002 FOM - Algebra Flashcards
19x-6y+3
Define parts
Each item is a TERM.
19 and 6 are coefficients of X and Y
3 is the constant term
What is an algebraic expression involving x raised to the power of 2?
Quadratic polynomial
Define linear equation
An equation in which all variables have an exponent of 1.
Ex: 6z+5y = 9
Simplify the expression 9x-3y.
3(3x-y)
Define polynomial
A sum of terms that are each powers of x multiplied by coefficients.
When does a fraction equal zero?
If and only if its numerator equals zero.
What is the standard form of a quadratic equation?
a(x^2)*bx+c=0
What is the solution of a quadratic equation?
The root (i.e., the unknown value that makes the quadratic equation equal to zero).
Express the following alternatively:
x^r)(x^s
=x^(r+s)
Express the following alternatively:
x^r)/(x^d
=x^(r-s)
Express the following alternatively:
x^r)(y^r
=(xy)^r
Express the following alternatively:
(x^r)^s
=(x)^rs = (x^s)^r
Express alternatively:
x^-r
=1/(x^r)
What is x^0?
=1
Express alternatively:
x^(r/s)
=[x^(1/s)]^r
What is the effect of multiplying or dividing an inequality by a negative number?
It reverses the order of the inequality.
6>2, but (-1*6)
Define the absolute value of x if x is
|x| = -x
Describe f(x) where x=1. Define x and f.
- Reads “f of x”
- Means the value of f at x = 1
- x is an input, f(x) is the corresponding output.
- There can be only one output for a given input, but more than one input can give the same output.
Define domain
The set of all allowable inputs for a function. Unless arbitrarily specified by the terms of the function, the domain is assumed to be all values of x that result in a real number when substituted into the function f(x).
Where do absolute value signs fit into PEMDAS?
They are equivalent to parentheses.
What is true about equations that have absolute values?
They usually have two solutions
