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Algebra is a very important class in high school because without a fundamental understanding of algebra, a student will struggle in their future math classes. At Los Angeles Tutor, we have a lot of experience with the subject of algebra and we are ready to help. A lot of students struggle with algebra because they don’t understand the few but very important rules when doing problems. Below, you will find some helpful equations that are the backbone of most algebra classes and must be understood. Your Los Angeles Tutor can help you go through these equations to help you really understand what they mean and how to apply them in your course work. As with most subjects, you must work on your algebra daily to make sure you don’t forget the key equations and rules. Once you have all the equations and rules understood, it’s as important to do as many problems as you can. If you succeed at doing your homework problems correct, then you should be confident that you’ll do great on the exam. At the bottom of the page, you will find a list of resources you can utilize on your own or with your Los Angeles Tutor to get extra practice. The more practice you have working through algebra problems, the more comfortable you will be with the subject which should lead to success when taking the exam. CONTACT US today for more information on getting an algebra tutor in the Beverly Hills, Brentwood, Pacific Palisades, West Los Angeles, Santa Monica and Westwood areas.
Algebra Tutor
Helpful Algebra Formulas
Straight-line equation in "slope-intercept form"
y = mx + c Equation
1
Where:
m = slope
c = y-intercept (where the line crosses the y axis)
Slope = y / x = Rise / Run
If the line goes through the origin (0,0) then the straight line equation simplifies to
y = mx Equation 2
By comparing Equation 1 with Equation 2 one can see that when a line goes through the origin, c becomes zero. This is also evident by looking at Figure 1. As the line moves up toward the origin, c becomes less negative and approaches zero.
Laws of Exponents for Algebra
- (xm)(xn) = xm+n
- (xy)m = xmym
- (xm)n = xmn
- x0 = 1
- (xm)/(xn) = xm-n
- x-m= 1/(xm)
- x1 = x
- x-1 = 1/x
- (x/y)n = xn/yn
Binomial Theorem for Algebra
- (a + b)1 = a + b
- (a + b)2 = a2 + 2ab + b2
- (a + b)3 = a3 + 3a2b + 3ab2 + b3
Difference of Squares for Algebra
- a2 - b2 = (a - b)(a + b)
Algebra Resources
The Math Forum at Drexel is a great resource for students that want to find challenging Algebra problems to practice. You’ll also be able to see how other students work through problems.
http://mathforum.org/library/drmath/sets/high_algebra.html
Home School Math is another great resourse students can use to practice their Algebra. They also have algebra tutorials and lessons.
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Figure 1: Equation of a straight line
Pythagoras was a Lonian Greek Philosopher and a Mathematician