ID 687

Algebra  K9If

m + n + 1 x 2 x 3 = n +123,

then what is m?

ID 692

Algebra  K9Solve the following for y:
12y – 42 = 2(2y +4)

ID 696

Algebra  K9Simplify the following expression:

1001 x 502 x 1100

ID 698

Algebra  K9Solve the equation

ID 699

Algebra  K9Simplify the following expression:


ID 700

Algebra  K9Which is the best representation of the function

y = 1x + 2?

ID 701

Algebra  K9Which is the best representation of the function y = x2 – 1 ?

ID 705

Algebra  K9Identify the graph that best represents the relationship between the number of liters, N, of gasoline purchased at $1.19 a liter, and the total cost of the gasoline C.

ID 716

Algebra  K9Which two sides of the polygon ABCDE have the same slope?

ID 725

Algebra  K9Find all the points whose X-coordinates are one-third their Y-coordinates.

ID 728

Algebra  K9How many different real numbers satisfy this equation?

ID 732

Algebra  K9Find the sum of the digits of 1011 – 1

ID 737

Algebra  K9How many times larger than 105 is 510?

Find the best approximation.

ID 749

Algebra  K9Which point on the number line represents a number that has a square root greater than itself?

ID 752

Algebra  K9Find the expression that is TRUE.

ID 753

Algebra  K9Find the expression that is TRUE.

Remember, there may be more than one correct answer.

ID 754

Algebra  K9Find the expression that is INCORRECT.

ID 771

Algebra  K9Find b.

ID 1267

Algebra  K9The number in each square is obtained by adding the numbers connected to it from the row below.
For example, 3 + 5 = 8

Find the value of X.

ID 1668

Algebra  K9The girl is 10% taller than the boy.
In ten years, he will be 50% taller than he is now and the girl will be 10% smaller than the boy.

How much faster will the boy be growing than the girl during these ten years?

ID 1785

Algebra  K9Which of the following gives the smallest value?

ID 1863

Algebra  K990% of 90 girls and 80% of 110 boys have shown up in the concert hall on time.

How many children are late?

ID 1961

Algebra  K9In Morse code, each symbol is either a dot or a dash.

 What is the best estimate of the average number of symbols in the set shown at the right?

ID 2019

Algebra  K9F = (x-a)(x-b)(x-c) . . . (x-x)(x-y)(x-z)

Find F.

ID 2176

Algebra  K992% of 900 employees of a company arrive at the workplace on time on Friday.
There are 500 female employees in the company and 94% of them have arrived at the workplace this Friday on time.

What is the percentage of the men who are late?

ID 2998

Algebra  K9Simplify the following expression

5a4 x 4a3 x3a2 x 2a

ID 3005

Algebra  K9How is

(1 x 105) + (2 x 104) + (3 x 103) + (4 x 102) + (5 x 101) + (6 x 100) + (7 x 0)

written in standard form?

ID 3071

Algebra  K9Which is the best representation of the function y2 = x + 1 ?

ID 3094

Algebra  K9Which point on the number line represents a number that has a square root greater than itself?

ID 3108

Algebra  K9Solve the inequality:

33 + 44y < 55

ID 3137

Algebra  K9Find the sum of all the elements of this finite geometric sequence:

1, 2, 4, 8, 16, 32, 64, . . . , 2048.

ID 3208

Algebra  K9How many 2-digit numbers have a tens digit that is greater than the units digit?

ID 3228

Algebra  K9Two candles are of the same height.
One burns in three hours, while the other burns in five hours.

When is one twice the height of the other?

ID 3248

Algebra  K9In Morse code, each symbol is either a dot or a dash.
The Morse code was originally used around 1844 for long distance communication by electrical currents in wires, the telegraph.

 How many different sequences of 6 symbols are possible?

ID 3399

Algebra  K9You can purchase or rent a car.
The car is available at a rental fee of $250 per day (all inclusive).
Purchasing the car costs you $40,000 for the investment and $50 per day.

After how many days would the cost of renting and purchasing be equal?

