (#1004)
The temperature on Monday was 13 and on Tuesday was -5. What was the difference in the temperatures?_________
integers, number sense, numbers
- The total cost of a radio and a camera (#2374)
The total cost of a radio and a camera is $1650. If the radio costs 4/7 as much as the ...
fractions, numbers, fractional equations, equations, number sense
- The width of a rectangle (#1326)
The width of a rectangle is 16 feet less than 3 times the length. If the area is 35 square ...
numbers, number sense, rational numbers
- There are 42 pupils in a class (#2545)
There are 42 pupils in a class. 3/4 of the boys and 2/3 of the girls travel to school by bus. The total number of boys and girls who travel to school by bus is 30. How many boys are there in the ...
rational numbers, number sense, numbers
- There are shirts in a box (#1277)
There are shirts in a box. 1/2 of them are small. 2/5 of them are medium. and 5 of them are ...
number sense, numbers
- There was 20 liters of milk at the refrigerator (#3466)
There was 20 liters of milk at the refrigerator this morning. Jenny drank 7 5/6 liters of it. Along came Olivia who drank 1 2/5 liters of the milk. Then Sarah woke up and drank 3 2/8 of ...
numbers, number sense, mixed numbers, mixed fractions
- There were 108 flowers (#1834)
There were 108 flowers. 4/9 of the flowers bloomed.
How many did not ...
arithmetic operations, fractions, division of fractions, dividing fractions, operations, number sense, numbers, operations with fractions, division
- Three consecutive even integers (#1447)
Three consecutive even integers are such that the square of the third is 100 more than the square of the ...
consecutive numbers, consecutive integers, solving systems of equations, systems of equations, solving equations, systems, equations, integers, number sense, numbers
- Tom had 15 trucks (#6)
Tom had 15 trucks. He gave 2/5 of them to his ...
mixed fractions, mixed numbers, numbers, number sense
- Ty ran 23 5/6 miles (#1064)
Ty ran 23 5/6 miles. Tubba Bubbu ran 7 times more far than ...
number sense, mixed numbers, mixed fractions, numbers
- Use an exponent to write an expression (#189)
Use an exponent to write an expression with 5 3s that have a value of zero.
properties of exponents, exponents, number sense
- 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
- You belong to a wholesale buying club (#1303)
You belong to a wholesale buying club. You can order items from the club with a markup of 8% over the wholesale price. A local retail store, which gets its merchandise at the same wholesale price, offers to sell you those same items at 10% off the shelf ...
percents, number sense, numbers
- You deposit $1500 in an account (#337)
You deposit $1500 in an account that pays 5% interest ...
exponential growth, exponents, number sense
- You get on a diet to lose excess weight (#3504)
You get on a diet to lose excess weight of 80 pounds. You lost 25 percent of the excess. The following month, you take a vacation and increase your excess weight by 20 percent. You get on a diet again and lose 25 percent of the excess ...
percents, number sense, numbers
- You had 42 bananas (#1312)
You had 42 bananas but you ate 7 of ...
number sense, improper fractions, fractions, numbers
- You have 9/4 cup of jelly worms (#475)
You have 9/4 cup of jelly worms and a recipe that calls for 1/2 cup of jelly ...
dividing fractions, division of fractions, fractions, number sense, numbers, division, operations with fractions, operations, arithmetic operations
- You want to make a square pillow (#986)
You want to make a square pillow. You have 729 square inches of material for the front of the pillow. If you use all the ...
number sense, radicals, square root, numbers
- You want to shoot and make 25 shots (#2834)
You want to shoot and make 25 shots per day. If you shoot in sets of ten and make 50%. how many sets will it take to make 25 shots
slope of a function, percents, numbers, number sense, functions
