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Coordinate Geometry
by swerve »
Two lines represented by the equations \(y=x+1\) and \(y=2x+3\)...
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Last post by swerve
Wed Dec 27, 2023 9:03 am
Coordinate Geometry
by swerve »
The straight lines \(3x - 4y + 4 = 0\) and \(6x - 8y - 7 = 0\) are...
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Last post by swerve
Wed Dec 27, 2023 8:44 am
In which of the following pairs are the two numbers reciprocals of one another?
by BTGmoderatorLU »
In which of the following pairs are the two numbers reciprocals of...
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Last post by BTGmoderatorLU
Sun Dec 24, 2023 11:58 am
In a certain department store, the ratio of the number of full-time salespeople to the number of salespeople who are not
by BTGmoderatorLU »
In a certain department store, the ratio of the number of full-time...
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Last post by BTGmoderatorLU
Sun Dec 24, 2023 11:41 am
A corporation triples its annual bonus to \(50\) of its employees. What percent of the employees’ new bonus is the
by AAPL »
A corporation triples its annual bonus to \(50\) of its employees....
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Last post by AAPL
Sat Dec 23, 2023 8:18 am
John cleaned the windows in his house. After breakfast John cleaned \(20\%\) of the windows. After lunch he cleaned
by AAPL »
John cleaned the windows in his house. After breakfast John cleaned...
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Last post by AAPL
Sat Dec 23, 2023 8:03 am
Distance/Rate Problems
by swerve »
Adrian drove from Springfield to Greenville at a rate of \(100\)...
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Last post by swerve
Wed Dec 20, 2023 4:37 pm
Distance/Rate Problems, Word Problems
by swerve »
On a \(20 \,\text{km}\) tunnel connecting two cities \(A\) and \(B\)...
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Last post by swerve
Wed Dec 20, 2023 4:15 pm
At a gathering of \(30\) people, there are \(20\) people who all know each other and \(10\) people who know no one.
by BTGmoderatorLU »
At a gathering of \(30\) people, there are \(20\) people who all know...
1
Last post by adamarkin
Sun Dec 17, 2023 8:46 pm
Two trains for Jhansi leave from Delhi at \(10\) am and \(9.30\) am and travel at \(80 \text{ km/h}\) and
by BTGmoderatorLU »
Two trains for Jhansi leave from Delhi at \(10\) am and \(9.30\) am...
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Last post by BTGmoderatorLU
Sat Dec 16, 2023 6:34 am
A person sees a train passing over \(2 \,\text{km}\) long bridge. The length of the train is half that of the bridge. If
by BTGmoderatorLU »
A person sees a train passing over \(2 \,\text{km}\) long bridge. The...
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Last post by BTGmoderatorLU
Sat Dec 16, 2023 6:20 am
If \(x > 0,\) how many integer values of \((x, y)\) will satisfy the equation \(5x + 4|y| = 55?\)
by BTGmoderatorLU »
If \(x > 0,\) how many integer values of \((x, y)\) will satisfy...
1
Last post by adamarkin
Fri Dec 15, 2023 7:33 pm
If the sum of the first \(n\) positive odd integers is \(n^2,\) what is the sum of all odd numbers from \(25\) to
by AAPL »
If the sum of the first \(n\) positive odd integers is \(n^2,\) what...
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Last post by AAPL
Fri Dec 15, 2023 7:13 am
There are 13 hearts in a full deck of 52 cards. In a certain
by swerve »
There are 13 hearts in a full deck of 52 cards. In a certain game,...
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EXPERT REPLIES
Last post by adamarkin
Thu Dec 14, 2023 10:57 pm
Coordinate Geometry
by swerve »
In the \((x,y)\) coordinate plane, at which \(y\)-value does the line...
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Last post by swerve
Wed Dec 13, 2023 10:12 am
Coordinate Geometry
by swerve »
What is the slope of the line passing through the points \((-1,4)\)...
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Last post by swerve
Wed Dec 13, 2023 9:49 am
The relationship between quantities \(m\) and \(n\) is expressed by the equation \(11m = 5(n - 42).\) If the difference
by AAPL »
The relationship between quantities \(m\) and \(n\) is expressed by...
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Last post by AAPL
Sun Dec 10, 2023 2:38 pm
Yann will be \(x\) years old \(y\) years from now. How old was \(z\) years ago?
by swerve »
Yann will be \(x\) years old \(y\) years from now. How old was \(z\)...