ID 3400

Algebra  K9Choose the answer without using a calculator.

I multiply together the following numbers:

10, 11, 12, 13, 14,15, 16, 17, 18, 19, 20, and 21

How many zeros are at the end of the product?

ID 3659

Algebra  K9Find n.

ID 3862

Algebra  K9A report said that for every 100 babies born in a county, there were 12 more girls than boys.

What is the highest expected number of girls in a class of 25 children?

ID 3866

Algebra  K9A grocer divides 171kg of potatoes into 5kg and 2kg bags.

If the grocer always produces twice as many small bags as big bags, how many small bags does he use?

ID 3900

Algebra  K9Which number between 40 and 50 can be expressed both as the sum of two consecutive integers and as the sum of three consecutive integers?

ID 3943

Algebra  K9Jim paints 1/6 in an hour and John paints 1/4 in an hour.

How much time will it take them to paint the fence if they both work together?

ID 3965

Algebra  K9A theater sells 150 tickets for a total of $2010.
Children's tickets are sold for half-price, $10.

How many half-price tickets were sold?

ID 4038

Algebra  K9One number is 200% greater than the other and their difference is 20.

What is the smallest number?

ID 4054

Algebra  K91000-1 + 10000 + 10001 =

ID 4137

Algebra  K9A driver's odometer reads 0515 km and the clock reads 05:15 before leaving on a trip.
At the end of the trip, the odometer reads 1505 km and the clock 15:05.

Estimate the average speed of the car.

ID 4205

Algebra  K9There is an equal number of boys and girls.
Share $10 among them so that each girl gets $1 more than each boy.

How much does each girl get?

ID 4337

Algebra  K9A tennis ball keeps on bouncing back to half of the height from which it is dropped.

Calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced five times?

ID 4438

Algebra  K9In a summer camp, the ratio of people was 11 : 12 : 15 for instructors, boys, and girls.

Calculate how many girls were there if the total number of people was 798.

ID 4496

Algebra  K9The balance is in equilibrium.

Find W.

ID 4769

Algebra  K9What is the slope of a line that passes through the points (8, 3) and (8, -4) ?

ID 4788

Algebra  K9If the sum of two numbers is 66 and their difference is 6, what is the product of the numbers?

ID 4895

Algebra  K9 If 5 is added to one-third of a number, the result is double that number.

What is the number?

ID 4915

Algebra  K9My favorite number plus 99 is 9 times less than 999.

What is 9 less than my favorite number?

ID 4928

Algebra  K9If 300 people occupy 5/7 of the seats in a concert hall, how many people would occupy 95 percent of the seats in the hall?

ID 5158

Algebra  K9Brad has as many sisters as brothers.

His sister Sue has twice as many brothers than sisters.

How many children are there in the family?

ID 5175

Algebra  K9The King of a far away land needs to adjust the temperature of the shower all by himself. The inconsiderate servant who normally performs this duty has broken his leg and is therefore unavailable. (The King has failed to realise that kicking the servant caused the servant to trip, breaking his leg because of the fall!)

The King requires a flow rate of 4 liters per minute of 40°C water to be derived from two calibrated hot and cold water taps. The cold water is at 10°C and the hot water is at 50°C. The mixing unit does not change the calibration of the taps or allow heat to be lost from the water.

What settings are required on the taps?

The problem was suggested by Leslie Green

ID 5199

Algebra  K9Positive integers a, b, c, and d are such that

a + b + c + d = 20

Find the maximum possible value of their product.

ID 5235

Algebra  K9A bottle that fully contains juice weighs 1000 grams.
The bottle with half of the juice weighs 600 grams.

What is the weight of the empty bottle?

ID 5332

Algebra  K9Gerry has some candy and Jane has some candy. Gerry gives Jane one of his candies. She now has twice as much as he. She gives Gerry one candy back. They now have the same amount.

How many candies do they have?

ID 5409

Algebra  K9It usually takes a man several hours to walk from a railway station to his home.
If he traveled 20% slower than normal, he would arrive one hour too late.

