Section 1
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rational expression
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Last updated
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Date created
Mar 1, 2020
Cards (63)
Section 1
(50 cards)
rational expression
an algebraic fraction whose numerator and denominator are polynomials
radical expression
an expression that contains a square root
Fundamental Counting Principle
Uses multiplication of the number of ways each event in an experiment can occur to find the number of possible outcomes in a sample space.
perfect square
a number that is the square of an integer
a quadratic equation has two real solutions if...
the discriminant is > 0
a quadratic equation has no real solutions if...
the discriminant < 0
axis of symmetry formula
negative exponents
flip to the other side of the fraction and turn positive
vertex of a parabola
highest or lowest point of the parabola
radical equation
an equation that has a variable in the radicand
factorial (!)
the product of an integer and all the integers below it
permutation (nPr)
an arrangement of objects when the order of the objects IS important
Radical Function
y = a√x-h + k where (h,k) is the vertex
quadratic formula
binomial
A polynomial with two terms
Vertex Form of a Quadratic Function
where (h,k) is the vertex
a parabola has a maximum if...
it opens down
when finding the power of a product...
"distribute" the power to everything inside
Standard Form of a Quadratic Equation
parabola
The U-shaped graph of a quadratic function
probability
# of favorable outcomes / # of total possible outcomes
degree of a polynomial
the greatest degree of any term in the polynomial
degree of a monomial
the sum of the exponents of the variables in the monomial
a parabola opens down if...
a < 0
odds against
# of unfavorable outcomes / # of favorable outcomes
scientific notation
a method of expressing a quantity as a number (between 1 & 10) multiplied by 10 to the appropriate power
when raising a power to another power...
multiply the exponents
discriminant formula
determines how many solutions a quadratic equation will have
domain
included x-values of a function
exponential function
y = a*b^x
when dividing powers with the same base...
subtract the exponents
radicand
The expression under the radical sign
extraneous solution
a number that does not satisfy the original equation
range
included y-values of a function
trinomial
A polynomial with three terms
descending order
when the terms of an expression are written from highest degree to lowest degree
monomial
A number, a variable, or a product of a number and one or more variables (1 term)
when multiplying powers with the same base...
add the exponents
combination (nCr)
an arrangement of objects when the order of the objects is NOT important
odds in favor
# of favorable outcomes / # of unfavorable outcomes
zeros of a function
x-intercepts, roots, or solutions
exponential decay formula
y = a(1 - r)^t a = initial amount r = rate of decay as a decimal t = time
a quadratic equation has one real solution if...
the discriminant = 0
quadratic function
a parabola opens up if...
a > 0
value of c that completes the square
(b/2)^2
a parabola has a minimum if...
it opens up
anything to the zero power is...
1
excluded value of a rational expression
a value that makes a rational expression undefined (makes the denominator = 0 )
exponential growth formula
y = a(1 + r)^t a = initial amount r = rate of growth as a decimal t = time
Section 2
(13 cards)