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Algebra Crunchers
Coolmath's Algebra Practice Problems-
Lines, Radicals, Algebraic Fractions, Functions:

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Now available: Coolmath Algebra books! Part 1, Part 2 and Part 3 covering the Algebra you need from Algebra 1 through Precalculus Algebra (Beginning Algebra through College Algebra)

other Coolmath Books: Coolmath Precalculus Review (the math you really need to survive Calculus 1) and Math Survival Guide (How to conquer math and deal with math anxiety)
Lines:
Finding the slope of a line given two points
Example: Find the slope given ( -2, 5 ) and ( 7, -3 )		 Finding the slope from the equation of a line
Example: Find the slope given 2x+3y=6
Finding the equation of a line given a point and a slope
Example: Find the equation given m = -5 and ( -6, 2 )		 Finding the equation of a line given two points
Example: Find the equation given ( -1, 3 ) and ( 8, -5 )
Finding the equation of the line that is parallel to a given line and passing through a given point
Example: Find the equation that is parallel to 3x-5y=8 and passes through ( -2, 4 )		 Finding the equation of the line that is perpendicular to a given line and passing through a given point
Example: Find the equation that is perpendicular to 7x+6y=-3 and passes through ( 5, -2 )
Radicals:
Simplifying (reducing) radicals
Example: sqrt(75) = 5 sqrt(3)		 Multiplying Radicals
Example: sqrt(8)sqrt(2)
Adding & Subtracting Radicals
Example: sqrt(12) + sqrt(3) - sqrt(27)		 Rationalizing Denominators
Example: 3 / sqrt(5)
Algebraic Fractions:
Adding & subtracting algebraic fractions
Example: ( 6 / ( x^2-4 ) ) - ( 1 / ( x-2 ) )		 Multiplying algebraic fractions
Example: ( ( x^2-9 ) / ( x^2-4x+3 ) ) * ( ( x-1 ) / ( x^2+8x+15 ) )
Dividing algebraic fractions
Example: ( ( x^2-9 ) / ( x^2-4x+3 ) ) / ( ( x^2+8x+15 ) / ( x-1 ) )		  
Function Notation:
Substituting numbers into functions
Example: Given f(x) = 3x^2-7x+5 find f(-4)		 Finding f(x+h)
Example: Given f(x) = 3x^2-7x+5 find f(x+h)
Finding the difference quotient
Example: Given f(x) = 3x^2-7x+5 find ( f(x+h)-f(x) ) / h 		 

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