How many hours does he normally walk?

ID 5583

Algebra  K9Gerry and Jane bought tickets for a rock concert for them and their friends.
They had the same amount of money at the beginning and exchanged by SMS.

How much does a ticket cost?

ID 5683

Algebra  K9Jane hung t-shirts and socks on a clothing line so that a t-shirt is always between any pairs of socks.

How many t-shirts are there on the line if there are 29 pieces of clothing?

ID 5710

Algebra  K9A Swiss post office is selling local stamps and European stamps in a book costing 15 Swiss francs.

If a local stamp is 100 centimes = 1 Swiss franc and a European stamp is 130 centimes = 1.3 Swiss francs, how many stamps are there in the book?

ID 5743

Algebra  K9Alex and Bob each want to buy the same log. But Alex is $17 short and Bob is $3 short.

How much more money does Bob have than his friend?

ID 5833

Algebra  K9A group of humans and cows has twenty heads and fifty feet.

How many tails do they have?

ID 5971

Algebra  K9a + b = 1
b + c = 2
c + d = 3

Find a + d.

ID 6077

Algebra  K9If Alex stands on a bench and Evguenia stands on the ground, then he is 40 cm taller than the girl.
If Evguenia stands on the same bench and Alex is on the ground, then she is one metre taller than the boy.

How high is the bench?

ID 6413

Algebra  K9Two hundred liters of juice are stored in 260 bottles.
Some of them have a volume of 1 liter, the others have a volume of 0.7 liters.

How many 1-liter bottles were used?

ID 6479

Algebra  K9Leslie Green asks:

Mary is half as old as the younger of her two brothers. In 10 years time she will be as old as her younger brother is now.

How old will the younger brother be in 10 years time?

ID 6635

Algebra  K9Jane said to Gerry 'If you give me two goldfish, then we will have an equal number of fish. If you give me one fish, then you will have double the number I have!'

What was the total number of fish they had?

ID 6666

Algebra  K9Jane and Gerry left their home at the same time and drove to the same sea-side resort.
Gerry drove at a speed of 55 miles per hour.
Jane drove at a speed of 44 miles per hour.
Gerry reached the resort 0.5 hours earlier than Jane.

What is the distance between their home and the resort?

ID 6696

Algebra  K9Running the cold water tap fills a bathtub in 15 minutes, while running the hot water tap fills it in 20 minutes.
If the plug is pulled out when the tub is full, it take 12 minutes to empty.

How long does it take to fill the bathtub with both taps running and the plug out?

ID 6791

Algebra  K9Leslie Green asks:

In mathematical language, a function can be considered as a rule to transform something into something else. The inverse function will then change it back again.

If the function gives one over the input, what is the inverse function?

ID 6879

Algebra  K9At one moment of a dance club performance 2/3 of the boys are dancing tango with 3/4 of the girls.

If there are 34 club members present, how many of them are boys?

The tango is danced in pairs, each consisting of one boy and one girl.

ID 6923

Algebra  K9Two trains, initially 400 miles apart, travel towards each other at constant speed, and pass after 4 hours.

If one is travelling 8 miles per hour faster than the other, what is its speed?

ID 6981

Algebra  K9Gerry leaves his house a quarter of an hour after Jane.
If he runs three times faster than Jane walks, how long will it take him to catch up to her?

ID 7246

Algebra  K9John burns 600 calories bicycling an hour and successfully recovers three quarters of them eating a hamburger after the exercise.
He is not happy with the results.
He decides to cycle more time and still eat only one hamburger.

How much time does he need to cycle to reach his goal of burning 1,000 calories?

ID 7320

Algebra  K9The product of three consecutive integers is 990.

What is their sum?

ID 7378

Algebra  K9In Healthy Drink city, at the last Mayor’s election 100 votes were polled.
The Apple Juice Party candidate was elected by a majority of 3 over the Spring Water Party candidate, by 4 over Green Tea Party candidate, and by 9 over Cow Milk Party candidate.

How many votes were polled for the winner?