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Last post by geneing
Thu Dec 07, 2023 6:49 pm
Given that: \(4m+n=20;\) and \(|n|\leq 20.\) How many ordered pairs \((m,n)\) exist in which \(m\) and \(n\) both are
by swerve »
Given that: \(4m+n=20;\) and \(|n|\leq 20\) How many ordered pairs...
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Last post by swerve
Thu Dec 07, 2023 12:07 pm
What is the average (arithmetic mean) of all solutions to the equation \(x^3-2x^2-8x=0?\)
by AAPL »
What is the average (arithmetic mean) of all solutions to the...
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Last post by AAPL
Wed Dec 06, 2023 5:55 pm
Which one of the following must equal \(p + q,\) if \(x – y = p\) and \(2x + 3y = q?\)
by AAPL »
Which one of the following must equal \(p + q,\) if \(x - y = p\) and...
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Last post by AAPL
Wed Dec 06, 2023 5:45 pm
All the possible five-digit numbers are formed using only the digits \(4, 5\) and \(6.\) How many of them will have at
by BTGmoderatorLU »
All possible five-digit numbers are formed using only the digits \(4,...
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Last post by BTGmoderatorLU
Fri Dec 01, 2023 9:13 am
\(50\) people consume \(350\, \text{kg}\) of rice in \(30\) days. In how many days will \(35\) people consume
by AAPL »
\(50\) people consume \(350\, \text{kg}\) of rice in \(30\) days. In...
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Last post by AAPL
Thu Nov 30, 2023 9:34 am
Machine \(A\) can produce \(2000\) bolts in \(8\) hours, and machine \(B\) can produce the same number of bolts in \(2\)
by AAPL »
Machine \(A\) can produce \(2000\) bolts in \(8\) hours, and machine...
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Last post by AAPL
Thu Nov 30, 2023 9:12 am
During a day, a door-to-door brick salesman sold three fourths of his bricks for \(\$0.25\) each. If he had \(150\)
by swerve »
During a day, a door-to-door brick salesman sold three fourths of his...
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Last post by swerve
Wed Nov 29, 2023 10:51 am
If \(a, b\) are integers and \(|a-b|=8,\) which of the following is the smallest possible value of \(ab?\)
by BTGmoderatorLU »
If \(a, b\) are integers and \(|a-b|=8,\) which of the following is...
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Last post by BTGmoderatorLU
Sun Nov 26, 2023 9:58 am
A scientist has \(400\) units of a \(6\%\) phosphoric acid solution, and an unlimited supply of \(12\%\) phosphoric
by AAPL »
A scientist has \(400\) units of a \(6\%\) phosphoric acid solution,...
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Last post by AAPL
Fri Nov 24, 2023 6:22 pm
A bottle contains a certain solution. In the bottled solution, the ratio of water to soap is \(3{:}2,\) and the ratio of
by AAPL »
A bottle contains a certain solution. In the bottled solution, the...
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Last post by AAPL
Fri Nov 24, 2023 6:07 pm
In the figure above, \(ABCO\) is a rectangle and the line that passes through points \(A\) and \(B\) is \(3y-2x-15=0.\)
by swerve »
T6199.png In the figure above, \(ABCO\) is a rectangle and the line...
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Last post by swerve
Wed Nov 22, 2023 11:26 am
Line \(L\) in the \(xy\)-plane contains points \(A\) and \(B\) with coordinates \((-4,5)\) and \((6,-1),\) respectively.
by swerve »
Line \(L\) in the \(xy\)-plane contains points \(A\) and \(B\) with...
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Last post by swerve
Wed Nov 22, 2023 11:07 am
If a sum triples in \(4\) years under simple interest, find the time that it would take to become \(5\) times itself at
by BTGmoderatorLU »
If a sum triples in \(4\) years under simple interest, find the time...
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Last post by BTGmoderatorLU
Sun Nov 19, 2023 6:59 am
If distinct numbers \(x, y, z\) and \(p\) are chosen from the numbers \(-2, 2, 1/2, -1/3,\) what is the largest possible
by BTGmoderatorLU »
If distinct numbers \(x, y, z,\) and \(p\) are chosen from the...
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Last post by BTGmoderatorLU
Sun Nov 19, 2023 6:38 am
In a series of six consecutive integers, the sum of the first three integers is \(93.\) What is the sum of the last
by AAPL »
In a series of six consecutive integers, the sum of the first three...
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Last post by AAPL
Wed Nov 15, 2023 3:44 pm
A seller of used cars has \(16\) cars to sell and each of his clients selected \(4\) cars that he liked most. If each
by AAPL »
A seller of used cars has \(16\) cars to sell and each of his clients...
