I am looking for math problems to give to my college algebra class for the students to try for extra credit. It should be problems that they know how to solve, but have to think a bit.
Examples of what I have so far:
– Find all 6 6th roots of 15,625
– Find the equation of the parabola through points (2,-2) (3,-1) (0,2)
Anyone have any suggestions?
I'm not asking for help solving these. I'm asking for suggestions of more problems.
Here are a few of the problems I have used recently for my honors Algebra II brainteaser:
1) a+1=b+2=c+3=d+4=a+b+c+d+5, what is the value of a+b+c+d?
2. Given that a,b,c are positive integers, solve the following system of equations:(stole this off of here)
a(a+b)+c(a-b) = 38
b(b+c)+a(b-c) = 106
c(c+a)+b(c-a) = 218
3) Based on the properties of Logarhithms solve the following:
Log1+Log(1/2)+Log(2/3)+Log(3/4)+….
Log(98/99)+Log(99/100)
4) Three books of different price cost a total of $5.70. The product of their three prices is also $5.70. If all prices are exact to the cent, what is the price of each of the three books?
(Note this problem requires they realize that one of the books will add to 2.85 and the other 2 will add to two…then they can set up a system).
5) Three functions exist f(x),h(x) and g(x) such that the following is true:
1) f(x) passes through (4,25) and (100,-1)
2) g(x) is perpendicuar to f(x) and passes through (-12,-49)
3) h(x) is parallel to g(x)
4) The y-intercept value (b) of the function h(x) can be found by taking a product of the following:
-the slope of f(x)
-the y intercept (b) of f(x)
-the slope of g(x)
-and the y intercept of g(x)
Based on this information what is the h(21)?
I hope some of these five questions would work. If you want to contact me on the side I have at least the first 10 I have used this year on file at school and I could email them. I am sure the answers wil be no problem for you but I have all of them too.
Best wishes either way!
powered by Yahoo Answers
Readers have also enjoyed these related posts:
Parabola
a x^2 +b y +c = 0
point 1
4a -2b + c = 0 eq 1
point 2
9a – b + c =0
point 3
2y +c =
solve for 3 equations and three unkowns. find a, b and c and you will get the equation for the parabola.
References :
solve for X : 2x^4 -26X^2+ 109 = 0
References :
Starting at home, a man travels 9 miles east, then 7 miles north, then 3 miles east , and then x miles south. At this point, the man is exactly 13 miles from his home. Find the two possible values for x.
~~
If 1/3 and 1/4 are two legs of a right triangle, find the length of the hypotenuse.
~~
References :
Here are a few of the problems I have used recently for my honors Algebra II brainteaser:
1) a+1=b+2=c+3=d+4=a+b+c+d+5, what is the value of a+b+c+d?
2. Given that a,b,c are positive integers, solve the following system of equations:(stole this off of here)
a(a+b)+c(a-b) = 38
b(b+c)+a(b-c) = 106
c(c+a)+b(c-a) = 218
3) Based on the properties of Logarhithms solve the following:
Log1+Log(1/2)+Log(2/3)+Log(3/4)+….
Log(98/99)+Log(99/100)
4) Three books of different price cost a total of $5.70. The product of their three prices is also $5.70. If all prices are exact to the cent, what is the price of each of the three books?
(Note this problem requires they realize that one of the books will add to 2.85 and the other 2 will add to two…then they can set up a system).
5) Three functions exist f(x),h(x) and g(x) such that the following is true:
1) f(x) passes through (4,25) and (100,-1)
2) g(x) is perpendicuar to f(x) and passes through (-12,-49)
3) h(x) is parallel to g(x)
4) The y-intercept value (b) of the function h(x) can be found by taking a product of the following:
-the slope of f(x)
-the y intercept (b) of f(x)
-the slope of g(x)
-and the y intercept of g(x)
Based on this information what is the h(21)?
I hope some of these five questions would work. If you want to contact me on the side I have at least the first 10 I have used this year on file at school and I could email them. I am sure the answers wil be no problem for you but I have all of them too.
Best wishes either way!
References :