Advanced Math/Algebra

Advertisement


Question
1. Solve using the Elimination Method.
a. 2r - 7s = -57    7r + 2s = 39
What is the solution set ______?
b. 3x + 4y = 2      6x + 8y = = 4
The solution system is ______.

2. Solve using the Substition Method.
5x + 7y = 41  x = 61 - 8y
What is the solution _______?

3. On three consecutive passes, a football team gains 9 yards, loses 22 yards, and gains 18 yards. What number represents the total net yardage?
The total net yardage is _____ yards.

4. Simplify
-8[-90-(-60-14)]= ______

5. Solve using the multiplication principle.
-6x > 1/13    The solution is x/x __ __.

6. Solve
5/8x + 1/16x = 9/16 + x
The solution is  x=____.

7. . Evaluate a+b/10  for a=80 & b=10.
a+b/10 = ____.

8. Solve the following system of equations.
x + 8y = 6 (1)    x = 8 - 8y (2)
What is the solution of the system_____?

9. .  Use the distributive property to help solve the equation.
4(w-2)= -8    w=_____.


Answer
1. Solve using the Elimination Method.
a. 2r - 7s = -57    7r + 2s = 39
Multiply the first equation by 7/2 and subtract from the second equation.  You can then solve for s.  Put this in the first equation to find r.

What is the solution set ______?
b. 3x + 4y = 2      6x + 8y = = 4
The solution system is ______.
Multiply the first equation by 2 and subtract from the second.
You can then solve for y.  Put this back in the first equation to find x.


2. Solve using the Substition Method.
5x + 7y = 41  x = 61 - 8y
What is the solution _______?
Multiply the second equation by -5.  Add the results to the first equation.  Solve for y, then put this value back in to find x.


3. On three consecutive passes, a football team gains 9 yards, loses 22 yards, and gains 18 yards. What number represents the total net yardage?
The total net yardage is _____ yards.

Compute 9-22+18.


4. Simplify
-8[-90-(-60-14)]= ______

Take 60+14, subtract off 90, then multiply by -8.


5. Solve using the multiplication principle.
-6x > 1/13    The solution is x/x __ __.

Multiply both sides by -1/6.


6. Solve
5/8x + 1/16x = 9/16 + x
The solution is  x=____.

Mulitply the entire equation by 16.  Put the x terms on one side of the equation and the constants on the other.  Divide both sides of the equation by the coefficient in front of the x.


7. Evaluate a+b/10  for a=80 & b=10.

Compute what (80+10)/10 is to get the answer.


8. Solve the following system of equations.
x + 8y = 6 (1)    x = 8 - 8y (2)
What is the solution of the system_____?

Note that when 8y is added to both sides of (2), it is the same on the left side as (1).  The right sides are different, implying there is no solution.


9. .  Use the distributive property to help solve the equation.
4(w-2)= -8    w=_____.

Both terms inside the parenthises need to multiplied by 4,
giving 4w-8=-8.  Find the value for w.

Advanced Math

All Answers


Answers by Expert:


Ask Experts

Volunteer


Scott A Wilson

Expertise

I can answer any question in general math, arithetic, discret math, algebra, box problems, geometry, filling a tank with water, trigonometry, pre-calculus, linear algebra, complex mathematics, probability, statistics, and most of anything else that relates to math. I can even tell you it takes me over 2,000 steps to go a mile, but is that relevant?

Experience

Experience in the area; I have tutored people in the above areas of mathematics for almost two years in AllExperts.com. I have tutored people here and there in mathematics since before I received a BS degree almost 25 years ago. In just two more years, I received an MS degree as well, but more on that later. I tutored at OSU in the math center for all six years I was there. Most students offering assistance were juniors, seniors, or graduate students. I was allowed to tutor as a freshman. I tutored at Mathnasium for well over a year. I worked at The Boeing Company for over 5 years. I received an MS degreee in Mathematics from Oregon State Univeristy. The classes I took were over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more. I graduated with honors in both my BS and MS degrees. Past/Present Clients: College Students at Oregon State University, various math people since college, over 7,500 people on the PC from the US and rest the world.

Publications
My master's paper was published in the OSU journal. The subject of it was Numerical Analysis used in shock waves and rarefaction fans. It dealt with discontinuities that arose over time. They were solved using the Leap Frog method. That method was used and improvements of it were shown. The improvements were by Enquist-Osher, Godunov, and Lax-Wendroff.

Education/Credentials
Master of Science at OSU with high honors in mathematics. Bachelor of Science at OSU with high honors in mathematical sciences. This degree involved mathematics, statistics, and computer science. I also took sophmore level physics and chemistry while I was attending college. On the side I took raquetball, but that's still not relevant.

Awards and Honors
I earned high honors in both my BS degree and MS degree from Oregon State. I was in near the top in most of my classes. In several classes in mathematics, I was first. In a class of over 100 students, I was always one of the first ones to complete the test. I graduated with well over 50 credits in upper division mathematics.

Past/Present Clients
My clients have been students at OSU, people nearby, friends with math questions, and several people every day on the PC, and you're probably make one more.

©2012 About.com, a part of The New York Times Company. All rights reserved.