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Algebra Tutor

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.

http://www.homeschoolmath.net/online/algebra.php

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Figure 1: Equation of a straight line

Pythagoras was a Lonian Greek Philosopher and a Mathematician