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Last post by AAPL
Wed Nov 15, 2023 3:28 pm
If \(p\) is an integer such that \((-4)^{2p+6}=4^{9-p},\) then \(p=\)
by swerve »
If \(p\) is an integer such that \((-4)^{2p+6}=4^{9-p},\) then \(p=\)...
0
Last post by swerve
Sat Nov 11, 2023 1:12 pm
If \(Z\) is a positive integer and \(192^5\) is a multiple of \(8^Z\), what is the largest possible value of \(Z?\)
by swerve »
If \(Z\) is a positive integer and \(192^5\) is a multiple of...
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Last post by swerve
Sat Nov 11, 2023 12:50 pm
Which of the following numbers is greater than three fourths of the numbers but less than one fourth of the numbers in
by BTGmoderatorLU »
\(38 \,\,69 \,\,22 \,\,73 \,\,31 \,\,47 \,\,13 \,\,82\) Which of the...
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Last post by BTGmoderatorLU
Fri Nov 10, 2023 6:20 pm
If an object travels at five feet per second, how many feet does it travel in one hour?
by BTGmoderatorLU »
If an object travels at five feet per second, how many feet does it...
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Last post by BTGmoderatorLU
Fri Nov 10, 2023 5:55 pm
A rod of length \(30\) units is to be cut into \(P\) parts so that the magnitude of the product of the lengths of the
by AAPL »
A rod of length \(30\) units is to be cut into \(P\) parts so that...
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Last post by AAPL
Tue Nov 07, 2023 4:42 pm
Miss Peachtree has earned an average of \(\$4,200\) for the first eleven months of the year. If She justifies her
by swerve »
Miss Peachtree has earned an average of \(\$4,200\) for the first...
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Last post by swerve
Sun Nov 05, 2023 7:15 am
Johnny travels a total of one hour to and from school. On the way there he jogs at \(5\) miles per hour and on the
by AAPL »
Johnny travels a total of one hour to and from school. On the way...
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Last post by AAPL
Sat Nov 04, 2023 10:55 am
Stephanie, Regine, and Brian ran a \(20\) mile race. Stephanie and Regine's combined times exceeded Brian's time by
by AAPL »
Stephanie, Regine, and Brian ran a \(20\) mile race. Stephanie and...
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Last post by AAPL
Sat Nov 04, 2023 10:46 am
In a set of three numbers, the difference between the largest and the second largest numbers is added to the smallest
by swerve »
In a set of three numbers, the difference between the largest and the...
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Last post by swerve
Sun Oct 22, 2023 6:08 am
In the number line shown above, point \(P\) is midway between \(A\) and \(B\). Point \(Q\) is midway between \(C\) and
by swerve »
2016-01-10_1932.png In the number line shown above, point \(P\) is...
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Last post by swerve
Sun Oct 22, 2023 5:48 am
The population of a certain country increases at the rate of \(30,000\) people every month. The population of the
by BTGmoderatorLU »
The population of a certain country increases at the rate of...
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Last post by BTGmoderatorLU
Sat Oct 21, 2023 11:16 am
During a trip of \(200\) kilometres, Stella covers the first \(80\) kilometres at an average speed of \(x\) kilometres
by AAPL »
During a trip of \(200\) kilometres, Stella covers the first \(80\)...
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Last post by AAPL
Fri Oct 20, 2023 6:42 am
An airplane leaves city \(A\) to make a connection in city \(C\), before going on to city \(B\) (as shown in the map).
by AAPL »
13-Mar19-3w.gif An airplane leaves city \(A\) to make a connection...
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Last post by AAPL
Fri Oct 20, 2023 6:22 am
A family drove from home to a vacation destination \(100\) miles away, driving the first half of the distance at a
by swerve »
A family drove from home to a vacation destination \(100\) miles...
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Last post by swerve
Sat Oct 14, 2023 4:44 pm
When an object drops from a certain altitude, if the distance between it and the ground is \(H\) and the time it has
by BTGmoderatorLU »
When an object drops from a certain altitude, if the distance between...
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Last post by BTGmoderatorLU
Thu Oct 12, 2023 7:48 am
The sum of the first \(100\) positive integers is \(5,050.\) What is the of the first \(200\) positive integers?
by BTGmoderatorLU »
The sum of the first \(100\) positive integers is \(5,050.\) What is...
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Last post by BTGmoderatorLU
Thu Oct 12, 2023 7:29 am