Addition Property of Equality
Allows us to get an equivalent equation by adding the same expression to both sides of the equations
Is an expression that contains at least one variable
Helpful in learning how to expand binomials, such as (x + y)^n, especially for large values of n.
Use to multiply polynomials.
Give the same numerical value for every number in the domain for the expressions.
If f(x) = f(-x) for all values in its domain.
To write the polynomial as the product of factors.
Have the same variable(s) withe the same exponent(s).
Multiplicative Property of Equality
Allows us to get an equivalent equation by multiplying both sides of the equation by the same number as long as the number used is not zero.
If f(-x) = -f(x) for all values in its domain.
An algebraic expression that contains one or more monomials separated by + or - signs.
Product Property of Radicals
For all real numbers x and y, where x>0 and y>0, then the square root of xy = square root of x times square root of y.
Is an equation that can be written in standard form
ax^2 + bx + c = 0
Quotient Property of Radicals
For all real numbers x and y, where x >0 and y >0. the square root of (x divide by y) is equal to the (square root of x) divide by the (square root of y).
An equation that has a radical with a variable under the radicand.
An equation that contains one or more rational expressions.
Is the ratio of two polynomials, P (sub 1) divided by P (sub 2) where P (sub 2) does not equal 0.
Solutions of the equation ax^2 + bx + c = 0, can be determined by finding the values of x where the graph of the function crosses the x-axis, otherwise known as the x-intercepts.
180 degrees about the origin is the same as point symmetry of relection through the origin
When the numerator and denominator in the rational expression have no common factors other than 1.
The opposite process of squaring a number
Each monomial for the polynomial.
Zero Product Property
That if a and b are ral numbers such that the product ab equals 0, then a = 0 or b = 0.