Beginning Algebra Contents B

Exponentiation - Powers or Indices
Integral exponentiation - integer exponents

The square of a product and quotient
The rules for the manipulation of powers - Fundamental laws of exponents (Index laws)
Multiplying like bases with exponents
Dividing like bases with exponents
Zero as an exponent
Power rule for exponents
A product raised to an exponent
A quotient raised to an exponent
Negative exponents
Simplifying an exponential expression
Scientific notation
x2 = aa > 0
Square root
Properties of square roots
Adding, subtracting, multiplying and dividing square roots
Rationalizing a denominator
f (x) = x2
Translation of the source quadratic function in the direction of the y-axis,
f (x) = x2 + y0
The principal square root function - the inverse of the square of x (quadratic) function
Definition of the inverse function
The graph of the principal square root function
Translation of the principal square root function in the direction of the x-axis

Terms, variables, constants - coefficients
Monomial, binomial, trinomial,  . . . , polynomial
Simplifying algebraic expressions
Evaluating algebraic expressions
Expanding algebraic expression by removing parentheses (i.e. brackets)
Factoring algebraic expressions, methods
Factoring and expanding algebraic expressions, rules for transforming algebraic expressions

Proportionality

Inverse proportion practice problems

Percent, decimal number and fraction conversions

Basic percent formulas

Beginning Algebra Contents